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user1205901 - Слава Україні
user1205901 - Слава Україні
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By null hypothesis is true I mean that the means of each group is the same at population level.

I am wondering whether the expected value would depart from 1 in the case that the variances of the groups are different from one another at population level, or if the groups are non-normally distributed at population level, or in any other case. If it does, why does this change the expected value?

I'm thinking of a One-way independent groups ANOVA with three groups, but wonder if the answer to this question would generalise beyond that.

By null hypothesis is true I mean that the means of each group is the same at population level.

I am wondering whether the expected value would depart from 1 in the case that the variances of the groups are different from one another at population level, or if the groups are non-normally distributed at population level, or in any other case.

I'm thinking of a One-way independent groups ANOVA with three groups, but wonder if the answer to this question would generalise beyond that.

By null hypothesis is true I mean that the means of each group is the same at population level.

I am wondering whether the expected value would depart from 1 in the case that the variances of the groups are different from one another at population level, or if the groups are non-normally distributed at population level, or in any other case. If it does, why does this change the expected value?

I'm thinking of a One-way independent groups ANOVA with three groups, but wonder if the answer to this question would generalise beyond that.

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user1205901 - Слава Україні
user1205901 - Слава Україні
  • 13.2k
  • 30
  • 104
  • 180

In ANOVA, if the null hypothesis is true is the expected value of F guaranteed to be 1?

By null hypothesis is true I mean that the means of each group is the same at population level.

I am wondering whether the expected value would depart from 1 in the case that the variances of the groups are different from one another at population level, or if the groups are non-normally distributed at population level, or in any other case.

I'm thinking of a One-way independent groups ANOVA with three groups, but wonder if the answer to this question would generalise beyond that.