If the variables Xij (j = 1,...,ni;i = 1,...,s) are independently distributed as N(i, 2), then E

If the variables Xij (j = 1,...,ni;i = 1,...,s) are independently distributed as N(µi, σ2), then E

#ni (Xi· − X··)

2

$

= (s − 1)σ2 +ni (µi − µ·)

2 , E

#(Xij − Xi·)

2

$

= (n − s)σ2

.