Read more
Informationen zum Autor SRS Rao Poduri, Professor of Statistics, University of Rochester. Since receiving his?Ph.D degree in Statistics in 1965 from Harvard University under the supervision of the eminent professor William G. Cochran, Professor Poduri has?been teaching courses in five or six major areas of statistics to graduate and undergraduate students at the University of Rochester. Klappentext This book presents the methodology and applications of a range of important topics in statistics, and is designed for graduate students in Statistics and Biostatistics and for medical researchers. Illustrations and more than ninety exercises with solutions are presented. They are constructed from the research findings of the medical journals, summary reports of the Centre for Disease Control (CDC) and the World Health Organization (WHO), and practical situations. The illustrations and exercises are related to topics such as immunization, obesity, hypertension, lipid levels, diet and exercise, harmful effects of smoking and air pollution, and the benefits of gluten free diet.This book can be recommended for a one or two semester graduate level course for students studying Statistics, Biostatistics, Epidemiology and Health Sciences. It will also be useful as a companion for medical researchers and research oriented physicians. Zusammenfassung This book presents the methodology and applications of a range of important topics in statistics, and is designed for graduate students in Statistics and Biostatistics and for medical researchers. Illustrations and more than ninety exercises with solutions are presented. Inhaltsverzeichnis Topics for illustrations, examples and exercises xv Preface xvii List of abbreviations xix 1 Statistical measures 1 1.1 Introduction 1 1.2 Mean, mode and median 2 1.3 Variance and standard deviation 3 1.4 Quartiles, deciles and percentiles 4 1.5 Skewness and kurtosis 5 1.6 Frequency distributions 6 1.7 Covariance and correlation 7 1.8 Joint frequency distribution 9 1.9 Linear transformation of the observations 10 1.10 Linear combinations of two sets of observations 10 Exercises 11 2 Probability, random variable, expected value and variance 14 2.1 Introduction 14 2.2 Events and probabilities 14 2.3 Mutually exclusive events 15 2.4 Independent and dependent events 15 2.5 Addition of probabilities 16 2.6 Bayes' theorem 16 2.7 Random variables and probability distributions 17 2.8 Expected value, variance and standard deviation 17 2.9 Moments of a distribution 18 Exercises 18 3 Odds ratios, relative risk, sensitivity, specificity and the ROC curve 19 3.1 Introduction 19 3.2 Odds ratio 19 3.3 Relative risk 20 3.4 Sensitivity and specificity 21 3.5 The receiver operating characteristic (ROC) curve 22 Exercises 22 4 Probability distributions, expectations, variances and correlation 24 4.1 Introduction 24 4.2 Probability distribution of a discrete random variable 25 4.3 Discrete distributions 25 4.4 Continuous distributions 29 4.5 Joint distribution of two discrete random variables 34 4.6 Bivariate normal distribution 37 Exercises 38 5 Means, standard errors and confidence limits 40 5.1 Introduction 40 5.2 Expectation, variance and standard error (S.E.) of the sample mean 41 5.3 Estimation of the variance and standard error 42 5.4 Confidence limits for the mean 43 5.5 Estimator and confidence limits for the difference of two means 44 5.6 Approximate confidence limits for the difference of two means 46 5.7 Matched samples and paired comparisons 47 5.8 Confidence limits for the variance 48 5.9 Conf...
