pooledVarDataAccess: Differentially Private Pooled Variance Data Access Function

In DPpack: Differentially Private Statistical Analysis and Machine Learning

Differentially Private Pooled Variance Data Access Function

Description

This function performs the data access step in the computation of a differentially private pooled variance. The true values are computed using the theoretical formula and var, while the sensitivities are calculated based on bounded and unbounded differential privacy \insertCiteKifer2011DPpack according to the theoretical values \insertCiteLiu2019bDPpack.

Usage

pooledVarDataAccess(samples, lower.bound, upper.bound, approx.n.max)

Arguments

samples	List of vectors from which to compute the pooled variance.
lower.bound	Real number giving the lower bound of the input data.
upper.bound	Real number giving the upper bound of the input data.
approx.n.max	Logical indicating whether to approximate n.max, which is defined to be the length of the largest input vector. Approximation is best if n.max is very large.

Value

List of the true pooled variance and the sensitivities calculated based on bounded and unbounded differential privacy.

References

\insertRef

Liu2019bDPpack

\insertRef

Kifer2011DPpack

Examples

pooledVarDataAccess(list(c(1,4,-2,8,-6),c(1,2),c(-5,-7)),-10,10,FALSE)

DPpack documentation built on April 8, 2023, 9:09 a.m.