Rank responses based on the Bradley-Terry model with the MM method

Share:

Description

Adopt the Bradley-Terry model to rank responses in a single response question or in a multiple response question with the MM method. This method associates each response with a value 'gamma', and use this value to rank responses.

Usage

1

Arguments

data

A m x n matrix dij, where dij = 0 or 1. If the ith respondent selects the jth response, then dij = 1, otherwise dij = 0.

Value

The rank.btmm returns the associated values in the first line and the ranks of the responses in the second line.

Author(s)

Hsiuying Wang wang@stat.nctu.edu.tw,Yu-Chun Lin restart79610@hotmail.com

References

Hunter DR (2004). MM algorithms for generalized Bradley-Terry models. The Annals of Statistics, 32, 384-406.

See Also

rank.btnr,rank.btqn,rank.L2R,rank.LN,rank.gs,rank.wald

Examples

 1
 2
 3
 4
 5
 6
 7
 8
 9
10
## This is an example to rank three responses in a multiple response question when
## the number of respondents is 1000. In this example, we do not use a real data,
## but generate data in the first three lines.
A <-sample.int(2,1000,replace=TRUE,prob=c(0.37,0.63))-1
B <-sample.int(2,1000,replace=TRUE,prob=c(0.65,0.35))-1
C <-sample.int(2,1000,replace=TRUE,prob=c(0.5,0.5))-1
D <-cbind(A,B,C)
data <-matrix(D,nrow=1000,ncol=3)
## or upload the true data
rank.btmm(data)