Understanding Advanced Statistical Methods
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ISBN-13:
9781466512108
Veröffentl:
2013
Erscheinungsdatum:
09.04.2013
Seiten:
569
Autor:
Peter Westfall
Gewicht:
1167 g
Format:
261x177x35 mm
Sprache:
Englisch
Beschreibung:
Providing a much-needed bridge between elementary statistics courses and advanced research methods courses, this text helps students grasp the fundamental assumptions and machinery behind sophisticated statistical topics, such as logistic regression, maximum likelihood, bootstrapping, nonparametrics, and Bayesian methods. The book teaches students how to properly model, think critically, and design their own studies to avoid common errors. It leads them to think differently not only about math and statistics but also about general research and the scientific method.
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.
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