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INTERNAL AUDITORS' RESPONSES TO EXTERNAL AUDITORS' CRITICISMS OF THE SYSTEM OF INTERNAL CONTROLS BY ALAN B. FRIEDBERG A DISSERTATION PRESENTED TO THE GRADUATE COUNCIL OF THE UNIVERSITY OF FLORIDA IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY UNIVERSITY OF FLORIDA 1983 Copyright 1983 by Alan H. Friedberg ACKNOWLEDGEMENTS I wish to acknowledge the contributions made to this study by my dissertation committee: Rashad Abdel-khalik, Bipin Ajinkya, Douglas Snowball, John Brooks, and Roger Elliot. I wish to express appreciation to the subjects who participated in the experiment and to the NAA, IIA, and EDPA chapters which helped arrange for subjects. I would also like to thank the undergraduate and graduate accounting students and faculty at the University of Florida who helped by taking the pilot tests. I am indebted to Hadley Schafer for helping me contact potential subjects. I must thank my wife, Barbara, for endless hours of editing and my entire family and parents for their continued encouragement and support. TABLE OF CONTENTS PAGE ACKNOWLEDGEMENTS ............................... iii LIST OF TABLES ................................. vii LIST OF FIGURES ................................ x ABSTRACT ....................................... xii CHAPTER I INTRODUCTION ......................... 1 The Research Issue ................... 2 Motivation for the Study ............. 3 The Selection of Internal Auditors as Subjects .......................... 7 The External Auditor's Recommendation 8 Description of the Study ............. 10 Organization of Remaining Chapters ... 13 II BACKGROUND AND LITERATURE REVIEW...... 14 Audit Committees and the Review of Internal Control Criticisms .......... 15 Cost-Benefit Analysis ................ 17 External Auditors' Reliance on Internal Auditors' Work ....................... 27 Auditors' Ability to make Internal Control Judgments .................... 29 The Differential Impact of Source Characteristics on the Internal Auditor's Decision ................... 32 III RESEARCH METHODS .................... 40 Model of Corporate Behavior .......... 40 Experimental Design .................. 42 The Role of the Independent and Dependent Variables in the Overall Decision Model ....................... 57 Subjects ............................. 61 Chapter Summary ...................... 65 IV CAUSAL MODELS AND PATH ANALYSIS ...... 67 V ANALYSIS AND RESULTS ................. 81 Disposition of Missclassified Responses ............................ 84 Intended vs Perceived Classification 87 Subject Reliability .................. 93 Hypothesis One ....................... 97 Hypothesis Two ...................... 101 Tone ................................. 106 Hypothesis Three ..................... 108 Path Analysis ........................ 111 Chapter Summary ...................... 121 VI SUMMARY AND CONCLUSIONS .............. 123 Summary ............................. 123 Conclusions and Implications ......... 128 Limitations of This Study ............ 131 Suggestions for Future Research ...... 133 v APPENDICES A INSTRUCTIONS FOR SUBJECTS ............ 135 B SCENARIOS ........................... 140 C ADDITIONAL QUESTIONS ................. 178 D EXPLANATION OF ADDITIONAL QUESTIONS .. 181 E PRE-TESTING .......................***. 183 F FORMULAS FOR PARTIAL CORRELATION COEFFICIENTS ........................ 186 BIBLIOGRAPHY ........................................ 188 BIOGRAPHICAL SKETCH .............................. 196 LIST OF TABLES Table Page 3-1 Expected Effects of Change Types on Internal Control Reliability ............. 46 3-2 Packages of Scenarios .................... 51 3-3 Relationship Between Expected Subject Perception and Corresponding Manipulation of Internal Control Change ................ 54 3-4 Possible Subject Perceptions and the Corresponding Values of Difference ........ 55 3-5 Subject Pool and Response Rate ............ 64 4-1 Abbreviated Form of Variable Names ........ 68 4-2 Formulas Used to Generate Path Coefficients Used in the Model ......................... 75 4-3 Correlation Pairs and Connecting Paths for the Four-Variable Model ................... 77 4-4 Formulas Used to Generate Path Coefficients in the Five-Variable Model ................ 79 4-5 Correlation Pairs and Connecting Paths for the Five-Variable Model ................... 80 5-1 Abbreviations for Variables ............... 83 5-2 Table of Missclassified Responses as a Percentage of All Responses ............... 84 5-3 Distribution of Subjects' Classification of Type-P2 Scenarios ......................... 85 5-4 Distribution of Subjects' Classification of Type-P3 Scenarios ......................... 86 5-5 Comparison of the Intended and Perceived Results ................................... 92 vii 5-6 Scores Resulting From Comparisons Between Dependent Variables Classified by Type of Change (Intended and Perceived) and Sets of Missclassified Data ....................... 94 5-7 Distribution of Returned Scenarios by Independent Variable ...................... 97 5-8 Evaluation of Changes in Costs and Benefits for Types of Changes ..................... 98 5-9 Mean Points Allocated to Source and Tone, Classified by Perceived Type of Change .... 99 5-10 Mean Points Allocated to Cost-Benefit, Classified by Perceived Type of Change .... 188 5-11 F-Values and Probabilities of Independent Variable "Source", from ANOVAs of Independent Variables on Selected Dependent Variables ....................... 102 5-12 The Expected Effects of Source on Average Recommendation When Classified by Type of Change ................................... 104 5-13 Means of Average of Variable "Decision" Classified by Perceived Type of Change and Source of Recommended Change .............. 106 5-14 Test of Difference in Mean Points Allocated to Tone When Responses are Classified by Intended Manipulation of Tone ............. 108 5-15 Expected Values of the Variable "Difference" for All Perceived Types of Changes ....... 189 5-16 Tests of the Variable "Difference" Classified by Type of Change ............. 110 5-17 Correlation Coefficients For Variables in the Path Analysis Model ................. 112 5-18 Variables Used in Path Analysis .......... 113 5-19 Decomposition of Path Coefficients From Unclassified All-Data Model .............. 116 5-20 Path Coefficients for Classified and Unclassified Models ...................... 118 viii 5-21 Path Coefficients in Order of Magnitude by Perceived Type of Change ................. 119 LIST OF FIGURES Figure Page 2-1 General Model of Factors Influencing Auditors' Responses to External Criticism of the System of Internal Controls ................................. 39 3-1 Possible Combinations of Adding and Deleting a Substitute or Complement Control .................................. 45 3-2 Four Combinations of Source and Tone ..... 49 3-3 Decision Model of Factors Influencing Internal Auditor's Response to External Criticism of the System of Internal Control .................................. 58 3-4 Decision Model of Perceived Factors Influencing Internal Auditors' Responses to External Criticism of the System of Internal Controls ....................... 61 4-1 Four-Variable Causal Model .............. 69 4-2 Model of the Relationship Between Change, Importance, and Decision ................ 69 4-3 Blalock's Model Al ...................... 71 4-4 Five-Variable Model ..................... 78 5-1 Plots of the Average of the Variable "Difference" as a Function of Intended and Perceived Changes ................... 89 5-2 Plots of the Average of the Variable "Decision" as a Function of Intended and Perceived Changes ...................... 90 5-3 "Source" Influence of the Average of the Subjects' Decisions as a Function of Perceived Change ...................... 105 5-4 Unclassified Path Analysis Model Using All Data ............................... 115 Abstract of Dissertation Presented to the Graduate Council of the University of Florida in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy INTERNAL AUDITORS' RESPONSES TO EXTERNAL AUDITORS' CRITICISMS OF THE SYSTEM OF INTERNAL CONTROLS By Alan H. Friedberg December, 1983 Chairman: Rashad Abdel-khalik Cochairman: Bipin B. Ajinkya Major Department: Accounting Internal auditors must evaluate external auditors' recommendations for changes in the internal auditors' systems of internal controls. This study examines some of the factors that influence internal auditors in their evaluation. An experiment was performed using 125 internal auditors as subjects. Each subject was presented with four scenarios which emphasized each of four factors that were thought to influence the internal auditors' decision processes: (1) costs and benefits of the change, (2) source of the recommendation, (3) tone of the recommendation, and xii (4) importance of the internal control procedure being changed. Results indicated that the first factor was consistently the most important influence on the decision makers. Factors two, three, and four varied in relative importance depending on circumstances specified in the scenarios. xiii CHAPTER I INTRODUCTION Corporate managers are responsible for safeguarding the assets and assuring the reliability of the corporation's financial statements. In all but the smallest firms, management must fulfill these responsibilities by installing and maintaining a system of internal controls. The establishment and maintenance of a system of internal control is an important responsibility of management. The system of internal control should be under continuing supervision by management to determine that it is functioning as prescribed and is modified as appropriate for changes in conditions. [AICPA, 1982, section AU320.31] Internal auditors play a major role in managers' efforts to maintain an effective and efficient system of internal control. In particular, internal auditors are involved in the process by which managers modify the system in response to changed conditions. This study focuses upon internal auditors' responses to recommended changes in internal control systems. Through experimentation, this study seeks to provide empirical evidence that will facilitate understanding of the process by which internal control systems are modified. The primary purposes of this first chapter are to identify and describe the research issue and to justify its importance as a topic for research. The first two sections, therefore, consist of a brief presentation of the research issue and of the motivations that led to the choice of the research topic. In the next section, the specific role of the internal auditor in the process of modifying internal control systems is examined. The remaining sections provide a summary of the empirical study that was designed to address the research issue. The empirical study, which used practicing internal auditors as subjects, is reported in depth throughout the remaining chapters. The Research Issue The internal audit staff is responsible for reviewing the system of internal control and evaluating internal and external criticisms of the system. One common source of external criticism is the external auditor's "management letter." Therefore, the focus of this study is the response of internal auditors to the types of criticisms that are often found in letters to management. It is important to know why internal auditors respond to criticisms of their internal control systems for several reasons. These reasons can be categorized by the viewpoints of several interested parties. Internal auditor's point of view. The internal auditor should be aware of the relative importance of various factors on his decision process. This awareness will help him reconcile his method of approaching his job with management's expectations of him. In this sense, the factors that influence his opinion are, to some degree, a measure of his professionalism and independence. External auditor's point of view. The external auditor is frequently the source of the criticism. It would be in his interest to have a better understanding of the impact of his communication in order to make it more effective. Audit committee's point of view. The audit committee must motivate the internal auditors and engage the external auditor in a way designed to make the interests of the internal auditors, external auditors, audit committee, and shareholders coincide as much as possible. For this reason, the audit committee must be informed about the factors influencing the internal auditors' decisions. Unfortunately, not much is known about how internal auditors respond to criticisms of their system of internal controls. Therefore, this study is an empirical attempt to describe the relative importance of some of the factors that influence the internal auditor's decision process. Motivation for the Study Three forces in the current business environment heighten the importance of research in this area. These are (1) the increasing importance of corporate audit committees, (2) the Foreign Corrupt Practices Act (FCPA), and (3) the impact of EDP-related fraud. Corporate audit committees. It is becoming common for the directors of large corporations to establish audit committees. The audit committee is the body ultimately responsible for the maintenance and organization of internal control. This responsibility is based in the Foreign Corrupt Practices Act (FCPA), Securities and Exchange Commission (SEC) release no. 34-15772, New York Stock Exchange (NYSE) rules, and The Statement of Auditing Standards (SAS) section 320.28 [Baruch, 1980 p. 174-5]. Among other things, the audit committee must decide issues involving changes in the system of internal controls. Furthermore, it must document those decisions. Therefore, the more important audit committees become, the more important it is to understand the method by which audit committees obtain their information and document it. The reason an audit committee must carefully document its work is illustrated by the fact that the FCPA does not provide "definitive criteria for management to use in evaluating the adequacy of its system of internal accounting control" [Neumann, 1981, p. 79]. Yet, the audit committee is responsible for the quality of the internal control system. Therefore, the committee should document the extent of its efforts