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F-TEST

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  F -test An  F -test  is any  statistical test  in which the  test statistic  has an  F -distribution  under the  null hypothesis . It is most often used when  comparing statistical models  that have been fitted to a  data  set, in order to identify the model that best fits the  population  from which the data were sampled. Exact " F -tests" mainly arise when the models have been fitted to the data using  least squares . The name was coined by  George W. Snedecor , in honour of  Ronald Fisher . Fisher initially developed the statistic as the variance ratio in the 1920s. [1] Common examples [ edit ] Common examples of the use of  F -tests include the study of the following cases: The hypothesis that the  means  of a given set of  normally distributed  populations, all having the same  standard deviation , are equal. This is perhaps the best-known  F -test, an...