Statistical genetics of quantitative traits: linkage, maps, and QTL
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer
2007
|
| Schriftenreihe: | Statistics for biology and health
|
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBR01 UBT01 UPA01 Volltext Inhaltsverzeichnis |
| Beschreibung: | 1 Online-Ressource (XVI, 365 S.) |
| ISBN: | 9780387203348 9780387681542 |
| DOI: | 10.1007/978-0-387-68154-2 |
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Datensatz im Suchindex
| _version_ | 1804136772061364224 |
|---|---|
| adam_text | Contents
1 Basic Genetics 1
1.1 Introduction 1
1.2 Genes and Chromosomes 1
1.3 Meiosis 2
1.4 Mendel s Laws 3
1.4.1 Mendel s First Law 3
1.4.2 Mendel s Second Law 4
1.5 Linkage and Mapping 5
1.6 Interference 8
1.7 Quantitative Genetics 8
1.7.1 Population Properties of Genes 8
1.7.2 A General Quantitative Genetic Model 9
1.7.3 Genetic Models for the Backcross and F2 Design 10
1.7.4 Epistatic Model 12
1.7.5 Heritability and Its Estimation 12
1.7.6 Genetic Architecture 14
1.7.7 The Estimation of Gene Number 15
1.8 Molecular Genetics 16
1.9 SNP 18
1.10 Exercises 20
1.11 Note 20
1.11.1 Modeling Unequal Genetic Effects by the Gamma Function ... 21
1.11.2 Modeling Unequal Genetic Effects by a Geometric Series 22
2 Basic Statistics 25
2.1 Introduction 25
2.1.1 Populations and Models 25
2.1.2 Samples 27
2.2 Likelihood Estimation 27
2.3 Hypothesis Testing 31
2.3.1 The Pearson Chi Squared Test 31
XII Contents
2.3.2 Likelihood Ratio Tests 33
2.3.3 Simulation Based Approach 37
2.3.4 Bayesian Estimation 38
2.4 Exercises 40
3 Linkage Analysis and Map Construction 43
3.1 Introduction 43
3.2 Experimental Design 44
3.3 Mendelian Segregation 45
3.3.1 Testing Marker Segregation Patterns 45
3.4 Segregation Patterns in a Full Sib Family 46
3.5 Two Point Analysis 49
3.5.1 Double Backcross 50
3.5.2 Double Intercross F2 52
3.6 Three Point Analysis 56
3.7 Multilocus Likelihood and Locus Ordering 58
3.8 Estimation with Many Loci 61
3.9 Mixture Likelihoods and Order Probabilities 62
3.10 Map Functions 63
3.10.1 Mather s Formula 64
3.10.2 The Morgan Map Function 65
3.10.3 The Haldane Map Function 65
3.10.4 The Kosambi Map Function 66
3.11 Exercises 69
3.12 Notes: Algorithms and Software for Map Construction 71
4 A General Model for Linkage Analysis in Controlled Crosses .... 77
4.1 Introduction 77
4.2 Fully Informative Markers: A Diplotype Model 78
4.2.1 Two Point Analysis 78
4.2.2 A More General Formulation 81
4.2.3 Three Point Analysis 82
4.2.4 A More General Formulation 86
4.3 Fully Informative Markers: A Genotype Model 88
4.3.1 Parental Diplotypes 88
4.4 Joint modeling of the Linkage, Parental Diplotype, and Gene Order. . 91
4.5 Partially Informative Markers 96
4.5.1 Joint modeling of the Linkage and Parental Diplotype 96
4.5.2 Joint modeling of the Linkage, Parental Diplotype,
and Gene Order 98
4.6 Exercises 99
4.6.1 One dominant marker 100
4.6.2 One dominant marker and one F2 codominant marker 100
4.7 Notes 101
4.7.1 Linkage Analysis 101
Contents XIII
4.7.2 The Diplotype Probability 102
4.7.3 Gene Order 105
4.7.4 M Point Analysis 106
5 Linkage Analysis with Recombinant Inbred Lines 107
5.1 Introduction 107
5.2 RILs by Selfing 107
5.2.1 Two Point Analysis 107
5.2.2 Three Point Analysis Ill
5.3 RILs by Sibling Mating 117
5.3.1 Two point Analysis 117
