High School

You intend to conduct an ANOVA with 66 subjects, which will be divided into 6 treatment groups.

What are the degrees of freedom for the numerator (treatment)?

What are the degrees of freedom for the denominator (error)?

Answer :

The degrees of freedom for the numerator (treatment) are 5, and the degrees of freedom for the denominator (error) are 60.

In ANOVA, the numerator degrees of freedom (df_treatment) represent the number of groups being compared minus one. Since we have 6 treatment groups, the df_treatment would be 6 - 1 = 5. It quantifies the variation among the group means, indicating how much the treatment effect is responsible for the total variation observed in the data.

The denominator degrees of freedom (df_error) represent the total sample size minus the number of groups. In this case, we have 66 subjects and 6 treatment groups. Therefore, the df_error would be

=> 66 - 6 = 60.

It quantifies the random variation or error within each group, showing how much variability exists within the groups themselves.

To know more about degrees of freedom here

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