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Who's #1?

The Science of Rating and Ranking

Carl D. Meyer, Amy N. Langville

EPUB
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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Informatik, EDV

Beschreibung

The mathematics behind today's most widely used rating and ranking methods

A website's ranking on Google can spell the difference between success and failure for a new business. NCAA football ratings determine which schools get to play for the big money in postseason bowl games. Product ratings influence everything from the clothes we wear to the movies we select on Netflix. Ratings and rankings are everywhere, but how exactly do they work? Who's #1? offers an engaging and accessible account of how scientific rating and ranking methods are created and applied to a variety of uses.

Amy Langville and Carl Meyer provide the first comprehensive overview of the mathematical algorithms and methods used to rate and rank sports teams, political candidates, products, Web pages, and more. In a series of interesting asides, Langville and Meyer provide fascinating insights into the ingenious contributions of many of the field's pioneers. They survey and compare the different methods employed today, showing why their strengths and weaknesses depend on the underlying goal, and explaining why and when a given method should be considered. Langville and Meyer also describe what can and can't be expected from the most widely used systems.

The science of rating and ranking touches virtually every facet of our lives, and now you don't need to be an expert to understand how it really works. Who's #1? is the definitive introduction to the subject. It features easy-to-understand examples and interesting trivia and historical facts, and much of the required mathematics is included.

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Data set, Mathematical optimization, Result, Kendall rank correlation coefficient, Ask.com, Server (computing), Loss function, Theory, Quantity, Web search engine, PageRank, Permutation, Ranking (information retrieval), Website, Algorithm, Rank correlation, Running, Equation, Adjacency matrix, Bipartite graph, Recommender system, Addition, Weighting, Pareto principle, Linear algebra, Statistics, Summation, Weight function, Calculation, Skew-symmetric matrix, Centroid, Ranking, Bracketology, Arrow's impossibility theorem, Web page, Theorem, Logistic function, Suggestion, Accuracy and precision, Borda count, College basketball, Optimization problem, Prediction, Iterative method, Lecture, Non-dictatorship, Probability, Requirement, Mathematician, Iteration, Doubly stochastic matrix, Concordant pair, Unrestricted domain, Percentage, Integer, Arithmetic mean, Netflix, Markov chain, Number line, Subset, Proportionality (mathematics), Integer programming, Stochastic matrix, Eigenvalues and eigenvectors, Computation, Mathematical analysis, Statistic, Voting, Independence of irrelevant alternatives, Markov model