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Ranked set sampling: an auditing application

Author

Listed:
  • Nader Gemayel
  • Elizabeth Stasny
  • James Tackett
  • Douglas Wolfe

Abstract

This study compares the statistical precision of simple random sampling with balanced ranked set sampling in an inventory valuation scenario. Computer simulation is used to calculate standard errors for the ranked set sampling mean, and those standard errors are then compared to the corresponding standard error achieved under simple random sampling. Results indicate that required sample sizes for a given precision are much smaller under ranked set sampling than under simple random sampling. This implies that simple random sampling is inferior to ranked set sampling in auditing scenarios involving the measurement of time consuming or difficult to gather data such as inventory observations, receivable confirmations, etc. Accordingly, auditors using ranked set sampling in lieu of simple random sampling can achieve the significant cost reductions associated with smaller sample sizes without sacrificing audit quality. This is a significant finding because current auditing practice is still using the simple random sampling methodology. Copyright Springer Science+Business Media, LLC 2012

Suggested Citation

  • Nader Gemayel & Elizabeth Stasny & James Tackett & Douglas Wolfe, 2012. "Ranked set sampling: an auditing application," Review of Quantitative Finance and Accounting, Springer, vol. 39(4), pages 413-422, November.
    • Handle: RePEc:kap:rqfnac:v:39:y:2012:i:4:p:413-422
    DOI: 10.1007/s11156-011-0263-y
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    References listed on IDEAS

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    1. Kaplan, Rs, 1975. "Sample-Size Computations For Dollar-Unit Sampling," Journal of Accounting Research, Wiley Blackwell, vol. 13, pages 126-133.
    2. Steven N. MacEachern & Ömer Öztürk & Douglas A. Wolfe & Gregory V. Stark, 2002. "A new ranked set sample estimator of variance," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(2), pages 177-188, May.
    3. Wally Smieliauskas, 1986. "Control of sampling risks in auditing," Contemporary Accounting Research, John Wiley & Sons, vol. 3(1), pages 102-124, September.
    4. Haiying Chen & Elizabeth A. Stasny & Douglas A. Wolfe, 2006. "Unbalanced Ranked Set Sampling for Estimating a Population Proportion," Biometrics, The International Biometric Society, vol. 62(1), pages 150-158, March.
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    Citations

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    Cited by:

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    2. M. Mahdizadeh & Ehsan Zamanzade, 2020. "Estimating asymptotic variance of M-estimators in ranked set sampling," Computational Statistics, Springer, vol. 35(4), pages 1785-1803, December.

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    More about this item

    Keywords

    Estimation precision; Simple random sampling; Statistical auditing; Statistical sampling; C83; M42;
    All these keywords.

    JEL classification:

    • C83 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Survey Methods; Sampling Methods
    • M42 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Accounting - - - Auditing

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