5.3.2 Three point Analysis 118
5.4 Bias Reduction 118
5.4.1 RILs by Selfing 118
5.4.2 RILs by Sibling Mating 119
5.5 Multiway RILs 120
5.6 Exercises 120
5.7 Note 122
6 Linkage Analysis for Distorted and Misclassified Markers 123
6.1 Introduction 123
6.2 Gametic Differential Viability 123
6.2.1 One Gene Model 123
6.2.2 Two Gene Model 127
6.2.3 Simulation 130
6.3 Zygotic Differential Viability 132
6.3.1 One Gene Model 132
6.3.2 Two Gene Model 133
6.3.3 Simulation 134
6.4 Misclassification 134
6.4.1 One gene Model 134
6.4.2 Two Gene Model 138
6.5 Simulation 141
6.6 Exercises 142
7 Special Considerations in Linkage Analysis 145
7.1 Introduction 145
7.2 Linkage Analysis with a Complicated Pedigree 145
7.2.1 A Nuclear Family 145
7.2.2 Multipoint Estimation of Identical By Descent Sharing 149
7.2.3 A Complex Pedigree 150
7.3 Information Analysis of Dominant Markers 160
7.3.1 Introduction 160
7.3.2 Segregation Analysis 161
7.3.3 Linkage Analysis 165
XIV Contents
7.4 Exercises 168
8 Marker Analysis of Phenotypes 171
8.1 Introduction 171
8.2 QTL Regression Model 172
8.3 Analysis at the Marker 174
8.3.1 Two Sample t Test 174
8.3.2 Analysis of Variance 176
8.3.3 Genetic Analysis 179
8.4 Moving Away from the Marker 181
8.4.1 Likelihood 181
8.5 Power Calculation 184
8.6 Marker Interaction Analysis 188
8.6.1 ANOVA 188
8.6.2 Genetic Analysis 192
8.7 Whole Genome Marker Analysis 195
8.8 Exercises 198
9 The Structure of QTL Mapping 203
9.1 Introduction 203
9.2 The Mixture Model 204
9.2.1 Formulation 204
9.2.2 Structure, Setting, and Estimation 206
9.3 Population Genetic Structure of the Mixture Model 207
9.3.1 Backcross/F2 207
9.3.2 Outbred Crosses 208
9.3.3 Recombinant Inbred Lines 208
9.3.4 Natural Populations 208
9.4 Quantitative Genetic Structure of the Mixture Model 208
9.4.1 Additive Dominance Model 209
9.4.2 Additive Dominance Epistasis Model 210
9.4.3 Multiplicative Epistatic Model 211
9.4.4 Mechanistic Model 212
9.5 Experimental Setting of the Mixture Model 213
9.6 Estimation in the Mixture Model 214
9.7 Computational Algorithms for the Mixture Model 216
9.7.1 EM Algorithm 216
9.7.2 Monte Carlo EM 216
9.7.3 Stochastic EM 217
9.7.4 An EM Algorithm/Newton Raphson Hybrid 217
9.7.5 Some Cautions 218
9.7.6 Bayesian Methods 218
9.7.7 Estimating the Number of Components in a Mixture Model. . . 220
9.8 Exercises 221
Contents XV
10 Interval Mapping with Regression Analysis 223
10.1 Introduction 223
10.2 Linear Regression Model 224
10.3 Interval Mapping in the Backcross 224
10.3.1 Conditional Probabilities 224
10.3.2 Conditional Regression Model 226
10.3.3 Estimation and Test 228
10.4 Interval Mapping in an F2 230
10.5 Remarks 233
10.6 Exercises 234
11 Interval Mapping by Maximum Likelihood Approach 237
11.1 Introduction 237
11.2 QTL Interval Mapping in a Backcross 238
11.2.1 The Likelihood 238
11.2.2 Maximizing the Likelihood 240
11.3 Hypothesis Testing 246
11.3.1 Model for Incorporating Double Recombination 252
11.3.2 Model for Incorporating Interference 252
11.4 QTL Interval Mapping in an F2 254
11.4.1 No Double Recombination 254
11.4.2 Independence 257
11.4.3 Interference 260
11.4.4 Testing Hypotheses 262
11.5 Factors That Affect QTL Detection 262
11.6 Procedures for QTL Mapping 263
11.6.1 The Number of QTLs 263
11.6.2 Locations of Individual QTLs 266
