Topics for Stat 770 In-Class Test, Mon. Apr. 13, 2003
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As discussed in class, the topic coverage for the in-class
test on 4/13/03 is as follows:
(1) Definitions of Hypotheses and Parameters, test statistics and CI's
for 2X2 Tables. (Notion of test-based CI was also extensively used in
class.) Typical test question might be to construct Wald-type CI's for
risk-difference, relative risk, or odds-ratio parameters, or to use
displayed or tabulated statistic values for various null-hypothetical
parameter values to define test-based interval.
(2) Chi-Square (X^2) and Likelihood-Ratio Tests for Independence in
contingency tables. Typical test question might be to give and justify
the large-sample behavior (by appealing to standard theorems) of
hypothesis test of independence or partial independence within IxJ
table.
(3) GLM definitions, setting up hypotheses. Typical test question
might be to define a model and hypothesis test for a qualtitative
hypothesis like constant odds ratio across 2x2xK tables in terms of
GLM parameters, and to specify the alternative against which the test
gives power.
(4) SAS implementation, outputs for all of above. Typical test
question might be to interpret a GLM output giving deviances for a
GLM model-fit.
(5) Newton-Raphson Fisher Scoring, IRLS (Iteratively re-weighted least
squares) for GLM Log-likehihood. Test question might be to specify the
difference between these (in formulas) or to calculate an iteration
for each one by hand in a simple explicit GLM case.
A SAMPLE TEST WILL BE DISTRIBUTED AROUND APRIL 8.