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ANSC*6370 QG and Animal Models
Fall 03 - Quiz 7

1.

Given

$$E(\hat{\bf b}) = {\bf CX}'{\bf Xb} = \left( \begin{array}{rr... ...t_{1} \\ t_{2} \\ t_{3} \\ w_{1} \\ w_{2} \end{array} \right).$$

Determine if the following function, ${\bf K}'{\bf b}$ is estimable.

$$\left( \begin{array}{rrrrrrrr} 2 & 0 & 2 & 0 & 1 & 1 & 1 & 1 \\ 0 & 1 & -1 & -2 & 1 & 1 & 0 & 0 \end{array} \right){\bf b}.$$

2.

Write out the LS equations directly from the table of numbers below. First number is the number of observations in a subclass and second number is the sum of the observations in that subclass. Margin totals are given.

Tail lengths, mm, of mice caught at cottage.

Sex of mice	YEARS				Row Totals
	2000	2001	2002	2003
Males	12,54	9,42	10,51	9,47	40,194
Females	8,34	11,50	10,46	11,41	40,171
Column Totals	20,88	20,92	20,97	20,88	80,365