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All inferential statistics include assumptions – conditions that must be met before the results of test...

  1. All inferential statistics include assumptions – conditions that must be met before the results of test can be meaningfully interpreted. In addition to the assumptions of normality, homogeneity of variance and independent sampling post-hoc tests add an additional assumption. What is this assumption? (What must be true before you can do a post-hoc test with an ANOVA) Explain why this assumption is required.?

Math   Statistics-And-Probability   
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Answer #1

Additional assumption is:

Statistically significant one - way ANOVA

Explanation: ANOVA test tells us whether we have an overall difference between the groups., but it does not tell us which specific group differed. Post hoc tests are run to confirm where the differences occurred between groups. The post hoc tests should only be run when we have a shown an overall statistically significant difference in group means. Post hoc controls the experimentwise error rate in thesamemanner that the one way ANOVA is used instead of multiple t tests.

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