11.7 Exercises 267
12 Threshold and Precision Analysis 269
12.1 Introduction 269
12.2 Threshold Determination 270
12.2.1 Background 270
12.2.2 Analytical Approximations 271
12.2.3 Simulation Studies 275
12.2.4 Permutation Tests 275
12.2.5 A Quick Approach 276
12.2.6 A Score Statistic 277
12.3 Precision of Parameter Estimation 279
12.3.1 Asymptotic Variance Covariance Matrix 279
12.3.2 Simulation Studies 282
12.4 Confidence Intervals for the QTL Location 283
12.5 Exercises 285
XVI Contents
13 Composite QTL Mapping 287
13.1 Introduction 287
13.2 Composite Interval Mapping for a Backcross 288
13.2.1 The Likelihood 288
13.2.2 Maximizing the Likelihood 289
13.2.3 Hypothesis Testing 290
13.3 Composite Interval Mapping for an F2 291
13.4 A Statistical Justification of Composite Interval Mapping 293
13.4.1 Conditional Marker (Co)variances 293
13.4.2 Conditional QTL Variance 295
13.4.3 Marker Selection 298
13.5 Comparisons Between Composite Interval Mapping and Interval
Mapping 298
13.6 Multiple Interval Mapping 301
13.7 Exercises 302
14 QTL Mapping in Outbred Pedigrees 303
14.1 Introduction 303
14.2 A Fixed Effect Model for a Full Sib Family 304
14.2.1 Introduction 304
14.2.2 A Mixture Model for a Parental Diplotype 304
14.2.3 Quantitative Genetic Model 308
14.2.4 Likelihood Analysis 309
14.2.5 Fitting Marker Phenotypes 312
14.2.6 Hypothesis Tests 313
14.2.7 The Influence of Linkage Phases 316
14.3 Random Effect Mapping Model for a Complicated Pedigree 317
14.3.1 Introduction 317
14.3.2 Statistical Model 319
14.3.3 IBD at a QTL 320
14.3.4 The Likelihood 321
14.3.5 Hypothesis Testing 323
14.4 Exercises 325
A General Statistical Results and Algorithms 331
A.I Likelihood Asymptotics 331
A.2 General Form of the EM Algorithm 332
B R Programs 335
B.I Chapter 2 335
B.2 Chapter 8 337
C References 343
Author Index 355
Subject Index 361
|
| adam_txt |
Contents
1 Basic Genetics 1
1.1 Introduction 1
1.2 Genes and Chromosomes 1
1.3 Meiosis 2
1.4 Mendel's Laws 3
1.4.1 Mendel's First Law 3
1.4.2 Mendel's Second Law 4
1.5 Linkage and Mapping 5
1.6 Interference 8
1.7 Quantitative Genetics 8
1.7.1 Population Properties of Genes 8
1.7.2 A General Quantitative Genetic Model 9
1.7.3 Genetic Models for the Backcross and F2 Design 10
1.7.4 Epistatic Model 12
1.7.5 Heritability and Its Estimation 12
1.7.6 Genetic Architecture 14
1.7.7 The Estimation of Gene Number 15
1.8 Molecular Genetics 16
1.9 SNP 18
1.10 Exercises 20
1.11 Note 20
1.11.1 Modeling Unequal Genetic Effects by the Gamma Function . 21
1.11.2 Modeling Unequal Genetic Effects by a Geometric Series 22
2 Basic Statistics 25
2.1 Introduction 25
2.1.1 Populations and Models 25
2.1.2 Samples 27
2.2 Likelihood Estimation 27
2.3 Hypothesis Testing 31
2.3.1 The Pearson Chi Squared Test 31
XII Contents
2.3.2 Likelihood Ratio Tests 33
2.3.3 Simulation Based Approach 37
2.3.4 Bayesian Estimation 38
2.4 Exercises 40
3 Linkage Analysis and Map Construction 43
3.1 Introduction 43
3.2 Experimental Design 44
3.3 Mendelian Segregation 45
3.3.1 Testing Marker Segregation Patterns 45
3.4 Segregation Patterns in a Full Sib Family 46
3.5 Two Point Analysis 49
3.5.1 Double Backcross 50
3.5.2 Double Intercross F2 52
3.6 Three Point Analysis 56
3.7 Multilocus Likelihood and Locus Ordering 58
3.8 Estimation with Many Loci 61
3.9 Mixture Likelihoods and Order Probabilities 62
