Which of the following is used to test the significance for the analysis of a Variance Table?

Question

Options

• At Test
• BF Test
• CChi Square Test
• DAcid Test

• A
  4% (2)
• B
  71% (32)
• C
  9% (4)
• D
  16% (7)

Explanation

F Test is used to test significance in an Analysis of Variance (ANOVA) table because ANOVA compares variance between groups to variance within groups - producing an F-ratio (mean square between / mean square within) that determines whether group means differ significantly.

Why the distractors are wrong:

• A (t Test): The t test compares the means of only two groups; ANOVA handles three or more, making the t test insufficient and increasing Type I error risk if applied repeatedly.
• C (Chi-Square Test): Chi-square tests relationships between categorical variables (frequencies/counts), not the continuous variance ratios that ANOVA produces.
• D (Acid Test): This is a term from chemistry and finance (liquidity ratio), not statistics - a plausible-sounding distractor with no statistical meaning.

Memory tip: Think F for Fisher - Ronald Fisher invented both ANOVA and the F distribution, so the F test and ANOVA are inseparable by design. If you see an ANOVA table, always reach for F.

No community discussion yet for this question.