Analysis of Variance (ANOVA) with correct answer 2025

Analysis of Variance (ANOVA) with
correct answer 2025



Analysis of Variance - CORRECT ANSWER-Hypothesis test used to evaluate mean
differences between more than two groups

Problems with multiple t tests - CORRECT ANSWER-Unacceptably high probability of
Type I Error (alpha), also called alpha inflation

Variance - CORRECT ANSWER-a measure of variability = standard deviation squared

Two source of variance - CORRECT ANSWER-1. Between group variance
2. Within group variance

Between group Variance - CORRECT ANSWER-Between group means, cause by
independent variable + some error

Within group Variance - CORRECT ANSWER-Dispertion of scores within each group,
cause by error

F - CORRECT ANSWER-Between group Variance / Within Group Variance
- Measure of differences between groups relative to error
- Just like t, F is influenced by the differences between means as well as the spread of
scores in each group

F = - CORRECT ANSWER-MS between / MS within

MS (mean squares) between = - CORRECT ANSWER-SS between / df between

df between = - CORRECT ANSWER-# of groups (k) - 1

MS (mean squares) within = - CORRECT ANSWER-SS within / df within

df within = - CORRECT ANSWER-N - number of groups (k)

df total = - CORRECT ANSWER-N - 1