Error Rates, Error Projection, and Consideration of Sampling Risk: Audit Sampling Data from the Field

Previous research has examined error characteristics of accounting populations as well as auditors’ evaluation of sample errors. In addition, many studies about audit sampling techniques frequently rely on assumptions concerning the error characteristics of accounting populations. These studies precede the passage of the Sarbanes-Oxley Act, which likely had a significant impact on financial reporting and internal controls, as well as auditor sampling performance. We investigate error rates and auditor performance in evaluating sample errors using a unique proprietary post-SOX data set of 160 audit sampling applications for a large auditing firm. We find that errors are significantly lower in magnitude and frequency in the post-SOX period, and significantly improved auditor performance in evaluating sample errors. The low error rates in our study suggest that the criticisms of typical audit sampling techniques reported previously in the literature may not be a serious concern for most audit sampling applications.

[1]  Joseph V. Carcello,et al.  The effect of PCAOB inspections on Big 4 audit quality , 2011 .

[2]  Mark L. DeFond,et al.  The Effect of SOX on Small Auditor Exits and Audit Quality , 2011 .

[3]  Randal J. Elder,et al.  A Longitudinal Investigation of Auditor Error Projection Decisions , 2005 .

[4]  M. Lesperance,et al.  Optimal Bounds Used in Dollar-Unit Sampling: A Comparison of Reliability and Efficiency , 2004 .

[5]  Robert D. Allen,et al.  A Longitudinal Field Investigation of Auditor Risk Assessments and Sample Size Decisions , 2003 .

[6]  Robert D. Allen,et al.  An empirical investigation of the auditor's decision to project errors , 1998 .

[7]  Howard R. Clayton,et al.  A Combined Bound for Errors in Auditing Based on Hoeffding's Inequality and the Bootstrap , 1994 .

[8]  Denny Meyer,et al.  Estimation of Audit Bounds for Net Error , 1992 .

[9]  E. M. Matsumura,et al.  Comparative Performance of Two Multinomial-Based Methods for Obtaining Lower Bounds on the Total Overstatement Error in Accounting Populations , 1991 .

[10]  James T. Godfrey,et al.  Comparison of Sieve Sampling with Random and Cell Sampling of Monetary Units , 1989 .

[11]  James T. Godfrey,et al.  Efficiency of Sieve Sampling in Auditing , 1989 .

[12]  Wally J. Smieliauskas,et al.  Some empirical evidence on the stability of accounting error characteristics over time , 1987 .

[13]  Wally J. Smieliauskas,et al.  A comparison of the stratified difference estimator with some monetary‐unit sampling estimators* , 1987 .

[14]  Wally J. Smieliauskas Control of sampling risks in auditing , 1986 .

[15]  Wally J. Smieliauskas,et al.  A Simulation Analysis Of The Power Characteristics Of Some Popular Estimators Under Different Risk And Materiality Levels , 1986 .

[16]  Donald M. Roberts Stratified Sampling Using a Stochastic Model , 1986 .

[17]  John Neter,et al.  Robust Bayesian Bounds for Monetary‐Unit Sampling in Auditing , 1985 .

[18]  Wally J. Smieliauskas,et al.  Sensitivity Analysis of the Realized Risks of Auditing with Uncertainty Concerning Internal Control Evaluations , 1985 .

[19]  Jeffrey Joseph Phillips,et al.  Bayesian bounds for monetary-unit sampling using actual accounting populations , 1985 .

[20]  Wally J. Smieliauskas,et al.  A Simulation Study Of The Performance Of Parametric Dollar Unit Sampling Statistical Procedures , 1984 .

[21]  John Neter,et al.  Bayesian Bounds for Monetary Unit Sampling in Accounting and Auditing , 1984 .

[22]  John Neter,et al.  Power Characteristics of Test Statistics in the Auditing Environment: An Empirical Study , 1982 .

[23]  P. J. Beck A critical analysis of the regression estimator in audit sampling , 1980 .

[24]  David R. Cox,et al.  On sampling and the estimation of rare errors , 1979 .

[25]  R. L. Baker,et al.  Evaluation Of The Stratified Regression Estimator For Auditing Accounting Populations , 1979 .

[26]  Stanley J. Garstka,et al.  Ratio Estimation In Accounting Populations With Probabilities Of Sample Selection Proportional To Size Of Book Values , 1979 .

[27]  John Neter,et al.  On the Behavior of Statistical Estimators When Sampling Accounting Populations , 1977 .

[28]  S. Fienberg,et al.  Estimating the Total Overstatement Error in Accounting Populations , 1977 .

[29]  S. Garstka Models for Computing Upper Error Limits in Dollar-Unit Sampling , 1977 .

[30]  William R. Kinney A Decision-Theory Approach to the Sampling Problem in Auditing , 1975 .

[31]  A. Teitlebaum,et al.  The Real Risks in Audit Sampling , 1975 .

[32]  William R. Kinney Decision-Theory Aspects Of Internal Control-System Design-Compliance And Substantive Tests , 1975 .

[33]  R. Kaplan Statistical Sampling in Auditing with Auxiliary Information Estimators , 1973 .