Logistic Regression with Missing Values in the Covariates / by Werner Vach.
In many areas of science a basic task is to assess the influence of several factors on a quantity of interest. If this quantity is binary logistic, regression models provide a powerful tool for this purpose. This monograph presents an account of the use of logistic regression in the case where missi...
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Format: | eBook |
Language: | English |
Published: |
New York, NY :
Springer New York,
1994.
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Series: | Lecture notes in statistics (Springer-Verlag) ;
86. |
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Table of Contents:
- 1. Introduction
- I: Logistic Regression with Two Categorical Covariates
- 2. The complete data case
- 3. Missing value mechanisms
- 4. Estimation methods
- 5. Quantitative comparisons: Asymptotic results
- 6. Quantitative comparisons: Results from finite sample size simulation studies
- 7. Examples
- 8. Sensitivity analysis
- II: Generalizations
- 9. General regression models with missing values in one of two covariates
- 10. Generalizations for more than two covariates
- 11. Missing values and subsampling
- 12. Further Examples
- 13. Discussion
- Appendices
- A. 1 ML Estimation in the presence of missing values A.2 The EM algorithm
- B. 1 Explicit representation of the score function of ML Estimation and the information matrix in the complete data case
- B. 2 Explicit representation of the score function of ML Estimation and the information matrix
- B. 3 Explicit representation of the quantities used for the asymptotic variance of the PML estimates
- B. 4 Explicit representation of the quantities used for the asymptotic variance of the estimates of the Filling method
- References
- Notation Index.