Data Analysis

Siegmund Brandt is Emeritus Professor of Physics at the University of Siegen. With his group he worked on experiments in elementary-particle physics at the research centers DESY in Hamburg and CERN in Geneva in which the analysis of the experimental data plays an important role. He is author or coauthor of textbooks which have appeared in ten languages.

• Introduction.- Probabilities.- Random Variables: Distributions.- Computer-Generated Random Numbers: The Monte Carlo Method.- Some Important Distributions and Theorems.- Samples.- The Method of Maximum Likelihood.- Testing Statistical Hypotheses.- The Method of Least Squares.- Function Minimization.- Analysis of Variance.- Linear and Polynomial Regression.- Time-Series Analysis.- A) Matrix Calculations.- B) Combinatorics.- C) Formulas and Methods for the Computation of Statistical Functions.- D) The Gamma Function and Related Functions: Methods and Programs for their Computation.- E) Utility Programs.- F) The Graphics Class DatanGraphics.- G) Problems, Hints and Solutions and Programming Problems.- H) Collection of Formulas.- I) Statistical Formulas.- List of Computer Programs.