to achieve an acceptable system. Even though the NYSE requires domestic companies traded on the exchange to have corporate audit committees, the duties of the committees have not been specified by any of the authoritative organizations involved [Baruch, 1980, p. 174]. However, there is an increased popularity, or demand, for the audit committee. Reasons given for this increased popularity of the corporate audit committee range from "heightened public awareness of corporate responsibility" to "management's desire for self-regulation" [Neumann, 1981, p. 78]. One reason for the increasing importance of corporate audit committees is suggested by Neumann: a lack of audit committee participation might be viewed by the SEC as a weakness in internal control under the FCPA. Impact of the Foreign Corrupt Practices Act. The second force in the current business environment that increases the importance of research in this area is the impact of the FCPA. The FCPA has focused attention on internal control as a social issue. It has also redefined the responsibilities of corporate boards of directors. Even though the Act was initiated as a measure to inhibit the bribery of foreign officials, it has had a significant impact in directing accountants' attention to the importance of internal controls beyond those necessary to insure the fairness of financial statements. Thus, it provides a motivation for examining the mechanisms through which changes in internal controls occur. EDP-related frauds. The third force in the current business environment is the increasing frequency and rising dollar amount of EDP-related fraud. This is, of course, a result of increasing reliance placed on computers by modern business. The result is due to a perverse relationship between fraud and business use of computers. Business is able to increase productivity and efficiency by using computers. At the same time, computers provide an environment in which frauds can take place faster and with larger dollar consequences than ever before. Increased fraudulent activity [Allen, 1977, p. 52] also has an impact on the cost-benefit structure of internal control decisions because of the impact on the probability of errors. One way of measuring the dollar value of a control is to compute the conditional probability that a fraud will be prevented by a control, given the probability that the attempt at fraud will occur. Therefore, if the probability of an EDP-related fraud increases, then the benefit of a control designed to detect or prevent such a fraud also increases. Because the increase in EDP-related fraud has a direct impact on the costs and benefits of internal control procedures used to protect the firm in an EDP-environment, the increased number and value of EDP-related frauds provides a strong motivation to study internal auditors' responses to suggested changes in EDP-related internal controls. The Selection of Internal Auditors as Subiects As it becomes more common for the directors of large corporations to establish audit committees, the link between corporate responsibility for internal controls and the importance of the internal audit group becomes clearer. The audit committee is the body ultimately responsible for the maintenance and organization of internal control. Hence, the audit committee's responsibility is higher than management's responsibility because it must include control of management itself. Corporate organizations are often arranged such that professional management is directly responsible to the corporate audit committee. One of the management groups that reports directly to the audit committee is the internal audit group. The audit group advises the audit committee on matters concerning the establishment and maintenance of a system of internal control. Therefore, in the event of an external auditor's criticism, the audit committee will rely heavily on the internal audit group's recommendation [Mautz and Neumann, 1977, p. 62]. These considerations underlie this study's focus on the internal audit group's reaction to externally generated suggestions for changes in the system of internal controls. The External Auditor's Recommendation Organizations which depend on the protection afforded by a system of internal controls should have that system periodically reviewed. The review of a system of internal controls often leads to criticisms and related suggestions for "improvement." Those criticisms and suggestions that come from parties external to the corporate entity are the focus of the present study. The response of a firm to external evaluation of internal control may be a function of to whom the criticism is directed, the source of the criticism, and whether or not the firm solicited the criticism. This study is concerned with solicited evaluations, coming from responsible sources and directed to the board of directors. The most important sources of such evaluations are external auditors. The process that gives rise to an external auditor recommending an "improvement in the client's system of internal controls" is closely related to the type of engagement in which the external auditor is involved. The most common involvement between an external auditor and his client, resulting in recommended changes in internal control, is the typical audit of the client's financial statements (hereafter referred to as a standard audit). While other types of auditing engagements are possible (audit of internal control, report to regulatory agencies, audit of a special problem area), the standard audit will serve to illustrate the relationship between the external auditor and his client's system of internal controls. In an audit of financial statements, the external auditor predicates the amount of substantive testing on his evaluation of the client's system of internal controls and his cost-benefit analysis of various auditing techniques. The process by which the external auditor's evaluation affects the extent of substantive testing is sequential in nature. Intuitively, it would appear that the more positive the auditor's evaluation of his client's internal control, the more confidence the auditor would have in his opinion as to the soundness of the client's financial statements. This proposition is supported by Brown [1977] in presenting her financial-analyst's view of the impact of stronger internal controls on the auditor's report and the analyst's evaluation of the client. On the other hand, the authoritative pronouncements [AICPA, 1982, Section AU642.10] indicate that the external auditor's evaluation of his client's internal control system should not (theoretically) influence his level of confidence in his audit opinion, even if the auditor relied on that system in forming his opinion. This is because other audit procedures (analytical review and substantive testing) can compensate for the degree of reliance on internal controls. It is common for external auditors to find weaknesses in the client's system of internal controls during the course of a standard audit. In such an event, the external auditor must report such weaknesses to management or to the audit committee [AICPA, 1982, section AU323.01 amended by section AD642.62]. It also should be noted that suggestions or other comments concerning accounting control and various other matters are often submitted to management by auditors as a result of observations made during their examinations of financial statements. These comments are often submitted by letters, memoranda, and other less formal means. This practice is encouraged. . [AICPA, 1982, section AU642.53] As a result, most audits, even though they may be audits of the financial statements and not internal control audits per se, result in an "internal control letter" to management. These management letters, identifying weaknesses in the client's internal control system, are frequently accompanied by recommended changes to the system. While the study is concerned primarily with independent external auditors' recommendations, solicited recommendations from external systems analysts have been included for comparison. Both of these sources are considered highly responsible; the major difference is that external auditors' recommendations are usually packaged with other auditing services, while a systems analyst's services are solicited for a particular purpose. Description of the Study The study analyzed the responses of 125 subjects (internal auditors and controllers), to external recommendations for changes in the system of EDP-related internal controls. Subjects were asked to assume that they were internal auditors who had to make a recommendation to the audit committee as to whether the proposed change should be implemented. Forty-eight different scenarios were used. However, each subject was required to participate in only four scenarios. The scenarios varied across four dimensions. Each of the dimensions is listed below with a brief description. A more detailed description is found in Chapter III. The dimensions (independent variables) are (1) the strength with which the external recommendation was made, (2) the source of the external recommendation, (3) the type of EDP controls in question, and (4) the type of change being recommended. The strength dimension refers to the tone of the communication. Two levels of strength were used: strong and weak. The source dimension refers to the two sources of evaluation: external auditor or systems analyst. The third dimension deals with the type of EDP controls which were the subject of the evaluation. These were three types: (1) transaction origination, (2) transaction entry, and (3) processing. The fourth dimension deals with the nature or quality of the changes recommended. The four types of criticisms are described briefly below and are detailed in Chapter III. Controls were classified as either "complements" or "substitutes." Complement (important, necessary, needed) controls were defined as controls whose addition or deletion had a significant impact on the overall effectiveness of the internal control procedure described in the scenario. Substitute (unimportant, unnecessary, not needed) controls were defined as controls whose addition or deletion did not, in the author's opinion, change the overall effectiveness of the internal control procedure being evaluated in the scenario. The terms "complement" and "substitute" have been used previously by Fisher in 1978: When two or more controls both contribute to reduce a cause of exposure, one needs to determine whether they are complementary, or actually increase assurance when used together, or are substitutable. [1978, p. 355] The types of changes recommended were the addition of a control, the deletion of a control, or the replacement of one control with another. Some of the possible combinations were not used (see Chapter III). The four types of changes that were used included the following: (1) add a complement, (2) delete a complement, (3) delete a substitute, and (4) replace a substitute with a complement. Subjects were asked to respond to seven questions about each scenario and ten questions about themselves. The seven questions about each scenario addressed the following areas: (1) evaluation of the unchanged internal control procedure, (2) importance of the internal control procedure to the overall system of internal controls, (3) evaluation of the changed internal control procedure, (4) classification of the type of change being suggested, (5) relative importance of four factors on the subject's judgment (source of the criticism, tone of the criticism, subject's evaluation of the cost-benefits associated with making the recommended change, and other factors), (6) evaluation of the impact of the adoption of the recommendation on the quality of the overall internal control system, and (7) subject's recommendation to a hypothetical audit committee. Organization of the Remaining Chapters Chapter II is devoted to background information and a brief review of the literature. Chapter III describes the research methods used in this study. It includes descriptions of a general model of the problem, the experimental design, the independent and dependent variables, instrumental variables, the task and the instrument, subjects used in both pilot and field testing, the experiment, expected responses, and effects of the pilot tests. Chapter IV is a brief description of path analysis. Included are techniques for path estimation, differences in path analysis and regression analysis, and models considered in this study. Chapter V contains the experimental results and the analysis of those results. Chapter VI contains conclusions and suggestions for further research. CHAPTER II BACKGROUND AND LITERATURE REVIEW The previous chapter included a brief review of the interrelationship between audit committees, external auditors' recommendations relating to internal control systems, and the internal audit staff of corporations. The first section of this chapter provides background information which shows that (1) external auditors use the management letter to communicate their critical evaluations of the clients' systems of internal control; (2) audit committees consider it part of their responsibility to review these criticisms; and (3) it is a function of the internal audit group to review the changes recommended by the external auditor and advise the audit committee of their own reaction to these recommendations. It is assumed that internal auditors evaluate internal controls primarily on a cost-benefit basis. Techniques that have been suggested for making cost-benefit analysis of internal control systems are reviewed below. An area closely related to the cost-benefit evaluation of internal controls is the substitution of internal auditing for external auditing to achieve more cost-effective external auditing. Whether or not to include such a trade-off in a cost-benefit analysis is also addressed. It is suggested that auditors have the ability to make expert internal control judgments. The body of literature that has grown around auditors' expert judgment ability is reviewed in the fourth section of this chapter. Finally, the study is related to a brief review of the source credibility literature. The source credibility literature is used to justify the expectation that there will be no