In statistics, the validity of a test statistic depends on several assumptions being met. Assumptions are things that are taken for granted by a particular statistic. We must verify all of the assumptions associated with a particular statistic when we use it. Some statistics are considered robust against violations of certain assumptions. This means that even when the assumption is violated, we can still have a high degree of confidence in the results. As a consumer of research, it is important to understand that if the assumptions of a statistical test are violated, then we cannot trust the statistical outcome or any discussion points the author makes about those results.
Assumptions are characteristics of the data that must be present for the results of a statistical test to be accurate.
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