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Ranžiranje in psevdoranžiranje : delo diplomskega seminarja
ID Lampič, Ian (Author), ID Smrekar, Jaka (Mentor) More about this mentor... This link opens in a new window

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Abstract
Kadar podatki ne kažejo značilnosti porazdelitve iz neke parametrične družine, uporabimo namesto parametričnih neparametrične teste. Eden izmed pomembnih testov te vrste je Wilcoxon-Mann-Whitneyjev test, ki temelji na ranžiranju podatkov. Vendar pa lahko v nekaterih primerih klasične ranžirne metode vrnejo paradoksalne rezultate, saj v primeru parnih primerjav med več porazdelitvami s k.p.f. $F_1, ..., F_a$ ne velja tranzitivnost rezultatov parnih primerjav. Kot rešitev tega problema je predlagano primerjanje z neuteženim povprečjem porazdelitvenih funkcij $F_1,\dots,F_a$, kjer je $a$ število skupin. Metodam tega tipa pravimo psevdoranžirne metode. V zadnjem delu je predstavljeno alternativno merilo učinka, t.i. obeti uspeha.

Language:Slovenian
Keywords:neparametrični test, Wilcoxon-Mann-Whitneyjev preizkus, psevdorangi, relativni učinek, normalizirana funkcija, referenčna porazdelitev, razmerje uspešnosti, obeti uspeha
Work type:Final seminar paper
Typology:2.11 - Undergraduate Thesis
Organization:FMF - Faculty of Mathematics and Physics
Year:2023
PID:20.500.12556/RUL-150018 This link opens in a new window
UDC:519.2
COBISS.SI-ID:164304643 This link opens in a new window
Publication date in RUL:13.09.2023
Views:914
Downloads:74
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Secondary language

Language:English
Title:Ranking and pseudo-ranking
Abstract:
When the data do not show the characteristics of a distribution from a particular parametric family, non-parametric tests are used instead of parametric ones. One important test of this type is the Wilcoxon-Mann-Whitney test, which is based on the ranking of the data. However, in some cases, classical ranking methods may return paradoxical results, since in case of paired comparisons of distributions with c.d.f. $F_1, \dots, F_a$ transitivity among paired comparisons does not hold. As a solution to this problem, a comparison with the unweighted average of the distribution functions $F_1,\dots,F_a$ is proposed, where $a$ is the number of groups. Methods of this type are called pseudo-ranking methods. In the last part, an alternative effect measure, the so-called win ratio, is presented.

Keywords:non-parametric test, Wilcoxon-Mann-Whitney test, pseudo-ranks, relative effect, normalized function, reference distribution, win-ratio, success-ratio

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