Descriptive statistics and repeated-measure variables

The output includes basic descriptive statistics of the data set and the repeated-measure variables that are specified for the procedure.

Figure 1. Descriptive Statistics of Within-Subject Factor Levels table
Descriptive Statistics of Within-Subject Factor Levels table

In the Bayes Factor and Test of Sphericity table, the desired Bayes factor is approximately 1.7, which is greater than 1.0. Because the Bayesian approach estimates the odds of the testing model versus the null model, the result is in favor of the alternative hypothesis that not all the group means are the same. However, the evidence is weak (provided by such a data sample) due to the fact that the estimated Bayes factor does not exceed 3.0.

Figure 2. Bayes Factor and Test of Sphericity table
Bayes Factor and Test of Sphericity table

The Bayesian Estimates of Group Means table summarizes the posterior statistics of each repeated-measure variable, including the coverage of 95% credible intervals.

Figure 3. Bayesian Estimates of Group Means table
Bayesian Estimates of Group Means table

The Posterior Distribution of Group Means chart helps visualize the difference between the posterior distributions. The posterior means of task1 and task2 are close, and it may be worthwhile to further investigate and compare task1 and task4.

Figure 4. Posterior Distribution of Group Means chart
Posterior Distribution of Group Means chart