keener: Keener's method for Rating and Ranking

In raincin: Ranking with Incomplete Information

Description

Calculate ratings and provide rankings using Keener's method, without using Laplace's Rule of Succession, and using Laplace's Rule of Succession

Usage

keener(
  jpMat,
  method = "keener",
  irreducibility = 0.01,
  ties.method = "average"
)

Arguments

jpMat	a Judge-Presenter matrix, or a User-Movie matrix
method	a character string specifying Keener's method without applying a nonlinear skweing function, including "keener", "keenerwolrs"
irreducibility	a non-negative parameter, which is the ratio of the value of each element in the pertubation matrix to the average value in the normalized proportaion matrix.
ties.method	a character string specifying how ties are treated, including "average", "first", "last", "random", "max", "min", from base::rank

Details

1. keener: Keener's method with Laplace's Rule of Succession

2. keenerwolrs: Keener's method without Laplace's Rule of Succession

1. hitsjp: HITS, using judge-presenter matrix, equivalent to offdefsc

2. offdefnt: Offense-Defense rating method, using judge-presenter matrix

Author(s)

Jiangtao Gou

References

Gou, J. and Wu, S. (2020). A Judging System for Project Showcase: Rating and Ranking with Incomplete Information. Technical Report.

Keener, J. P. (1993). The Perron-Frobenius theorem and the ranking of football teams. SIAM Review 35, 80-93.

Langville, A. N. and Meyer, C. D. (2012). Who's Number 1?: The Science of Rating and Ranking. Princeton University Press.

Examples

library(popdemo)
jpMat <- matrix(data=c(5,4,3,0, 5,5,3,1, 0,0,0,5, 0,0,2,0, 4,0,0,3, 1,0,0,4),
nrow=6,
byrow=TRUE)
result <- keener(jpMat,
method = 'keener',
irreducibility = 0)
print(result)

Example output

Welcome to popdemo! This is version 1.3-0
Use ?popdemo for an intro, or browseVignettes('popdemo') for vignettes
Citation for popdemo is here: doi.org/10.1111/j.2041-210X.2012.00222.x
Development and legacy versions are here: github.com/iainmstott/popdemo
$rating
[1] 0.2752083 0.2867473 0.2460921 0.1919523

$ranking
[1] 2 1 3 4

raincin documentation built on July 1, 2020, 5:53 p.m.