Repeated measures ANOVA (one variable)
In situations where two variables were measured in the same sample, this procedure is normally recommended (Bennett, 2006).
The Cochran Q test, which is one of the non-parametric counterparts of the repeated measures ANOVA, or one variable test, applies in situations where the variables are measured in terms of categories for example, â€œgoodâ€ and â€œbadâ€.
On the other hand, the fried manâ€™s two-way analysis is considered as a generalization of the Wilcoxon test and it is more appropriate for any two pair of sample designs. Friedmanâ€™s test is considered a non-parametric alternative to the repeated measures ANOVA in situations where the assumptions underlying the test are not being satisfied. For a normal distribution, the Friedman testâ€™s Are concerning the F test is taken to be 0.955 k / (k + 1) where k is equivalent to the number of treatment groups (Field, 2009).
One way ANOVA (independent)
This type of procedure is used when one is testing for the differences between two or more independent groups. On the other hand, the method is used to test for the difference that exists between at least three groups. This is because the T-test can cover the two group test cases. The non-parametric alternative counterpart for this test includes the Kruskal-Wallisâ€™s analysis of variance by ranks. This procedure is used mostly when one is comparing two or more groups (Field, 2009).
This type of procedure has its non-parametric alternative counterpart that includes the Spearman rank correlation coefficient. The purpose of this test is for assessing the linear association between some two sets of variables (Bennett, 2006).
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