The best replacement for anova is regression.

The best alternatives to anova are rated as following:
★★★★★  regression
★★★★  ancova
★★★★  t-test
★★★  manova
★★★  chi square
★★  sansaire
★★  t test
★  polyscience
★  correlation
★  two way anova
★  multiple regression
★  glm
★  f test
★  repeated measures anova
★  t test & when to use
★  logistic regression
★  multiple t tests
★  kruskal-wallis test
★  sous vide supreme
★  linear regression
  f-test
  analysis of variance
  regression analysis
  nomiku
  one way anova
  kruskal-wallis
  kruskal wallis
  paired t test
  sansaire sous vide
  post hoc
  mann whitney
  job satisfaction and one way anova
  correlation analysis
  aov r
  chi squared
  simple linear regression
  z test
  mann-whitney
  linear model
  student t test
  nonparametric
  chi
  mixed model
  hypothesis testing
  t-tests
  wilcoxon
  t tests

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Speaking about anova, one probably shouldn't forget about spss.

Other search terms related to anova and their ratings are:
★★★★★ spss
★★★ equal variance
★ post hoc test
★ post hoc
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anova
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