Appendix B: Maximum Likelihood Theory
Published Online: 31 MAR 2003
DOI: 10.1002/0471272612.app2
Copyright © 2001 John Wiley & Sons, Inc.
Book Title
Biostatistical Methods in Epidemiology
Additional Information
How to Cite
Newman, S. C. (2003) Appendix B: Maximum Likelihood Theory, in Biostatistical Methods in Epidemiology, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471272612.app2
Publication History
- Published Online: 31 MAR 2003
- Published Print: 11 JAN 2002
Book Series:
Book Series Editors:
- David J. Balding,
- Peter Bloomfield,
- Noel A.C. Cressie,
- Nicholas I. Fisher,
- Iain M. Johnstone,
- J.B. Kadane,
- Louise M. Ryan,
- David W. Scott,
- Adrian F.M. Smith,
- Jozef L. Teugels
ISBN Information
Print ISBN: 9780471369141
Online ISBN: 9780471272618
- Summary
- Chapter
Summary
The aim of this appendix is to use maximum likelihood theory to derive formulas for variance estimates, tests of association, and tests for linear trend based on the binomial and Poisson distributions.
The section and subsection headings of the appendix are as follows:
Unconditional Maximum Likelihood
Unconditional Likelihood and Newton–Raphson Algorithm
Binomial Distribution
Unconditional Likelihood
Variance Estimate
Tests of Association
Score Test for Linear Trend
Poisson Distribution
Unconditional Likelihood
Variance Estimate
Score Test for Linear Trend
Matrix Inversion