Student Newman Keuls test

The Student Newman Keuls test is a posthoc test that is used to check for pairwise equality of means for several populations. It is typically used after we reject the null hypothesis in the...

Most powerful test

Most powerful tests are used when both the null and alternative hypotheses are simple. This means that the parameter takes a single value under both the null and alternative hypotheses. What is a most powerful...

Uniformly Most Powerful Tests

What is a most powerful test? Suppose that you want to conduct a hypothesis test for the value of a parameter θ with a simple point hypothesis given as H0: θ=θ0 vs H1: θ=θ1 Out of the...

Dunnetts test

Dunnetts test is a posthoc test that is applied after the ANOVA procedure to compare the means of a test group with the control group. Example: Consider the following example. Suppose you want to understand...

Box’s M test

Box’s M test is a statistical test used to check for the equality of covariance matrices coming from two or more different populations following the multivariate normal distribution. This test can only be applied...

Bartletts test

Bartlett’s test is used to check for the equality of variances of several normal populations. It is most commonly used before applying the ANOVA procedure to test for equality of means. This is because...

Levene’s test

Levene’s test is used to check for equality of variances of two or more populations where the populations may not follow the normal distribution. Thus the Levenes test is similar to Bartlett’s test but...

KMO test

The KMO test (Kaiser-Meyer-Olkin measure of sampling adequacy) is a test that is used to decide whether our samples are suitable for conducting factor analysis. Factor analysis in statistics is about identifying underlying factors...