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. Author manuscript; available in PMC: 2014 Mar 24.
Published in final edited form as: J Am Stat Assoc. 2013 Dec 19;108(504):1173–1188. doi: 10.1080/01621459.2013.810149

Table 1.

Simulation results. For each condition, the estimated lower and upper cut-off values are averages over 1000 simulations, and converted to the original scale of CD4 count. The numbers in parentheses are standard errors.

p φ true values
nonparametric estimate
semiparametric estimate
lower upper TMR lower upper TMR lower upper TMR
(A-1) .15 0 65 65 .15 70 (20) 70 (20) .148 0 (1) 0 (1) .150
.2 0 230 .09 29 (14) 231 (5) .086 0 (0) 230 (5) .086
.4 0 348 .05 25 (13) 349 (6) .051 0 (0) 348 (6) .051
.25 0 125 125 .24 128 (23) 128 (23) .237 79 (25) 79 (25) .240
.2 66 225 .15 71 (21) 228 (9) .152 2 (8) 214 (5) .153
.4 39 333 .09 47 (20) 336 (7) .092 0 (0) 329 (6) .092
.4 0 239 239 .32 240 (28) 240 (28) .327 268 (13) 268 (13) .327
.2 177 288 .23 192 (22) 302 (22) .233 212 (13) 323 (14) .234
.4 149 378 .15 148 (22) 377 (22) .153 153 (14) 382 (14) .152
(A-2) .15 0 130 130 .14 132 (16) 132 (16) .135 35 (23) 35 (23) .147
.2 72 268 .07 71 (20) 268 (6) .075 0 (0) 262 (5) .075
.4 57 373 .04 59 (21) 374 (6) .045 0 (0) 370 (5) .045
.25 0 176 176 .21 178 (17) 178 (17) .209 148 (17) 148 (17) .212
.2 122 270 .13 121 (17) 269 (9) .131 51 (28) 247 (7) .135
.4 98 368 .08 96 (18) 368 (8) .080 1 (3) 351 (5) .083
.4 0 249 249 .29 251 (20) 251 (20) .291 290 (10) 290 (10) .295
.2 200 312 .20 203 (17) 314 (15) .201 236 (11) 345 (11) .204
.4 167 394 .13 169 (18) 396 (15) .130 177 (11) 403 (10) .130

(B-1) .15 0 0 0 .15 27 (15) 27 (15) .150 0 (0) 0 (0) .150
.2 0 220 .10 20 (9) 221 (5) .095 0 (0) 221 (5) .095
.4 0 338 .05 18 (8) 338 (6) .056 0 (0) 338 (6) .055
.25 0 45 45 .25 69 (34) 69 (34) .251 45 (25) 45 (25) .250
.2 0 209 .17 33 (19) 211 (6) .166 0 (2) 209 (5) .165
.4 0 322 .10 26 (14) 323 (6) .100 0 (0) 322 (6) .099
.4 0 259 259 .35 257 (34) 257 (34) .355 259 (15) 259 (15) .353
.2 215 321 .26 206 (28) 312 (29) .259 207 (15) 312 (15) .258
.4 159 379 .17 148 (31) 370 (30) .171 149 (16) 369 (15) .170
(B-2) .15 0 241 241 .13 241 (31) 241 (31) .127 242 (13) 242 (13) .126
.2 99 383 .05 103 (37) 391 (19) .047 97 (20) 386 (11) .047
.4 0 619 .01 38 (19) 622 (14) .011 0 (0) 620 (13) .010
.25 0 344 344 .16 345 (30) 345 (30) .165 345 (10) 345 (10) .164
.2 234 452 .08 237 (22) 455 (25) .082 236 (10) 454 (11) .081
.4 112 577 .03 111 (33) 581 (26) .028 111 (13) 578 (11) .028
.4 0 457 457 .18 458 (30) 458 (30) .184 458 (9) 458 (9) .183
.2 344 564 .10 347 (20) 567 (30) .100 347 (8) 568 (12) .100
.4 237 671 .05 240 (19) 677 (38) .047 239 (8) 676 (13) .046