Question: For T categorical variables X 1 ,..., X T , explain why: a. G 2 (X 1 , X 2 ,..., X T ) =

For T categorical variables X1,..., XT, explain why:

a. G2(X1, X2,..., XT) = G2(X1, X2) + G2(X1 X2, X3) + ... + G2 (X1­ X2 ... XT – 1, XT).

b. G2(X1 ... XT–1, XT) = G2(X1, XT) + G2(X1 XT, X1 X2) + ... + G2 (X1 X2 ... XT – 1, X1 X2 ... XT – 2 XT).

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