3.10 Map Functions 63
3.10.1 Mather's Formula 64
3.10.2 The Morgan Map Function 65
3.10.3 The Haldane Map Function 65
3.10.4 The Kosambi Map Function 66
3.11 Exercises 69
3.12 Notes: Algorithms and Software for Map Construction 71
4 A General Model for Linkage Analysis in Controlled Crosses . 77
4.1 Introduction 77
4.2 Fully Informative Markers: A Diplotype Model 78
4.2.1 Two Point Analysis 78
4.2.2 A More General Formulation 81
4.2.3 Three Point Analysis 82
4.2.4 A More General Formulation 86
4.3 Fully Informative Markers: A Genotype Model 88
4.3.1 Parental Diplotypes 88
4.4 Joint modeling of the Linkage, Parental Diplotype, and Gene Order. . 91
4.5 Partially Informative Markers 96
4.5.1 Joint modeling of the Linkage and Parental Diplotype 96
4.5.2 Joint modeling of the Linkage, Parental Diplotype,
and Gene Order 98
4.6 Exercises 99
4.6.1 One dominant marker 100
4.6.2 One dominant marker and one F2 codominant marker 100
4.7 Notes 101
4.7.1 Linkage Analysis 101
Contents XIII
4.7.2 The Diplotype Probability 102
4.7.3 Gene Order 105
4.7.4 M Point Analysis 106
5 Linkage Analysis with Recombinant Inbred Lines 107
5.1 Introduction 107
5.2 RILs by Selfing 107
5.2.1 Two Point Analysis 107
5.2.2 Three Point Analysis Ill
5.3 RILs by Sibling Mating 117
5.3.1 Two point Analysis 117
5.3.2 Three point Analysis 118
5.4 Bias Reduction 118
5.4.1 RILs by Selfing 118
5.4.2 RILs by Sibling Mating 119
5.5 Multiway RILs 120
5.6 Exercises 120
5.7 Note 122
6 Linkage Analysis for Distorted and Misclassified Markers 123
6.1 Introduction 123
6.2 Gametic Differential Viability 123
6.2.1 One Gene Model 123
6.2.2 Two Gene Model 127
6.2.3 Simulation 130
6.3 Zygotic Differential Viability 132
6.3.1 One Gene Model 132
6.3.2 Two Gene Model 133
6.3.3 Simulation 134
6.4 Misclassification 134
6.4.1 One gene Model 134
6.4.2 Two Gene Model 138
6.5 Simulation 141
6.6 Exercises 142
7 Special Considerations in Linkage Analysis 145
7.1 Introduction 145
7.2 Linkage Analysis with a Complicated Pedigree 145
7.2.1 A Nuclear Family 145
7.2.2 Multipoint Estimation of Identical By Descent Sharing 149
7.2.3 A Complex Pedigree 150
7.3 Information Analysis of Dominant Markers 160
7.3.1 Introduction 160
7.3.2 Segregation Analysis 161
7.3.3 Linkage Analysis 165
XIV Contents
7.4 Exercises 168
8 Marker Analysis of Phenotypes 171
8.1 Introduction 171
8.2 QTL Regression Model 172
8.3 Analysis at the Marker 174
8.3.1 Two Sample t Test 174
8.3.2 Analysis of Variance 176
8.3.3 Genetic Analysis 179
8.4 Moving Away from the Marker 181
8.4.1 Likelihood 181
8.5 Power Calculation 184
8.6 Marker Interaction Analysis 188
8.6.1 ANOVA 188
8.6.2 Genetic Analysis 192
8.7 Whole Genome Marker Analysis 195
8.8 Exercises 198
9 The Structure of QTL Mapping 203
9.1 Introduction 203
9.2 The Mixture Model 204
9.2.1 Formulation 204
9.2.2 Structure, Setting, and Estimation 206
9.3 Population Genetic Structure of the Mixture Model 207
9.3.1 Backcross/F2 207
9.3.2 Outbred Crosses 208
9.3.3 Recombinant Inbred Lines 208
9.3.4 Natural Populations 208
9.4 Quantitative Genetic Structure of the Mixture Model 208
9.4.1 Additive Dominance Model 209
9.4.2 Additive Dominance Epistasis Model 210
9.4.3 Multiplicative Epistatic Model 211
9.4.4 Mechanistic Model 212
9.5 Experimental Setting of the Mixture Model 213
