Question

Df Sum Sq Mean Sq F value Pr(> F)

Brand 4 589.30 147.32. 17.644    1.529e−05

Residuals 15 125.25. 8.35

Is there any signifigant difference in the brands?, use alpha .01

Answer 1

For testing the significant difference in the brand at 0.05 alpha level or significance level, just compare the p value corresponding to F test statistics with significance level. If the p value is less than significance level, then there is a significant difference in the brands and if the p value is not less than significance level, then there is a no significant difference in the brands.

Using the given data table, p value corresponding to F test statistics is 1.529e-05, which is less than 0.01 significance level. Therefore, we can conclude that there is a significant difference in the brands