Introductory Statistics for Data Analysis

Warren Ewens is an Emeritus Professor of Biology at the University of Pennsylvania. His research interests focus on the use of Statistics in genetics, in particular in describing the evolutionary process in genetical terms and in DNA sequence analysis.Katherine Brumberg is a PhD candidate in Statistics and Data Science at the Wharton School of the University of Pennsylvania.  Her research interests focus on causal inference, in particular attaining optimal covariate balance in observational studies.

• I INTRODUCTION.- 1 Statistics and probability theory.- II PROBABILITY THEORY.- 2 Events.- 3 Probabilities of events.- 4 Probability: One Discrete Random Variable.- 5 Many Random Variables.- 6 Continuous Random Variables.- III STATISTICS.- 7 Introduction.- 8 Estimation of a parameter.- 9 Testing hypotheses about the value of a parameter.- 10 Testing for the equality of two binomial parameters.- 10 Testing for the equality of two binomial parameters.- 11 Chi-square tests (i): tables bigger than two-by-two.- 13 Tests on means.- 14 Non-parametric tests.- Useful charts.- Solutions to problems.