9.6 Estimation in the Mixture Model 214
9.7 Computational Algorithms for the Mixture Model 216
9.7.1 EM Algorithm 216
9.7.2 Monte Carlo EM 216
9.7.3 Stochastic EM 217
9.7.4 An EM Algorithm/Newton Raphson Hybrid 217
9.7.5 Some Cautions 218
9.7.6 Bayesian Methods 218
9.7.7 Estimating the Number of Components in a Mixture Model. . . 220
9.8 Exercises 221
Contents XV
10 Interval Mapping with Regression Analysis 223
10.1 Introduction 223
10.2 Linear Regression Model 224
10.3 Interval Mapping in the Backcross 224
10.3.1 Conditional Probabilities 224
10.3.2 Conditional Regression Model 226
10.3.3 Estimation and Test 228
10.4 Interval Mapping in an F2 230
10.5 Remarks 233
10.6 Exercises 234
11 Interval Mapping by Maximum Likelihood Approach 237
11.1 Introduction 237
11.2 QTL Interval Mapping in a Backcross 238
11.2.1 The Likelihood 238
11.2.2 Maximizing the Likelihood 240
11.3 Hypothesis Testing 246
11.3.1 Model for Incorporating Double Recombination 252
11.3.2 Model for Incorporating Interference 252
11.4 QTL Interval Mapping in an F2 254
11.4.1 No Double Recombination 254
11.4.2 Independence 257
11.4.3 Interference 260
11.4.4 Testing Hypotheses 262
11.5 Factors That Affect QTL Detection 262
11.6 Procedures for QTL Mapping 263
11.6.1 The Number of QTLs 263
11.6.2 Locations of Individual QTLs 266
11.7 Exercises 267
12 Threshold and Precision Analysis 269
12.1 Introduction 269
12.2 Threshold Determination 270
12.2.1 Background 270
12.2.2 Analytical Approximations 271
12.2.3 Simulation Studies 275
12.2.4 Permutation Tests 275
12.2.5 A Quick Approach 276
12.2.6 A Score Statistic 277
12.3 Precision of Parameter Estimation 279
12.3.1 Asymptotic Variance Covariance Matrix 279
12.3.2 Simulation Studies 282
12.4 Confidence Intervals for the QTL Location 283
12.5 Exercises 285
XVI Contents
13 Composite QTL Mapping 287
13.1 Introduction 287
13.2 Composite Interval Mapping for a Backcross 288
13.2.1 The Likelihood 288
13.2.2 Maximizing the Likelihood 289
13.2.3 Hypothesis Testing 290
13.3 Composite Interval Mapping for an F2 291
13.4 A Statistical Justification of Composite Interval Mapping 293
13.4.1 Conditional Marker (Co)variances 293
13.4.2 Conditional QTL Variance 295
13.4.3 Marker Selection 298
13.5 Comparisons Between Composite Interval Mapping and Interval
Mapping 298
13.6 Multiple Interval Mapping 301
13.7 Exercises 302
14 QTL Mapping in Outbred Pedigrees 303
14.1 Introduction 303
14.2 A Fixed Effect Model for a Full Sib Family 304
14.2.1 Introduction 304
14.2.2 A Mixture Model for a Parental Diplotype 304
14.2.3 Quantitative Genetic Model 308
14.2.4 Likelihood Analysis 309
14.2.5 Fitting Marker Phenotypes 312
14.2.6 Hypothesis Tests 313
14.2.7 The Influence of Linkage Phases 316
14.3 Random Effect Mapping Model for a Complicated Pedigree 317
14.3.1 Introduction 317
14.3.2 Statistical Model 319
14.3.3 IBD at a QTL 320
14.3.4 The Likelihood 321
14.3.5 Hypothesis Testing 323
14.4 Exercises 325
A General Statistical Results and Algorithms 331
A.I Likelihood Asymptotics 331
A.2 General Form of the EM Algorithm 332
B R Programs 335
B.I Chapter 2 335
B.2 Chapter 8 337
C References 343
Author Index 355
Subject Index 361 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| building | Verbundindex |
| bvnumber | BV022614767 |
