# Basic Statistical Methods and Models for the Sciences

CRC Press, Dec 21, 2001 - Mathematics - 296 pages
The use of statistics in biology, medicine, engineering, and the sciences has grown dramatically in recent years and having a basic background in the subject has become a near necessity for students and researchers in these fields. Although many introductory statistics books already exist, too often their focus leans towards theory and few help readers gain effective experience in using a standard statistical software package.

Designed to be used in a first course for graduate or upper-level undergraduate students, Basic Statistical Methods and Models builds a practical foundation in the use of statistical tools and imparts a clear understanding of their underlying assumptions and limitations. Without getting bogged down in proofs and derivations, thorough discussions help readers understand why the stated methods and results are reasonable. The use of the statistical software Minitab is integrated throughout the book, giving readers valuable experience with computer simulation and problem-solving techniques. The author focuses on applications and the models appropriate to each problem while emphasizing Monte Carlo methods, the Central Limit Theorem, confidence intervals, and power functions.

The text assumes that readers have some degree of maturity in mathematics, but it does not require the use of calculus. This, along with its very clear explanations, generous number of exercises, and demonstrations of the extensive uses of statistics in diverse areas applications make Basic Statistical Methods and Models highly accessible to students in a wide range of disciplines.

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### Contents

 Introduction 1 Classes of Models and Statistical Inference 19 Topic Exponential distributions 32 Sampling and Descriptive Statistics 47 2 Descriptive Statistics of Location 61 3 Descriptive Statistics of Variability 67 Topic Scatter plots 74 Topic The empirical cumulative distribution function 80
 Theorem Distribution of independent normal sums 141 2 Distribution of Sample Percentiles 147 Topic Elementary confidence interval construction 155 5 Confidence Limits and Interval for Binomial? 162 6 Comparing Estimators 169 Testing Hypotheses 181 2 Some Commonly Used Statistical Tests 187 Topic Independent twosample Z tests 193

 Survey of Basic Probability 89 Topic Formation of events from other events 95 Theorem Bonferroni Inequalities 102 Theorem Corollary to Theorem 4 I ordered sampling 108 Definition Conditional probability of A given B 114 5 Statistical Independence 121 6 Systematic Approach to Probability Problems 123 Definition Variance and standard deviation 131
 Topic The chisquare tests of homogeneity 200 3 Types I and II Errors and Discriminatingl Power 206 5 Some Final Issues and Comments 213 3 Multiple Linear Regression 221 Topic The additive twoway layout 227 Epilogue 233 Index 273 Copyright