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(a) Sistema originale:<br />

Yi = β0 + β1X1i + β2X2i + ui<br />

H0: β1 = β2 vs. H1: β1 ≠ β2<br />

(b)Transformato sistema:<br />

Yi = β0 + γ1 X1i + β2Wi + ui<br />

dove γ1 = β1 – β2 e Wi = X1i + X2i<br />

H0: γ1 = 0 vs. H1: γ1 ≠ 0<br />

Il nostro test diventa γ1 = 0 nella specificatione (b).<br />

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