"In an analysis of variance, if the within-group variance estimate is about the same as the between-group variance estimate, then"     the null hypothesis should be rejected     any difference between sample means is probably due to a real difference caused by experimental conditions     an error has been made in computing the between-groups and the within-groups variance estimates     any difference between sample means is probably due to random sampling error.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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13 "In an analysis of variance, if the within-group variance estimate is about the same as the between-group variance estimate, then"
   
the null hypothesis should be rejected
   
any difference between sample means is probably due to a real difference caused by experimental conditions
   
an error has been made in computing the between-groups and the within-groups variance estimates
   
any difference between sample means is probably due to random sampling error.
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