On Consistency and Limitation of paired t-test, Sign and Wilcoxon Sign Rank Test

By A. Imam, M. Usman, M. Chiawa. 2014

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This article investigates the strength and limitation of t-test and Wilcoxon Sign Rank test procedures on paired samples from related population. These tests are conducted under different scenario whether or not the basic parametric assumptions are met for different sample sizes. Hypothesis testing on equality of means require assumptions to be made about the format of the data to be employed. The test may depend on the assumption that a sample comes from a distribution in a particular family. Since there is doubt about the nature of data, non-parametric tests like Wilcoxon signed rank test and Sign test are employed. Random samples were simulated from normal, gamma, uniform and exponential distributions. The three tests procedures were applied on the simulated data sets at various sample sizes (small, moderate and large) and their Type I error and power of the test were studied in both situations under study.

Subfields: Control and Systems Engineering, Software, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/8e7c161623ee5ec6027a35e31603ee520644b4fb