difference between the experimental group (source is external auditors) and the control group (source is systems analysts). Audit Committees and the Review of Internal Control Criticisms The question of who reviews criticisms found in a management letter is addressed from both descriptive and normative points of view: Schiff [1977] describes what is being done, while Pomeranz [1977] specifies what should be done. At the 1977 Ross Round-Table Discussions, Schiff, Sorter, and Wiesen examined "The Evolving Role of Corporate Audit Committees" [1977]. Participants in the round table included "audit committee members, lawyers, chief financial officers, practicing certified public accountants, a representative from the SEC, and accounting professors" [Schiff, 1977, p. 20]. One of the things to come out of the meeting was the relationship between the internal audit group and the audit committee. Basically, it was seen that internal auditors review the external auditors' criticisms with the intention of reporting their findings to the audit committee. The June meeting is devoted to a review of internal controls and to gain assurances that shortcomings raised relative to procedures and controls in the outside auditor's management letter have been addressed correctly. [Schiff, 1977, p. 21] The audit committee directly discusses any problems with the chief internal auditor as is evidenced by his position in the company's organizational structure: "the Chief Auditor's position has been elevated to vice-president reporting directly to the audit committee" [Schiff, 1977, p. 21]. Therefore, internal auditors, acting for audit committees, are responsible for the review of the criticism in management letters. Pomeranz pointed out that the audit committee should be concerned with "review of management letters, specifically findings not acted upon" [1977, p. 46]. He emphasized that unadopted changes should be reviewed. Furthermore, he said that the committee should review "internal audit reports in summary form" and consider "corrective actions not taken" [1977, p. 46]. Thus, in many cases, what is done coincides with what should be done. Cost-Benefit Analysis There are at least four reasons why an external organization reviewing a system of internal controls might suggest a change: (1) the change is deemed to be essential; (2) the change is deemed to be a binding constraint to achieving some other goal; (3) the change is deemed to have overriding qualitative considerations; or (4) the change is deemed to be cost-beneficial. The four reasons listed are certainly not mutually exclusive, nor is the extent of the overlap known. However, each of the reasons is discussed independently. Essential controls are those either required by law or deemed almost necessary from a practical business management standpoint. An example of a legally essential control is the requirement of the SEC Release No. 34-15722 that certain companies maintain an audit committee [Baruch, 1980 pp. 174- 175]. Control over access to sensitive computer hardware and software is an example of a practical-management essential control. Controls may become binding constraints in achieving other goals. These controls become important when the primary goal with which they are associated is considered. For example, a firm which is building a submarine has as its primary goal providing services to the government on a cost- plus basis. The government insists on a certain internal control that would be of minor importance in the normal course of business: security over the blueprints. However, because of government security concerns, the entire opportunity to participate in the project may be contingent upon the firm's ability to show that adequate arrangements have been made for the physical security of the blueprints. Thus, physical control of the blueprints, not the ability to reproduce them, is a binding constraint to getting the contract. Changes in controls suggested because of qualitative considerations are normative in nature. Qualitative controls are included in a system because of the belief that certain things should be protected even if they are not material. Common business practices are often qualitative controls. For example, restricting access to accounting records such as payroll ledgers is both a common business practice and a qualitative control. Controls necessitated by qualitative considerations may also be essential, constraining, or cost beneficial. DeMiotto points out that while it is obvious that management would not want to spend more for a control procedure than the benefit to be derived from achieving a particular control objective, it is important to remember that cost considerations do not only encompass direct monetary effects. They include qualitative effects as well. [1980, p.18] This study is not designed to examine qualitative, essential, or constraining controls; however, the controls that are studied may also be so classified. The main thrust of this study is to examine internal auditors' reactions to external auditors' recommendations for control changes from a cost-benefit standpoint only. Cost-beneficial controls are controls for which the benefits can be shown to outweigh the costs for a specific entity. Both costs and benefits can be classified as tangible or intangible, current or future, and probabilistic or deterministic. Furthermore, a firm is a coalition of interests to which the interests of the external authority are added in this study. This adds to the complication by making it necessary to interpret costs and benefits in relation to whom they affect in order to understand a particular decision. Tangible costs are easily identified and enumerated. An example of a clearly identified tangible cost is the cost of providing computer equipment. Typically, intangible costs and benefits are difficult to identify or evaluate. For example, the added strain on employees when a procedure is changed is an intangible cost. Current costs are costs to be incurred in the immediate future. For example, the payroll cost of an internal audit staff is a current cost. Future costs will be incurred far enough in the future for the time value of money to become important. An example of future costs is the payments on a lease. Probabilistic costs are costs which are uncertain either because the amount is uncertain or because the timing of the expenditure is uncertain. For example, the cost of business missed due to down-time on a computer is a probabilistic cost. Deterministic costs are certain in either amount or timing. Most costs and benefits are a mixture of future or current, tangible or intangible, and deterministic or probabilistic. It is relatively easy to assess costs that are current or future, tangible, and deterministic. Where the time value of money is known fairly accurately and inflation is under control, a comparison between cost and benefits can easily be made using present value techniques. However, when future costs become probabilistic it becomes difficult to even estimate the expected present value of future costs and benefits. When costs and benefits are also intangible as well as future and probabilistic, a comparison becomes more of an art form than a science. Auditors' Cost-Benefit Technicues Fisher [1978] recognized the ambiguity involved in trying to detail the cost of implementing an internal control: The cost of a control can be calculated in various ways: absolute total cost to implement a control; marginal or incremental cost; or the percentage of total or marginal cost allocated to each cause of an exposure reduced by a specific control. When two or more controls both contribute to reduce a cause of exposure, one needs to determine whether they are complementary, or actually increase assurance when used together, or are substitutable. [Fisher, 1978, p. 355] She argued that the benefit of a control can be calculated as the product of the exposure, a percentage of the particular cause that the control is designed to prevent, and the effectiveness of the control measured as a percentage [1978, p. 355]. Rittenberg and Miner [1979] have built a cost-benefit model of internal controls using the following parameters: control objectives, number of transactions processed during a period of time, loss associated with an error per transaction, probability of an error in an uncontrolled environment, reliability of controls in reducing either the probability of a loss or the probability of an error, cost of controls, and nature of controls. The last element in the list, the nature of controls, refers to whether the controls are sequential (roughly, the only control for an exposure) or parallel (roughly, a redundant or compensating control). There are strong similarities between the complement/substitute and sequential/parallel concepts. The authors measure exposure in two ways: (1) as the product of the loss, the number of transactions, and the probability of an error; and (2) as the product of the loss, number of transactions, probability of an error, and one minus the reliability of the control. They also illustrate how parallel controls can be combined to reduce exposure. The authors' measure of the benefit of a control is the difference in the two measures of exposure. They compare this measure of benefit with the cost to get the net benefit of the controlss. Cushing [1974] applied modeling concepts taken from the field of reliability engineering to the cost-benefit analysis of internal control procedures and systems. He developed a series of models of increasing complexity. Cushing's basic model revolved around a concept of reliability for internal control. Reliability was used as a measure of the probability that some accounting process, which was being controlled, would be completed without error. That was not to say that an error would not occur; rather, once completed, the process would be error-free. Process reliability is not the same as sampling reliability in auditing. Cushing computed reliability as the sum of the following probabilities: (1) the probability that the process is executed correctly and the control step does not signal an error; (2) the probability that the process is executed correctly, the control step signals an error, and the failure of the control is detected and no correction is made; and (3) the probability that an error in the process is made, but that the control step signals an error and the proper correction is made. [1974, p. 26] Cushing also illustrated a procedure to compute the probability of a failure to complete the process correctly. Based on these formulations, Cushing showed that the benefit of a control is the increase in the probability that the process will be correctly completed caused by the presence of the control procedure. Cushing used the following costs in computing the total cost of an independent control associated with a single potential error: (1) The cost of performing the control procedure each time the process is performed. (2) The average cost of searching for an error and detecting whether one exists once the control procedure has signalled that one exists, and then making whatever corrections are necessary. (3) The average cost of an uncorrected error. [1974, p. 27] The total cost, assuming the control step is performed, was computed as the sum of the expected costs of "(I) performance of the control step, (2) uncorrected errors, and (3) search, detection, and correction" [1974, p. 27]. The cost of nor performing a control step was defined as the probability of an error times the average cost of an error. Cushing argued that a cost-benefit analysis was performed when the total cost was compared to the cost of not performing the control step. The work reviewed above illustrates how cost-benefit analysis can be operationalized. But, it also illustrates how cost-benefit analysis becomes increasingly complex as concepts are further refined. All of the authors described rules for cost-benefit analysis. They specified ways of measuring the conditions under which the benefits of a control outweighed their costs. Fisher [1978] and Rittenberg and Miner [1979] also stipulated that being cost- beneficial was not enough to insure a controls acceptance. The company as a whole must be considered, which means allocating resources through overall capital budgeting. Fisher [1978, p. 352] has delineated some criteria for strategies to be adopted in response to the FCPA. She stated that corporate strategy "should be systematic, defensible, and well-documented." The strategy advocated is an appeal to consider overall corporate objectives and the interaction of controls, control objectives, and control causes. The strategy also called for ranking of controls, in a cost-benefit sense, along with other corporate projects. In other words, if all corporate projects whose benefits exceed their costs cannot be accepted, then internal controls should not be an exception. Costs and Benefits Accruing to Individuals and Groups Each measure of cost-benefit is contingent on a particular point of view. There are numerous points of view in the modern firm: they include management, owners, creditors, labor, governmental organizations, and external authorities. Management's point of view. Management has a complex problem in analyzing the cost and benefits of a decision. The complexity arises because management benefits from corporate success both directly in terms of measures of job performance, and indirectly in terms of profit-sharing and future mobility. Management's decision process is further complicated by differences in long-term and short- run notions of optimal policies. Owner's point of view. The owner's point of view is to maximize the present value of dividends and/or stock prices in the long run (and an indirect interest in minimizing payments to all other parties), constrained by the owner's need to maintain appropriate coalitions in the long run. Creditors' point of view. Rather than maximizing return on investment, creditors' interests lie in meeting a certain level of achievement while minimizing risk. Labor's point of view. The classical approach is to view labor and owners in a zero sum game with the profits of the firm as the objective. However, labor takes a short-run approach to the definition of the firm's profits (as is