ci_mb {rankrate}

Bootstrap Confidence Intervals for Mallows-Binomial parameters.

Description

This function calculates confidence intervals for parameters in a Mallows-Binomial model using the nonparametric bootstrap.

Usage

ci_mb(
  rankings,
  ratings,
  M,
  interval = 0.9,
  nsamples = 50,
  all = FALSE,
  method = "ASTAR"
)

Arguments

rankings

A matrix of rankings, potentially with attribute "assignments" to signify separate reviewer assignments. One ranking per row.

ratings

A matrix of ratings, one row per judge and one column per object.

M

Numeric specifying maximum (=worst quality) integer rating.

interval

A numeric entry between 0 and 1 specifying the confidence interval (e.g., .90 indicates a 90% confidence interval). Defaults to 0.90.

nsamples

A numeric entry indicating desired number of bootstrap samples to be used when calculating confidence intervals. Defaults to 50.

all

A boolean indicating if estimated parameters from all bootstrap samples should be returned. Defaults to FALSE.

method

A character string indicating which estimation method to use when estimating parameters. Allowable options are currently "ASTAR", "Greedy", "GreedyLocal", and "FV". Defaults to exact search, "ASTAR".

Value

A list with elements ci, a matrix of confidence intervals for Mallows-Binomial parameters, ci_ranks, a matrix of confidence intervals for object ranks, bootstrap_pi0, a matrix of bootstrap consensus rankings (returned only if all==TRUE), and bootstrap_ptheta, a matrix of bootstrap estimates of (p,theta) (returned only if all==TRUE).

Examples

data("ToyData1")
ci_mb(ToyData1$rankings,ToyData1$ratings,ToyData1$M,method="ASTAR",all=TRUE)