To Examine Development in the Pedagogical Content Knowledge (PCK) of New

To examine development in the pedagogical content knowledge (PCK) of new teachers, 12 novice teachers are measured on their PCK at the beginning of their teaching career, at the end of the first semester, and at the end of the first school year. The scale that measures PCK ranges from 0 to 45 with higher scores reflecting greater levels of PCK. The data are shown below. Conduct a one-factor repeated measures ANOVA to determine the mean differences across time, using $\alpha$ = .05. Use the Bonferroni method to detect exactly where the differences are among the time points (if they are different).
$\begin{array}{|c|c|c|c|}\hline \text { Subject } & \text { Time 1 } & \text { Time 2 } & \text { Time 3 } \\\hline 1 & 16 & 17 & 28 \\\hline 2 & 17 & 23 & 32 \\\hline 3 & 11 & 21 & 30 \\\hline 4 & 15 & 23 & 35 \\\hline 5 & 21 & 32 & 40 \\\hline 6 & 14 & 22 & 31 \\\hline 7 & 12 & 19 & 31 \\\hline 8 & 17 & 21 & 25 \\\hline 9 & 11 & 16 & 24 \\\hline 10 & 8 & 14 & 20 \\\hline 11 & 14 & 24 & 28 \\\hline 12 & 12 & 19 & 25 \\\hline\end{array}$