Publication details

Extended paired dependences´ test

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Authors

KNÍŽEK Jiří BERÁNEK Ladislav BOUCHAL Pavel VOJTĚŠEK Bořivoj NENUTIL Rudolf TOMŠÍK Pavel

Year of publication 2013
Type Article in Periodical
Magazine / Source International Journal of Applied Mathematics and Statistics
MU Faculty or unit

Faculty of Science

Citation
Web Web page
Field General mathematics
Keywords Decision making; Paired test of hypothesis; Biomarkers; Molecular biology; Markers
Description This paper deals with a special task following experimental practice in molecular biology. A special test construction was accomplished for this purpose. A test named Extended Paired Dependences’ Test can execute paired experiments in the following way. For the jth individual (a person, a patient, an animal, a microorganism etc.) experimental samples (dependences) in the number M_(j, diseased) are provided and simultaneously experimental samples in the number M_(j, healthy), where j = 1, 2, . . ., J. Generally, the numbers M_(j, diseased) and M_(j, healthy) need not be the same. Withal, symbol M_(j, diseased) represents number of samples obtained from, e.g., tumor tissue and M_(j, healthy) represents the number of samples obtained from healthy tissue at the same jth person. Symbol J represents the number of examined individuals (persons, patients, animals, microorganisms etc.). This test construction is relatively easily enabled with the help of the definition matrix approach. In practice, a need of the test can occur very often for miscellaneous reasons. E.g., some samples are not well done for experimental (anatomical, biochemical, etc.) reasons. Sometimes, a making of further samples can be financially too expensive or, simply, unworkable (e.g., for ethical reasons).
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