SVboundsharp {SelectionBias}

Check if the Smith and VanderWeele bound in the subpopulation is sharp

Description

SVboundsharp() returns a string that indicates if the SV bound is sharp or if it's inconclusive. If the bias is negative, the recoding of the treatment has to be done manually.

Usage

SVboundsharp(BF_U, pY1_T0_S1)

Arguments

BF_U

Input scalar. The bounding factor for the SV bounds in the subpopulation. Must be equal to or above 1. Can be inserted directly or as output from sensitivityparametersM().

pY1_T0_S1

Input scalar. The probability P(Y=1|T=0,I_S=1).

Value

A string stating if the SV bound is sharp or inconclusive.

References

Smith, Louisa H., and Tyler J. VanderWeele. "Bounding bias due to selection." Epidemiology (Cambridge, Mass.) 30.4 (2019): 509.

Zetterstrom, Stina, and Ingeborg Waernbaum. "SelectionBias: An R Package for Bounding Selection Bias." arXiv preprint arXiv:2302.06518 (2023).

Examples

# Example where the SV bound is sharp.
SVboundsharp(BF_U = 1.56, pY1_T0_S1 = 0.33)

# Example where the SV bound is inconclusive.
SVboundsharp(BF_U = 2, pY1_T0_S1 = 0.8)