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Generalized, linear, and mixed models / / Charles E. McCulloch, Shayle R. Searle
Generalized, linear, and mixed models / / Charles E. McCulloch, Shayle R. Searle
Autore McCulloch Charles E.
Pubbl/distr/stampa New York, [New York] : , : John Wiley & Sons, Ltd, , 2001
Descrizione fisica 1 online resource (358 p.)
Disciplina 519.5
519.535
Collana Wiley Series in Probability and Statistics., Texts, References, and Pocketbooks Section
Soggetto topico Linear models (Statistics)
Soggetto genere / forma Electronic books.
ISBN 1-280-27278-3
9786610272785
0-470-34244-7
0-471-65404-3
0-471-72207-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto CONTENTS; PREFACE; 1 INTRODUCTION; 1.1 MODELS; a. Linear models (LM) and linear mixed models (LMM); b. Generalized models (GLMs and GLMMs); 1.2 FACTORS, LEVELS, CELLS, EFFECTS AND DATA; 1.3 FIXED EFFECTS MODELS; a. Example 1: Placebo and a drug; b. Example 2: Comprehension of humor; c. Example 3: Four dose levels of a drug; 1.4 RANDOM EFFECTS MODELS; a. Example 4: Clinics; b. Notation; i. Properties of random effects in LMMs; ii. The notation of mathematical statistics; iii. Variance of y; iv. Variance and conditional expected values; c. Example 5: Ball bearings and calipers
1.5 LINEAR MIXED MODELS (LMMs)a. Example 6: Medications and clinics; b. Example 7: Drying methods and fabrics; c. Example 8: Potomac River Fever; d. Regression models; e. Longitudinal data; f. Model equations; 1.6 FIXED OR RANDOM?; a. Example 9: Clinic effects; b. Making a decision; 1.7 INFERENCE; a. Estimation; i. Maximum likelihood (ML); ii. Restricted maximum likelihood (REML); iii. Solutions and estimators; iv. Bayes theorem; v. Quasi-likelihood estimation; vi. Generalized estimating equations; b. Testing; i. Likelihood ratio test (LRT); ii. Wald's procedure; c. Prediction
1.8 COMPUTER SOFTWARE1.9 EXERCISES; 2 ONE-WAY CLASSIFICATIONS; 2.1 NORMALITY AND FIXED EFFECTS; a. Model; b. Estimation by ML; c. Generalized likelihood ratio test; d. Confidence intervals; i. For means; ii. For differences in means; iii. For linear combinations; iv. For the variance; e. Hypothesis tests; 2.2 NORMALITY, RANDOM EFFECTS AND ML; a. Model; i. Covariances caused by random effects; ii. Likelihood; b. Balanced data; i. Likelihood; ii. ML equations and their solutions; iii. ML estimators; iv. Expected values and bias; v. Asymptotic sampling variances; vi. REML estimation
c. Unbalanced datai. Likelihood; ii. ML equations and their solutions; iii. ML estimators; d. Bias; e. Sampling variances; 2.3 NORMALITY, RANDOM EFFECTS AND REML; a. Balanced data; i. Likelihood; ii. REML equations and their solutions; iii. REML estimators; iv. Comparison with ML; v. Bias; vi. Sampling variances; b. Unbalanced data; 2.4 MORE ON RANDOM EFFECTS AND NORMALITY; a. Tests and confidence intervals; i. For the overall mean, μ; ii. For σ[sup(2)]; iii. For σ[sup(2)][sub(a)]; b. Predicting random effects; i. A basic result; ii. In a 1-way classification
2.5 BERNOULLI DATA: FIXED EFFECTSa. Model equation; b. Likelihood; c. ML equations and their solutions; d. Likelihood ratio test; e. The usual chi-square test; f. Large-sample tests and intervals; g. Exact tests and confidence intervals; h. Example: Snake strike data; 2.6 BERNOULLI DATA: RANDOM EFFECTS; a. Model equation; b. Beta-binomial model; i. Means, variances, and covariances; ii. Overdispersion; iii. Likelihood; iv. ML estimation; v. Large-sample variances; vi. Large-sample tests and intervals; vii. Prediction; c. Legit-normal model; i. Likelihood; ii. Calculation of the likelihood
iii. Means, variances, and covariances
Record Nr. UNINA-9910143186203321
McCulloch Charles E.  
