Question

19) ANOVA F test was conducted to test whether the means of three groups are the same against at least one group mean is different. The total number of subjects in three samples were 30. The Fratio (test statistics) was 4.25 a) What is the p-value? b) What is your conclusion at 5% significance level? Are all group means the same?

Answer 1

a)we have to calculate degrees of freedom of numerator and denominator.

in ratio degrees of freedom in numerator is k - 1= 3 - 1= 2

degrees of freedom in denominator is n-k = 30-3= 27

now corresponding p value to f ratio 4.25 and degrees of freedom 2, 27

The p-value is .02485. The result is significant at p < .05.

b) p value is less than significance label so we have to reject null hypothesis it means that all group means are not same

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