Week 8_9 prep for ANOVA

Week 8_9 prep for ANOVA - SAN JOS STATE UNIVERSITY College...

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SAN JOSÉ STATE UNIVERSITY College of Social Work S. W. 242 Spring 2009 Edward Cohen Week 8 March 13, 2009 Review of exam Introduction to ANOVA Lab 2a, 2b (continue next week if necessary) Concepts you should know: When to use ANOVA One-way ANOVA Omnibus test F statistic Within-groups variation Between-groups variation Post-hoc tests Multiple comparisons I. Review—“Name that Statistical Test” A. Is there an association between receiving CBT and feeling less anxious (“Yes” vs “No”)? IV: Treatment Level of Measurement: Categorical (e.g. receiving vs. not r e c e i v i n g C B T ) DV: Anxiety Level of Measurement: Categorical Statistical Test: Chi-squared test of association B. Does CBT improve anxiety symptoms (based on a ratio level anxiety scale) more so than those receiving psychodynamic psychotherapy? IV: Treatment group (i.e. CBT vs. psychodynamic psychotherapy) Level of Measurement: Categorical (nominal) DV: Anxiety Level of Measurement: Continuous Statistical Test: Independent groups t -test 1
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If … Independent variable is: And dependent variable is: Statistical test is: Categorical (nominal or ordinal) Categorical (nominal or ordinal) Chi square Categorical (nominal— dichotomous, two independent groups) Ratio or interval Independent groups t -test Categorical (two dependent groups) Ratio or interval Dependent groups (or paired samples) t -test New! Categorical (nominal or ordinal) more than two attributes Ratio or interval One-way ANOVA II. When to use ANOVA? C. Remember that the t -test compared means (of ratio or interval level variables) between the attributes of a dichotomous nominal variable (e.g. a variable with only two groups or attributes such as male and female), i.e. comparing only two means at a time D. ANOVA is a distant cousin to the independent groups t -test. ANOVA is a parametric test —requires data that are normally distributed in the population. It compares means for categorical ( nominal or ordinal ) variables with three or more attributes , i.e. it compares three or more means, for example 1. Are there differences between the mean LCSW licensing test scores for MSW graduates of various ethnicities? 2. For children residing in residential treatment does the number of behavioral outbursts vary by level of self esteem (High, Medium, Low)? 3. In an experimental study of treatment for depression, clients are randomized to the following groups: 1) medication only, 2) medication plus individual psychotherapy, and 3) individual psychotherapy only. Do the clients in the “medication plus psychotherapy” group show more improved outcomes (a larger rate of change in depression scores) than the other two groups? ***Identify the independent and dependent variables in each of these scenarios.
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Week 8_9 prep for ANOVA - SAN JOS STATE UNIVERSITY College...

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