Meta-Analysis

 

Syllabus

 

Syllabus

Homework

 

1,  2,  3,  4,  5,  6,  7

 

 

Lecture

Handouts & Supplemental Materials

 

 

Meta-analyst’s Checklist

Judgment calls list (Wanous)

1

Sampling Distributions, including boxplot & stem-leaf diagrams.

Background & Meta-analysis method

2

General Background

Effect Size Definitions

Effect size, p level, & vote counting.

3

Data Collection (beginning a study)

Rater reliability & ICCs

Study & ES retrieval

Effect size conversions (move from one type of effect size to another, e.g., d to r)

Rater reliability & Intraclass correlations

ICC calculator in Excel

4

Meta-analysis graphs, i.e., funnel & forest plots.

Schmidt-Hunter analysis of r

Combining Effect Sizes

Graphs

Excel program for this lecture

SH SAS program for bare-bones

SH SAS Indirect RR for this lecture

SH SAS Direct RR

 

5

Schmidt-Hunter analysis of d

Excel sheet for lecture

Excel sheet for second example

SAS program for bare-bones

SAS program for ryy correction

 

 6

Fixed-effects vs. Random-effects

Larry Hedges’ approach to meta-analysis

Fixed vs. random

Heuristic for model choice

Excel sheet for Hedges lecture

Some ES formulas and optimal weights.

 

 

7

Moderators lecture

Analog to ANOVA Exel program for effect size r

Analog to ANOVA Excel program for d

Analog to ANOVA SAS program (Wilson) for effect size r

Anolog to ANOVA SAS for d

 

Weighted regression SAS macro (Wilson)

Weighted regression SAS matrix illustration Handout on Moderators

SAS program for handout (Lipsey-Wilson weighted regression program)

 8

Dr. Jeff Kromrey’s methodological research on meta analysis

Publication Bias

Permutation Tests for linear models

Estimating the Random Effects Variance Component

Robust estimates of Effect size

9

Criticisms of Meta-analysis

 

10

McNatt illustration- fixed vs. random

[write ppt for McNatt; write exercise for Excel]

McNatt illustration text

McNatt illustration spreadsheet

 

Meta-analysis Example Programs

 

This page leads to examples of each type of meta-analysis calculated either using Microsoft Excel or SAS for the computations.  Generally speaking, both the Hedges and Hunter/Schmidt methods produce similar overall estimates of the random-effects mean and random-effects variance component (although the estimation techniques are different the actual numbers may be different).  The Hedges approach can also be used for fixed-effects meta-analysis, but I generally avoid overall fixed-effects models for meta-analysis.  The Hedges approach is commonly preferred for the analysis of moderators because it yields statistical tests of the significance of the moderator effects, and statistical tests of the residual heterogeneity (estimated variance of infinite-sample studies after accounting for the moderator) helpful for deciding on fixed versus mixed models.  The Hunter-Schmidt methods are generally preferred for analyses in which multiple artifact adjustments (adjustments for study unreliability, range restriction) are desired.

 

 

 

 

Moderators

 

Hedges and company

Fixed overall

Random overall

Categorical Moderator

Continuous Moderator

Correlation (r)

Excel   SAS

Excel   SAS

SAS fixed, SAS random

SAS

Mean diff (d)

Excel   SAS

Excel   SAS

SAS fixed, SAS random

SAS

 

 

 

 

 

 

Hunter & Schmidt

Fixed Overall

Random overall

‘bare bones’

Correction for reliability

Multiple correction (direct & indirect range restriction)

Correlation(r)

NA

Excel   SAS

Excel   SAS

Excel   SAS indirectRR, SAS directRR

Mean diff (d)

NA

Excel   SAS

Excel   SAS

Excel   SAS

 

 

 

 

 

 

 

Other

Programs

 

Monte Carlo

Sampling for d

 

Sampling for r

Filedrawer

Filedrawer for t

Graphs

 

 

 

 

Critiques

Presentations

Self-focused attention and negative affect

Reliability Generalization Powerpoint, and Paper

Critique of Big5 and Satisfaction

 Organizational Citizenship Behavior

Critique of effects of design on reliability of rating scales in marketing

 Perceived Supervisory Support

Critique of sales satisfaction meta-analysis

 Binge Eating and Depression

Work-family Conflict

 

Personality and Leadership

 

Product Safety

 

Thin images and body satisfaction

 

Relapse prevention in substance abuse

 

Counterproductive work behavior

 

Effects of feedback on task performance

 

Short term psychotherapy

 

Sex differences in spatial ability

 

Eating disorders

 

Critique of Anger Treatment MA