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Roger Pfaffenberger

Ryan, LLC



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Zachary Rhyne

Ryan, LLC



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664 – Making an Impact with Statistical Auditing

Construction of Strata Boundaries in Tax Auditing

Sponsor: Statistical Auditing Interest Group
Keywords: statistical sampling, tax auditing, cumulative square root of the frequency, class width

Roger Pfaffenberger

Ryan, LLC

Zachary Rhyne

Ryan, LLC

The cumulative square root of the frequency method is a generally accepted statistical technique used for the construction of strata boundaries in stratified sampling. Many statistical consultants and state and federal taxing and auditing agencies utilize this statistical method originally developed by Dalenius and Hodges (1959). But there is a general lack of guidance on the determination and effects of interval (i.e., class) widths. Dalenius and Hodges originally proposed the application of their method using frequency distributions with class widths of 5 units. In this paper, we present the results of empirical tests to contrast Dalenius‘ method with different class widths and to other approximate, non-iterative methods using several typical skewed accounting populations.

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