Tukey's honestly significant difference test

E371261

Tukey's honestly significant difference test is a statistical post-hoc procedure used to determine which specific group means differ after an ANOVA indicates a significant overall effect.

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Predicate Object
instanceOf multiple comparison procedure
pairwise comparison method
post-hoc test
statistical test
alsoKnownAs Tukey's HSD test
Tukey's honestly significant difference procedure
Tukey's range test
appliesTo all pairwise comparisons of group means
assumes homogeneity of variances
independent observations
normally distributed errors
basedOn studentized range distribution
canBeUsedWith unequal sample sizes with approximations
category parametric test
commonlyUsedIn agricultural experiments
biomedical research
experimental design analysis
psychology research
compares absolute differences between group means
controls family-wise error rate
decisionRule declare difference significant if mean difference exceeds HSD critical value
developedBy John Tukey
linked to: John W. Tukey
field statistics
implementedIn Python statistical libraries
R
SAS
SPSS
linked to: IBM SPSS Statistics

Stata
input group means
mean square error from ANOVA
sample sizes per group
lessConservativeThan Scheffé's method
moreConservativeThan Fisher's LSD test
output critical difference between means
significance decisions for each pair of means
purpose to control family-wise error rate in multiple comparisons
to determine which specific group means differ
relatedTo Bonferroni correction
Dunnett's test
Fisher's LSD test
Scheffé's method
requires equal sample sizes for exact critical values
pre-specified significance level alpha
significant overall ANOVA F-test before application
subfield analysis of variance methods
inferential statistics
usedAfter analysis of variance
one-way ANOVA
usesStatistic studentized range statistic q

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Referenced by (9)

Full triples — surface form annotated when it differs from this entity's canonical label.

John W. Tukey developedConcept Tukey's honestly significant difference test
John W. Tukey knownFor Tukey test
subject linked to: Tukey
linked to: Tukey's honestly significant difference test
John W. Tukey knownFor Tukey’s honestly significant difference test
subject linked to: Tukey
linked to: Tukey's honestly significant difference test
Tukey's range test alsoKnownAs Tukey's HSD test
linked to: Tukey's honestly significant difference test
Tukey's range test alsoKnownAs Tukey's Honestly Significant Difference test
linked to: Tukey's honestly significant difference test
Tukey's range test alsoKnownAs Tukey's honestly significant difference procedure
linked to: Tukey's honestly significant difference test
Tukey's honestly significant difference test alsoKnownAs Tukey's honestly significant difference procedure
linked to: Tukey's honestly significant difference test
John W. Tukey knownFor Tukey test
subject linked to: John
linked to: Tukey's honestly significant difference test
John W. Tukey knownFor Tukey’s honestly significant difference test
subject linked to: John
linked to: Tukey's honestly significant difference test