The R package episensr allows to do basic sensitivity analysis of epidemiological results as described in Applying Quantitative Bias Analysis to Epidemiological Data by Timothy L. Lash, Matthew P. Fox, and Aliza K. Fink (ISBN: 978-0-387-87960-4, bias.analysis). A similar function is available in Stata (episens).
This package is free and open source software, licensed under GPL2.
We will use a case-control study by Stang et al. on the relation between mobile phone use and uveal melanoma. The observed odds ratio for the association between regular mobile phone use vs. no mobile phone use with uveal melanoma incidence is 0.71 [95% CI 0.51-0.97]. But there was a substantial difference in participation rates between cases and controls (94% vs 55%, respectively) and so selection bias could have an impact on the association estimate. The 2X2 table for this study is the following:
|regular use||no use|
We use the function
selection as shown below.
library(episensr) selection(matrix(c(136, 107, 297, 165), dimnames = list(c("UM+", "UM-"), c("Mobile+", "Mobile-")), nrow = 2, byrow = TRUE), bias_parms = c(.94, .85, .64, .25)) #> --Observed data-- #> Outcome: UM+ #> Comparing: Mobile+ vs. Mobile- #> #> Mobile+ Mobile- #> UM+ 136 107 #> UM- 297 165 #> #> 2.5% 97.5% #> Observed Relative Risk: 0.7984287 0.6518303 0.9779975 #> Observed Odds Ratio: 0.7061267 0.5143958 0.9693215 #> --- #> #> Selection Bias Corrected Relative Risk: 1.483780 #> Selection Bias Corrected Odds Ratio: 1.634608
The 2X2 table is provided as a matrix and selection probabilities given with the
bias_parms, a vector with the 4 probabilities (guided by the participation
rates in cases and controls) in the following order: among cases exposed, among
cases unexposed, among noncases exposed, and among noncases unexposed.
The output shows the observed 2X2 table, the observed odds ratio (and relative
risk) followed by the corrected ones.
You can get the latest release from CRAN:
Or install the development version from GitHub with devtools package:
devtools::install_github('dhaine/episensr', ref = "develop")