Multiple correlation
Exact power and sample size calculations
Bibliographic Data
| ID | 4424265 |
|---|---|
| Authors | Constantine Gatsonis (0000-0001-6846-4520), Miwa Sento (corresponding author), Allan R Sampson |
| Year | 1989 |
| Volume | 106 |
| Issue | 3 |
| Pages | 516-524 |
| Publication date | 1989-01-01 |
| Peer Reviewed | Yes |
| Open Access | No |
| Type | ARTICLE |
| Venue | Psychological Bulletin (JOURNAL) |
| Journal identifiers | ISSN: 0033-2909 • E-ISSN: 1939-1455 |
| Publisher | American Psychological Association (APA) (PUBLISHER) |
| DOI | 10.1037//0033-2909.106.3.516 |
| OpenAlex | W4236250458 |
| Language | EN |
| Citations received | 22 |
This article discusses power and sample size calculations for observational studies in which the values of the independent variables cannot be fixed in advance but are themselves outcomes of the study. It reviews the mathematical framework applicable when a multivariate normal distribution can be assumed and describes a method for calculating exact power and sample sizes using a series expansion for the distribution of the multiple correlation coefficient. A table of exact sample sizes for level .05 tests is provided. Approximations to the exact power are discussed, most notably those of Cohen (1977). A rigorous justification of Cohen's approximations is given. Comparisons with exact answers show that the approximations are quite accurate in many situations of practical interest. More extensive tables and a computer program for exact calculations can be obtained from the authors
Biology · Correlation · Econometrics · Myotonic dystrophy · Physical medicine and rehabilitation · Physics · Power (physics) · Sample (material) · Sample size determination · Skeletal muscle · Statistical physics · Statistics · Strain (injury) · Thermodynamics · Anatomy · Genetics · Mathematics · Medicine · Psychology · Sensory Analysis and Statistical Methods · Statistical Methods and Applications · Statistical Methods in Clinical Trials · Textile materials and evaluations
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| Unique citing works | 21 |
|---|---|
| Citations per year | 0,63 |
| Citation span | 1991 - 2026 (36) |
| Citation velocity | current |
| Highly cited | No |
| Citation types | Neutral: 21 |