Synopses & Reviews
A clear, consistent, and rigorous approach to statistics at an elementary level, this book's goal is to provide a sophisticated introduction of how and why the statistics process works. Every concept is carefully and clearly explained, enriched by a mathematical/statistical justification, and then illustrated by at least one concrete, worked example. Beginning with basic concepts, the book allows readers to acquire the ability to understand rather complicated statistical issues, such as linear regression theory and application. After introducing the sample mean and a few other descriptive statistics, the book turns to elementary probability theory, then extends to characterize samples selected from populations. It then explores the accuracy and precision of the mean value calculated from samples, and then presents the chi-square analytic technique. The remainder of the book deals with summarizing and analyzing bivariate data. For beginners interested in statistical methods to understand data analysis; these readers are employed in many areas, including Public Health, Genetics, Forestry, Molecular Biology, Epidemiology, Biophysics, medical researchers, and pre-med students.
Table of Contents
I. PROBABILITY: PROPERTIES OF SAMPLES. 1. Descriptive Statistics.
Summary Measures. Graphic Representation. 2. Probability.
Eight Rules of Probability. Composite Events. Bayes' Rule. Four Probability Problems. 3. Random Variables.
Random Variables. Joint Probability Distribution. 4. Probability Distributions.
Binominal Probability Distribution. Normal Profitability Distribution. Central Limit Theorem.
II. STATISTICS: PROPERTIES OF SAMPLED POPULATIONS. 5. Statistical Inference I.
Description of a Confidence Interval. Statistical Hypothesis Testing. 6. Statistical Inference II.
Student's t—Distribution. Computation of Sample Size. 7. Chi-Square Analysis.
Independence of Two Categorical Variables “r by c Table.” 8. Linear Regression.
Least Squares Estimation. Assessing an Estimated Regression Line. Assessing Regression Lines from Two Groups. 9. Correlation.
Testing a Correlation Coefficient. Confidence Interval for a Correlation Coefficient. References.
Table A.1: Normal Distributions. Table A.2: t-distribution. Table A.3: Chi-square Distribution. Table A.4: Values for Testing Correlations (conversion of t-values). Table A.5: Values for Testing Rank Correlations. Chart: Confidence Intervals for Correlation Coefficients. Appendix B:
B.1: Summation Notation. B.2: Derivation of the Normal Equations for Simple Linear Regression. B.3: Poisson Probability Distribution. B.4: Problem Sets: 1 to 15; B.5: Partial Solutions to Most Problems (Sets 1 to 15).