A bootstrap test using maximum likelihood ratio statistics to check the similarity of two 3-dimensionally oriented data samples

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4 Citations (Scopus)

Abstract

Comparing three-dimensionally oriented datasets is a problem encountered in various branches of earth science. A simple statistical tool for the comparison of two 3-dimensionally oriented datasets using the bootstrap method in line with the usual nonparametric permutation test is described here. This bootstrap test involves the estimation of maximum likelihood ratio statistic for properly constructed joint frequency tables of the datasets to be compared. This test does not use asymptotic result and will work well even for small sample sizes. Also this test does not make any specific distributional assumptions.

Original languageEnglish (US)
Pages (from-to)275-284
Number of pages10
JournalMathematical Geology
Volume30
Issue number3
DOIs
StatePublished - Jan 1 1998

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Bootstrap Test
Likelihood Ratio Statistic
Maximum Likelihood
Permutation Test
Non-parametric test
Bootstrap Method
Small Sample Size
Tables
Branch
bootstrapping
Line
Earth science
Similarity
statistics
test

Keywords

  • Contingency table
  • Joint frequency table
  • Nonparametric permutation test
  • Polar coordinates

Cite this

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abstract = "Comparing three-dimensionally oriented datasets is a problem encountered in various branches of earth science. A simple statistical tool for the comparison of two 3-dimensionally oriented datasets using the bootstrap method in line with the usual nonparametric permutation test is described here. This bootstrap test involves the estimation of maximum likelihood ratio statistic for properly constructed joint frequency tables of the datasets to be compared. This test does not use asymptotic result and will work well even for small sample sizes. Also this test does not make any specific distributional assumptions.",
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author = "Sojen Joy and Snigdhansu Chatterjee",
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AB - Comparing three-dimensionally oriented datasets is a problem encountered in various branches of earth science. A simple statistical tool for the comparison of two 3-dimensionally oriented datasets using the bootstrap method in line with the usual nonparametric permutation test is described here. This bootstrap test involves the estimation of maximum likelihood ratio statistic for properly constructed joint frequency tables of the datasets to be compared. This test does not use asymptotic result and will work well even for small sample sizes. Also this test does not make any specific distributional assumptions.

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KW - Polar coordinates

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