| Preface | p. ix |
| Acknowledgments | p. xv |
| Introduction | p. 1 |
| Statistical Bioinformatics | p. 1 |
| Genetics | p. 3 |
| Chi-Square Test | p. 6 |
| The Cell and Its Function | p. 9 |
| DNA | p. 12 |
| DNA Replication and Rearrangements | p. 14 |
| Transcription and Translation | p. 15 |
| Genetic Code | p. 16 |
| Protein Synthesis | p. 19 |
| Exercise 1 | p. 20 |
| Answer Choices for Questions 1 through 15 | p. 21 |
| Microarrays | p. 23 |
| Microarray Technology | p. 23 |
| Issues in Microarray | p. 25 |
| Microarray and Gene Expression and Its Uses | p. 29 |
| Proteomics | p. 30 |
| Exercise 2 | p. 31 |
| Probability and Statistical Theory | p. 33 |
| Theory of Probability | p. 34 |
| Mathematical or Classical Probability | p. 36 |
| Sets | p. 38 |
| Operations on Sets | p. 39 |
| Properties of Sets | p. 40 |
| Combinatorics | p. 41 |
| Laws of Probability | p. 44 |
| Random Variables | p. 53 |
| Discrete Random Variable | p. 55 |
| Continuous Random Variable | p. 56 |
| Measures of Characteristics of a Continuous Probability Distribution | p. 57 |
| Mathematical Expectation | p. 57 |
| Properties of Mathematical Expectation | p. 60 |
| Bivariate Random Variable | p. 62 |
| Joint Distribution | p. 62 |
| Regression | p. 71 |
| Linear Regression | p. 72 |
| The Method of Least Squares | p. 73 |
| Correlation | p. 78 |
| Law of Large Numbers and Central Limit Theorem | p. 80 |
| Special Distributions, Properties, and Applications | p. 83 |
| Introduction | p. 83 |
| Discrete Probability Distributions | p. 84 |
| Bernoulli Distribution | p. 84 |
| Binomial Distribution | p. 84 |
| Poisson Distribution | p. 87 |
| Properties of Poisson Distribution | p. 88 |
| Negative Binomial Distribution | p. 89 |
| Geometric Distribution | p. 92 |
| Lack of Memory | p. 93 |
| Hypergeometric Distribution | p. 94 |
| Multinomial Distribution | p. 95 |
| Rectangular (or Uniform) Distribution | p. 99 |
| Normal Distribution | p. 100 |
| Some Important Properties of Normal Distribution and Normal Probability Curve | p. 101 |
| Normal Approximation to the Binomial | p. 106 |
| Gamma Distribution | p. 107 |
| Additive Property of Gamma Distribution | p. 108 |
| Limiting Distribution of Gamma Distribution | p. 108 |
| Waiting Time Model | p. 108 |
| The Exponential Distribution | p. 109 |
| Waiting Time Model | p. 110 |
| Beta Distribution | p. 110 |
| Some Results | p. 111 |
| Chi-Square Distribution | p. 111 |
| Additive Property of Chi-Square Distribution | p. 112 |
| Limiting Distribution of Chi-Square Distribution | p. 112 |
| Statistical Inference and Applications | p. 113 |
| Introduction | p. 113 |
| Estimation | p. 115 |
| Consistency | p. 115 |
| Unbiasedness | p. 116 |
| Efficiency | p. 118 |
| Sufficiency | p. 120 |
| Methods of Estimation | p. 121 |
| Confidence Intervals | p. 122 |
| Sample Size | p. 132 |
| Testing of Hypotheses | p. 133 |
| Tests about a Population Mean | p. 138 |
| Optimal Test of Hypotheses | p. 150 |
| Likelihood Ratio Test | p. 156 |
| Nonparametric Statistics | p. 159 |
| Chi-Square Goodness-of-Fit Test | p. 160 |
| Kolmogorov-Smirnov One-Sample Statistic | p. 163 |
| Sign Test | p. 164 |
| Wilcoxon Signed-Rank Test | p. 166 |
| Two-Sample Test | p. 169 |
| Wilcoxon Rank Sum Test | p. 169 |
| Mann-Whitney Test | p. 171 |
| The Scale Problem | p. 174 |
| Ansari-Bardley Test | p. 175 |
| Lepage Test | p. 178 |
| Kolmogorov-Smirnov Test | p. 180 |
| Gene Selection and Clustering of Time-Course or Dose-Response Gene Expression Profiles | p. 182 |
| Single Fractal Analysis | p. 184 |
| Order-Restricted Inference | p. 186 |
| Bayesian Statistics | p. 189 |
| Bayesian Procedures | p. 189 |
| Empirical Bayes Methods | p. 192 |
| Gibbs Sampler | p. 193 |
| Markov Chain Monte Carlo | p. 203 |
| The Markov Chain | p. 204 |
| Aperiodicity and Irreducibility | p. 213 |
| Reversible Markov Chains | p. 218 |
| MCMC Methods in Bioinformatics | p. 220 |
| Analysis of Variance | p. 227 |
| One-Way ANOVA | p. 228 |
| Two-Way Classification of ANOVA | p. 241 |
| The Design of Experiments | p. 253 |
| Introduction | p. 253 |
| Principles of the Design of Experiments | p. 255 |
| Completely Randomized Design | p. 256 |
| Randomized Block Design | p. 262 |
| Latin Square Design | p. 270 |
| Factorial Experiments | p. 278 |
| 2n-Factorial Experiment | p. 279 |
| Reference Designs and Loop Designs | p. 286 |
| Multiple Testing of Hypotheses | p. 293 |
| Introduction | p. 293 |
| Type I Error and FDR | p. 294 |
| Multiple Testing Procedures | p. 297 |
| References | p. 305 |
| Index | p. 315 |
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