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Answer:
a. one-way within-groups ANOVA
Step-by-step explanation:
Here, the research question meets the conditions required for a one-way within group ANOVA. One way within group anova allows for comparison between the mean of three or more groups or levels of one independent variable on a dependent variable. In the scenario above, the one independent variable is stage of the season with levels : (pre-season, throughout active season and post season) and the dependent variable being the athletes academic performance. It is a within group ANOVA as all subjects are used to test each level of the independent variable. Which is different from between groups where different subjects are assigned to different groups.