Abstract

This paper proposes and presents a test statistic that intrinsically and structurally adjusts the usual McNemar test statistic for the possible presence of tied responses between the paired populations of cases and control subjects that may be measurements on any scale. The method also enables the researcher readily estimate not only the chances that among a random selected pair of case and control subjects the case responds positive and the control responds negative, or the case responds negative and the control responds positive, but also even when both case and control subjects have similar responses, it enables one easily estimate the probability that both respond positive or both respond negative. The proposed method, which is shown to be relatively more efficient and hence likely to be more powerful than the usual McNemar test statistic is illustrated with some data.

Highlights

  • The two sample statistical tests are used when the research interest is in determining whether there is statistical difference between two populations from which the samples are drawn

  • Example of similar or related populations include those situations in which repeated measurements or observations are made on the same individuals or subjects at two different points in time or when individuals of similar characteristics are being compared [1]

  • In each case the population which has undergone treatment or procedure is compared with the population which has undergone the other treatment or procedure to ascertain whether the two populations are statistically different

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Summary

Introduction

The two sample statistical tests are used when the research interest is in determining whether there is statistical difference between two populations from which the samples are drawn. Π+− π- is a measure of the differential rate of positive responses by subjects in the experimental or treatment condition T2 namely case, and standard condition T1 namely control and its sample estimate is π+ −π− = W = f + − f −

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