Understanding Advanced Statistical Methods

ISBN-13: 9781466512108 / Angielski / Twarda / 2013 / 569 str.

Peter Westfall; Kevin S. S. Henning

Opis

Designed for students in all disciplines - whether social science, biological science, or physical science - this text introduces mathematical statistics, including calculus and probability, in intuitive, self-contained and accessible ways."

Spis treści

Introduction: Probability, Statistics and Science. Random Variables and Their Probability Distributions. Probability Calculation and Simulation. Identifying Distributions. Conditional Distributions and Independence. Marginal Distributions, Joint Distributions, Independence, and Bayes’ Theorem. Sampling from Populations and Processes. Expected Value and the Law of Large Numbers. Functions of Random Variables: Their Distributions and Expected Values. Distributions of Totals. Estimation: Unbiasedness, Consistency, and Efficiency. The Likelihood Function and Maximum Likelihood Estimates. Bayesian Statistics. Frequentist Statistical Methods. Are Your Results Explainable by Chance Alone? Chi-Squared, Student’s t, and F-Distributions, with Applications. Likelihood Ratio Tests. Sample Size and Power. Robustness and Nonparametric Methods. Final Words. Index.