to be expected from individuals whose investment is a day's labor and who may work elsewhere if the firm cannot pay labor's wage). This short-run approach does not include growth or escalating replacement cost of plant and equipment. Others' point of view. Government and others have many diverse interests in the firm. Most, like labor's, are short-run. For example, governments are frequently accused of taking the expedient route of correcting social ills in the short run at the long-run expense of business. Auditors' point of view. External auditors have an interest that partially coincides with the mutual interests of owners, creditors, and managers, yet partially conflicts with that joint interest. The mutuality of interest comes in reducing the cost of the audit by having the client's internal audit staff do as much of the audit as possible (internal audit procedures and staff are assumed to cost the client less than external audit procedures and staff), and by having the client's system of internal controls be as effective as possible. The diversity in interest arises when (1) the cost of the marginally effective control is considered too great by the client but not so by the external auditor, or (2) the cost savings from the internal auditors' work is expected to be shared by the external audit firm and the client. Additional non-monetary interests are also of considerable importance. An example is management's expectation that the external auditor will find weaknesses when he reviews the internal control system and will report these in the management letter. The auditor, on the other hand, feels the need to meet management's expectations and attempts to enumerate weaknesses even if they are not significant. Study's point of view. Clearly, the issue of to whom the cost and benefits of a change in the system attach must be resolved before any predictions can be made concerning the directions that the internal audit group will take in response to criticism. For purposes of this study, the mutuality of interests among the management, owners, and creditors will be considered the firm's interest. In effect, the study adopts the owner's point of view, adapted so as to minimize conflicting interest with other interested parties. This is achieved by selecting and wording scenarios which are as unambiguous as possible. External Auditors' Reliance on Internal Auditors' Work The Round-Table reported that, based on the audit committee's final evaluation of internal control, internal audit group, and external auditors, the audit committees were seen as shifting auditing tasks between internal and external auditors. Internal controls determine the trade-offs between risks and costs, judgments that must be made by the audit committee, independent of the outside auditor. The review of internal controls could lead to changes in the scope and focus of audits. Then the determination must be made whether these modifications are to be assigned to inside or outside auditors. [Schiff, 1977, p. 26] Ward and Robertson [1980] surveyed internal and external auditors. The results indicated that all independent auditors relied on internal auditors to some extent, but only half of the respondents claimed that they relied on internal auditors as much as possible. This was despite the fact that it was suggested that the audit costs could be decreased or the rate of increase in audit costs could be slowed through cooperative audit performance between the internal and external auditors. Both independent and internal auditors agreed that the extent of the external auditors' reliance on the internal auditors' work should be increased. The independent auditors' reliance took the form of two major areas: the internal auditors' contribution to internal control and the internal auditors' "performance of substantive audit procedures under the supervision of and review by independent auditors" [Ward and Robertson, 1980, p. 64]. The extent of the efficiency of the cost-savings depends on (1) "Capabilities of the internal auditors", and (2) the reliance placed on their work by the independent auditors" [Ward and Robertson, 1980, p. 71]. Consistent with this evaluation of cost-savings, "two international accounting firms are actively promoting professional training programs for internal auditors" [Ward and Robertson, 1980, p. 71]. Therefore, it is clear that some professionals consider a shift from external to internal auditing as cost-beneficial from both the CPAs' and the clients' points-of-view. Clay and Haskin [1981] provide a familiar economic argument in favor of greater reliance by external auditors on the work of internal auditors: If procedures performed by an internal audit staff are duplicated during the year or at the year-end by the external auditors, the company incurs multiple costs for essentially the same information. [Clay and Haskin, 1981, p. 63] Clay and Haskin also surveyed 100 internal auditors (60% response rate) to gather information about the competence, objectivity, value, extent of external auditor reliance, and cost effectiveness of internal auditors. Clay and Haskin found no evidence to support the idea that internal auditors were cost-effective in reducing external auditing costs. This is contradictory to what Schiff [1977] reported. Therefore, it is uncertain whether or not benefits from reduced external auditing costs should be considered in evaluating a change in internal control. Auditors' Abilities to Make Internal Control Judgments Ashton [1974a] measured judgment stability (within subject consistency) and judgment consensus (between subject consistency) for 63 subjects in an experimental setting. The experiment consisted of asking the subjects to evaluate an internal control setting by rating the control on a six- point scale. Intra-subject consistency over time was found to be quite high. Subject consensus was measured by the correlation among subject responses for the same experimental internal control variable settings. Consensus was also found to be quite high. These results were confirmed by Ashton [1974b], Ashton and Brown [1980], and Ashton and Kramer [1980]. Joyce [1976] was not directly concerned with auditors making internal control judgments, but was concerned with auditors' abilities to make judgments. Furthermore, Joyce's study was a response to Ashton's study which used auditors' abilities to evaluate internal controls as a vehicle to study judgment abilities. The criterion used to measure judgment ability was consensus (agreement among judges) [p. 30]. The reasons given for the selection of consensus as a measure of judgment ability were (1) if experts are measuring the same thing, no matter what method is used, their results should approach each other; (2) if professional expertise exists among auditors, it should be exhibited by consensus [pp. 30-31]. These arguments can be considered from another point of view. Only if a right answer exists, can we expect expert judgments to converge on that answer. On the other hand, if a right answer exists only through convention or definition, then consensus only measures the similarity of training among experts. Joyce pointed out that the accounting establishment goes to pains to reduce differences among auditors [p. 31]. He reviewed a series of articles that indicated a low measure of consensus among auditors. The only exception appeared to be Ashton's 1974 study [pp. 31-4]. Joyce hypothesized that the "differences in the experimental tasks required of the subjects could account for the apparent discrepancy between Ashton's findings and those of the others" [p. 33]. Basically, this difference could be attributable to the fact that Ashton asked subjects to make narrower, more technical, judgments about the quality of internal control, while the others asked for judgments on broader areas (such as the amount of audit work that would be done under given conditions) [p. 33]. Like Ashton's subjects, Joyce's subjects had to evaluate internal controls. However, they had to make a more complex judgment. For this reason, Joyce expected less consensus among his subjects than was the case for Ashton's subjects. His results were as expected. In other words, the consensus among Joyce's subjects was consistent with the lower levels observed by researchers before Ashton. Lewis [1980, p. 594] worked from the presumption that consensus is a measure of the validity of professional judgment. Based on that presumption and utility theory, he concluded that "auditors would have to possess homogeneous utilities for the outcomes or consequences of their decisions" [1980, p. 594]. Like Joyce, Lewis pointed out some of the mechanisms that tend to create homogeneity among members of a profession, and more so among members of the same firm. He performed an experiment which was designed around the provisions of FASB Statement EN. 5, Accounting for Contingencies, to test whether judgments across firms would vary more than judgments within firms. Lewis reported evidence that provided mild support for the contention that there was less difference between firms than within firms [1980, pp. 598-9]. He also varied the materiality of the data the subjects were given. This allowed him to test whether consensus varied with materiality. He found that as materiality increased so did consensus [1980, p. 600]. It is the relationship between materiality and consensus that makes the Lewis article interesting. The direct relationship between consensus and materiality indicates that consensus is contingent on at least one event. Ashton found more consensus in simpler decision settings, while Joyce found less in a more complex setting. A major distinction between the judgment settings may be thought of as the additional contingencies encountered in the more complex setting. This section shows that the literature offers conflicting evidence on the degree of consensus that can be expected in an experimental setting similar to this study. The Differential Impact of Source Characteristics on the Internal Auditor's Decision The concept of source as a variable affecting the (auditor's) confidence in a received message is well established, even codified. Auditors classify evidence by source. They consider externally generated, third-party evidence the most reliable. At the same time, auditors are taught, from their first auditing class, that internally generated documents or communications should be confirmed. In other words, auditors are attuned to considering the source of a message separately from its content. In this particular experimental setting, the judges are performing auditing or auditing-like functions. Therefore, the subjects should be conscious of the source-content distinction. On the other hand, the subjects' awareness of the source-content distinction does not insure that a change in source will have an impact on their decisions. This is especially true since each judge was exposed to only one source. Hence, no intra-subject comparisons were possible. The purpose of this section is to determine if a systematic difference in response for the two sources, external auditors and systems analysts, should be expected in the current experiment. This is not to say that, if no difference in source is expected, that source itself will not be an important factor. Rather, source may still be important, but the source systems analysts had the same impact as did the source external auditors. There are two reasons to expect no difference in the responses. The first is the possibility that source could have an insignificant weight attached to it. The second is that other variables have the effect of negating the impact of source. The most important of these compensating variables is the relative confidence of the judge in his opinion compared with that of the source. Experimental psychologists classify those attributes of a communicator which influence the receiver's attitude about a message's content as source characteristics. There is (as yet) no generally accepted measurement scale for source characteristics, theoretical constructs adopted by researchers. Therefore, each researcher has selected his own system of measurement. So, while generalizations may be made within groups studied using a set of source characteristics, no comparisons can be made between studies using different source characteristics. In particular, difficulties arise when overlapping source characteristics are used in research. For example, the characteristic of source credibility has been decomposed into expertise and bias by some researchers [Birnbaum and Stegner, 1979], while others have decomposed source credibility into expertise and trustworthiness [Haas, 1981]. The concepts of bias and trustworthiness overlap but are not the same. Other problems arise because of research methodology. Jaccard says that persuasive messages in the experimental literature are composed of a set of belief statements (i.e. information) and hence are designed to change beliefs. When an investigator uses affect, behavioral intention, or behavior as the dependent measure, he or she is implicitly assuming that changes in these target beliefs will lead to changes in the dependent measure (an assumption that may be incorrect). [1981, p. 261] Haas [1981] provides a useful framework for examining source characteristics. Some of the details of his framework are useful to this discussion. For example, he describes two mechanisms by which a message could produce an attitude change. The first is called internalization. "Internalization occurs when an attitude is learned and adopted as the receiver's own by being integrated into that individual's belief and value system" [1981, p. 142]. Haas uses credibility as an example of a source characteristic that is thought to work through internalization. The second mechanism is called identification. Identification is a "desire to establish a gratifying role relationship with the source" [1981, p. 144]. Haas's example of a source characteristic that works through identification is attractiveness. In general Haas's framework has three major source characteristics: credibility, attractiveness, and power. Source credibility is "the extent to which the source is perceived to know the 'correct' position on the issue and the extent to which he or she is motivated to