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PDAM #5
| Question | Answer |
|---|---|
| What methods for comparing different measures within the same sample in 2 groups with relation to categories (3) | 1, Nominal >> McNemar change test 2,Ordinal >> Wilcoxon matched-pair test 3, Interval/Ratio >> Paired-samples t test |
| What methods for comparing different measures within the same sample in with more than 2 groups with relation to categories (3) | 1, Nominal >> Cochran´s Q Test 2,Ordinal >> Friedman two-way ANOVA 3,Interval/Ratio >> Repeated-measures ANOVA |
| What are 2 assumptions for paired-samples t-test | 1, Related observation 2, Normal distribution OF THE DIFFERENCE |
| What are the 3 steps in paired samples t-test | Step 1 >> Check assumptions Step 2 >> Calculate paired samples t-test Step 3 >> Calculate effect size |
| What are the two hypothesis in paired-samples t-test | H0: x̄1=x̄2 related measures do not differ H1: x̄1≠x̄2 related measures differ |
| What is paired-sample t-test formula | t= D -x̄d / sD/√N where D ... mean difference in sample x̄d ... expected difference in population (H0) sD ... standart deviation of difference N ... sample size |
| How to calculate effect size of paired-sample t-test (2) | r =√ t²/(t²+df) d= D / sD |
| What are assumptions to compare means across 3 or more groups with ANOVA (3) | 1, independent measures/groupes 2, independent and normally distributed error/residuels 3,homogeneity of variance BUT if groups size are equal and normal ANOVA is robust |
| What is in ANOVA 1, SSt 2,SSm (2) 3,SSr (2) | 1, SSt = total variance in the data 2,SSm = 1.Variance explain by the model 2.= between groups variation 3,SSr = 1.Variance that cannot be explained the model 2. within group variation, error, residual |
| What is ANOVA F formula (2) | 1, F = (SSm/ DFm) / (SSr/DFr) 2, F = MSm / MSr |
| How to calculate grand mean in ANOVA | ∑(x) / n >>> classical arithmetic average |
| How to calculate in ANOVA 1, SSt 2, Grand Variance 3, Grande SD | 1, SSt = ∑(x-x̄(grand ))² 2, Grand Variance = SSt /(n-1) 3, Grande SD = √ Grand variance |
| How to calculate in ANOVA SSm | SSm= ∑ni(xi-x̄(grand )² where i are GROUPS |
| What are degrees of freedom in ANOVA SSm | d.f. = nr. of groups - 1 |
| How to calculate ANOVA SSr | SSr=∑for group ∑(xi-x̄(group )² calculating sum of "noise" in each group |
| What are degrees of freedom in ANOVA SSr | d.f.= total n - nr. of groups |
| How to measure effect of One-Ways ANOVA test (3) | 1, two-tailed tests with Post-Hoc Tests 2,one-tailed tests with Planned Contrast 3, results of two-tailed tests can be divided by 2 and get one tailed result |
| What is ANCOVA for (2) | 1, adjust ANOVA for an extraneous variable like BMI in medical study 2, compared to ANOVA it decreases SSr >> more explained variation through covariate |