Sample Size for Multiple Regression: Obtaining Regression Coefficients That Are Accurate, Not Simply Significant

Psychological Methods

Volumn 8, Issue 3, 2003, Pages 305-321

  Kelley, Ken ^a   Maxwell, Scott E ^a  

^a UNIVERSITY OF NOTRE DAME   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; HUMAN; MONTE CARLO METHOD; PSYCHOLOGICAL MODEL; REGRESSION ANALYSIS;

HUMANS; MODELS, PSYCHOLOGICAL; MONTE CARLO METHOD; REGRESSION ANALYSIS;

EID: 0043109420     PISSN: 1082989X     EISSN: None     Source Type: Journal    
DOI: 10.1037/1082-989X.8.3.305     Document Type: Article

References (39)

1. Aiken, L. S., & West, S. G. (1991). Multiple regression; Testing and interpreting interactions. Newbury Park, CA: Sage.
2. Algina, J., & Olejnik, S. (2000). Determining sample size for accurate estimation of the squared multiple correlation coefficient. Multivariate Behavioral Research, 35, 119-137.
3. Babakus, E., Ferguson, C. E., & Jöreskog, K. G. (1987). The sensitivity of confirmatory maximum likelihood factor analysis to violations of measurement scale and distribution assumptions. Journal of Marketing Research, 24, 222-228.
4. Browne, M. W. (1982). Covariance structures. In D. M. Hawkings (Ed.), Topics in applied multivariate analysis (pp. 72-141). New York: Cambridge University Press.
5. Carlin, B. P., & Louis, T. A. (1996). Bayes and empirical Bayes methods for data analysis. New York: Chapman & Hall.
6. Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd ed.). Hillsdale, NJ: Erlbaum.
7. Cohen, J. (1990). Things I have learned (so far). American Psychologist, 45, 1304-1312.
8. Cohen, J. (1994). The earth is round (p < .05). American Psychologist, 49, 997-1003.
9. Cohen, J., & Cohen, P. (1983). Applied multiple regression/ correlation analysis for the behavioral sciences (2nd ed.). Hillsdale, NJ: Erlbaum.
10. Cudeck, R. (1989). Analysis of correlation matrices using covariance structure models. Psychological Bulletin, 105, 317-327.
11. Darlington, R. B. (1990). Regression and linear models. New York: McGraw-Hill.
12. Gatsonis, C., & Sampson, A. R. (1989). Multiple correlation: Exact power and sample size calculations. Psychological Bulletin, 106, 516-524.
13. Green, B. F. (1977). Parameter sensitivity in multivariate methods. Multivariate Behavioral Research, 12, 263-288.
14. Green, S. B. (1991). How many subjects does it take to do a regression analysis? Multivariate Behavioral Research, 26, 499-510.
15. Greenwald, A. G. (1975). Consequences of prejudice against the null hypothesis. Psychological Bulletin, 82, 1-20.
16. Hahn, G. J,. & Meeker, W. Q. (1991). Statistical intervals: A guide for practitioners. New York: Wiley.
17. Harris, R. J. (1985). A primer of multivariate statistics (2nd ed.). New York: Academic Press.
18. Hellmann, J. J., & Fowler, G. W. (1999). Bias, precision, and accuracy of four measures of species richness. Ecological Applications, 9, 824-834.
19. Jamshidian, M., & Bentler, P. M. (2000). Improved standard errors of standardized parameters in covariance structure models: Implications for construct explication. In R. D. Goffin & E. Helmes (Eds.), Problems and solutions in human assessment (pp. 73-94). Dordrecht, the Netherlands: Kluwer Academic.
20. Kline, R. B. (1998). Principles and practice of structural equation modeling. New York: Guilford Press.
21. Lawley, D. N., & Maxwell, A. E. (1971). Factor analysis as a statistical method (2nd ed.). London: Butterworth.
22. Loehlin, J. C. (1998). Latent variable models: An introduction to factor, path, and structural analysis (3rd ed.). Mahwah, NJ: Erlbaum.
23. MacCallum, R. C., & Austin, J. T. (2000). Applications of structural equation modeling in psychological research. Annual Review of Psychology, 51, 201-226.
24. Maxwell, S. E. (2000). Sample size and multiple regression analysis. Psychological Methods, 5, 434-458.
25. Mendoza, J. L., & Stafford, K. L. (2001). Confidence intervals, power calculation, and sample size estimation for the squared multiple correlation coefficient under the fixed and random regression models: A computer program and useful standard tables. Educational and Psychological Measurement, 61, 650-667.
26. Muller, K. E., & Benignus, V. A. (1992). Increasing scientific power with statistical power. Neurotoxicology and Teratology, 14, 211-219.
27. Raju, N. S., Bilgic, R., Edwards, J. E., & Fleer, P. F. (1999). Accuracy of population validity and cross-validity estimation: An empirical comparison of formula-based, traditional empirical, and equal weights procedures. Applied Psychological Measurement, 23, 99-115.
28. Rencher, A. C. (2000). Linear models in statistics. New York: Wiley.
29. Rossi, J. C. (1990). Statistical power of psychological research: What have we gained in 20 years? Journal of Consulting and Clinical Psychology, 58, 646-656.
30. Rozeboom, W. W. (1966). Foundations of the theory of prediction. Homewood, IL: Dorsey Press.
31. Sampson, A. R. (1974). A tale of two regressions. Journal of the American Statistical Association, 69, 682-689.
32. Sedlmeier, P., & Gigerenzer, G. (1989). Do studies of statistical power have an effect on the power of studies? Psychological Bulletin, 105, 309-316.
33. Smari, J., Petursdottir, G., & Porsteinsdottir, V. (2001). Social anxiety and depression in adolescents in relation to perceived competence and situational appraisal. Journal of Adolescence, 24, 199-207.
34. Steiger, J. H. (2001). Driving fast in reverse: The relationship between software development, theory, and education in structural equation modeling. Journal of the American Statistical Association, 96, 331-338.
35. Steiger, J. H., & Fouladi, R. T. (1997). Noncentrality interval estimation and the evaluation of statistical methods. In L. L. Harlow, S. A. Mulaik, & J. H. Steiger (Eds.), What if there were no significance tests? (pp. 221-257). Mahwah, NJ: Erlbaum.
36. Stuart, A., Ord, J. K., & Arnold, S. (1999). Kendall's advanced theory of statistics (Vol. 2A, 6th ed.). New York: Oxford University Press.
37. Thompson, B. (Ed.). (2001). Confidence intervals around effect sizes [Special issue]. Educational and Psychological Measurement, 61 (4).
38. Wainer, H. (1976). Estimating coefficients in linear models: It don't make no nevermind. Psychological Bulletin, 83, 213-217.
39. Wilkinson, L., & the American Psychological Association Task Force on Statistical Inference. (1999). Statistical methods in psychology journals: Guidelines and explanations. American Psychologist, 54, 594-604.