Testing Statistical Hypotheses, 2e, , Testing Statistical Hypothe

Book Categories

Authors

1: The General Decision Problem

1: Statistical inference and statistical decisions

2: Specification of a decision problem

3: Randomization; choice of experiment

4: Optimum procedures

5: Invariance and unbiasedness

6: Bayes and minimax procedures

7: Maximum likelihood

8: Complete classes

9: Sufficient statistics

10: Problems

11: References

2: The Probability Background

1: Probability and measure

2: Integration

3: Statistics and subfields

4: Conditional expectation and probability

5: Conditional probability distributions

6: Characterization of sufficiency

7: Exponential families

8: Problems

9: References

3: Uniformly Most Powerful Tests

1: Stating the problem

2: The Neyman–Pearson fundamental lemma

3: Distributions with monotone likelihood ratio

4: Comparison of experiments

5: Confidence bounds

6: A generalization of the fundamental lemma

7: Two‐sided hypotheses

8: Least favorable distributions

9: Testing the mean and variance of a normal distribution

10: Problems

11: References

4: Unbiasedness: Theory and First Applications

1: Unbiasedness for hypothesis testing

2: One‐parameter exponential families

3: Similarity and completeness

4: UMP unbiased tests for multiparameter exponential families

5: Comparing two Poisson or binomial populations

6: Testing for independence in a 2 x 2 table

7: Alternative models for 2 x 2 tables

8: Some three‐factor contingency tables

9: The sign test

10: Problems

11: References

5: Unbiasedness: Applications to Normal Distributions; Confidence Intervals

1: Statistics independent of a sufficient statistic

2: Testing the parameters of a normal distribution

3: Comparing the means and variances of two normal distributions

4: Robustness

5: Effect of dependence

6: Confidence intervals and families of tests

7: Unbiased confidence sets

8: Regression

9: Bayesian confidence sets

10: Permutation tests

11: Most powerful permutation tests

12: Randomization as a basis for inference

13: Permutation tests and randomization

14: Randomization model and confidence intervals

15: Testing for independence in a bivariate normal distribution

16: Problems

17: References

6: Invariance

1: Symmetry and invariance

2: Maximal invariants

3: Most powerful invariant tests

4: Sample inspection by variables

5: Almost invariance

6: Unbiasedness and invariance

7: Admissibility

8: Rank tests

9: The two‐sample problem

10: The hypothesis of symmetry

11: Equivariant confidence sets

12: Average smallest equivariant confidence sets

13: Confidence bands for a distribution function

14: Problems

15: References

7: Linear Hypotheses

1: A canonical form

2: Linear hypotheses and least squares

3: Tests of homogeneity

4: Multiple comparisons

5: Two‐way layout: One observation per cell

6: Two‐way layout; m observations per cell

7: Regression

8: Robustness against nonnormality

9: Scheffe's S‐method: A special case

10: Scheffe's S‐method for general linear models

11: Random‐effects model: One‐way classification

12: Nested classifications

13: Problems

14: References

8: Multivariate Linear Hypothesis

1: A canonical form

2: Reduction by invariance

3: The one‐and two‐sample problems

4: Multivariate analysis of variance (MANOVA)

5: Further applications

6: Simultaneous confidence intervals

7: x²‐tests: Simple hypothesis and unrestricted alternatives

8: x²‐ and likelihood‐ratio tests

9: Problems

10: References

9: The Minimax Principle

1: Tests with guaranteed power

2: Examples

3: Comparing two approximate hypotheses

4: Maximum tests and invariance

5: The Hunt–Stein theorem

6: Most stringent tests

7: Problems

8: References

10: Conditional Inference

1: Mixtures of experiments

2: Ancillary statistics

3: Optimal conditional tests

4: Relevant subsets

5: Problems

6: References

Appendix

1: Equivalence relations; groups

2: Convergence of distributions

3: Dominated families of distributions

4: The weak compactness theorem

5: References

Author Index

Subject Index

Title: Testing Statistical Hypotheses, 2e

Manufacturer:

Steidl Publishing

Item Number: 9780387949192

Publication Date: January 1997

Number: 2

Product Description: Full Name: Testing Statistical Hypotheses, 2e; Short Name:Testing Statistical Hypotheses

Universal Product Code (UPC): 9780387949192

WonderClub Stock Keeping Unit (WSKU): 9780387949192

Rating: 2.5/5 based on 2 Reviews

Image Location: https://wonderclub.com/images/covers/91/92/9780387949192.jpg

Category: Media >> Books

Weight: 0.200 kg (0.44 lbs)

Width: 0.000 cm (0.00 inches)

Heigh : 0.000 cm (0.00 inches)

Depth: 0.000 cm (0.00 inches)

Date Added: August 25, 2020, Added By: Ross

Date Last Edited: August 25, 2020, Edited By: Ross

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Testing Statistical Hypotheses

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Testing Statistical Hypotheses, 2e Book

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