مدل‌های خطی: رویکرد مدل میانگین (احتمال و آمار ریاضی)

Linear models, normally presented in a highly theoretical and mathematical style, are brought down to earth in this comprehensive textbook. **Linear Models** examines the subject from a mean model perspective, defining simple and easy-to-learn rules for building mean models, regression models, mean vectors, covariance matrices and sums of squares matrices for balanced and unbalanced data sets. The author includes both applied and theoretical discussions of the multivariate normal distribution, quadratic forms, maximum likelihood estimation, less than full rank models, and general mixed models. The mean model is used to bring all of these topics together in a coherent presentation of linear model theory. Key Features\* Provides a versatile format for investigating linear model theory, using the mean model\* Uses examples that are familiar to the student: \* design of experiments, analysis of variance, regression, and normal distribution theory\* Includes a review of relevant linear algebra concepts\* Contains fully worked examples which follow the theorem/proof presentation Linear models, normally presented in a highly theoretical and mathematical style, are brought down to earth in this comprehensive textbook. Linear Models examines the subject from a mean model perspective, defining simple and easy-to-learn rules for building mean models, regression models, mean vectors, covariance matrices and sums of squares matrices for balanced and unbalanced data sets. The author includes both applied and theoretical discussions of the multivariate normal distribution, quadratic forms, maximum likelihood estimation, less than full rank models, and general mixed models. The mean model is used to bring all of these topics together in a coherent presentation of linear model theory.

Key Features
* Provides a versatile format for investigating linear model theory, using the mean model
* Uses examples that are familiar to the student:
* design of experiments, analysis of variance, regression, and normal distribution theory
* Includes a review of relevant linear algebra concepts
* Contains fully worked examples which follow the theorem/proof presentation 000......Page 1 Preface......Page 2 01......Page 4 02......Page 26 03......Page 43 04......Page 55 05......Page 83 06......Page 106 07......Page 131 08......Page 149 09......Page 161 10......Page 177 11......Page 189 12......Page 192 13......Page 206 14......Page 208 15......Page 211 16......Page 219 17......Page 222