TABLE I.

Repeated measure ANOVA table

Source	Degrees of freedom	Sum-of-squares	Mean sum-of-squares
Group	1	$S{S}_G=n\underset{h=0}{\overset{1}{\Sigma }}{N}_h{\left({\overline{y}}_h\mathrm{..}-{\overline{y}}_{\dots }\right)}^2$	$M{S}_G=S{S}_G$
Time	n − 1	$S{S}_T=N(\underset{j=1}{\overset{\mathrm{n}}{\Sigma }}{\left({\overline{y}}_{\mathrm{..}j}-{\overline{y}}_{\dots }\right)}^2)$	$M{S}_T=\frac{S{S}_T}{n-1}$
Group×Time	n − 1	$S{S}_{GT}=n\underset{h=0}{\overset{1}{\Sigma }}\underset{j=1}{\overset{n}{\Sigma }}{N}_h{\left({\overline{y}}_{h,j}-{\overline{y}}_{h\mathrm{..}}-{\overline{y}}_{\mathrm{..}j}+{\overline{y}}_{\dots }\right)}^2$	$M{S}_{GT}=\frac{S{S}_{GT}}{n-1}$
Individuals in Group	N* − 2	$S{S}_{S\left(G\right)}=n\underset{h=0}{\overset{1}{\Sigma }}\underset{i=1}{\overset{N_h}{\Sigma }}{\left({\overline{y}}_{hi\cdot }-{\overline{y}}_{h\cdot \cdot }\right)}^2$	$M{S}_{S\left(G\right)}=\frac{S{S}_{S\left(G\right)}}{N-2}$
Residuals	(N − 2) × (n − 1)	$SSE=\underset{h=0}{\overset{1}{\Sigma }}\underset{i=1}{\overset{N_h}{\Sigma }}\underset{j=1}{\overset{n}{\Sigma }}{\left(y_{hij}-{\overline{y}}_{h.j}-{\overline{y}}_{hi.}+{\overline{y}}_{h\cdot \cdot }\right)}^2$	$MSE=\frac{SSE}{\left(N-2\right)\times \left(n-1\right)}$
Total	Nn − 1	$S{S}_y=\underset{h=0}{\overset{1}{\Sigma }}\underset{i=1}{\overset{N_h}{\Sigma }}\underset{j=1}{\overset{n}{\Sigma }}{\left(y_{hij}-{\overline{y}}_{\dots }\right)}^2$	$M{S}_y=\frac{S{S}_y}{Nn-1}$

^*${\Sigma }_{h=0}^1{N}_h=N$ denotes the total number of participants in the experiment.