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Določitev velikosti vzorca : delo diplomskega seminarja
ID Rupnik, Teja (Author), ID Pohar Perme, Maja (Mentor) More about this mentor... This link opens in a new window

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Abstract
V svoji diplomski nalogi sem prikazala izpeljave velikosti vzorca pri različnih statističnih raziskavah in različnih pogojih, ki so jim rezultati raziskav morali zadostovati. Prikazala sem, kako formulo za določitev velikost vzorca izpeljemo iz intervala zaupanja oziroma stopnje značilnosti, iz moči testa, kdaj uporabimo aproksimacije in postopek iteracij ter kako ustrezno velikost vzorca poiščemo s tabeliranjem in iskanjem ničel. Izpeljave sem prikazala na asimptotsko normalno porazdeljenih, eksaktno normalno porazdeljenih, nesimetrično porazdeljenih in $\chi^2$-porazdeljenih testnih statistikah za oceno deleža, povprečne vrednosti, Pearsonovega koeficienta korelacije, razmerja obetov in variance. Ugotovila sem, da iz normalno porazdeljenih testnih statistikah, formulo za velikost vzorca izpeljemo direktno iz intervala zaupanja in moči testa, medtem ko pri testnih statistikah, ki niso normalno porazdeljene, uporabimo aproksimacije in iteracijo ali poiščemo iskano velikost vzorca s pomočjo tabeliranja ter z iskanjem ničel.

Language:Slovenian
Keywords:statistična raziskava, velikost vzorca, moč testa, interval zaupanja, Cohenova velikost učinka
Work type:Final seminar paper
Typology:2.11 - Undergraduate Thesis
Organization:FMF - Faculty of Mathematics and Physics
Year:2018
PID:20.500.12556/RUL-103576 This link opens in a new window
UDC:519.2
COBISS.SI-ID:18442073 This link opens in a new window
Publication date in RUL:20.09.2018
Views:1667
Downloads:334
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Secondary language

Language:English
Title:Sample size determination
Abstract:
In my thesis I was solving sample size estimations problems in different statistical analysis with different conditions, witch had to be fulfilled. I demonstrated how to dissolve equation for sample size from confidence interval or significance level alpha, from power of test, when to use approximation and iteration, how to estimate sample size from generated table and with root finding. I will show derived formulas from asymptotic normal distribution, exact normal distribution, skewed distribution and $\chi^2$-distribution for sample proportion, sample average, Pearson correlation coefficient, odds ration and sample variance. I've discovered that for normal distributed test statistics sample size formula is dissolved directly from confidence interval and power of test, while for non-normal distributed test statistics we use approximations and iteration or we determined sample size based on generated table and with root finding.

Keywords:statistical analysis, sample size, power of test, confidence interval, Cohen's effect size

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