February 2007
Beginner to intermediate
464 pages
16h
English
book
Pharmaceutical Statistics Using SAS
by Ph. D. Alex Dmitrienko, Ph. D. Christy Chuang-Stein, Sr. Ralph B. D'Agostino
Content preview from Pharmaceutical Statistics Using SAS
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10.9. Table of Crucial Error Rates
Table 10.6 shows how α* and β* depend on γ, α and β. Type I errors are more frequent early in the March of Science (low γ), whereas Type II errors are more frequent later in the March. Reducing either α or β reduces both α* and β*. Note also that when γ = 0.50 and α = β, then α =α* = β = β*.
| γ : Pr[H0 false] | Power | β | α*: Pr[H0 true | p ≤ α] | β*: Pr[H0 false | p > α] | ||||||
|---|---|---|---|---|---|---|---|---|---|---|
| α: 0.01 | 0.05 | 0.10 | 0.20 | α: 0.01 | 0.05 | 0.10 | 0.20 | |||
| 0.05 | 0.30 | 0.70 | .388 | .760 | .864 | .927 | .036 | .037 | .039 | .044 |
| 0.50 | 0.50 | .275 | .655 | .792 | .884 | .026 | .027 | .028 | .032 | |
| 0.70 | 0.30 | .213 | .576 | .731 | .844 | .016 | .016 | .017 | .019 | |
| 0.80 | 0.20 | .192 | .543 | .704 | .826 | .011 | .011 | .012 | .013 | |
| 0.90 | 0.10 | .174 | .514 | .679 | .809 | .005 | .006 | .006 | .007 | |
| 0.95 | 0.05 | .167 | .500 | .667 | .800 | .003 | ||||
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