Table 2.
Summary Statistics of the Simulation Studies
Z ~ poisson(10) |
Z ~ gamma(2, 5) |
|||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
(α, β) | Bα | Vα | Bβ | Vβ | ρ | Vβ* | Bα | Vα | Bβ | Vβ | ρ | Vβ* | ||
Scenario I: λ0(t) = 1/10, h0(t) = t/400 | ||||||||||||||
n = 200 | ||||||||||||||
(0, 0) | 0 | 181 | −3 | 383 | .43 | .383 | 334 | 4 | 274 | −4 | 438 | .61 | .584 | 331 |
(−1, −1.5) | −8 | 255 | −25 | 487 | .49 | −1.228 | 406 | −5 | 277 | −25 | 484 | .50 | −.769 | 395 |
n = 500 | ||||||||||||||
(0, 0) | −3 | 151 | −1 | 243 | .58 | .244 | 191 | 7 | 199 | 21 | 283 | .67 | .599 | 207 |
(−1, −1.5) | 0 | 176 | −6 | 307 | .54 | −1.211 | 249 | −13 | 212 | −1 | 324 | .63 | −.752 | 244 |
Scenario II: λ0(t) = (t + 1)/60, | ||||||||||||||
n = 200 | ||||||||||||||
(0, 0) | −13 | 412 | 2 | 496 | .75 | .211 | 305 | 17 | 511 | 23 | 608 | .83 | .539 | 319 |
(−1, −1.5) | −38 | 422 | −44 | 558 | .64 | −1.253 | 400 | −51 | 553 | −17 | 681 | .78 | −.846 | 410 |
n = 500 | ||||||||||||||
(0, 0) | 10 | 243 | 15 | 303 | .72 | .208 | 197 | 4 | 358 | 16 | 399 | .86 | .538 | 192 |
(−1, −1.5) | −23 | 287 | −16 | 373 | .71 | −1.246 | 246 | −18 | 369 | −15 | 445 | .81 | −.822 | 246 |
NOTE: Bα and Bβ are the empirical bias (× 1,000) of and Vα and Vβ are the empirical standard error (× 1,000) of and ρ is the empirical correlation coefficient of and Avg is the empirical average and Vβ, is the empirical standard error (× 1,000) of the estimator based on the Cox proportional hazards model.