For a repeated-measures study,df_{between treatments}= 3 and df_total = 27.This means that there were n = 7 participants in the study.

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The formula for calculating the total degrees of freedom in a repeated-measures study is df_total = (n-1)*p, where n is the number of participants and p is the number of conditions or treatments. In this case, df_total = 27 and df_{between treatments} = 3, which means that n = (df_total + 1)/p = (27 + 1)/3 = 9. Therefore, there were n = 9 participants in the study, not 7.

For a Repeated-Measures Study,dfbetween Treatments= 3 and Dftotal = 27

For a Repeated-Measures Study,df_{between Treatments}= 3 and Df_total = 27