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Efficiency of Sieve Sampling in Auditing

审计中筛式抽样的效率

Dollar-unit sampling is a popular method for sampling accounts by auditors. In this article, we analyze and compare two methods of obtaining dollar-unit samples, simple random sampling and sieve sampling. Two methods of assigning errors to the dollar units in the population are considered. For a variety of study populations based on actual accounting populations, it is found that sieve sampling, with either error assignment method, produces a more precise point estimator…

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On the Behavior of Statistical Estimators When Sampling Accounting Populations

会计总体抽样中统计估计量的表现

Auditors usually have information on both the book amount and the audit amount available for each sample audit unit. Problems in using difference and ratio estimators, as well as some other estimators, for constructing large-sample normal confidence intervals when the population error rate is low are explored empirically in this article. The findings indicate the need for great care in using large-sample normal confidence intervals for sample sizes of 100 or 200 (sizes…

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Estimating the Total Overstatement Error in Accounting Populations

会计总体中总高估误差的估计

Auditors wishing to estimate the total amount of errors in a set of accounts have tended to use estimation procedures which rely on approximate normality for large sample sizes. Since this reliance is often not well-founded for sample sizes used in auditing practice, efforts have been made to circumvent this difficulty. This paper will briefly describe these efforts and then present a new approach based on the multinomial probability distribution which yields confidence…

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