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Homoscedasticity test for the linear trend

Authors: Domański, Czesław;

Homoscedasticity test for the linear trend

Abstract

W literaturze statystycznej i ekonometrycznej bardzo wyraźnie podkreśla się znaczenie i metody weryfikacji podstawowych założeń dotyczących modelu ekonometrycznego, chociaż w praktyce niezbyt często postulat ten jest realizowany. Abstract. In this paper we consider single parameter models of heteroscedastidty: linear, square, exponential, group. A significant predominance of the parametric tests over the peak tests is shown using the variability coefficient as the most natural measure of homosccdasticity and the summary Kendal statistic as a measure of a test power. Another suggestion is that it is worth using the Goldfeld-Quandt parametric test, when the growth in the variance is quite „smooth” (in other case - the classical F-lesl is better). Prevalence of the F-test over the peak test is much smaller. Zadanie pt. „Digitalizacja i udostępnienie w Cyfrowym Repozytorium Uniwersytetu Łódzkiego kolekcji czasopism naukowych wydawanych przez Uniwersytet Łódzki” nr 885/P-DUN/2014 zostało dofinansowane ze środków MNiSW w ramach działalności upowszechniającej naukę

Country
Poland
Keywords

Goldfeld-Quandt test, Fc statistic test power, F-test, peak test, quantiles, Kendal statistic homoscedasticity, heteroscedastidty

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green