One-way analysis of proportions for misclassified binomial data |
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Authors: | Dewi Rahardja Yan D Zhao |
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Institution: | 1. Department of Clinical Sciences and Simmons Cancer Center , UT Southwestern Medical Center , Dallas , TX , 75390-8551 , USA rahardja@gmail.com;3. Department of Clinical Sciences and Simmons Cancer Center , UT Southwestern Medical Center , Dallas , TX , 75390-8551 , USA |
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Abstract: | We consider data with a nominal grouping variable and a binary response variable. The grouping variable is measured without error, but the response variable is measured using a fallible device subject to misclassification. To achieve model identifiability, we use the double-sampling scheme which requires obtaining a subsample of the original data or another independent sample. This sample is then classified by both the fallible device and another infallible device regarding the response variable. We propose two Wald tests for testing the association between the two variables and illustrate the test using traffic data. The Type-I error rate and power of the tests are examined using simulations and a modified Wald test is recommended. |
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Keywords: | contingency table double sampling misclassification one-way analysis of proportions Wald test |
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