zeta: zeta function in sensitivity analysis

In iTOS: Methods and Examples from Introduction to the Theory of Observational Studies

zeta function in sensitivity analysis

Description

Of limited interest to most users, the zeta function plays an internal role in 2-sample and stratified sensitivity analyses. The zeta function is equation (8), page 495, in Rosenbaum and Krieger (1990).

Usage

zeta(bigN, n, m, g)

Arguments

bigN	Total sample size in this stratum.
n	Treated sample size in this stratum.
m	The number of 1's in the vector u of unobserved covariates. Here, u has bigN-m 0's followed by m 1's.
g	The sensitivity parameter \Gamma, where \Gamma \ge 1.

Value

The value of the zeta function.

Note

The zeta function is called by computep. The zeta function is from the senstrat package.

Author(s)

Paul R. Rosenbaum

References

Rosenbaum, P. R. and Krieger, A. M. (1990). Sensitivity of two-sampler permutation inferences in observational studies. Journal of the American Statistical Association, 85, 493-498.

Rosenbaum, P. R. (2002). Observational Studies (2nd edition). New York: Springer. Section 4.6.

Examples

zeta(10,5,6,2)

iTOS documentation built on Sept. 11, 2024, 8:57 p.m.