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Statistics in Theory and Practice - Robert Lupton

Statistics in Theory and Practice

Hardcover

Published: 1st August 1993
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Aimed at a diverse scientific audience, including physicists, astronomers, chemists, geologists, and economists, this book explains the theory underlying the classical statistical methods. Its level is between introductory "how to" texts and intimidating mathematical monographs. A reader without previous exposure to statistics will finish the book with a sound working knowledge of statistical methods, while a reader already familiar with the standard tests will come away with an understanding of their strengths, weaknesses, and domains of applicability. The mathematical level is that of an advanced undergraduate; for example, matrices and Fourier analysis are used where appropriate.

Among the topics covered are common probability distributions; sampling and the distribution of sampling statistics; confidence intervals, hypothesis testing, and the theory of tests; estimation (including maximum likelihood); goodness of fit (including "c2" and Kolmogorov-Smirnov tests); and non-parametric and rank tests. There are nearly one hundred problems (with answers) designed to bring out points in the text and to cover topics slightly outside the main line of development.

"Aimed at a diverse scientific audience, including physicists, astronomers, chemists, geologists, and economists, this book explains the theory underlying the classical statistical methods ...There are nearly one hundred problems (with answers) designed to bring out points in the text and to cover topics lightly outside the main line of development."--Zentralblatt fur Mathematik

Preface
Introductionp. 3
Preliminariesp. 5
Some Common Probability Distributionsp. 13
Distributions Related to the Gaussianp. 24
Samplingp. 30
Distributions of Sample Statisticsp. 36
Bayes' Theorem and Maximum Likelihoodp. 50
Confidence Intervalsp. 53
Hypothesis Testingp. 60
The Theory of Maximum Likelihood Estimatorsp. 72
Least Squares Fitting for Linear Modelsp. 81
Hypothesis Testing in the Linear Modelp. 98
Rank Correlation Coefficientsp. 107
Tests of Fitp. 114
Robust Tests for Meansp. 123
Epiloguep. 127
Some Numerical Exercisesp. 128
Referencesp. 130
Answersp. 132
Symbol Indexp. 181
Problem Indexp. 185
Indexp. 186
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780691074290
ISBN-10: 0691074291
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 200
Published: 1st August 1993
Publisher: Princeton University Press
Country of Publication: US
Dimensions (cm): 24.77 x 16.51  x 1.91
Weight (kg): 0.5