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STATISTICAL ANALYSIS | |
Data | |
Model Specification | |
Model Checking | |
Statistical Inference | |
Concluding Remarks | |
PRELIMINARY INVESTIGATIONS | |
Dot Diagrams and Bar Charts | |
Histograms | |
Fractile Diagrams | |
Fractile Diagrams for the Normal Distribution | |
Transformation | |
Concluding Remarks | |
Annex to Chapter 2 |
|
NORMAL DATA | |
One Sample | |
Annex to Section | |
Main Points in Section | |
Two or More Samples | |
Main Points in Section | |
Linear Regression | |
Annex to Section | |
Main Points in Section | |
Supplement to Chapter |
|
The Normal Distribution and Related Distributions | |
Multivariate Normal Distributions | |
LINEAR NORMAL MODELS | |
The Linear Normal Model | |
Main Points in Section | |
Comparison of Regression Lines | |
Annex to Section | |
Two-way Analysis of Variance | |
Annex to Section 4 | |
AN INTRODUCTION TO POWER OF TESTS AND DESIGN OF EXPERIMENTS | |
Power of Tests | |
Reduction of s 2- An Example of Blocking | |
Control Plot for the Paired t-Test | |
The Paired t--Test and Two-Way Analysis of Variance | |
Annex to Chapter |
|
Supplement to Chapter 5 |
|
Non-Central t-, c, and F-Distributions | |
CORRELATION | |
Introduction | |
Definitions | |
Examples | |
The Bivariate Normal Distribution | |
Model Checking | |
Inference on r Based on a Single Bivariate Normal Sample | |
Inference on r Based on Several Bivariate Normal Samples | |
Correlation and Regression | |
Interpretation of Correlation | |
Further Topics in the Bivariate Normal Distribution | |
Annex to Chapter 6 |
|
Main Points in Section 6 | |
THE MULTINOMIAL DISTRIBUTION | |
Examples | |
Inference in One Multinomial Distribution | |
Inference in Several Multinomial Distributions | |
Fisher's Exact Test | |
Test for Goodness of Fit | |
Sequence of Models | |
Annex to Chapter 7 |
|
Main Points in Chapter 7 |
|
THE POISSON DISTRIBUTION | |
Examples | |
Probabilistic Results for the Poisson Distribution | |
One Sample | |
Several Samples | |
Transformation | |
Annex to Chapter 8 |
|
Main Points in Chapter 8 |
|
GENERALIZED LINEAR MODELS | |
Classes of Distributions | |
The Generalized Linear Model | |
Examples | |
MODELS FOR DIRECTIONAL DATA | |
Notation | |
Examples | |
The Circular Normal Distribution | |
One Sample | |
Several Samples | |
Annex to Chapter 10 |
|
Supplement to Chapter 10 |
|
Descriptive Measures for Directional Data | |
Further Analogies | |
THE LIKELIHOOD METHOD | |
Likelihood Inference | |
Concepts from General Test Theory | |
Approximative Likelihood Theory | |
SOME NONPARAMETRIC TESTS | |
Sign Test | |
Rank Tests | |
Annex to Chapter 12 |
|
Main Points in Chapter 12 |
|
APPENDICES | |
Simulated Fractile Diagrams | |
The Newton-Raphson Procedure | |
REFERENCES | |
INDEX |