Table of Contents

• Introduction Basics of Probability Theory
• Probability
• Simple and Compound Events
• Addition and Multiplication Laws
• Conditional Event and Multiplication Law and Theorem of Probability
• Multiplication Theorem
• Partitioning of Sample Space
• Bayes Theorem
• Use of Matrix Theory in Solving Problems in the Field of Probability
• Common Mating Systems Distributions
• Expectations and Moments of a Variable
• Discrete and Continuous Distributions
• Analysis of Variance (ANOVA)
• Fixed and Random Effects Model: Major Difference
• t-test and Inferences
• Duncan’s Multiple Range Test (DMRT)
• Appendix 3.6 Inference: Essential Basics
• Important Concepts of Inference
• Tests of Significance, Confidence Limit and Confidence Interval
• Likelihood
• Likelihood Ratio Quantitative Genetics: Genetic Analysis of Phenotypic Variation
• Basics
• QT and Genetic Values: Case of a Single Gene
• Phenotypic and Genetic Variance
• Alternate Formulation of Additive Genetic Variance and Interpretation of Additive Effect
• Generation Means and Genetic Effects
• Additive Genetic Variance and Natural Selection
• Two Genes
• QT Values in Two Genes
• Genetic Effects and Variances
• Various Types of Gene Interaction Inbreeding and Heterosis: Genotypic Frequencies Under Inbreeding
• Li’s Formulation of Inbreeding Coefficient
• Additive Genetic Variance Under Inbreeding
• Useful Relationships Involving Inbreeding
• Heterosis
• Inbreeding Depression
• Breeding Value Genetic Divergence: Basics of Genetic Divergence
• Numerical Example
• Importance of Characters in Genetic Differentiation
• Genetic Divergence and Heterosis
• Implications of Genetic DivergenceHeterosis Hypothesis in Plant Breeding
• Appendix 1: The process of obtaining linear combinations Y using
• error variance-covariance matrix in Section 7.2 Mating Systems: Diallel Crosses
• Covariance Between Relatives
• Half-sibs and Full-sibs
• Covariance of Half- and Full-sibs in the General Case
• Diallel Crosses (Griffing’s Approach)
• Line × Tester Design
• Partial Diallel Cross
• Multiple Crosses
• Diallel Crosses: Some General Observations

About the Author

V. Arunachalam is head of Division of Genetics at Indian Agricultural Research Institute, New Delhi , India. He has been Ex-Distinguished Fellow & Technical Program Leader at M.S. Swaminathan Research Foundation, Chennai, India. He has earned PhD from Cambridge University, England.