Source of variation

DF

Fixed vs. random effects

Case 1

Case 2

Case 3

Case 4

Case 5

CLT

g − 1

Random

Fixed

Fixed

Random

Fixed

LC

l − 1

Random

Fixed

Random

Fixed

Fixed

YR

y − 1

Random

Fixed

Random

Random

Random

RP(LC*YR)

(r − 1)ly

Random

Random

Random

Random

Random

CLT*LC

(g − 1)(l − 1)

Random

Fixed

Random

Random

Fixed

CLT*YR

(g − 1)(y − 1)

Random

Fixed

Random

Random

Random

LC*YR

(l − 1)(y − 1)

Random

Fixed

Random

Random

Random

CLT*LC*YR

(g − 1)(l − 1) (y − 1)

Random

Fixed

Random

Random

Random

Pooled error

(r − 1)(g − 1)ly