communicate that position" [1981, p. 142]. Source attractiveness depends on the source being someone liked or admired. It is thought that association or emulation of someone liked or admired will improve the self-image or self-esteem of a communication-receiver. Therefore, a receiver might adopt the same attitude as a source he admires; or he might hold an attitude that supplements the attitude of the source, when the source and receiver have complementary roles (teacher-student) [1981, p. 144]. Source attractiveness may be more influential than source credibility because source credibility could depend on the soundness of the communication, while attractiveness is independent of the logical content of the message [1981, p. 144-45]. Source credibility and attractiveness may seem independent at first, but closer examination reveals an overlap. A source may be attractive because he is credible. When an authority speaks of a subject on which he is not an authority, the tendency is to treat him as attractive because of his credibility on other subjects. Therefore, credibility and attractiveness may interact or overlap. The third characteristic in the framework is power of the source. If the source has the ability to exercise power over the receiver, the recipient may comply with the source's communication [Haas, 1981, pp. 149-51]. In the current study, the source is either an external auditor or a systems analyst. Both have sufficient expertise to be considered credible sources, if they are perceived to have the proper motivation (trustworthy or unbiased). Nothing definitive can be said about the attractiveness of external auditors (or systems analysts) to internal auditors. An equal number of arguments can be put forth considering whether internal auditors would find external auditors attractive. The best of these arguments, identification through similarity, can be argued in either direction. There is a clear distinction between the power relationship for internal-external auditors and internal auditors and systems analysts. The external auditor has a professional obligation to exercise a certain amount of power over the internal auditor. That power is derived from the terms of engagement combined with the fact that the auditor will issue an opinion. The systems analyst offers a report, but it is for internal use only. Even after the systems analyst is engaged, his power is strictly limited to internal use. Thus, it would appear that the two sources, systems analyst and external auditor, should be different on the power dimension. However, because it was felt that such use of power would obscure the other factors being examined, the external auditors' recommendations were carefully designed to avoid the naked use of power. Therefore, it is unclear if any distinction can be made between the power of the analyst and the external auditor along the power dimension. Even if one of the source characteristics were capable of being well-measured in the experiment, another problem would make testing difficult. Jaccard found that "whenever people are more confident in themselves than the source, relatively little belief change results" [1981, p. 266]. This has significant implications for relations among "experts." By definition, an expert should be confident in his own conclusions. Therefore, it is reasonable to assume that there should be no difference between sources when the recipient is an expert, as is the case in the current experiment. Professional judgment is assumed to be strongly dependent on the circumstances of the decision. The model will represent professional judgment as various types of changes being recommended. Figure 2-1 illustrates the decision process. However, the experimenter and the subject may not agree on the classification of the type of change being recommended. Therefore, provisions have been made in the design of the experiment to measure not only the effects of the intended manipulations of the independent variables, but also the effects of manipulations with respect to the subjects' perceptions. Source Tone of of Criticism Criticit Decisic Type of sm Criticism J Figure 2-1. General Model of Factors Influencing Internal Auditors' Responses to External Criticism of the System of Internal Controls This section suggests that the impact of the two sources, systems analysts and external auditors, will not be different. However, this is not to be construed to mean that source will not be a meaningful factor influencing decision. CHAPTER III RESEARCH METHODS The purpose of this chapter is to describe the general model of corporate behavior used as a basis for this experiment, the experimental design and task, the subjects, the hypotheses, the pilot testing procedures, and the final design. Model of Corporate Behavior It was indicated in the literature review that the current trend in the organization of the corporate internal control hierarchy is directed toward the use of largely independent audit committees. It was also suggested that internal control departments must frequently review suggestions for changes in the system of internal controls. In this study, the internal auditor is used as a surrogate for the corporate audit committee. As a result, the corporate model of behavior becomes a model of the internal auditor's behavior. Because this study focuses on the response to externally generated suggestions for changes in the system of internal control, the proposed model of the internal auditor's behavior consists of the expected modes of response to that particular stimulus. The influence of an external authority is assumed to affect the internal auditor's opinions as well as his own evaluation of the merits of the suggested change. Since no direct measures of the degree of an external authority's influence are available, the source and tone of the external authority's criticism have been adopted as surrogates. The source and tone of a message may only serve to direct attention to a problem, which will then be considered on its own merits. On the other hand, internal auditors may be more influenced by the prestige and power of external authorities. Internal auditors may respond to the influence exerted on them by external authorities in many different ways. Furthermore, the nature of their responses should be heavily influenced by their own professional judgment. In the model proposed, professional judgment is assumed to be a function of the complexity of the choice before the internal auditor. The more complex the choices available to the internal auditor, the more he will rely on his professional judgment. However, the more ambiguous the decision, the more he will rely on other factors such as the source and tone of the criticism, to make his decision. This argument is formalized in the first hypothesis, which is presented below. All hypotheses are restated in the chapter summary. HI: The more ambiguous the decision, the greater the subject's reliance on the source and tone of the message. Experimental Design The experimental design is described in terms of scenarios, independent variables, dependent variables, other responses, and assignment of variable combinations to subjects. There were forty-eight scenarios, four independent variables, eight dependent variables and ten other responses. Scenarios The experimental instrument consisted of a package containing (1) two pages of instructions (see Appendix A), (2) eight to ten pages containing four scenarios (see Appendix B), and (3) two pages of additional questions (see Appendix C). The instructions contained a brief description of (1) the assumptions the subject was to make, (2) the subject's task, (3) the confidential nature of his response, (4) the absence of any time limit imposed on the task, and (5) a corporate structure. Each subject was to respond to four scenarios, each of which was based on the same corporate structure; the corporate structure was described as being common to four companies: Alpha, Beta, Gamma, and Delta. The four companies represented the four scenarios included in that subject's package. There was a brief description of the corporate structure of the company for which the subject was assumed to work and for which the external source (external auditor or systems analyst) had suggested a change in internal controls in the scenario. Each scenario described a different internal control procedure which was associated with a particular type of control (see the independent variable "type of control"). After the initial description subjects were asked to rate the strength of the internal control procedure and to rate the overall importance of an internal control procedure of the type described (see the descriptions of the dependent variables). The scenario then described the recommendation that was being made (see the independent variable "type of change") and the tone of the recommendation (see the independent variable "tone"). Next, the task required five more responses, numbers 3 through 7: (3) assuming the change is implemented, rate the strength of the internal control procedure; (4) classify the type of change; (5) allocate 100 points to the reasons for the subject's decision concerning the internal control change; (6) rate the impact of the change on the overall system of internal control; and (7) recommend a course of action to the audit committee. For a more complete discussion of each of the responses, see the section describing dependent variables. The detailed scenarios are included in Appendix B. The forty-eight (3 x 4 x 2 x 2) scenarios consisted of the combinations of the various levels of the following independent variables: type of control (3 levels), type of recommended change (4 levels), source (2 levels), and tone (2 levels). Independent Variables There are four independent variables: (1) type of control, (2) type of change, (3) source of criticism, and (4) tone of criticism. Tyve of controls. Three types of internal control areas were selected from a comprehensive survey of EDP- related internal controls performed by the Stanford Research Institute. Of the six control areas discussed, three were selected: transaction origination, (T); data processing transaction entry, (E); and computer processing, (P) [Russell, Eason, and Fitzgerald, 1977]. However, due to the nature of the scenarios, which had to be written around a particular control, the three types of controls were not varied systematically with respect to the other independent variables. In other words, while it was possible to combine an E-type of control with each of the other independent variables, it was not possible to combine the same E-type of control with each of the other independent variables. As a result the type of control variable was confounded with the scenario in which it was described. While this prevents the study from determining anything about the three types of controls individually, it does provide a convenient way to characterize the combination of control type and scenario. Tyve of change. Four types of changes were varied systematically across the other independent variables. Controls were classified by the researcher as complements or substitutes. Complement controls were designed into an internal control setting such that, if they were added or deleted, they would have a significant impact on the reliability of the system. Substitute controls were designed such that their presence or absence would not have a significant impact on the reliability of the system. The definition of substitute and complement led to the organization of the controls in a two-by-two table, shown in Figure 3-1. Control Control Added Deleted Complement cell a cell b II I Substitute cell c cell d Figure 3-1. Possible Combinations of Adding and Deleting a Substitute or Complement Control Cell c (addition of a substitute) was eliminated from consideration because, by definition, it would have the same impact as cell d (deletion of a substitute). By contrast, cell a (addition of a complement) would enhance the reliability of the system, while cell b (deletion of a complement) would have a worsening effect. The latter three types of changes were arbitrarily labeled: type-1 (cell a, add a complement), type-2 (cell b, delete a complement), and type-3 (cell d, delete a substitute). A fourth type of change, type-4, was included as a measure of consistency within subjects. Type-4, the replacement of a substitute with a complement, should have the same impact as adding a complement (type-1) because the deletion of a substitute should have only a small effect on internal control reliability while adding a complement is an enhancement. A review of the types of changes and their expected impact on the reliability of internal control is presented in Table 3- 1. Table 3-1. Expected Effects of Change Types on Internal Control Reliability Expected Impact on Change Internal Control ZTye Description Reliability Type-1 add a complement increase Type-2 delete a complement decrease Type-3 delete a substitute none Type-4 replace a substitute with increase a complement The researcher's classification of controls as substitutes or complements was subjected to testing in pilot test situations. Substantial revisions of the scenarios were made as a result of these pilot tests. The details are reported in Appendix E: Pre-testing. Each subject was asked to respond four times, once for each type of change. Subjects were randomly assigned to various combinations of types of controls and types of change as well as to combinations of the other independent variables. The details of this assignment will be presented following the description of the independent variables. Source. The main concern of the experiment was to measure the internal auditors' responses to criticism from external auditors. However, in order to provide a standard against which to compare responses, half of the subjects were presented with recommendations from systems analysts instead of external auditors. The distinction between the sources of the recommendations was made in the instructions attached to the experimental instrument (see Appendix A: Instructions For Subjects). The subjects received one of two sets of instructions, which included a request that the subjects make some assumptions. The external auditor type of instruction read 3. The company's external auditors have recently submitted a management letter at the completion of their audit. 