Can 2 X 2 between-subject ANOVA be used if participants were from the same class and all completed the same survey?

For example, say the two conditions were athletic status(athlete vs non-athlete) and parent status (parent or not a parent) and all participants completed the same survey about their beliefs.

Would this have to be a within-subjects factorial design? or could it be between-subjects?

In this scenario, where participants were all from the same class and completed the same survey, it would be more appropriate to use a within-subjects factorial design rather than a between-subjects design.

A within-subjects design, also known as a repeated measures design, involves measuring the same group of participants under different conditions. In this case, the participants are all from the same class, and they completed the same survey under different conditions based on their athletic and parent status.

This allows for controlling individual differences and increases statistical power. Additionally, it is more efficient as there is no need to recruit a separate group of participants for each condition.

In terms of analysis, you could use a 2 X 2 within-subjects ANOVA to analyze the data. This would allow you to examine the main effects of athletic status and parent status, as well as the interaction between the two variables.