User:EGM6321.f09.Team3.cgs/Misc

$$ Blocks$$

$$ \frac{1}{ab}\sum_ky_{..k}^2-\frac{y_{...}^2}{abn}$$

$$\sigma^2+ab\sigma_\delta^2$$

$$ A$$

$$\frac{1}{bn}\sum_iy_{i..}^2-\frac{y_{...}^2}{abn} $$

$$\sigma^2+\frac{bn\sum\tau_i^2}{a-1}$$

$$ \frac{MS_A}{MS_E}$$

$$ B\qquad $$

$$\frac{1}{an}\sum_jy_{.j.}^2-\frac{y_{...}^2}{abn}$$

$$\sigma^2+\frac{an\sum\beta_j^2}{b-1}$$ $$ \frac{MS_B}{MS_E} $$

$$ AB\qquad $$

$$\frac{1}{n}\sum_i\sum_jy_{ij.}^2-\frac{y_{...}^2}{abn}-SS_A-SS_B$$

$$\sigma^2+\frac{n\sum\sum(\tau\beta)_{ij}^2}{(a-1)(b-1)}$$

$$ \frac{MS_{AB}}{MS_E} $$

Error

Subtraction

$$ \sigma^2$$

$$ \sum_i\sum_j\sum_k y_{ijk}^2-\frac{y_{...}^2}{abn} $$