4. The management letter includes a recommended change in the internal control system, which has been included under the heading of "EXTERNAL AUDITOR'S RECOMMENDATION." The systems analyst type of instruction read 3. The organizational design requires that you report directly to the board of directors' audit committee. 4. Each year the controller, who reports to the company president, employs an outside systems analyst to review the system of internal controls. The most recent analyst's report includes a recommended change in the internal control system, which has been included under the heading of "SYSTEMS ANALYST'S RECOMMENDATION." The only other differences between the two versions of the experimental instruments were the differences in the headings. The two versions are included in Appendix B: Scenarios. A review of the literature in Chapter II indicated that no difference should be expected between the amount of reliance the subjects place on the source of the criticism for either external auditors or systems analysts. This expectation is the basis for hypothesis two, which would be desirable to support. H2: There is no difference between the amount of reliance subjects place on the source (either external auditors or systems analysts) of the criticism. Tone. The experiment was also concerned with the effect of the tone of the external authority's recommendation on the internal auditor's response. Therefore, two levels of tone, or strength of recommendation, were used. The measure of tone used was made relative to prior years' recommendations. For each type of change, subjects were told: Note: The external auditor views this change as relatively less critical than changes recommended in prior years. In total there were four levels of source and tone combinations as illustrated in Figure 3-2. Tone Levels Less More Critical Critical External Auditor source I I I Levels Systems Analyst Figure 3-2. Four Combinations of Source and Tone. Each subject was assigned four scenarios, all of which were either systems analyst scenarios or external auditor scenarios. In either case, a subject was assigned two "less" critical and two "more" critical scenarios. The four scenarios assigned to a subject were each a different type of change, and all three different types of controls were represented in each subject's package of four scenarios. Assignment of subjects to treatments. In order to assign a reasonably small number of treatments to each subject and still be reasonably certain that the response rate would be fairly even among all cells, particular combinations of independent variables were devised. All together there were 48 combinations of the four independent variables: type of control x type of change x source x tone = 3 x 4 x 2 x 2 = 48. It was decided that each subject could respond to four scenarios within a reasonable time (as was shown in the pilot tests). The following additional constraints were also placed on the assignment of scenarios into four scenario packages: (1) each package must contain one each of the four types of changes; (2) each package must contain each of the three types of controls; (3) each package must contain both levels of tone; and (4) the order of the scenarios in each package must not be the same as to type of change, type of control, or tone. As a result, scenarios were combined in the six packages described in Table 3-2. There were twelve different packages in all, six for external auditors and six for systems analysts. Table 3-2. Packages of Scenarios. Package Type of Type of Number Control Change 1 T 1 Tone s w w S w s w w w s s s w s w w w s s w S w Key to symbols used in table: Type of Control T Transaction Origination E Transaction Entry P EDP Processing Type of Change 1 Add a Complemenet 2 Delete a Complement 3 Delete a Substitute 4 Replace a Substitute with a Complement Tone s More Critical Than Last Year (Strong) w Less Critical Than Last Year (Weak) Dependent Variables Each subject was asked to make seven responses for each of the four scenarios under his consideration. Those responses are seven of the eight dependent variables: (1) internal control strength-before, (2) procedure importance, (3) internal control strength-after, (4) classification of change, (5) allocation of points, (6) impact of change, and (7) recommendation. The eighth dependent variable, difference, is the signed change in the after minus before ratings of internal control strength [(3) (1)]. Internal control strength-before. Subjects were asked to rate the strength of the internal control procedure described in the scenario immediately after the procedure was described and before the external authority's change was presented. Their responses were recorded on a nine-point scale which ranged from very weak (-4) through adequate (0) to very strong (+4). Procedure importance. The second question asked the subject to rate the importance of having an adequate internal control procedure designed to protect the area under consideration. The subject was to respond without reference to the particular internal control procedure mentioned in the scenario. Therefore, this question was designed to measure the importance of the weakness indicated, not the importance of a particular solution. In this way, it was possible to have a response in which a subject stated that a control increased the strength of the particular internal control procedure, combined with a response that the overall internal control did not improve very much. The subjects responded on a five-point scale which ranged from not very important (0) to very important (+4). Internal control strength-after. Subjects were asked to rate the strength of the internal control procedure described in the scenario immediately after the external authority's change and tone were presented. Their responses were recorded on a nine-point scale which was identical to the scale used in the internal control rating before the change. Difference. To measure the impact of the changes presented, the difference in the before and after internal control ratings (after before) were computed. Also, the difference was used to reclassify the responses in accordance with subjects' perceptions (rather than the author's) into three categories: (1) increased internal control, (2) decreased internal control, and (3) unchanged internal control. Table 3-3 indicates the relationship among the subjects' perceived changes and the intended (author's) manipulations of type of change. Table 3-3. Relationship Between Expected Subject Perception and Corresponding Manipulation of Internal Control Change Difference Corresponding Type of in Internal Type of Internal Change Control Ratins Control Change Number increase add a complement, or 1 or 4 replace a substitute with a complement decrease delete a complement 2 none delete a substitute 3 Classification of Change. Subjects were asked to classify the changes recommended to them by an external source. Rather than explain the concepts of substitute and complement in the directions, subjects were asked to classify changes as desirable or undesirable. The cover sheet instructions included the following note: Each change involves one or two controls. Controls can be loosely classified into two groups: (a) desirable controls- those controls that correct a weakness in the internal control procedure, and (b) undesirable controls- those controls that fail to correct a weakness in the internal control procedure, including redundant controls. You will be asked to classify each change as one of the following: a. addition of a desirable control b. addition of an undesirable control c. deletion of a desirable control d. deletion of an undesirable control e. a simultaneous deletion of an undesirable control and the addition of an undesirable control f. a simultaneous deletion of an undesirable control and the addition of a desirable control This subject response provided an opportunity to verify the subject's internal control rating with his perception of the type of change recommended. Even if the subject classified the change incorrectly, there are a set of expectations for the dependent variable "difference." These expectations are detailed in Table 3-4. This concept suggests the third hypothesis: the change in the internal control ratings will be a function of the subject's classification of the type of change, as is specified in Table 3-4. Table 3-4. Possible Subject Perceptions and the Corresponding Values of Difference Subject Corresponding Corresponding Rating Response Type At Change Difference a 1 increase b none none c 2 decrease d 3 none e none none f 4 increase Allocation of points. Each subject was asked to allocate one hundred points to the factors which would influence his recommendation-to-the-audit-committee decision. The subjects were given four categories for allocating their points. Three of the categories were pre- specified: (1) source of the recommendation, (2) tone of the recommendation, and (3) the subject's assessment of the economic cost-benefit impact of the change on the company. The fourth option was to assign points to "other" factors. Subjects were reminded that the points allocated must sum to 100. Impact of change. Subjects were asked to rate the effect that the proposed change would have on the quality of the overall system of internal controls. They were given a nine-point scale ranging from greatly reduce internal control (-4), through internal control unaffected (0), to greatly improve internal control (+4). It was thought that this response would capture the combination of the importance of the change to the particular internal control procedure and the importance of the internal control procedure itself. Recommendation. Subjects were asked to rate the strength of their suggestions to the audit committee about the proposed change on a nine-point scale ranging from strongly recommend rejection (-4) to strongly recommend acceptance (+4). Other Responses Each subject was asked to provide additional data about himself after the task (completing responses to four scenarios). In all, there were ten "other" questions. The first three were intended to measure the subject's involvement in his task. The next six "other" questions asked for demographic data about the subject. The last question related to the experimental task. The ten questions are described in Appendix D. The Role of the Independent and Dependent Variables in the Overall Decision Model The general decision model presented earlier as Figure 2-1 was implemented in the experimental design as a function of independent and dependent variables. The outside authority's influence on the decision process, which was implemented as the source and the tone of outside criticism, is represented by using the independent variable to obtain the independent variables source and tone. The type of criticism is represented as the independent variable type of change. The decision process is represented by two dependent variables, the importance of the internal control procedure and the internal auditor's recommendation to the audit committee. The model assumes that the internal auditor's decision is a function of the importance of the internal control procedure. The assumed decision process is illustrated in Figure 3-3. Intermediate Theoretical Independent Dependent Dependent Variable Variable Variable Variable Source of Source Criticism Tone Importance of of Tone Internal Decision Criticism Control Procedure Type Type of of I Criticism Change Figure 3-3. Decision Model of Factors Influencing Internal Auditor's Response to External Criticism of the System of Internal Control The effectiveness of the decision model presented in Figure 3-3 depends on the concurrence of the experimental design and the subjects' perceptions of the design. In other words, the investigator may have intended a scenario to signal that the addition of a complement is strongly suggested by an external auditor. However, the subject may have perceived a signal that was the addition of a substitute, weakly suggested by an external auditor. This problem may be addressed in two ways. First, it could be assumed that there were no systematic differences between intended manipulations and perceived manipulations so that any errors would be averaged out by randomness. Second, the model could be redefined, based on the subjects' revealed perceptions. The second approach was adopted so that the two alternate models (intended manipulation versus perceived manipulation) could be compared. The comparison of the models would indicate the existence of a systematic bias. Furthermore, because interest is focused on the internal auditors' reactions, rather than the ability to manipulate independent variables, the internal auditors' perceptions of the independent variable manipulations should be a preferred measure. Also, using both models simultaneously provides a measure of achieved success in the intended manipulations of the variables. The revised decision model, which depends on the subjects' perceptions, requires the substitution of intermediate dependent variables for independent variables. The independent variables to be replaced are source, tone, and type of change. The subjects' perceptions of source and tone were taken from the dependent variable which asked the subjects to assign 100 points to the factors that influenced their decisions. The subjects' responses for strength of source were substituted for the independent variable source. However, because the source response and the tone response were not independent, the measure of tone could not be used without removing the systematic effect of source. This problem was overcome by regressing tone on source and using the residuals as a measure of tone. The model used was Tone = a + b x Source + e. The residual term, , was used as a measure of tone. The last independent variable to be replaced by the subjects' perceptions was type of change. The subjects' perceptions were measured by directly asking them to classify each of the scenarios they worked. These responses were used in the perception model in place of the type of change. This procedure provides a built-in measure of the subjects' involvement in and understanding