The best replacement for t test is z test.

The best alternatives to t test are rated as following:
★★★★★  z test
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★★★★  chi square
★★★★  f test
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★  paired t test
★  wilcoxon
★  mann whitney
★  correlation
★  regression
★  chi square test
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  pearson r

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Speaking about t test, one probably shouldn't forget about two means.

Other search terms related to t test and their ratings are:
★★★★★ two means
★ p value
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