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Meta-Analysis
The term meta-analysis refers to the statistical analysis of results from individual studies for purposes of integrating the findings. The person who coined the term in 1976, Gene Glass, felt that the accumulated findings of studies should be regarded as complex data points that were no more comprehensible without statistical analysis than the data points found in individual studies.
Procedures for performing meta-analysis had appeared in statistics texts and articles long before 1976, but instances of their application were rare. It took the expanding evidence in the social sciences and the growing need for research syntheses to provide impetus for the general use of meta-analysis. The explosion in social science research focused considerable attention on the lack of standardization in how scholars wishing to integrate literatures arrived at general conclusions from series of related studies. For many topic areas, a separate verbal description of each relevant study was no longer possible. One traditional strategy was to focus on one or two studies chosen from dozens or hundreds. This strategy failed to portray accurately the accumulated state of knowledge. First, this type of selective attention is open to confirmatory bias: A particular synthesist may highlight only studies that support his or her initial position. Second, selective attention to only a portion of all studies places little or imprecise weight on the volume of available tests. Finally, selectively attending to evidence cannot give a good estimate of the strength of a relationship. As evidence on a topic accumulates, researchers become more interested in “how much” rather than simply “yes or no.”
Traditional synthesists also faced problems when they considered the variation between the results of different studies. Synthesists would find distributions of results for studies sharing a particular procedural characteristic but varying on many other characteristics. They found it difficult to conclude accurately whether a procedural variation affected study outcomes because the variability in results obtained by any single method meant that the distributions of results with different methods would overlap.
It seemed, then, that there were many situations in which synthesists had to turn to quantitative synthesizing techniques, or meta-analysis. The application of quantitative inference procedures to research synthesis was a necessary response to the expanding literature. If statistics are applied appropriately, they should enhance the validity of synthesis conclusions. Metaanalysis is an extension of the same rules of inference required for rigorous data analysis in primary research.
Historical Development
At the beginning of the 20th century, Karl Pearson (1904) was asked to review the evidence on a vaccine against typhoid. He gathered data from 11 relevant studies, and for each study, he calculated a CORRELATION coefficient. He averaged these measures of the treatment's effect across two groups of studies distinguished by their outcome variable. On the basis of the average correlations, Pearson concluded that other vaccines were more effective. This is the earliest known quantitative research synthesis.
Three quarters of a century after Pearson's research synthesis, Robert Rosenthal and Donald Rubin (1978) undertook a synthesis of research studying the effects of interpersonal expectations on behavior in laboratories, classrooms, and the workplace. They found 345 studies that pertained to their hypothesis. Nearly simultaneously, Gene Glass and Mary Lee Smith (1978) conducted a review of the relation between class size and academic achievement. They found 725 estimates of the relation based on data from nearly 900,000 students. This literature revealed 833 tests of the treatment. John Hunter, Frank Schmidt, and Ronda Hunter (1979) uncovered 866 comparisons of the differential validity of employment tests for Black and White workers.
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- Analysis of Variance
- Association and Correlation
- Association
- Association Model
- Asymmetric Measures
- Biserial Correlation
- Canonical Correlation Analysis
- Correlation
- Correspondence Analysis
- Intraclass Correlation
- Multiple Correlation
- Part Correlation
- Partial Correlation
- Pearson's Correlation Coefficient
- Semipartial Correlation
- Simple Correlation (Regression)
- Spearman Correlation Coefficient
- Strength of Association
- Symmetric Measures
- Basic Qualitative Research
- Basic Statistics
- F Ratio
- N(n)
- t-Test
- X¯
- Y Variable
- z-Test
- Alternative Hypothesis
- Average
- Bar Graph
- Bell-Shaped Curve
- Bimodal
- Case
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- Cell
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- Cumulative Frequency Polygon
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- Dispersion
- Exploratory Data Analysis
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- HISTORICAL/COMPARATIVE
- Interviewing in Qualitative Research
- Latent Variable Model
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- LOG-LINEAR MODELS (CATEGORICAL DEPENDENT VARIABLES)
- Longitudinal Analysis
- Mathematics and Formal Models
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- Scaling
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- Lag Structure
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- Periodicity
- Serial Correlation
- Spectral Analysis
- Time-Series Cross-Section (TSCS) Models
- Time-Series Data (Analysis/Design)
- Trend Analysis
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