Let there be q joint hypothesis to be tested. Then the dimension of r in the expression $R \beta = r$ is
A) $q \times 1$
B) $q \times ( k + 1 )$
C) $( k + 1 ) \times 1$
D) $q .$

Question

Let there be  q  joint hypothesis to be tested. Then the dimension of r  in the expression $R \beta = r$ is
A) $q \times 1$
B) $q \times ( k + 1 )$
C) $( k + 1 ) \times 1$
D) $q .$

Quizplus · Accepted Answer

The dimension of $ r $ in the expression $ R \beta = r $ is $ q \times 1 $ because $ r $ is a vector of constants corresponding to the $ q $ joint hypotheses being tested.

Let There Be Q Joint Hypothesis to Be Rβ=rR \beta = rRβ=r

Let There Be Q Joint Hypothesis to Be $R \beta = r$