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2015 | OriginalPaper | Chapter

13. Other Useful Methods

Author : Daniel Zelterman

Published in: Applied Multivariate Statistics with R

Publisher: Springer International Publishing

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Abstract

THIS FINAL CHAPTER provides a collection of useful multivariate methods that do not fit into any of the previous chapters. The Bradley–Terry model gives a way to rank a set of objects that are subjected to pairwise comparisons. Such examples include sports teams that play against each other. Canonical correlations generalize the definition of correlation of a pair of scalar-valued variates to two groups of several variables that are considered jointly. The study of extremes allows us to examine several of the largest values in a collection of data.

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Footnotes
1
A recent visit to this website asked to viewer to choose between the better of “pig” or “castanet.”
 
2
A smaller subset of Stigler’s data is also available in R as the citation data in the BradleyTerry2 library. The interested reader can build comparisons between other journals and years using Journal Citation Reports.
 
3
Emil Julius Gumbel (1891–1966). German mathematician and political writer.
 
4
Leonhard Euler (1707–1783). Swiss physicist and mathematician.
 
5
Corrado Gini (1884–1965). Italian statistician, demographer, and social theorist.
 
Literature
go back to reference Bradley RA and Terry ME (1952). Rank analysis of incomplete block designs I: The method of paired comparisons. Biometrika, 39: 324–45. Referenced on page 341. Bradley RA and Terry ME (1952). Rank analysis of incomplete block designs I: The method of paired comparisons. Biometrika, 39: 324–45. Referenced on page 341.
go back to reference Gail MH and Gastwirth JL (1978). A scale-free goodness-of-fit test for the exponential distribution based on the Gini statistic. Journal of the Royal Statistical Society, Series B, 40: 350–357. Referenced on page 353. Gail MH and Gastwirth JL (1978). A scale-free goodness-of-fit test for the exponential distribution based on the Gini statistic. Journal of the Royal Statistical Society, Series B, 40: 350–357. Referenced on page 353.
go back to reference Hotelling H (1935) The most predictable criterion. Journal of Educational Psychology 26: 139–142. Referenced on page 344. Hotelling H (1935) The most predictable criterion. Journal of Educational Psychology 26: 139–142. Referenced on page 344.
go back to reference Stigler SM (1994). Citation patterns in the journals of statistics and probability. Statistical Science  9: 94–108. Referenced on page 340. Stigler SM (1994). Citation patterns in the journals of statistics and probability. Statistical Science  9: 94–108. Referenced on page 340.
go back to reference Weissman I (1978). Estimation of parameters and large quantiles based on the k largest observations. Journal of the American Statistical Association 73: 812–185. Referenced on page 352. Weissman I (1978). Estimation of parameters and large quantiles based on the k largest observations. Journal of the American Statistical Association 73: 812–185. Referenced on page 352.
go back to reference Zelterman D (1993). A semiparametric bootstrap technique for simulating extreme order statistics. Journal of the American Statistical Association 88: 477–485. Referenced on page 352. Zelterman D (1993). A semiparametric bootstrap technique for simulating extreme order statistics. Journal of the American Statistical Association 88: 477–485. Referenced on page 352.
Metadata
Title
Other Useful Methods
Author
Daniel Zelterman
Copyright Year
2015
DOI
https://doi.org/10.1007/978-3-319-14093-3_13

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