This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.
Abstract Details
Activity Number:
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71
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Type:
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Contributed
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Date/Time:
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Sunday, August 1, 2010 : 4:00 PM to 5:50 PM
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Sponsor:
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Biometrics Section
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Abstract - #308224 |
Title:
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Application of Anbar's Approach to Hypothesis Testing to Detect the Difference Between Two Proportions
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Author(s):
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Ananya Roy*+ and Julia Soulakova
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Companies:
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University of Nebraska-Lincoln and University of Nebraska-Lincoln
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Address:
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Department of Statistics, Lincoln, NE, 68583-0963, USA
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Keywords:
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Abstract:
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We discuss Anbar's(1983) approach for estimating a difference between two binomial proportions with respect to a hypothesis testing problem. Such an approach results in two possible testing strategies. While the results of the tests are expected to agree for a large sample size when two proportions are equal, the tests are shown to perform quite differently in terms of their probabilities of a type I error for selected sample sizes. Moreover, the tests can lead to different conclusions, which are illustrated via a simple example; and the probability of such cases can be relatively large. We propose a modified test and assess the performance of this test compared to the conventional test based on normal approximation. The modified Anbar's test is shown to control the probability of a type I error better for moderate sample sizes.
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