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F-test for difference in two population variances

  • Two population variance test has 3 different forms:


  • Two Tailed Test: 



  • Lower Tail test:


  • Upper Tail Test


  • The F test statistic is:

  • Although it’s not a rule but always take the higher sample variance as the numerator and lower sample variance as the denominator


= Variance of Sample 1

(n1 – 1) = numerator degrees of freedom

= Variance of Sample 2

(n2 – 1) = denominator degrees of freedom


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