MATH 204 - SOLUTIONS 4
For these questions we will use the method of ANOVA-F testing for nested models, and the test statistic
F =
(SSER SSEC )/(k g)
SSEC /(n k 1)
where SSER is the error sum of squares for the Reduced Model, specied using g + 1 parameter
MATH 204 - E XERCISES 3- S OLUTIONS
1.
(a)
The derivative can be obtained using the chain rule; the derivative of the term
(yi 0 1 xi )2
with respect to 0 is
2 (yi 0 1 xi ) (1) = 2(yi 0 1 xi )
whereas the derivative with respect to 1 is
2 (yi 0 1 xi ) (xi
MATH 204 - M ID -T ERM
The three factors are
Factor A: Age Group
Factor B: Therapy
Factor C: City
Response Y : change in cholesterol level.
(i) Summarize the design by nding the numbers of levels of the three factors and the number of replicates. Is
this
MATH 204 - SOLUTIONS 5
For these questions we will use the method of ANOVA-F testing for nested models, and the test statistic
(SSER SSEC )/(k g)
SSEC /(n k 1)
F =
where SSER is the error sum of squares for the Reduced Model, specied using g + 1 parameter