Research Catalog

The theory of linear models

Title
The theory of linear models / Bent Jørgensen.
Author
Jørgensen, Bent.
Publication
New York : Chapman & Hall, 1993.

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StatusFormatAccessCall NumberItem Location
TextUse in library QA279 .J67 1993Off-site

Details

Description
xiii, 226 pages : illustrations; 25 cm
Subject
  • Linear models (Statistics)
  • Lineares Modell
  • Lineaire modellen
  • Modèles linéaires (statistique)
Bibliography (note)
  • Includes bibliographical references (p. [221]-222) and index.
Contents
  • Ch. 1. Simple Linear Regression. 1.1. The linear regression model. 1.2. Parameter estimation. 1.3. Properties of the estimators. 1.4. Residuals. 1.5. Parameter inference. 1.6. Writing statistical reports. 1.7. Analysis of the spinach data -- Ch. 2. The General Linear Model. 2.1. Linear models and linear algebra. 2.2. Maximum likelihood estimation. 2.3. The likelihood ratio test. 2.4. Simple linear regression revisited. 2.5. Distribution theory. 2.6. The relationship between the t- and F-tests. 2.7. Affine hypotheses and confidence regions. 2.8. Sufficiency. 2.9. Non-central distributions -- Ch. 3. One-Sample and One-Factor Analysis of Variance. 3.1. The one-sample model. 3.2. Paired observations. 3.3. Analysis of variance with one factor. 3.4. Parameterization of linear models. 3.5. Testing for homogeneity of variances -- Ch. 4. Multiple Regression Models. 4.1. Regression with replications. 4.2. Comparing regression lines. 4.3. Multiple regression. 4.4. Polynomial regression.
  • 4.5. Prediction intervals. 4.6. Weighted linear models -- Ch. 5. Analysis of Residuals. 5.1. Residuals and the hat matrix. 5.2. Studentized residuals. 5.3. The non-null distribution of residuals. 5.4. The elements of residual analysis -- Ch. 6. Analysis of Variance With Two or Three Factors. 6.1. The two-factor model. 6.2. Pairwise comparisons. 6.3. A two-factor random effects model. 6.4. The latin square. 6.5. Three-factor analysis of variance.
ISBN
  • 0412042614
  • 9780412042614
LCCN
  • 93007474
  • 9780412042614
OCLC
  • ocm27812452
  • 27812452
  • SCSB-9202349
Owning Institutions
Princeton University Library