One-way ANOVA is applied to three independent samples having means 10, 13, and 18, respectively. If each observation in the third sample were increased by 30, the value of the F-statistics would:
A) increase
B) decrease
C) remain unchanged
D) increase by 30
E) increase by 60

Question

Quizplus · Accepted Answer

Increasing each observation in the third sample by 30 would increase the mean of the third sample from 18 to 48. Therefore, the differences between the means of the three samples would become even larger, resulting in a larger between-group variability. This would increase the numerator of the F-statistic, while the denominator remains the same. Therefore, the F-statistic would increase.

One-Way ANOVA Is Applied to Three Independent Samples Having Means