Fstatistikken
Fstatistikken, commonly referred to as the F-statistic, is a statistical measure used to assess whether a statistical model explains a significant portion of the observed variability. It is central to analysis of variance (ANOVA) and linear regression, where it tests hypotheses about the overall significance of a model or the equality of means across groups.
The statistic is defined as F = MS_between / MS_within, where MS_between is the mean square attributable to
A small p-value against the F distribution leads to rejection of the null hypothesis, indicating that the
F-statistics are widely used to compare nested models and to perform overall tests of regression or group