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psy400ch14p348-357

omnibus null hypothesis

TermDefinition
Omnibus null hypothesis In analysis of variance, the null hypothesis that all group means are equal (Ho=mu1=mu2=mu3)
Eta squared ( η2) An effect size measure for one-way analysis of variance.
η2= SSbetween/SStotal
Familywise error rate The probability of committing at least one type 1 error across multiple significance tests.
Multiple comparison test control type I error rate when multiple significance tests are applied to the same data set
Multiple comparison test examples Bonferroni-Dunn test, Tukey’s HSD test, the Newman-Keuls method, Dunnett's test, and the Scheffe method.
Repeated Measures One-Way ANOVA (Within Subjects) tests differences of means across a single factor in which the same participants provide measurements for each factor level
Repeated Measures One-Way ANOVA (Within Subjects) Assumptions: Interval- or ratio-level data. Random sampling, independence of subjects. normally distributed, sphericity of k populations
Repeated Measures One-Way ANOVA (Within Subjects) Nonparametric alternative: Friedman test
Sphericity repeated-measures analysis of variance assumption that requires variances of the differences between all pairs of groups be approximately equal.
repeated-measures ANOVA effect size is commonly measured by η2= (SS condition)/(SS total- SS participant)
Two-way ANOVA compares means when the experimental design includes two factors.
Two-way ANOVA assumptions: between-subjects one-way ANOVA and all cells have the same number of observations
Main effect The pattern of means across the different levels of a single factor in an analysis of variance design, averaging over any other factors
Interaction effect: A measure of the extent to which the effect of one factor depends on the levels of the other factor
COMPARING COUNTS/FREQUENCIES use nominal/categorical variables
2x2 Tables first transform the counts to percentages
For 2X2 contingency tables, the most common measure of effect size is the coefficient φ (phi)
Odds ratio A measure of association between two variables, each of which has only two possible values
the odds ratio is computed as ad/bc (ratio of the product of the diagonal cells)
An odds ratio of 1 would indicate that men and women are equally likely to prefer candidate A to candidate B
The χ² (chi) test is commonly applied to contingency tables
χ² (chi) test assumptions Random sampling a nd independence of observations. 2 X 2 tables, all expected frequencies at least 5. For larger tables, 80% of expected cell frequencies should be at least 5, and none should be 0
A common effect size measure for RxC contingency tables is Cramer’s V (also called Cramer's φ), which ranges from 0 to 1
Created by: james22222222
 

 



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