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**Harvard**

Lantz, B. (2013) *The impact of sample non-normality on ANOVA and alternative methods*.

** BibTeX **

@article{

Lantz2013,

author={Lantz, Björn},

title={The impact of sample non-normality on ANOVA and alternative methods},

journal={British Journal of Mathematical & Statistical Psychology},

issn={0007-1102},

volume={66},

pages={224-244},

abstract={In this journal, Zimmerman (2004, 2011) has discussed preliminary tests that researchers often use to choose an appropriate method for comparing locations when the
assumption of normality is doubtful. The conceptual problem with this approach is that such a two-stage process makes both the power and the significance of the entire procedure uncertain, as type I and type II errors are possible at both stages. A type I error at the first stage, for example, will obviously increase the probability of a type II error at the second stage. Based on the idea of Schmider et al. (2010), which proposes that simulated sets of sample data be ranked with respect to their degree of normality, this paper investigates the relationship between population non-normality and sample non-normality with respect to the performance of the ANOVA, Brown–Forsythe test, Welch test, and Kruskal–Wallis test when used with different distributions, sample sizes, and effect sizes. The overall conclusion is that the Kruskal–Wallis test is considerably
less sensitive to the degree of sample normality when populations are distinctly nonnormal and should therefore be the primary tool used to compare locations when it is
known that populations are not at least approximately normal.},

year={2013},

}

** RefWorks **

RT Journal Article

SR Print

ID 185927

A1 Lantz, Björn

T1 The impact of sample non-normality on ANOVA and alternative methods

YR 2013

JF British Journal of Mathematical & Statistical Psychology

SN 0007-1102

VO 66

SP 224

OP 244

AB In this journal, Zimmerman (2004, 2011) has discussed preliminary tests that researchers often use to choose an appropriate method for comparing locations when the
assumption of normality is doubtful. The conceptual problem with this approach is that such a two-stage process makes both the power and the significance of the entire procedure uncertain, as type I and type II errors are possible at both stages. A type I error at the first stage, for example, will obviously increase the probability of a type II error at the second stage. Based on the idea of Schmider et al. (2010), which proposes that simulated sets of sample data be ranked with respect to their degree of normality, this paper investigates the relationship between population non-normality and sample non-normality with respect to the performance of the ANOVA, Brown–Forsythe test, Welch test, and Kruskal–Wallis test when used with different distributions, sample sizes, and effect sizes. The overall conclusion is that the Kruskal–Wallis test is considerably
less sensitive to the degree of sample normality when populations are distinctly nonnormal and should therefore be the primary tool used to compare locations when it is
known that populations are not at least approximately normal.

LA eng

OL 30