function: Consider the following population regression Y = B + B X ,8 + B X3...

 

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function: Consider the following population regression Y₁ = B₁ + B₁₂ X ₁₂,8 + B₂ X3 + .. + Bk-1 X k-1,1 + B₂ X kx + U₁ 2,1 kt Using Equation (1), Answer These Questions: (a) Define the Wald-test in equation form, when the null hypothesis, Ho: Pk1= P = 0 (1) is applied to Equation (1). (b) Show that the Wald-test and the F-test-for-overall-fit are identical, when the null hypothesis, Ho: B₂ = P₂ = . = Bk-1 = B = 0. .. is applied to Equation (1). (c) Show that the Wald-test and the simple t-test are identical, when the null hypothesis, Ho: P = 0. is applied to Equation (1). function: Consider the following population regression Y₁ = B₁ + B₁₂ X ₁₂,8 + B₂ X3 + .. + Bk-1 X k-1,1 + B₂ X kx + U₁ 2,1 kt Using Equation (1), Answer These Questions: (a) Define the Wald-test in equation form, when the null hypothesis, Ho: Pk1= P = 0 (1) is applied to Equation (1). (b) Show that the Wald-test and the F-test-for-overall-fit are identical, when the null hypothesis, Ho: B₂ = P₂ = . = Bk-1 = B = 0. .. is applied to Equation (1). (c) Show that the Wald-test and the simple t-test are identical, when the null hypothesis, Ho: P = 0. is applied to Equation (1).

Answer rating: 100% (QA)

a The Waldtest for the null hypothesis Ho BB0 in Equation 1 can be defined as W Bb 0 VarBb where Bb is the estimated value of the coefficient BB VarBb ... View the full answer