Question

A researcher performs an “ANOVA (Analysis of Variance)” statistical test when the variable data s/he is...

A researcher performs an “ANOVA (Analysis of Variance)” statistical test when the variable data s/he is working with are characterized by which scale of measurement? Please identify the scale of measurement for the IV and the scale of measurement for the DV.

i. What is the difference between a t-test and a One-Factor (or one-way) ANOVA?

ii. What is the difference between a One-Factor (or one-way) ANOVA and a Two-Factor (or two-way) ANOVA?

iii. What is the main difference between a Two-Factor (or two-way) ANOVA and a Repeated-Measures ANOVA?

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Answer #1

i) The difference is in the utility. A t- test is used to compare the difference between only two means. An ANOVA test is used to evaluate if there are differences between two or more means. If there are only two means, the t-test is equivalent to an ANOVA test.

ii) The one-factor ANOVA studies if there are differences between the means of a single independent variable. The two-factor ANOVA allows to study simultaneously the effects of two sources of variation and the interactions between them.

iii) The main difference between a two-factor ANOVA and a repetead-measures ANOVA is that in the first one, independence is assumed between the observations, while in the second, no.

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