Two independent samples of size 30 each have been selected at random from the female and male students of a university. To test whether there is any difference in the grade point average between female and male students, an equal-variances t-test will be considered. Another test to consider is ANOVA. Which of the following is the most likely ANOVA to fit this test situation?
A) Randomised block design.
B) Two-way ANOVA.
C) One-way ANOVA.
D) Chi-squared test.

Question

Quizplus · Accepted Answer

One-way ANOVA is the most suitable test as we are comparing the means of two independent groups (male and female). Randomised block design ANOVA is used when the same group of people is tested under different conditions. Two-way ANOVA is used when there are two independent variables affecting the dependent variable, which is not the case here. The chi-squared test is used to compare categorical data, which is not relevant to this scenario.

Two Independent Samples of Size 30 Each Have Been Selected