The best replacement for f test is t test.

The best alternatives to f test are rated as following:
★★★★★  t test
★★  anova
★  wald test
★  chi square
★  r squared
  levene's test

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Speaking about f test, one probably shouldn't forget about p value.

Other search terms related to f test and their ratings are:
★★★★★ p value
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f test
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