New York, [New York] : , : John Wiley & Sons, Ltd, , 2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Generalized, linear, and mixed models / / Charles E. McCulloch, Shayle R. Searle
Generalized, linear, and mixed models / / Charles E. McCulloch, Shayle R. Searle
Autore McCulloch Charles E.
Pubbl/distr/stampa New York, [New York] : , : John Wiley & Sons, Ltd, , 2001
Descrizione fisica 1 online resource (358 p.)
Disciplina 519.5
519.535
Collana Wiley Series in Probability and Statistics., Texts, References, and Pocketbooks Section
Soggetto topico Linear models (Statistics)
ISBN 1-280-27278-3
9786610272785
0-470-34244-7
0-471-65404-3
0-471-72207-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto CONTENTS; PREFACE; 1 INTRODUCTION; 1.1 MODELS; a. Linear models (LM) and linear mixed models (LMM); b. Generalized models (GLMs and GLMMs); 1.2 FACTORS, LEVELS, CELLS, EFFECTS AND DATA; 1.3 FIXED EFFECTS MODELS; a. Example 1: Placebo and a drug; b. Example 2: Comprehension of humor; c. Example 3: Four dose levels of a drug; 1.4 RANDOM EFFECTS MODELS; a. Example 4: Clinics; b. Notation; i. Properties of random effects in LMMs; ii. The notation of mathematical statistics; iii. Variance of y; iv. Variance and conditional expected values; c. Example 5: Ball bearings and calipers
1.5 LINEAR MIXED MODELS (LMMs)a. Example 6: Medications and clinics; b. Example 7: Drying methods and fabrics; c. Example 8: Potomac River Fever; d. Regression models; e. Longitudinal data; f. Model equations; 1.6 FIXED OR RANDOM?; a. Example 9: Clinic effects; b. Making a decision; 1.7 INFERENCE; a. Estimation; i. Maximum likelihood (ML); ii. Restricted maximum likelihood (REML); iii. Solutions and estimators; iv. Bayes theorem; v. Quasi-likelihood estimation; vi. Generalized estimating equations; b. Testing; i. Likelihood ratio test (LRT); ii. Wald's procedure; c. Prediction
1.8 COMPUTER SOFTWARE1.9 EXERCISES; 2 ONE-WAY CLASSIFICATIONS; 2.1 NORMALITY AND FIXED EFFECTS; a. Model; b. Estimation by ML; c. Generalized likelihood ratio test; d. Confidence intervals; i. For means; ii. For differences in means; iii. For linear combinations; iv. For the variance; e. Hypothesis tests; 2.2 NORMALITY, RANDOM EFFECTS AND ML; a. Model; i. Covariances caused by random effects; ii. Likelihood; b. Balanced data; i. Likelihood; ii. ML equations and their solutions; iii. ML estimators; iv. Expected values and bias; v. Asymptotic sampling variances; vi. REML estimation
c. Unbalanced datai. Likelihood; ii. ML equations and their solutions; iii. ML estimators; d. Bias; e. Sampling variances; 2.3 NORMALITY, RANDOM EFFECTS AND REML; a. Balanced data; i. Likelihood; ii. REML equations and their solutions; iii. REML estimators; iv. Comparison with ML; v. Bias; vi. Sampling variances; b. Unbalanced data; 2.4 MORE ON RANDOM EFFECTS AND NORMALITY; a. Tests and confidence intervals; i. For the overall mean, μ; ii. For σ[sup(2)]; iii. For σ[sup(2)][sub(a)]; b. Predicting random effects; i. A basic result; ii. In a 1-way classification
2.5 BERNOULLI DATA: FIXED EFFECTSa. Model equation; b. Likelihood; c. ML equations and their solutions; d. Likelihood ratio test; e. The usual chi-square test; f. Large-sample tests and intervals; g. Exact tests and confidence intervals; h. Example: Snake strike data; 2.6 BERNOULLI DATA: RANDOM EFFECTS; a. Model equation; b. Beta-binomial model; i. Means, variances, and covariances; ii. Overdispersion; iii. Likelihood; iv. ML estimation; v. Large-sample variances; vi. Large-sample tests and intervals; vii. Prediction; c. Legit-normal model; i. Likelihood; ii. Calculation of the likelihood
iii. Means, variances, and covariances
Record Nr. UNINA-9910830548303321
McCulloch Charles E.  
New York, [New York] : , : John Wiley & Sons, Ltd, , 2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui