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Table 1 Average log-binomial method and Robust Poisson method estimates*

From: A comparison of two methods for estimating prevalence ratios

  

Zero Slope

Medium Slope

High Slope

Prevalence at

X = 5

 

Intercept (SE)†

Slope (SE)

Intercept (SE)

Slope (SE)

Intercept (SE)

Slope (SE)

0.3

True Parameters

-1.2040

0.00

-1.7040

0.10

-2.2040

0.20

  

(Conv. = 100%)‡

(Conv. = 99.9%)

(Conv. = 90.9%)

 

Log-Binomial

-1.2292 (0.3250)

0.0001 (0.0559)

-1.7387 (0.3692)

0.1016 (0.0542)

-2.2512 (0.3900)

0.2046 (0.0488)

 

Robust Poisson

-1.2291 (0.3247)

0.0001 (0.0558)

-1.7426 (0.3692)

0.1023 (0.0544)

-2.2634 (0.4027)

0.2064 (0.0520)

0.5

True Parameters

-0.6931

0.00

-0.9431

0.05

-1.1931

0.10

  

(Conv. = 100%)

(Conv. = 99.8%)

(Conv. = 93.5%)

 

Log-Binomial

-0.7086 (0.2109)

0.0014 (0.0361)

-0.9512 (0.2297)

0.0501 (0.0352)

-1.2039 (0.2413)

0.1006 (0.0327)

 

Robust Poisson

-0.7088 (0.2112)

0.0015 (0.0362)

-0.9517 (0.2311)

0.0502 (0.0356)

-1.2058 (0.2477)

0.1009 (0.0345)

0.7

True Parameters

-0.3567

0.00

-0.5067

0.03

-0.6567

0.06

  

(Conv. = 99.0%)

(Conv. = 96.1%)

(Conv. = 70.3%)

 

Log-Binomial

-.3686 (0.1374)

0.0010 (0.0236)

-0.5115 (0.1485)

0.0297 (0.0226)

-0.6579 (0.1509)

0.0598 (0.0194)

 

Robust Poisson

-.3680 (0.1383)

0.0009 (0.0237)

-0.5139 (0.1513)

0.0301 (0.0234)

-0.6669 (0.1621)

0.0614 (0.0225)

  1. * Based on 1,000 simulations of the log-binomial model with a sample size of 100 and a single independent variable, X, with uniform distribution [0, 10]. The log-binomial method used the COPY method approximation when needed.
  2. † Standard Error.
  3. ‡ Percentage of times the log-binomial model converged on the original data.