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Sample size calculation for poisson endpoint using the exact distribution of difference between two poisson random variables

Publication ,  Journal Article
Menon, S; Massaro, J; Lewis, J; Pencina, M; Wang, YC; Lavin, P
Published in: Statistics in Biopharmaceutical Research
January 1, 2011

We propose a method that compares Poisson distributed outcomes. Our method uses the exact distribution of the difference between two Poisson variables to calculate the sample size required to detect a given difference with prespecified power. When the true difference between the two Poisson rates is more than 1.2 units, the number of subjects and events needed at the desired power and Type I error rate is 5-10% less than that computed by simulation based on the normal approximation method. The normal approximation method is more comparable to the exact sample size method when the difference between the rates is less than 1.2 units. The proposed method is more intuitive, efficient, and less subjective than the normal approximation method. A simple code is developed in R to estimate the sample size and critical values. © American Statistical Association Statistics in Biopharmaceutical Research.

Duke Scholars

Published In

Statistics in Biopharmaceutical Research

DOI

EISSN

1946-6315

Publication Date

January 1, 2011

Volume

3

Issue

3

Start / End Page

497 / 504

Related Subject Headings

  • 4905 Statistics
  • 0104 Statistics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Menon, S., Massaro, J., Lewis, J., Pencina, M., Wang, Y. C., & Lavin, P. (2011). Sample size calculation for poisson endpoint using the exact distribution of difference between two poisson random variables. Statistics in Biopharmaceutical Research, 3(3), 497–504. https://doi.org/10.1198/sbr.2011.10015
Menon, S., J. Massaro, J. Lewis, M. Pencina, Y. C. Wang, and P. Lavin. “Sample size calculation for poisson endpoint using the exact distribution of difference between two poisson random variables.” Statistics in Biopharmaceutical Research 3, no. 3 (January 1, 2011): 497–504. https://doi.org/10.1198/sbr.2011.10015.
Menon S, Massaro J, Lewis J, Pencina M, Wang YC, Lavin P. Sample size calculation for poisson endpoint using the exact distribution of difference between two poisson random variables. Statistics in Biopharmaceutical Research. 2011 Jan 1;3(3):497–504.
Menon, S., et al. “Sample size calculation for poisson endpoint using the exact distribution of difference between two poisson random variables.” Statistics in Biopharmaceutical Research, vol. 3, no. 3, Jan. 2011, pp. 497–504. Scopus, doi:10.1198/sbr.2011.10015.
Menon S, Massaro J, Lewis J, Pencina M, Wang YC, Lavin P. Sample size calculation for poisson endpoint using the exact distribution of difference between two poisson random variables. Statistics in Biopharmaceutical Research. 2011 Jan 1;3(3):497–504.
Journal cover image

Published In

Statistics in Biopharmaceutical Research

DOI

EISSN

1946-6315

Publication Date

January 1, 2011

Volume

3

Issue

3

Start / End Page

497 / 504

Related Subject Headings

  • 4905 Statistics
  • 0104 Statistics