An improved test of equality of mean directions for the Langevin-von Mises-Fisher distribution
Autor: | Pavlina Rumcheva, Brett Presnell |
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Rok vydání: | 2017 |
Předmět: |
Statistics and Probability
Anderson–Darling test One- and two-tailed tests 05 social sciences Pearson's chi-squared test 01 natural sciences Article 010104 statistics & probability symbols.namesake Sampling distribution F-test 0502 economics and business Statistics Test statistic symbols Null distribution Applied mathematics F-test of equality of variances 0101 mathematics Statistics Probability and Uncertainty 050205 econometrics Mathematics |
Zdroj: | Australian & New Zealand Journal of Statistics. 59:119-135 |
ISSN: | 1369-1473 |
DOI: | 10.1111/anzs.12183 |
Popis: | Summary A multi-sample test for equality of mean directions is developed for populations having Langevin-von Mises-Fisher distributions with a common unknown concentration. The proposed test statistic is a monotone transformation of the likelihood ratio. The high-concentration asymptotic null distribution of the test statistic is derived. In contrast to previously suggested high-concentration tests, the high-concentration asymptotic approximation to the null distribution of the proposed test statistic is also valid for large sample sizes with any fixed nonzero concentration parameter. Simulations of size and power show that the proposed test outperforms competing tests. An example with three-dimensional data from an anthropological study illustrates the practical application of the testing procedure. |
Databáze: | OpenAIRE |
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