Exact statistical methods for data analysis /

Now available in paperback.

Bibliographic Details
Main Author:	Weerahandi, Samaradasa
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	New York : Springer-Verlag, [1995]
Series:	Springer series in statistics.
Subjects:	Mathematical statistics. Statistique mathematique. Statistiek. Data-analyse. Analise de dados. Estatistica. Statistische Schlussweise. Datenanalyse. Statistics Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

1 Preliminary Notions
1.1 Introduction
1.2 Sufficiency
1.3 Complete Sufficient Statistics
1.4 Exponential Families of Distributions
1.5 Invariance
1.6 Maximum Likelihood Estimation
1.7 Unbiased Estimation
1.8 Least Squares Estimation
1.9 Interval Estimation
Exercises
2 Notions in significance testing of hypotheses
2.1 Introduction
2.2 Test Statistics and Test Variables
2.3 Definition of p-Value
2.4 Generalized Likelihood Ratio Method
2.5 Invariance in Significance Testing
2.6 Unbiasedness and Similarity
2.7 Interval Estimation and Fixed-Level Testing
Exercises
3 Review of Special Distributions
3.1 Poisson and Binomial Distributions
3.2 Point Estimation and Interval Estimation
3.3 Significance Testing of Parameters
3.4 Bayesian Inference
3.5 The Normal Distribution
3.6 Inferences About the Mean
3.7 Inferences About the Variance
3.8 Quantiles of a Normal Distribution
3.9 Conjugate Prior and Posterior Distributions
3.10 Bayesian Inference About the Mean and the Variance
Exercises
4 Exact Nonparametric Methods
4.1 Introduction
4.2 The Sign Test
4.3 The Signed Rank Test and the Permutation Test
4.4 The Rank Sum Test and Allied Tests
4.5 Comparing k Populations
4.6 Contingency Tables
4.7 Testing the Independence of Criteria of Classification
4.8 Testing the Homogeneity of Populations
Exercises
5 Generalized p-Values
5.1 Introduction
5.2 Generalized Test Variables
5.3 Definition of Generalized p-Values
5.4 Frequency Interpretations and Generalized Fixed-Level Tests
5.5 Invariance
5.6 Comparing the Means of Two Exponential Distributions
5.7 Unbiasedness and Similarity
5.7 Comparing the Means of an Exponential Distribution and a Normal Distribution
Exercises
6 Generalized Confidence Intervals
6.1 Introduction
6.2 Generalized Definitions
6.3 Frequency Interpretations and Repeated Sampling Properties
6.4 Invariance in Interval Estimation
6.5 Interval Estimation of the Difference Between Two Exponential Means
6.6 Similarity in Interval Estimation
6.7 Generalized Confidence Intervals Based on p-Values
6.8 Resolving an Undesirable Feature of Confidence Intervals
6.9 Bayesian and Conditional Confidence Intervals
Exercises
7 Comparing Two Normal Populations
7.1 Introduction
7.2 Comparing the Means when the Variances are Equal
7.3 Solving the Behrens-Fisher Problem
7.4 Inferences About the Ratio of Two Variances
7.5 Inferences About the Difference in Two Variances
7.6 Bayesian Inference
7.7 Inferences About the Reliability Parameter
7.8 The Case of Known Stress Distribution
Exercises
8 Analysis of Variance
8.1 Introduction
8.2 One-way Layout
8.3 Testing the Equality of Means
8.4 ANOVA with Unequal Error Variances
8.5 Multiple Comparisons
8.6 Testing the Equality of Variances
8.7 Two-way ANOVA without Replications
8.8 ANOVA in a Balanced Two-way Layout with Replications
8.9 Two-way ANOVA under Heteroscedasticity
Exercises
9 Mixed Models
9.1 Introduction
9.2 One-way Layout
9.3 Testing Variance Components
9.4 Confidence Intervals
9.5 Two-way Layout
9.6 Comparing Variance Components
Exercises
10 Regression
10.1 Introduction
10.2 Simple Linear Regression Model
10.3. Inferences about Parameters of the Simple Regression Model
10.3 Multiple Linear Regression
10.4 Distributions of Estimators and Significance Tests
10.5 Comparing Two Regressions with Equal Variances
10.6 Comparing Regressions without Common Parameters
10.7 Comparison of Two General Models
Exercises
Appendix A
Elements of Bayesian Inference
A.1 Introduction
A.2 The Prior Distribution
A.3 The Posterior Distribution
A.4 Bayes Estimators
A.5 Bayesian Interval Estimation
A.6 Bayesian Hypothesis Testing
Appendix B Technical Arguments
References.