You are not currently logged in.
Access your personal account or get JSTOR access through your library or other institution:
Establishing χ2 Properties of Sums of Squares Using Induction
Shayle R. Searle and Friedrich Pukelsheim
The American Statistician
Vol. 39, No. 4, Part 1 (Nov., 1985), pp. 301-303
Stable URL: http://www.jstor.org/stable/2683710
Page Count: 3
Preview not available
The between-classes sum of squares in a between- and within-classes analysis of variance has, under normality, a χ2 distribution. Although "substantial mathematical machinery" (Stigler 1984) is often used in classroom derivation of this distribution, it can be avoided by using induction and independence properties of standard normal variables. This is the derivation given here for unequal subclass numbers data. Independence of the between- and within-classes sums of squares is also shown.
The American Statistician © 1985 American Statistical Association