Variation

Source

Degree of

FreedomDf

Sum of Squares

SS

Mean Square

MS

Fisher Ratio

F-value

Error of residuals

n − 2

S S E = i = 1 c j = 1 n i ( y i j y ^ i j ) 2

M S E = S S E n 2

Regression

1

S S R = i = 1 c j = 1 n i ( y ^ i j y ¯ ) 2

M S R = S S R 1

F = M S R M S E

Lack of fit

C − 2

S S L F i = i = 1 c j = 1 n i ( y ¯ i j y ^ i j ) 2

M S L F = S S L F c 2

F * = M S L F M S P E

Total

n − 1

S S T D = i = 1 c j = 1 n i ( y i j y ¯ i j ) 2

-

-