Question

if you have four groups with equal sample sizes and an interval-level DV, what stat would you use to determine if a relationship exists?

Answer 1

In this scenario, you would use a one-way analysis of variance (ANOVA) test to determine if a relationship exists. ANOVA allows you to compare the means of multiple groups to determine if there are significant differences between them.

Step-by-step explanation:

In this scenario, you would use a one-way analysis of variance (ANOVA) test to determine if a relationship exists. ANOVA allows you to compare the means of multiple groups to determine if there are significant differences between them. By conducting an ANOVA test, you can determine if there is a significant relationship between the four groups with equal sample sizes and the interval-level dependent variable (DV).

Here is a step-by-step explanation of how to conduct the ANOVA test:

1. Formulate the null hypothesis (H0) and the alternative hypothesis (Ha). H0 states that there is no significant difference between the means of the four groups, while Ha states that there is a significant difference.
2. Compute the test statistic, usually the F-statistic, which follows an F-distribution.
3. Calculate the p-value associated with the test statistic.
4. Compare the p-value with the level of significance (0.05 in this case) to determine if the relationship is statistically significant.
5. If the p-value is less than the level of significance, reject the null hypothesis and conclude that a relationship exists. If the p-value is greater than the level of significance, accept the null hypothesis and conclude that there is no significant relationship.