Question

A researcher uses a one- way ANOVA to investigate treatment groups. She has five groups and has 20 participants in eat group. Her dferror is:

a. 80
b. 95
c. 4
d. 19
e. 25

Answer 1

The dferror in a one-way ANOVA with 5 groups and 20 participants in each group is 95.

Step-by-step explanation:

One-Way Analysis of Variance (ANOVA) is a statistical method used to determine if there are any statistically significant differences between the means of three or more independent (unrelated) groups. It essentially tests the null hypothesis that all group means are equal against the alternative hypothesis that at least one group mean is different.

In a one-way ANOVA, the dferror (degrees of freedom for error) is calculated by subtracting the total number of groups (k) from the total sample size (N). In this case, the researcher has 5 groups and 20 participants in each group, so the total sample size is 5 * 20 = 100. Therefore, the dferror is 100 - 5 = 95.