Source of

Variation

DF

SS

MS

EMS

Patient

a − 1

$S{S}_A={\displaystyle {\sum }_{i=1}^{a}n{\left(m_i-M\right)}^2}$

$M{S}_A=\frac{S{S}_A}{a-1}$

$n{{{\displaystyle \sum }}^{\text{}}}^2+{\sigma }^2$

Within

Patient

a (n − 1)

$S{S}_E={\displaystyle {\sum }_i^a{\displaystyle {\sum }_{j=1}^{n}n{\left(x_{ij}-m_i\right)}^2}}$

$M{S}_E=\frac{S{S}_E}{a\left(n-1\right)}$

${\sigma }^2$

Total

an − 1

$S{S}_T={\displaystyle {\sum }_i^a{\displaystyle {\sum }_{j=1}^{n}n{\left(x_{ij}-M\right)}^2}}$

$M{S}_T=\frac{S{S}_T}{an-1}$