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  "body": "\n## Summary\n\nAn F-test is a [[hypothesis test|087P03NEND]] whose statistic has an [[F-distribution|PBT8VRJADK]] when the null hypothesis holds.\nThe statistic is a ratio of two independent variance estimates, each scaled by its degrees of freedom.\nIt compares group means in [[analysis of variance|M9AQ5HKGP4]] and nested [[linear regression|41FVC4P5JB]] models.\nIt also compares the variances of two normal samples.\n\n## Explanations\n\n### L1 human\n\nAn F-test asks whether one source of variation is large compared with another.\nIn a comparison of several groups, it compares the spread between the group means with the spread inside the groups.\nIf the group means differ only by chance, the ratio is near $1$.\nA ratio much larger than $1$ suggests that the groups really differ.\n",
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