| classification_tum | BIO 110f MAT 000 BIO 180f |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)890639478 (DE-599)BVBBV022614767 |
| dewey-full | 576.53 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 576 - Genetics and evolution |
| dewey-raw | 576.53 |
| dewey-search | 576.53 |
| dewey-sort | 3576.53 |
| dewey-tens | 570 - Biology |
| discipline | Biologie Informatik Mathematik |
| discipline_str_mv | Biologie Informatik Mathematik |
| doi_str_mv | 10.1007/978-0-387-68154-2 |
| format | Electronic eBook |
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| id | DE-604.BV022614767 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T18:17:48Z |
| indexdate | 2024-07-09T21:01:42Z |
| institution | BVB |
| isbn | 9780387203348 9780387681542 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015820923 |
| oclc_num | 890639478 |
| open_access_boolean | |
| owner | DE-739 DE-355 DE-BY-UBR DE-634 DE-91 DE-BY-TUM DE-384 DE-703 DE-83 |
| owner_facet | DE-739 DE-355 DE-BY-UBR DE-634 DE-91 DE-BY-TUM DE-384 DE-703 DE-83 |
| physical | 1 Online-Ressource (XVI, 365 S.) |
| psigel | ZDB-2-SMA |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Springer |
| record_format | marc |
| series2 | Statistics for biology and health |
| spelling | Statistical genetics of quantitative traits linkage, maps, and QTL Rongling Wu ... New York, NY Springer 2007 1 Online-Ressource (XVI, 365 S.) txt rdacontent c rdamedia cr rdacarrier Statistics for biology and health QTL (DE-588)4411159-9 gnd rswk-swf Markierungsgen (DE-588)4168918-5 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf QTL (DE-588)4411159-9 s Statistik (DE-588)4056995-0 s DE-604 Markierungsgen (DE-588)4168918-5 s 1\p DE-604 Wu, Rongling Sonstige oth https://doi.org/10.1007/978-0-387-68154-2 Verlag Volltext HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015820923&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Statistical genetics of quantitative traits linkage, maps, and QTL QTL (DE-588)4411159-9 gnd Markierungsgen (DE-588)4168918-5 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4411159-9 (DE-588)4168918-5 (DE-588)4056995-0 |
| title | Statistical genetics of quantitative traits linkage, maps, and QTL |
| title_auth | Statistical genetics of quantitative traits linkage, maps, and QTL |
| title_exact_search | Statistical genetics of quantitative traits linkage, maps, and QTL |
| title_exact_search_txtP | Statistical genetics of quantitative traits linkage, maps, and QTL |
| title_full | Statistical genetics of quantitative traits linkage, maps, and QTL Rongling Wu ... |
| title_fullStr | Statistical genetics of quantitative traits linkage, maps, and QTL Rongling Wu ... |
| title_full_unstemmed | Statistical genetics of quantitative traits linkage, maps, and QTL Rongling Wu ... |
| title_short | Statistical genetics of quantitative traits |
| title_sort | statistical genetics of quantitative traits linkage maps and qtl |
| title_sub | linkage, maps, and QTL |
| topic | QTL (DE-588)4411159-9 gnd Markierungsgen (DE-588)4168918-5 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | QTL Markierungsgen Statistik |
| url | https://doi.org/10.1007/978-0-387-68154-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015820923&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT wurongling statisticalgeneticsofquantitativetraitslinkagemapsandqtl |