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Table 5 Comparison of estimation of two-locus recombination fraction for 300 two-offspring families by the unrestricted method and the REM

From: Maximum likelihood estimates of two-locus recombination fractions under some natural inequality restrictions

  Parameters SD rSDb    
Scenarioa θ AB θ BC θ AC θ ^ A B R MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaacciGaf8hUdeNbaKaadaqhaaWcbaGaemyqaeKaemOqaieabaGaemOuaifaaaaa@3112@ θ ^ B C R MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaacciGaf8hUdeNbaKaadaqhaaWcbaGaemOqaiKaem4qameabaGaemOuaifaaaaa@3116@ θ ^ A C R MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaacciGaf8hUdeNbaKaadaqhaaWcbaGaemyqaeKaem4qameabaGaemOuaifaaaaa@3114@ θ ^ A B U MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaacciGaf8hUdeNbaKaadaqhaaWcbaGaemyqaeKaemOqaieabaGaemyvaufaaaaa@3118@ θ ^ B C U MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaacciGaf8hUdeNbaKaadaqhaaWcbaGaemOqaiKaem4qameabaGaemyvaufaaaaa@311C@ θ ^ A C U MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaacciGaf8hUdeNbaKaadaqhaaWcbaGaemyqaeKaem4qameabaGaemyvaufaaaaa@311A@ MAEc rMAEd KK e
CC 0.05 0.05 0.06 0.0089 0.0088 0.0095 1.0606 1.0790 1.1170 0.0072 1.0434 220
    0.075 0.0090 0.0092 0.0114 1.0029 1.0033 1.0187 0.0078 1.0043 6
    0.09 0.0091 0.0093 0.0127 1.0020 1.0022 1.0274 0.0083 1.0062 84
CM 0.05 0.15 0.16 0.0093 0.0180 0.0177 1.0007 1.0603 1.0560 0.0119 1.0223 183
    0.175 0.0091 0.0182 0.0195 1.0007 1.0168 1.0562 0.0124 1.0140 34
    0.19 0.0094 0.0183 0.0209 1.0012 1.0122 1.1352 0.0128 1.0299 197
CL 0.05 0.35 0.36 0.0095 0.0463 0.0481 1.0008 4.2411 1.4711 0.0272 1.2941 502
    0.375 0.0090 0.0464 0.0482 1.0009 4.2875 1.6143 0.0272 1.3343 487
    0.39 0.0093 0.0445 0.0467 1.0006 3.8670 1.7417 0.0267 1.3462 518
MM 0.15 0.15 0.16 0.0156 0.0168 0.0168 1.2658 1.1893 1.2115 0.0131 1.0956 451
    0.225 0.0181 0.0176 0.0239 1.0078 1.0080 1.0863 0.0159 1.0174 1
    0.29 0.0174 0.0187 0.0261 1.0117 1.0098 1.6503 0.0166 1.1165 343
ML 0.15 0.35 0.36 0.0177 0.0452 0.0514 1.0024 5.1260 1.4805 0.0298 1.3264 419
    0.425 0.0179 0.0459 0.0504 1.0071 5.0395 1.5690 0.0311 1.3790 297
    0.49 0.0179 0.0410 0.0584 1.0167 4.9795 1.3348 0.0303 1.2595 304
LL 0.35 0.35 0.36 0.0390 0.0373 0.0454 2.0082 6.4504 1.5975 0.0319 1.4403 604
    0.425 0.0454 0.0436 0.0498 1.4563 4.3277 1.5612 0.0378 1.2931 278
    0.49 0.0460 0.0465 0.0577 1.3683 4.5456 1.4778 0.0375 1.3018 216
  1. aScenario: see Table 4 for the explanation;
  2. b rSD = SD ( θ ^ i U ) / SD ( θ ^ i R ) MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaGaeeOCaiNaee4uamLaeeiraqKaeyypa0Jaee4uamLaeeiraqKaeiikaGIafqiUdeNbaKaadaqhaaWcbaGaemyAaKgabaGaemyvaufaaOGaeiykaKIaei4la8Iaee4uamLaeeiraqKaeiikaGIafqiUdeNbaKaadaqhaaWcbaGaemyAaKgabaGaemOuaifaaOGaeiykaKcaaa@4252@ , i = AB, BC, AC;
  3. c MAE = l = 1 1000 ( | θ ^ A B l R θ A B | + | θ ^ B C l R θ B C | + | θ ^ A C l R θ A C | ) / 3000 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaGaeeyta0KaeeyqaeKaeeyrauKaeyypa0ZaaabCaeaacqGGOaakcqGG8baFiiGacuWF4oqCgaqcamaaDaaaleaacqWGbbqqcqWGcbGqcqWGSbaBaeaacqWGsbGuaaGccqGHsislcqWF4oqCdaWgaaWcbaGaemyqaeKaemOqaieabeaakiabcYha8jabgUcaRiabcYha8jqb=H7aXzaajaWaa0baaSqaaiabdkeacjabdoeadjabdYgaSbqaaiabdkfasbaakiabgkHiTiab=H7aXnaaBaaaleaacqWGcbGqcqWGdbWqaeqaaOGaeiiFaWNaey4kaSIaeiiFaWNaf8hUdeNbaKaadaqhaaWcbaGaemyqaeKaem4qamKaemiBaWgabaGaemOuaifaaOGaeyOeI0Iae8hUde3aaSbaaSqaaiabdgeabjabdoeadbqabaGccqGG8baFcqGGPaqkcqGGVaWlcqaIZaWmcqaIWaamcqaIWaamcqaIWaamaSqaaiabdYgaSjabg2da9iabigdaXaqaaiabigdaXiabicdaWiabicdaWiabicdaWaqdcqGHris5aaaa@6D37@ : the mean absolute error of θ ^ R MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaacciGaf8hUdeNbaKaadaahaaWcbeqaaiabdkfasbaaaaa@2EFA@ ;
  4. drMAE = MAE( θ ^ U MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaacciGaf8hUdeNbaKaadaahaaWcbeqaaiabdwfavbaaaaa@2F00@ )/MAE( θ ^ R MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaacciGaf8hUdeNbaKaadaahaaWcbeqaaiabdkfasbaaaaa@2EFA@ );
  5. eKK: number for which the unrestricted method gives unreasonable estimates based on all 1000 replicates.