separable1v: Asymptotic separable calculations internal to other functions.

Description

This general purpose function is internal to other functions, such as senmv in the sensitivitymv package. The function performs the asymptotic separable calculations described in Gastwirth, Krieger and Rosenbaum (2000), as used in section 4 of Rosenbaum (2007). The example is equivalent to senmv(lead150,gamma=2,method="t").

Usage

separable1v(ymat, gamma = 1)

Arguments

ymat

ymat is a matrix whose rows are matched sets and whose columns are matched individuals. The first column describes treated individuals. Other columns describe controls. If matched sets contain variable numbers of controls, NAs fill in empty spaces in y

gamma

gamma is the value of the sensitivity parameter; see the documentation for the senmv function in the sensitivitymv package. One should use a value of gamma >= 1.

Value

pvalApproximate upper bound on the one-sided P-value.
deviateDeviate that is compared to the upper tail of the standard Normal distribution to obtain the P-value.
statisticValue of the test statistic.
expectationMaximum null expectation of the test statistic for the given value of gamma.
varianceAmong null distributions that yield the maximum expectation, variance is the maximum possible variance for the given value of gamma. See Rosenbaum (2007, Section 4) and Gastwirth, Krieger and Rosenbaum (2000).

References

Gastwirth, J. L., Krieger, A. M., and Rosenbaum, P. R. (2000) Asymptotic separability in sensitivity analysis. Journal of the Royal Statistical Society B 2000, 62, 545-556.

Rosenbaum, P. R. (2007) Sensitivity analysis for m-estimates, tests and confidence intervals in matched observational studies. Biometrics, 2007, 63, 456-464.

Examples

Run this code

data(lead150)
separable1v(lead150,gamma=2)

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