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. 2012 Mar 30;99(2):363–378. doi: 10.1093/biomet/ass008

Table 1.

Estimated standard deviations of the parameter estimators under the density ratio model, size and power of the likelihood ratio tests under the nominal level of 1 and 5%

Full likelihood Conditional likelihood
Standard deviation Rf : χ2-test Standard deviation Rc : χ2-test
Cens. α̂u β̂ 1% 5% α̃u β̃ 1% 5%
αu = β = 0, n0 = n 1 = 50
15% 0.17 0.17 1.4 6.5 0.20 0.19 1.1 6.3
25% 0.18 0.17 1.2 5.8 0.22 0.21 0.8 5.6
43% 0.19 0.18 1.4 5.6 0.31 0.30 1.2 6.8
αu = β = 0, n0 = n 1 = 100
15% 0.11 0.11 1.5 6.4 0.12 0.12 0.8 5.6
25% 0.11 0.11 1.3 6.0 0.14 0.14 1.0 4.8
43% 0.12 0.12 1.5 6.2 0.19 0.19 1.0 6.0
αu = −0.405, β = 0.333, n0 = n1 = 50
15% 0.21 0.15 58.6 79.6 0.23 0.17 41.1 66.1
25% 0.21 0.15 54.1 75.4 0.25 0.18 35.4 60.1
43% 0.23 0.16 38.6 59.6 0.33 0.25 20.0 41.8
αu = −0.405, β = 0.333, n0 = n1 = 100
15% 0.13 0.10 91.0 97.5 0.15 0.11 81.8 93.5
25% 0.15 0.11 87.2 94.8 0.16 0.12 68.0 87.6
43% 0.15 0.11 62.8 73.8 0.21 0.16 41.5 67.3