Question

1 way ANOVA analysis was used to test the effectiveness of 3 kinds of headache medicines (Advil, Tylenol, and Excedrin). The analysis involved 21 people (7 per group), and used an alpha level of 0.01. What is the Critical Value

Answer 1

The critical region is F >F ₀.₀₁ (2,18) = 6.01

Explanation:

For 1 way ANOVA the degrees of freedom Between Samples would 2 and within Samples would be 18 .

Alpha is given to be = 0.01

v1 = k-1 and v2 = n-k

Where k is the number of rows and n is the total number of values

v1= 3-1= 2 and v2 = 21-3= 18

So if we look up the table we find the values of the critical region to be 6.01

Hence the critical region is less and equal to 6.01

The critical region is F >F ₀.₀₁ (2,18) = 6.01