getPW: Get Misclassification Matrices for RR Models

In danheck/RRreg: Correlation and Regression Analyses for Randomized Response Data

Get Misclassification Matrices for RR Models

Description

Given some randomization probabilities p, each RR design corresponds to a misclassification matrix PW. This square matrix has entries defined as: PW[i,j] = P(respond i | true state j).

Usage

getPW(model, p, group = 1, par2 = NULL, Kukrep = 1)

Arguments

model	one of the available models in the package RRreg:
p	randomization probability
group	group index (1 or 2) for two-group designs such as "UQTunknown" or "SLD"
par2	the second, estimated parameter in two-group designs (e.g., the unknown prevalence of the irrelevant question in "UQTunknown", the t-parameter for truth in the "SLD")
Kukrep	number of replications in Kuk's RR design (how many cards are drawn)

Details

The method is used internally for estimation. Moreover, the method might be useful to check the exact definition of the RR designs.

Note that for two-group designs, the matrix depends on a second parameter that is estimated from the data (e.g., the unknown prevalence of the unknown question in the unrelated question technique). Hence, the matrix itself is not constant, but an estimate of a random variable itself.

References

van den Hout, A., & Kooiman, P. (2006). Estimating the Linear Regression Model with Categorical Covariates Subject to Randomized Response. Computational Statistics & Data Analysis, 50(11), 3311–3323.

Examples

getPW(model = "Warner", p = 2 / 12)
getPW(model = "UQTknown", p = c(2 / 12, .3))
getPW(model = "UQTunknown", p = c(2 / 12, .10 / 12), group = 2, par2 = .4)

danheck/RRreg documentation built on Dec. 3, 2022, 7:50 p.m.