Density, Random Data Generation, and Helper FunctionsFunctions that allow for calculating the density of rankings and ratings, random sampling of Mallows and Mallows-Binomial random variables, and associated helper functions. |
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Calculate the density of rankings under a Mallows distribution |
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Calculate the density of rankings and ratings under a Mallows-Binomial distribution. |
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Random Mallows generation. |
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Random Mallows-Binomial generation |
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Normalizing constant function of a Mallows distribution, psi |
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Calculate the Kendall's tau between rankings |
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Convert ranks into rankings (orderings) |
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Calculate Q Matrix |
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Model Estimation FunctionsFunctions that allow for estimation of Mallows-Binomial models and uncertainty quantification via the nonparametric bootstrap. |
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Calculate the exact or approximate MLE of a Mallows-Binomial distribution using various methods |
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Bootstrap Confidence Intervals for Mallows-Binomial parameters. |
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Calculate the exact MLE of a Mallows-Binomial distribution using an A* algorithm |
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Estimate the MLE of a Mallows-Binomial distribution using the FV method |
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Estimate the MLE of a Mallows-Binomial distribution using the Greedy method |
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Estimate the MLE of a Mallows-Binomial distribution using the "Greedy Local" method |
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Built-In DatasetsFour data sets of rankings and ratings to demonstrate model capabilities and key functions. |
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Real peer review data set from the American Institute of Biological Sciences (AIBS) |
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Toy data set of rankings and ratings demonstrating tie-breaking |
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Toy data set of rankings and ratings demonstrating decision-making with partial rankings |
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Toy data set of rankings and ratings when judges express internally inconsistent preferences |