of their tasks by comparing subjects' classifications of each scenario with the dependent variable "difference." A positive value for "difference" is expected to result from types of change one and four. On the other hand, a type-2 (type-3) change should result in a zero (negative) value for "difference." This was used as one test of the third hypothesis. The substitution of subjects' perceptions for intended manipulations results in a revised model, which is illustrated in Figure 3-4. Theoretical Variable Source Perceived Variable Measured Intermediate Dependent Variable Dependent Variable or ----4 Importance Criticism of Source - Decision Tone Measured Importance of of __ Importance Internal Criticism of Tone Control Residuals Procedure Type Classification of --- of Type of I Criticism Change Figure 3-4. Decision Model of Perceived Factors Influencing Internal Auditors' Responses to External Criticism of the System of Internal Controls Subjects The final field experiment work was completed using internal auditors1 and controllers from a variety of sources in two types of settings. In the first setting the experiment was administered at a monthly meeting of the Orlando, Florida, NAA chapter. Chapter officers asked members to participate in the experiment. However, the conditions under which the experiment was administered were 1A variety of subjects was used in both the pilot and field testing phases of the experiment. Subjects used in early pilot tests were University of Florida undergraduate auditing and accounting Ph.D. students. The pilot was extended to the field by using a small sample of internal auditors who worked for an independent software production firm and a controller. The results led to several revisions of the experimental instrument. not conducive to promoting subjects' concentration. Fourteen responses were completed at the meeting and another five were returned by mail. The experimenter felt that this approach to gathering data was unsuitable. Therefore, the rest of the data was gathered using a different approach. Having obtained no statistically significant difference in responses for this first group of subjects and other subjects, all were treated as a single group (Statistical tests are presented in Chapter V). The second approach involved contacting individual presidents of NAA chapters, asking them to assist in distributing experimental packages to qualified subjects at their monthly meetings. The subjects were provided with an experimental instrument in a self-addressed stamped envelope. Each envelope had an index card attached to the outside, reminding readers that respondents should be either internal auditors or controllers. No provision was made to detect which responses came from which chapter, so only an overall response rate can be computed. In addition to NAA chapters, a few qualified individuals participated along with an IIA chapter and an EDP Auditors Association chapter. Table 3-5 provides details of the response rate. Of the 126 responses received before an arbitrary cut-off date, one was deemed useless due to its incomplete nature. Some of the other 125 responses were only partially completed. If a subject failed to complete the "other" questions, his 63 responses were used nevertheless. However, if a subject failed to complete a dependent-variable answer, that particular scenario was not used. There were 5 instances of partial responses to dependent-variable questions. Therefore, there were 495 completed scenarios (125 subjects x 4 scenarios per subject = 500, less 5 incomplete scenarios). Ornaniza NAA Publix NAA NAA NAA EDP Audi and IIA Fl. Stat Universi NAA Eckerd C NAA Table 3-5. Subject Pool and Response Rate Number of tion Cif Instruments Accepted Orlando, Fl. 19 (only non-mail group) Lakeland, Fl. 6 Houston, Tx. 50 Atlanta, Ga. 50 Wilminuton. De. 100 tors te *ty orp. Jacksonville, Fl. Tallahassee, Fl Miami, Fl. Clearwater, Fl. Baton Rouge, La. 80 6 20 8 35 Total instruments distributed 374 less Orlando-NAA 19 Total instruments distributed by mail 355 Total number of responses 126 less Orlando-NAA 19 Total mail responses 187 Response Rate (107/355) 30% The method used to select subjects was not random, and the selection biases are unknown. Selection biases may be attributable to differences among all internal auditors and those who are members of the pool of possible subjects that were selected. There may be differences among organizations which agreed to participate and organizations which did not participate. Within a participating group there could be differences between those who were qualified to participate and those who chose to participate. Even though a similar appeal was made to the leadership of each participating organization, there may have been differences in the leaderships' approaches to subjects themselves. It is impossible to test for most of these differences. However, it is hoped that geographic diversification and the reasonably large sample size will mitigate any effects of self-selection biases. Chapter Summary A description of the experimental instrument and the dependent and independent variables was detailed. This chapter also developed a simple description of corporate behavior within a very limited scope. The dependent and independent variables were related to the description, and the groundwork was laid for a statistical analysis, to be presented in the next chapter. The research design to be used in the experiment was presented along with a description of the subjects and the protesting of the experimental instrument. Finally, three hypotheses, which 66 are repeated below, were included in the discussion. The results of the hypotheses are presented in Chapter V. HI: The more ambiguous the decision, the greater the subject's reliance on the source and tone of the message. H2: There is no difference between the amount of reliance subjects place on the source (either external auditors or systems analysts) of the criticism. H3: The change in the internal control ratings will be a function of the subject's classification of the type of change, as is specified in Table 3-4. CHAPTER IV CAUSAL MODELS AND PATH ANALYSIS Since several variables are measured in this study and several relationships are simultaneously hypothesized, it is necessary to examine the nature of causality in the proposed model of behavior in order to strengthen the inferences that may be drawn from the results of the experiment. The analysis of causality also prompts the appropriate statistical procedures that are necessary for testing (path analysis, etc.). Correlation among variables may be the result of cause and effect. In general, it is agreed that, in order to show causal relationship, three conditions must be satisfied: (1) the variables must be correlated; (2) the cause must precede the effect in time; and (3) alternative hypotheses must be eliminated [Abdel-khalik and Ajinkya, 1979, p. 26 and Asher, 1976, p. 11]. Therefore, to show that the model proposed in this study is a valid contender against other models, the sequence in which the variables occur and alternative hypotheses must be considered. For discussion purposes, the proposed model (Figure 3- 5) can be reduced to four variables by combining source and tone (because these two variables are neither considered to be independent, nor are they measured independently). For convenience, the four variables are abbreviated as shown in Table 4-1. Table 4-1. Abbreviated Form of Lona Form Measured Importance of Source and Measured Importance of Tone (Residuals) Classification of Type of Change Importance of Internal Control Procedure Decision Variable Names Abbreviated Frm st c i d It is convenient to represent causal relationships using an arrow diagram, as used in Asher [1976, p.13], who defines three types of variables: exogenous, endogenous, and residual. In the current model, and st are exogenous variables (see Figure 4-1). Endogenous variables are affected by other variables; in the model, i and d are endogenous variables. Residuals are those factors, not actually measured, that impinge upon the endogenous variables. As a result of combining source and tone into the single variable st, the model may now be presented as a four-variable causal model. The abbreviated model is presented in Figure 4-1 with the four variables arranged in a causal network. st c R, -> d < i <-- R Structural Equations i = Picc + piuRu d = Pd stst + Pdcc + Pdii + Pdvv Figure 4-1. Four-Variable Causal Model Spurious effects can be illustrated using three of the variables in the model adopted in this study: c, i, and d. In the model c affects d in two ways. There is a direct effect byc ond and perhaps an intermediate effect through i. This relationship is modeled in Figure 4-2. /ic d <--- i Figure 4-2. Model of the Relationship Between Change, Importance, and Decision The role of the middle variable, 1, in the model can never be known with certainty as a result of statistical tests. As Simon pointed out: We begin with a set of observations of a pair of variables, x and y. We compute the coefficient of correlation, rx between the variables, and whenever this coefficient is significantly different from zero we wish to know what can be concluded from the causal relation between the two variables. If we are suspicious that the observed correlation may be derived from 'spurious' causes, we introduce a third variable, z, that, we conjecture, may account for this observed correlation. We next compute the partial correlation, rx between x and y with z 'held constant,' and compare this with the zero order correlation, rx If rx is close to zero, while rM is no we conifude that either: (a) z is an intervening variable; or (b) the correlation between x and y results from the joint cause of z on both those variables, and hence the correlation is spurious. [1954, p. 468] In other words, if the variable i is added to a model to explain the covariation between and d, one cannot use statistical methods to distinguish between c -> i -> d and c <- i -> d. However, the knowledge of the sequence of the events and common logic should indicate that the perceived importance of an internal control procedure did not cause an external auditor to propose a particular type of change (especially deletion of a complement or addition of a substitute). Therefore, it can be safely concluded that . affects d indirectly through i, c -> i -> d, provided that rcd.i = B. Blalock applied Simon's work to all possible four- variable models [1962]. For each of the non-trivial four- variable models, Blalock offered a test of fit. Basically the test indicates which specific correlations among the four variables needs to be zero in order not to be able to reject a particular model as appropriate. He did not provide a test of which model fit "best." However, Blalock's procedure, which allows us to reject a model, provided considerable insight into the modeling process. Figure 4-1 is similar to Blalock's model Al which is reproduced below in Figure 4-3. X4 < X3 Figure 4-3. Blalock's Model Al It is convenient to show that Blalock's model Al and the model proposed in this study are analytically identical so that Blalock's analysis can be adapted to the study's model. Blalock restricted his models to the simplest case, recursive models. To be recursive, the first variable in the chain, X1, depends only on variables outside the model. Variable X2, the second variable, can depend only on X1. This causal dependence is written: X1 -> X2. In an analogous fashion, X3 can depend only on X1 or X2, and X4 depends on some combination of XI, X2, and X3. Of course, how X1, X2, and X3 relate to X4 is unknown; but if the variables are modeled in a particular fashion, that model can be eliminated because each model predicts certain vanishing correlations. Therefore, Blalock's technique provided a practical method to support a hypothesis indirectly by specifying which other hypotheses could be rejected. The method does not insure the rejection of all incorrectly specified hypotheses. If the absence of a link is hypothesized, a false hypothesis can be rejected based on the presence of a non-vanishing correlation. To apply Blalock's technique, the model's variables must be recursive (the model must proceed in time, and it can have no feedback loops). To affect causality, the experiment was conducted such that the subjects were exposed to the independent variables corresponding to change (c) and source-tone (at) before they were asked to respond to the questions that were used as the variables i and d. Also, the i question always preceded the d question. Therefore, the timing of the variables, with the exception of the first two, followed the sequence: X1 , c, X2 a st, X3 e i, and X4 5 d. It will be shown that the ambiguity of precedence between c and st is unimportant. However, cognitive dissonance theory might suggest that after the decision, earlier perceptions could be altered, forming a feedback loop. On the other hand, subjects were asked the questions in a particular order. If feedback occurred, it would occur in another scenario. Therefore, the absence of a feedback loop will be assumed. It can easily be shown in what follows that the time ordering between and &t is unimportant to the model. Notice that in Figure 4-3, X1 and X2 have no connecting arrow. Other than the arrow between X1 and X4, Figure 4-3 is symmetrical. If we reverse the order of c and t so that at corresponds to X1, then the model would be unchanged as long as the original X2 was still linked to X4. Blalock specified that the model can be rejected if r12 \ B (link between X1 and X2) or if r23 \ 0 (link between X2 and X3). These relationships are stated as null hypothesis 4. 