Kaltenbach H.-M. A Concise Guide to Statistics

Springer, 2011. — 118 p. — (Springer Briefs in Statistics). — ISBN: 3642235018.The text gives a concise introduction into fundamental concepts in statistics.
Chapter 1: Short exposition of probability theory, using generic examples.
Chapter 2: Estimation in theory and practice, using biologically motivated examples. Maximum-likelihood estimation in covered, including Fisher information and power computations. Methods for calculating confidence intervals and robust alternatives to standard estimators are given.
Chapter 3: Hypothesis testing with emphasis on concepts, particularly type-I , type-II errors, and interpreting test results. Several examples are provided. T-tests are used throughout, followed important other tests and robust/nonparametric alternatives. Multiple testing is discussed in more depth, and combination of independent tests is explained.
Chapter 4: Linear regression, with computations solely based on R. Multiple group comparisons with ANOVA are covered together with linear contrasts, again using R for computations.