mbt {eba} R Documentation

### Description

Fits a Mallows-Bradley-Terry (MBT) model by maximum likelihood.

### Usage

mbt(data, bootstrap = FALSE, nsim = 1000, ...)


### Arguments

 data a data frame, the first t columns containing the ranks, the (t + 1)th column containing the frequencies bootstrap logical. Return a parametric bootstrap p-value? nsim number of bootstrap replicates ... further aguments passed to simulate

### Details

mbt provides a front end for glm. See Critchlow and Fligner (1991) and Mallows (1957) for details.

### Value

 coefficients a vector of parameter estimates (scale values) constrained to sum to unity goodness.of.fit the goodness of fit statistic including the likelihood ratio fitted vs. saturated model (-2logL), the degrees of freedom, the p-value of the corresponding chi-square distribution, and if bootstrap is TRUE the bootstrap p-value perm.idx the names of the non-zero frequency ranks y the vector of rank frequencies including zeros mbt.glm the output from a call to glm

### Author(s)

Florian Wickelmaier

### References

Critchlow, D.E., & Fligner, M.A. (1991). Paired comparison, triple comparison, and ranking experiments as generalized linear models, and their implementation in GLIM. Psychometrika, 56, 517–533. doi: 10.1007/bf02294488

Mallows, C.L. (1957). Non-null ranking models. I. Biometrika, 44, 114–130. doi: 10.1093/biomet/44.1-2.114

tartness, glm.
data(tartness)        # tartness rankings of salad dressings (Vargo, 1989)