Textbook for the course: EHSC-GA 2045 Categorical Data Analysis (Fall 2011)

Title: Statistical Methods for Rates and Proportions 3rd ed Authors: Joseph L. Fleiss, Bruce Levin, Myunghee Cho Paik Edition: 3 Finished Date Rating: 4 Language: English Genres: Data Science, Statistics Level: entry Publishers: Wiley-Interscience Publication Date: 2003-09-05 ISBN: 978-0471526292 Format: Pdf Pages: 800 Download: Pdf |

# Ch 14

## regression models for matched samples

```
1. direct and indirect parametric modeling of matched-sample data
```

### questions

#### Is it valid to analyze data from a matched case-control study

as if they had been collected prospectively,

that is, to ignore the retrospective design and

to fit a parametric logistic regression model for P(Y|X,Z)

to estimate the disease-exposure log odds ratio?

### unmatched case-control studies

#### use logistic regression

as if the data had been collected prospectively

- consistent estimates and std errors
- all coefficients
- except the intercept term
- assume
- a correctly specified population disease prevalence model
- unbiased sampling for cases and controls

### paired case-control studies

#### use logistic regression

as if the data had been collected prospectively

- no such justification
- biased log odds ratio
- grossly misleading coefficients for other terms in the model
- the bias is negligible or extreme
- paper
- Levin and Paik (2001)

#### conditional logistic regression

- do not suffer from the above potential bias
- strong recommendation to use it