Skip to main content

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.