A researcher conducts a study on the effectiveness of a physical activity program in motivating people to engage in physical activity on a long term basis. This researcher tests her participants physical activity levels at four time points: pretest, posttest, six month follow-up, and one year follow-up. What is statistical tests would be most appropriate for the analysis of the data

One-way repeated measures analysis of variance.

Explanation:

'One-way repeated measures analysis of variance' is characterized as the sturdy statistical test that is primarily employed to determine if the means of three or more groups are distinct or at variance when the subjects(participants) remain the same for every group(i.e. related groups).

As per the details, 'one-way repeated measures analysis of variance' would be most appropriate for analyzing the given set of data as the same category of participants are compared or tested for their variance in distinct experimental conditions(pretest, posttest, six-month follow-up, and one-year follow-up').

the density would be a smaller number.