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The F Test in a Completely Randomized Model Is Just

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


Definitions:

Standard Deviation

An indicator of the degree of variability or spread within a dataset, reflecting the extent to which the data points diverge from the average value.

Variance

An index of variability in a set of data, established by taking the average squared deviation from the mean.

Tchebysheff's Theorem

A theorem that states for any real numbers k > 1, at least (1-1/k^2) of the data values fall within k standard deviations of the mean for any distribution.

Empirical Rule

A statistical rule stating that for a normally distributed dataset, about 68% of values fall within one standard deviation, 95% within two, and 99.7% within three standard deviations from the mean.

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