Consider a $2^{3}$ experiment with factors A, B, and C. Show that [begin{aligned}I N T(A, B, C)

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Consider a $2^{3}$ experiment with factors A, B, and C. Show that

\[\begin{aligned}I N T(A, B, C) & =\frac{1}{2}[I N T(A, C \mid B+)-I N T(A, C \mid B-)] \\& =\frac{1}{2}[I N T(C, B \mid A+)-I N T(C, B \mid A-)] .\end{aligned}\]

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