Likelihood-Ratio Test and F-test for Two Exponential Means Equality: a Monte Carlo Power Exploration

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62156489%3A43110%2F20%3A43918268" target="_blank" >RIV/62156489:43110/20:43918268 - isvavai.cz</a>
Result on the web
<a href="https://mme2020.mendelu.cz/wcd/w-rek-mme/mme2020_conference_proceedings_final.pdf" target="_blank" >https://mme2020.mendelu.cz/wcd/w-rek-mme/mme2020_conference_proceedings_final.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Likelihood-Ratio Test and F-test for Two Exponential Means Equality: a Monte Carlo Power Exploration
Original language description
In statistical practice, the exponential distribution is frequently evoked to explore problems of survival or utility times or in general, time to event scenarios. This study investigates power of statistical tests to verify equality of two exponential distributions: a traditional F-test and a likelihood-ratio test (LRT) in common and approximate variants. The tests were examined for power in both exact and bootstrapped forms. Two Monte Carlo simulations were set up to research the test power in response to the combined sample size, size of samples generated from the exponential distributions and mean ratio as a measure of the population means inequality. 15,000 MC runs were generated with additional 1,000 resampled data for the bootstrapped alternatives. The rejection rates generally increased with sample size, balanced samples and inequal means. Power was found inadequate for n 30 in all examined combinations. A similar power was found, when samples were balanced, although it turned divergent with more unbalanced data. The bootstrapped tests generally showed increased empirical test size relative to nominal = 0:05 and superior power over the exact tests for simulated combinations with greater means occurring in large samples.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Mathematical Methods in Economics 2020: Conference Proceedings
ISBN
978-80-7509-734-7
ISSN
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e-ISSN
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Number of pages
7
Pages from-to
11-17
Publisher name
Mendelova univerzita v Brně
Place of publication
Brno
Event location
Brno
Event date
Sep 9, 2020
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000668460800001

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