ANOVA

Problem Set 4.1: Critical Value

Criterion: Explain the relationship between k and power based on calculated k values.

Instructions: Read the following and answer the questions.

Work through the following and write down what you see in the F-table. This will help familiarize you with the table.

The F-table: The degrees of freedom for the numerator (k 1) are across the columns; the degrees of freedom for the denominator (N k) are across the rows in the table. A separate table is included for a .05 and .01 level of significance.

Increasing the levels of the independent variable (k):

Suppose we have a sample size of 24 participants (N = 24). Record the critical values given the following values for k:

.05

.01

k = 2

k = 4

k = 6

k = 8

4.3009

3.09839121

2

2.77285315

3

2.6571966

7.9453

4.93819338

2

4.24788215

4.02594659

1

As k increases (from 1 to 8), does the critical value increase or decrease? Based on your answer, explain how k is related to power.