Description Usage Arguments Details Value References See Also Examples
View source: R/MangatSinghSinghUB.R
Computes the randomized response estimation, its variance estimation and its confidence interval through the Mangat-Singh-Singh model (Mangat el al., 1992) when the proportion of people bearing the innocuous attribute is unknown. The function can also return the transformed variable. The Mangat-Singh-Singh-UB model can be seen in Chauduri (2011, page 54).
1 |
I |
first vector of the observed variable; its length is equal to n (the sample size) |
J |
second vector of the observed variable; its length is equal to n (the sample size) |
p1 |
proportion of marked cards with the sensitive attribute in the first box |
p2 |
proportion of marked cards with the sensitive attribute in the second box |
pi |
vector of the first-order inclusion probabilities |
type |
the estimator type: total or mean |
cl |
confidence level |
N |
size of the population. By default it is NULL |
pij |
matrix of the second-order inclusion probabilities. By default it is NULL |
A person labelled i who is chosen, is instructed to say "yes" if he/she bears A, and if not, to randomly take a card from a box containing cards marked A,B in proportions p_1 and (1-p_1),(0<p_1<1); they are then told to report the value x_i if a B-type card is chosen and he/she bears B; otherwise he/she is told to report "No". This entire exercise is to be repeated independently with the second box with A and B-marked cards in proportions p_2 and (1-p_2),(0<p_2<1,p_2\neq p_1). Let I_i the first response and J_i the second response for the respondent i.
The transformed variable is r_i=\frac{(1-p_2)I_i-(1-p_1)J_i}{p_1-p_2} and the estimated variance is \widehat{V}_R(r_i)=r_i(r_i-1).
Point and confidence estimates of the sensitive characteristics using the Mangat-Singh-Singh-UB model. The transformed variable is also reported, if required.
Chaudhuri, A. (2011). Randomized response and indirect questioning techniques in surveys. Boca Raton: Chapman and Hall, CRC Press.
Mangat, N.S., Singh, R., Singh, S. (1992). An improved unrelated question randomized response strategy. Calcutta Statistical Association Bulletin, 42, 277-281.
1 2 3 4 5 6 7 | N=802
data(MangatSinghSinghUBData)
dat=with(MangatSinghSinghUBData,data.frame(I,J,Pi))
p1=0.6
p2=0.8
cl=0.95
MangatSinghSinghUB(dat$I,dat$J,p1,p2,dat$Pi,"mean",cl,N)
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