The best replacement for one way anova is two way anova.

The best alternatives to one way anova are rated as following:
★★★★★  two way anova
★★★  t test
★★  repeated measures anova
★★  factorial anova
★  anova
★  t-test
★  independent samples t test
★  chi square
★  kruskal-wallis
★  two sample t-test
★  two way
  univariate analysis variance
  repeated measures
  independent samples t-test
  single factor anova
  paired t test
  univariate anova
  f-test

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