84: r12 0 and r23 0. Path estimates in a recursive model are found using regression. "To obtain estimates of the main path coefficients, one simply regresses each endogenous variable on those variables that directly impinge upon it" [Asher, 1976, p. 29]. Residual paths are also easily found from a regression. "Since standardized variables have a variance of one, the general expression 1-R2 is simply the proportion of unexplained variance. Therefore, the residual path coefficient is simply the square root of the unexplained variation in the dependent variable in question' [Asher, 1976, p. 31]. A series of assumptions are necessary in order to perform path analysis. These are based on the regression analysis assumptions. The regression assumptions about the error term are (1) its mean is zero; (2) it has a constant variance for different values of Xi (homoscedasticity); (3) pairs of error terms are uncorrelatedl and (4) the independent variables and error terms in the same equation are uncorrelated. [Asher, 1976, p. 25] For regression, it is also necessary to assume a normally distributed error term with the models being linear in the bi 's [Asher, 1976, p. 25]. In addition to the regression assumptions, Blalock's technique requires that the model be recursive, and the independent variables are assumed to be measured without error [Asher, 1976, p. 27]. The last assumption might give concern if the path analysis were used to examine non- experimental data. However, in this experiment, the independent variables were controlled. In this study, estimation of the following paths is of interest (refer to Figure 4-1): (1) pd st(2) Pic; (3) Pdcl (4) Pdi' (5) PiRu1 (6) PdRv' and (7) Pc st. The method of estimation and regression formulas used to find these pij 's is given in Table 4-2. Table 4-2. Formulas Used to Generate Path Coefficients Used in the Model 1 j Rearession Model d st Model 1 i c Model 2 d c Model 1 d i Model 1 i Ru (1-R2)"5 where R2 comes from the regression using Ru d RV (I-R2 )5 where R2 comes from the regression using Rv c st rc st Regression Models Model 1: d = Pd st st + Pdc c + Pdi i + PdRv Rv Model 2: i = pic c + iRu Ru The decomposition of correlation between two variables depends on the technique used to estimate the path coefficients, pij 's. The pij 's may be estimated by: (1) solving simultaneous equations (see Simon), (2) multiplying by structural variables and then solving (see Blalock), or (3) by using regression coefficients. In any event it is mathematically convenient to standardize the data before computing the pij 's. If regression coefficients are used to estimate the pij 's, the regression coefficients themselves may be standardized. In this study, standardized data was used in Ordinary Least Squares Regression to estimate the pij 's. The correlation coefficients and partial correlation coefficients used to estimate the pij 's were not standardized. "If the model were specified correctly", (see hypothesis 4) "then (except for measurement and sampling errors) the empirical correlation between any two variables should be numerically equal to the sum of the simple and compound paths linking the two variables" [Asher, 1976, p. 34]. A compound path is equal to the product of the simple paths comprising it. Therefore, to decompose the correlations in a model, it is necessary to identify each path between variables according to the following rules: (a) no path may pass through the same variable more than once; (b) no path may go backward on an arrow after the path has gone forward on a different arrow; (c) no path may pass through a double-headed curved arrow more than once in a single path. [Asher, 1976, p. 33] Once the paths have been identified, the correlations can be decomposed into three categories: (1) direct effects, (2) indirect effects, (3) and non-causal effects. The direct effects are the direct paths between the two variables. The indirect effects are the compound paths which are followed without going through a double-headed curved arrow or going backward on an arrow. All paths other than direct or indirect are non-causal. The correlations and their connecting paths used in the four-variable model are given in Table 4-3. Table 4-3. Correlation Pairs and Connecting Paths for the Four-Variable Model Variables Causal Paths First Second Direct Indirect Non-Causal Pat c st rc st none none c i Pci none none d c Pdc Pic Pdc Pc st Pd st d st Da none p. PA, d i Pdi i st none none none +Pc st Pic Pdi Pic Pdc +Pic Pc st Pd st Pic Pc st The model proposed in this study is a five-variable model rather than the simplified four-variable model used to illustrate causal analysis. Blalock's four-variable model is an extension of Simon's and others' three-variable models. The ability to generalize the principles of earlier work to an n-variable model is specified in Simon [1971, p. 5]. The study's five-variable model is derived by separating the variables st into two variables, a and 1. The five-variable model is presented in Figure 4-4. tU S1 hs S t k_ c Rv -> d <-- i <- Ru Structural Euuations i = Picc + PiuRu d pdss + Pdtt + PdcC + Pdii + PdvRv Figure 4-4. Five-Variable Model Hypothesis 4 should now be restated to fit the five- variable model. A five-variable model could have as many as (5) = 10 links. However, only eight links are included in the model. The two missing links are (1) pti and (2) psi* In addition, the double-headed curved arrows indicate that the three links among the independent variables, Pst, Psc, and Ptc, are to be considered exogenous to the model. Therefore, the Blalock technique would indicate two vanishing correlations associated with paths pti and Psi. In other words, rsi.tc and rti.sc should be approximately zero. The two uninvolved independent variables are "held constant" to prevent a spurious correlation that might occur if rst, rsc, or rtc \ 8. Therefore, it would not be desirable to reject hypothesis 4. H4: rti.sc = B and rsi.tc = The computation techniques for the paths based on the five-variable model are presented in Table 4-4. Also, the decomposition of the (5) 10 correlation combinations is given in Table 4-5. The techniques described in this chapter together with the formulas given in Tables 4-4 and 4-5 represent the method used for the analysis of data in Chapter V. Table 4-4. Formulas Used to Generate Path Coefficients in the Five-Variable Model I Rearession Model d s Model 1 d t Model 1 d c Model 1 d i Model 1 i c Model 2 s t rst t c rtc a c rsc i Ru (1-R2) 5 where R2 comes from the regression using Ru d R, (1-R2) 5 where R2 comes from the regression using Rv Regression Models Model 1: d = pds s + pdt t + pdc c + pdi i+ PdRv R Model 2: d = pi c + piRu Ru Table 4-5. Correlation Pairs and Five-Variable Model Variable Causal Paths 1 j Direct Indirect d s Pds none d t Pdt Pdc Pdi Pic none none none none none none Pic Pdi none none none none none none none Connecting Paths for the Non-Causal Paths Pdt Pst + Pdc Pcs + Pdi Pic Pcs Pds Pst + Pdc Pot + Pdi Pic Pct Pdt Pct + Pds Pcs Pdc Pic + Pdt Pct Pic + Pds Pcs Pic none Pic Pct Pic Pcs rct rcs rat CHAPTER V ANALYSIS AND RESULTS In Chapters III and IV, four hypotheses were developed and the path analysis model was discussed. In this chapter, the path analysis is performed and the hypotheses are tested. Some background tests are done first. The background work is organized in three sections: (1) disposition of missclassified responses, (2) intended vs perceived classification, and (3) subject reliability. The first section, disposition of misclassified responses, is devoted to determining whether or not to include in the analysis data from scenarios that were missclassified by subjects. In the second section, the effect of classifying the data as perceived rather than as intended is analyzed. "Intended" refers to the author's intended manipulation of the independent variables. "Perceived" refers to the subjects' perceptions of what the values of the independent variables were. The third section examines subject reliability by specifically including in the analysis the responses of subjects who missclassified most of their responses. 82 In the remainder of the chapter each of the following hypotheses is addressed. Hl: The more ambiguous the decision, the greater the subject's reliance on the source and tone of the message. H2: There will be no difference between the amount of reliance the subjects place on the source (either external auditors or systems analysts) of the criticism. H3: The change in the internal control ratings will be a function of the subject's classification of the type of change, as is specified in Table 3-4. H4: The path analysis model will fit, i.e., rti.sc = B and rsi.tc B. For convenience the variables may be referred to in an abbreviated form. The variables and their abbreviations are given in Table 5-1. 83 Table 5-1. Abbreviations for Variables Abbreviation Variable s Source t Tone c Type of Change i Importance of Procedure Being Changed d Subject's Decision- Recommendation to Audit Committee diff. Difference- Subject's Final Evaluation of Scenario's Internal Control Minus Initial Evaluation 2pe DIf control T Transaction Origination E Transaction Entry P EDP Processing Disposition of Missclassified Responses Whenever a subject answered question four (classify the type of change being recommended) differently from the expected response, his response was labeled missclassified. Table 5-2 provides a breakdown of the percentage of responses which were missclassified by type of change and type of EDP-control task. There were four types of changes (add a complement, delete a complement, delete a substitute, and replace a substitute with a complement) and three types of EDP-controls (transaction origination, transaction entry, and EDP processing). Table 5-2. Table of Missclassified Responses as a Percentage of All Responses Type a. Change T C 11 12 13 14 ITotal y o -------------------------+----------------+ p n E I 10% I 26% I 35% I 47% 1 30% e t --------------------------+---------------+ r P 1 18% I 77% I 79% I 51% I 56% o o ---------+--------+--------+-----+-------+ f 1 T I 13% I 2B% I 50% I 55% I 35% ---------+--------+---------------+--------+----- Total 14% 41% 54% 51% I 40% In Table 5-2, cells P2 and P3 represent the worst missclassifications by subjects. Therefore, those two cells are selected for further examination. In cell P2, the correct answer would have been "C', delete a complement. (Refer to Table 3-4 for a complete list of expectations by type of change.) In Table 5-3, the P2 responses are sorted by answers to question four. Table 5-3. Distribution of Subjects' Classification of Type-P2 Scenarios Perceived yepe If Change IA IB IC* ID, E, & GI Total -----------------------------------+--------+--- --+---------- Frequencyl 8 I 18 10 I 7 1 43 Percent I 18.608 41.86 I 23.26 I 16.29 I 188.80 ----- -+--------+--------+--------+---- -------- indicates correct response Most of the incorrect responses were "B" or "A." A response of "B" indicated that the subject thought the change was an addition of a substitute, while response "A" indicated that the subject perceived an addition of a complement. In other words, 60.46% (18.68% + 41.86%) of the subjects missclassified this change as an addition rather than a deletion of a complement. Examination of the scenario in question (see Appendix B) shows that the recommended change involves adding to the duties of the tape librarian. The additional duties are in violation of the separation of duties concept. Therefore, the correct answer to question four should be "C", deletion of a complement. Subjects who analyzed this scenario as an addition of a control were most likely confused between the classification of adding duties and adding a control. Perhaps the 42% who answered "add an undesirable control" thought of the added duties as "adding a control" but correctly analyzed that the change would have an ill effect. In Table 5-4, the P3 responses are sorted by answers to question four. Table 5-4. Distribution of Subjects' Classification of Type-P3 Scenarios IA, B, & FIC ID* IE I Total -------------------+---------+------- -+-------+----- Frequencyl 8 I 17 I 8 I 6 I 39 Percent I 20.51 I 43.59 I 20.51 I 15.38 I 180.08 ---------+---------+--------+---------------------- indicates correct response Examination of scenario P3 (see Appendix B) reveals that the intended change was from maintaining six months of backup tapes to maintaining three days of backup tapes for the master and transaction files. The grandfather, father, and son (three days of tapes) are considered adequate in the literature to reconstruct the current balance and the history of the account, if you assume that the account contains a history of past transactions. Therefore, the expected answer was 'D", delete a substitute. The 43.59% who responded "C", delete a complement, may have considered the additional backup tapes necessary, especially if they thought that the master file contained only the current balance. In that event, the old transaction tapes would be necessary to reconstruct the account histories. Unfortunately, the detailed nature of the master file was not included in this scenario. Furthermore, if the subject understood the change as recommending the trading-in of the six-month policy in favor of the three-day policy, he may have responded to question four with an "E", replace a substitute with a substitute. 15.38% of the subjects responded "E." From the analysis of some of the missclassified responses, it can be seen, after-the-fact, that subjects might have had "legitimate" reasons for missclassifying scenarios. This raises a question of whether the remaining analysis should be performed on data classified by intended manipulations or on data classified according to the subjects' perceptions. Intended vs Perceived Classification The results were analyzed to determine if the author's intended manipulations of the variable, type of change, were correctly perceived by the subjects. This analysis was accomplished in two ways. First, the subjects' classification of the proposed change (question four), was compared with the intended manipulation. For example, the expected response to a type- 1 change, add a complement, was "A" (see table 3-4). Table 5-2 shows that 40% of all scenarios were missclassified. Second, the subjects' responses were compared to responses that would be expected if they had correctly perceived the intended manipulation. For example, the expected value of the variable "difference" for a type-2 |
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| 0 | sobekcm_page_globals.constructor.on_page_load | |
| 0 | html_echo_mainwriter.add_style_references | Adding style references to HTML |
| 0 | html_echo_mainwriter.add_text_to_page | Reading the text from the file and echoing back to the output stream |
| 59 | html_echo_mainwriter.add_text_to_page | Finished reading and writing the file |