Question

When using a one-way within-groups ANOVA, the variability due to individual differences is _____, resulting in a _____ F statistic.

a) increased; smaller

b) reduced; smaller

c) reduced; larger

d) increased; larger

Answer 1

When using a one-way within-groups ANOVA, the variability due to individual differences is reduced, resulting in a larger F statistic.

Step-by-step explanation:

When using a one-way within-groups ANOVA, the variability due to individual differences is reduced, resulting in a larger F statistic.

One-way within-groups ANOVA compares the variation within each group to the variation of the mean of each group. The variability due to individual differences is reduced because the ANOVA test accounts for the differences between individuals within each group. This reduction in variability leads to a larger F statistic.