The best replacement for p value is alpha.

The best alternatives to p value are rated as following:
★★★★★  alpha
★★★★★  confidence interval
★★★  t value
★★  t test
★★  p value
★★  effect size
★★  critical value
★★  q value
★★  r squared
★  level of significance
★  test statistic
★  r value
★  z value
★  r2
★  correlation coefficient
  odds ratio
  significance level
  f value
  ci
  null hypothesis
  t stat
  p-value

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

Other search terms related to p value and their ratings are:
★★★★★ t test
★★ f test
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p value
alpha
confidence interval