The impact of sample non-normality on ANOVA and alternative methods.
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Summary
The overall conclusion is that the Kruskal-Wallis test is considerably less sensitive to the degree of sample normality when populations are distinctly non-normal and should therefore be the primary tool used to compare locations when it is known that populations are not at least approximately normal.
- Type
- article
- Published
- 2013-05-01
- Cited by
- 122
- References
- 17
- OpenAlex
- https://openalex.org/W1938640857
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:206006014
Keywords
Normality, Statistics, Type I and type II errors, Normality test, Sample size determination
References
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- Robustness to non-normality of common tests for the many-sample location problem
- QUANTITATIVE METHODS IN PSYCHOLOGY Comparison of ANOVA Alternatives Under Variance Heterogeneity and Specific Noncentrality Structures
- ON THE COMPARISON OF SEVERAL MEAN VALUES: AN ALTERNATIVE APPROACH
- G*Power 3: A flexible statistical power analysis program for the social, behavioral, and biomedical sciences
- Power comparison of non-parametric tests: Small-sample properties from Monte Carlo experiments
- Is It Really Robust
- The unicorn, the normal curve, and other improbable creatures.
- Consequences of Failure to Meet Assumptions Underlying the Fixed Effects Analyses of Variance and Covariance
- Summarizing Monte Carlo Results in Methodological Research: The One- and Two-Factor Fixed Effects ANOVA Cases
- A note on preliminary tests of equality of variances.
- 372: The Anova and Multiple Comparisons for Data with Heterogeneous Variances
- Non-Uniform Random Variate Generation
- A power primer.
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- The Impact of non-Equidistance on Anova and Alternative Methods
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- Learning to Repair Transgressions: Toddlers' Social Learning of a Reparative Prosocial Act
- An examination of inequalities in a Comprehensive School in an area of high disadvantage : what do student and practitioner perceptions tell us about the relationship between current and historical inequalities in English schools?
- Proteasome Modulates Positive and Negative Translational Regulators in Long-Term Synaptic Plasticity
- Analysis of residuals in contingency tables: Another nail in the coffin of conditional approaches to significance testing
- Normal enough? Tools to aid decision making
- A Bayesian Latent-Mixture Model Analysis Shows That Informative Samples Reduce Base-Rate Neglect.
- Open Data in Regions from the Users' Perspective: an Analytical Study
- Transparent, Accessible Accountability in Higher Education: A Sector-focused Approach
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- Information Technology Training to Promote Collaboration Among Multiple Generations
- The influence of vision on tactile Hebbian learning
- Integrating biological and social information to inform responsible ractices for recreational shark fishing
- Non‐normal data: Is ANOVA still a valid option?
- Statistical and Technical Methodologies for Duplicated Multiple-Samples Preference and Attribute Intensity Sensory Ranking Test
- Intersections of discrimination due to unemployment and mental health problems: the role of double stigma for job- and help-seeking behaviors
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