According to Malinvaud (see footnote 11), the assumption that E(u i | X i ) = 0
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According to Malinvaud (see footnote 11), the assumption that E(ui | Xi) = 0 is quite important. To see this, consider the PRF: Y = β1 + β2Xi + ui . Now consider two situations:
(i) β1 = 0, β2 = 1, and E(ui ) = 0;
(ii) β1 = 1, β2 = 0, and E(ui ) = (Xi − 1).
Now take the expectation of the PRF conditional upon X in the two preceding cases and see if you agree with Malinvaud about the significance of the assumption E(ui | Xi ) = 0.
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