The F-test partitions the total variation into within-group sum of squares and between-group sum of squares.

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This statement is true. The F-test is a statistical test used to compare the means of two or more groups. It does so by partitioning the total variation (the sum of squared differences between each observation and the overall mean) into within-group sum of squares (the sum of squared differences between each observation and their group mean) and between-group sum of squares (the sum of squared differences between each group mean and the overall mean). The F-statistic is then calculated by dividing the between-group sum of squares by the within-group sum of squares.

The F-Test Partitions the Total Variation into Within-Group Sum of Squares