Table 6 Simulated type I and II error rates and fixed maximal sample size values under various true values of TPRA, TPRB and prevalence across various levels of conditional dependence (average sample size given in brackets)
From: Sample size re-estimation in paired comparative diagnostic accuracy studies with a binary response
|  | TPRb | TPRa | prev = 0.1 | prev = 0.3 | prev = 0.5 | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Â | Â | Â | Alternative | Null | Fixed | Alternative | Null | Fixed | Alternative | Null | Fixed |
Maximum positive TPPR | 0.5 | 0.6 | 0.979(871) | 0.049(1255) | 7084 | 0.977(289) | 0.05(417) | 2361 | 0.977(172) | 0.048(249) | 1417 |
0.5 | 0.7 | 0.98(434) | 0.047(616) | 1585 | 0.98(143) | 0.047(204) | 528 | 0.978(85) | 0.049(122) | 317 | |
0.5 | 0.8 | 0.986(297) | 0.048(401) | 622 | 0.985(98) | 0.047(133) | 207 | 0.985(58) | 0.048(79) | 124 | |
0.5 | 0.9 | 0.991(232) | 0.048(279) | 303 | 0.99(76) | 0.046(92) | 101 | 0.989(45) | 0.046(54) | 61 | |
0.6 | 0.7 | 0.976(858) | 0.047(1244) | 5505 | 0.975(284) | 0.05(414) | 1835 | 0.975(170) | 0.047(248) | 1101 | |
0.6 | 0.8 | 0.978(431) | 0.048(605) | 1185 | 0.979(142) | 0.049(200) | 395 | 0.976(84) | 0.048(119) | 237 | |
0.6 | 0.9 | 0.984(297) | 0.045(375) | 442 | 0.984(98) | 0.047(124) | 147 | 0.985(58) | 0.046(74) | 88 | |
0.7 | 0.8 | 0.974(846) | 0.048(1222) | 3930 | 0.973(281) | 0.05(410) | 1310 | 0.971(167) | 0.049(245) | 786 | |
0.7 | 0.9 | 0.979(431) | 0.049(575) | 789 | 0.978(142) | 0.046(190) | 263 | 0.976(84) | 0.049(114) | 158 | |
0.8 | 0.9 | 0.971(837) | 0.048(1195) | 2357 | 0.971(277) | 0.051(398) | 786 | 0.97(165) | 0.049(238) | 471 | |
50%TPPR | 0.5 | 0.6 | 0.802(3974) | 0.05(4050) | 7084 | 0.806(1321) | 0.049(1347) | 2361 | 0.8(792) | 0.049(807) | 1417 |
0.5 | 0.7 | 0.82(1013) | 0.048(1082) | 1585 | 0.822(336) | 0.52(358) | 528 | 0.818(200) | 0.05(214) | 317 | |
0.5 | 0.8 | 0.856(462) | 0.049(517) | 622 | 0.854(153) | 0.046(171) | 207 | 0.854(91) | 0.048(102) | 124 | |
0.5 | 0.9 | 0.911(270) | 0.043(298) | 303 | 0.908(89) | 0.046(98) | 101 | 0.905(52) | 0.047(58) | 61 | |
0.6 | 0.7 | 0.809(3175) | 0.049(3277) | 5505 | 0.805(1056) | 0.05(1090 | 1835 | 0.804(633) | 0.049(653) | 1101 | |
0.6 | 0.8 | 0.839(809) | 0.051(891) | 1185 | 0.838(268) | 0.052(295) | 395 | 0.835(160) | 0.052(176) | 237 | |
0.6 | 0.9 | 0.885(371) | 0.046(416) | 442 | 0.888(122) | 0.047(137) | 147 | 0.881(72) | 0.047(82) | 88 | |
0.7 | 0.8 | 0.809(2379) | 0.053(2513) | 3930 | 0.813(792) | 0.052(836) | 1310 | 0.812(474) | 0.053(500) | 786 | |
0.7 | 0.9 | 0.863(607) | 0.05(687) | 789 | 0.868(201) | 0.052(228) | 263 | 0.864(120) | 0.051(136) | 158 | |
0.8 | 0.9 | 0.832(1585) | 0.05(1753) | 2357 | 0.836(528) | 0.051(583) | 786 | 0.832(316) | 0.051(349) | 471 | |
Maximal negative TPPR | 0.5 | 0.6 | 0.796(7105) | 0.05(7109) | 7084 | 0.797(2360) | 0.49(2361) | 2361 | 0.797(1413) | 0.05(1414) | 1417 |
0.5 | 0.7 | 0.812(1608) | 0.047(1609) | 1585 | 0.804(533) | 0.051(534) | 528 | 0.81(318) | 0.05(318) | 317 | |
0.5 | 0.8 | 0.827(639) | 0.05(641) | 622 | 0.829(211) | 0.049(212) | 207 | 0.832(126) | 0.049(126) | 124 | |
0.5 | 0.9 | 0.87(312) | 0.05(317) | 303 | 0.867(103) | 0.048(104) | 101 | 0.868(61) | 0.048(62) | 61 | |
0.6 | 0.7 | 0.798(5522) | 0.05(5519) | 5505 | 0.796(1836) | 0.049(1836) | 1835 | 0.798(1099) | 0.05(1099) | 1101 | |
0.6 | 0.8 | 0.812(1204) | 0.051(1205) | 1185 | 0.0818(399) | 0.051(400) | 395 | 0.812(238) | 0.051(238) | 237 | |
0.6 | 0.9 | 0.844(451) | 0.048(456) | 442 | 0.842(149) | 0.047(151) | 147 | 0.839(89) | 0.047(90) | 88 | |
0.7 | 0.8 | 0.799(3944) | 0.049(3943) | 3930 | 0.806(1311) | 0.049(1311) | 1310 | 0.803(785) | 0.048(785) | 786 | |
0.7 | 0.9 | 0.824(799) | 0.052(803) | 789 | 0.826(265) | 0.05(266) | 263 | 0.824(158) | 0.05(159) | 158 | |
0.8 | 0.9 | 0.806(2366) | 0.052(2368) | 2357 | 0.808(787) | 0.05(788) | 786 | 0.808(471) | 0.051(471) | 471 | |