ANOVA when at least one of the factors is related (repeated measures) is called which design?

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Multiple Choice

ANOVA when at least one of the factors is related (repeated measures) is called which design?

Explanation:
Repeated measures designs involve measuring the same participants under multiple conditions or across multiple time points, so the observations are related. The analysis that handles this setup is called repeated measures ANOVA (also known as within-subjects ANOVA). It separates variance due to differences between subjects from variance due to the manipulated conditions, which increases statistical power by reducing error from individual differences. This design can include one or more within-subject factors and requires checking sphericity; if sphericity is violated, corrections like Greenhouse-Geisser or Huynh-Feldt are applied. The other terms differ in scope: MANOVA handles multiple dependent variables; a two-way ANOVA involves two factors with independent groups (unless a repeated-measures version is specified); a one-way ANOVA involves a single factor with independent groups.

Repeated measures designs involve measuring the same participants under multiple conditions or across multiple time points, so the observations are related. The analysis that handles this setup is called repeated measures ANOVA (also known as within-subjects ANOVA). It separates variance due to differences between subjects from variance due to the manipulated conditions, which increases statistical power by reducing error from individual differences. This design can include one or more within-subject factors and requires checking sphericity; if sphericity is violated, corrections like Greenhouse-Geisser or Huynh-Feldt are applied. The other terms differ in scope: MANOVA handles multiple dependent variables; a two-way ANOVA involves two factors with independent groups (unless a repeated-measures version is specified); a one-way ANOVA involves a single factor with independent groups.

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