The F test in a completely randomized model is just an expansion of the t test for independent samples.

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The F test in a completely randomized model is used to test the null hypothesis that there is no difference in the mean values of the dependent variable among the groups defined by the independent variable. It is not just an expansion of the t test for independent samples, but both tests are related and can be used together to test the overall significance of a model. The F test in a completely randomized model is used to test the overall significance of the model, while the t test for independent samples is used to compare the means of two independent groups. However, the F test can be seen as an extension of the t test, as both tests rely on the assumption of normality and can be used to test the null hypothesis that there is no difference between the means of two groups.

The F Test in a Completely Randomized Model Is Just