文摘
英文文摘
Thesis Release Certificate
DECLARATION
CERTIFICATION
ACKNOWLEDGEMENT
CHAPTER 1 INTRODUCTION
1.1 General Introduction
1.2 Objectives of the Study
1.3 Overview of the Study
CHAPTER 2 REVIEW OF LITERATURE
2.1 Mixed Linear Model
2.2 Diagnostics Analysis for Influential Observations
2.2.1 Diagnostic analysis for linear models
2.2.2 Diagnostic analysis for mixed linear models
2.2.3 Case deletion diagnostics for mixed linear models
2.3 Residuals and Influence Diagnostics
2.4 Masking and Swamping Effects
2.5 Motivation in Genetic Data Analysis
CHAPTER 3 STATISTICAL METHODS FOR ESTIMATION AND PREDICTION OF MODEL PARAMETERS
3.1 Introduction
3.2 MINQUE Methods
3.3 The EM-algorithm
3.4 Prediction of Random Effects
3.4.1 Best linear unbiased prediction (BLUP)
3.4.2 Linear unbiased prediction (LUP)
3.4.3 Adjusted unbiased prediction (AUP)
3.5 Residuals and Studentization
CHAPTER 4 METHODS FOR INFLUENCE ANALYSIS: SIMULATION
4.1 Introduction
4.2 Statistical Functions for Influence Analysis
4.2.1 Influence on fixed effects
4.2.2 Influence on random effects
4.3 Criteria for Detection of Outliers
4.3.1 Detecting single outlier
4.3.2 Detecting multiple outliers
4.4 Monte Carlo Simulations
4.4.1 General genetic model
4.4.2 Generating the phenotype data
4.5 Simulation Results
4.5.1 Clean data set
4.5.2 Single genotype in different location(s) and year(s)
4.5.3 Multiple genotypes in different locations and years
4.5.4 Special cases for aberrant observations
4.6 Discussion
4.7 Conclusions
CHAPTER 5 INFLUENCE DIAGNOSTIC ANALYSIS:WORKED EXAMPLES
5.1 Introduction
5.2 Experimental Data of Rice Yield
5.2.1 Results of the influence analysis: Rice yield data
5.2.2 Case deletion diagnostics for rice yield data
5.2.3 Effect of the influential observations and outliers
5.3 Reduced Model for Rice Yield Data
5.3.1 Description of reduced model
5.3.2 Results of the influence analysis for reduced model
5.4 QTL Mapping of Experimental Data
5.4.1 Description of data
5.4.2 Methods for QTL mapping analysis
5.4.3 Results of the QTL mapping data
5.4.4 QTL Mapping Results: Simulation
5.5 Discussion
5.5.1 Rice yield data analysis
5.5.2 QTL mapping data analysis
5.6 Importance of the Methods in Biological Research
CHAPTER 6 SUMMARY AND RECOMMENDATIONS
6.1 Summary
6.2 Recommendations
References
Curriculum Vitae