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ANSC*6370 QG and Animal Models
Fall 03 - Quiz 6 - Answers

1.

Fill in the information for the Basic AOV Table below.

Source	df	SS
Total	N	${\bf y}'{\bf y}$
Mean	1	${\bf y}'{\bf 11}'{\bf y}/N$
Model	$r({\bf X})$	$\hat{\bf b}'{\bf X}'{\bf y}$
Error	$N-r({\bf X})$	SST-SSR

2.

What assumptions about distributions need to be made?

${\bf y}$ must be normally distributed for conducting hypothesis tests.

3.

Give the formula for the statistic, s, for the general linear hypothesis and its degrees of freedom.

$$s = ({\bf H}'_{o}\hat{\bf b}-{\bf c}_{o})' ({\bf H}'_{o}{\bf C}{\bf H}_{o})^{-1} ({\bf H}'_{o}\hat{\bf b}-{\bf c}_{o})$$

Degrees of Freedom = $r({\bf H}_{o})$.