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psy400ch14p348-357
omnibus null hypothesis
| Term | Definition |
|---|---|
| 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 |