Bias in linear model power and sample size due to estimating variance

Communications in Statistics - Theory and Methods

Volumn 26, Issue 4, 1997, Pages 839-851

  Muller, Keith E ^a   Pasour, Virginia B ^a  

^a IL   (United States)

Author keywords

Confidence bounds; Effect size; Meta analysis

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; MATHEMATICAL MODELS; PARAMETER ESTIMATION;

CONFIDENCE BOUNDS; GENERAL LINEAR UNIVARIATE MODELS; META ANALYSIS;

STATISTICAL METHODS;

EID: 0031108569     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610929708831953     Document Type: Article

References (15)

1. Abramowitz, M., and Stegun, I. A. (1964). Handbook of Mathematical Functions, New York: Dover Publications.
2. Browne, R. H. (1995). "On the use of a pilot sample for sample size determination," Statistics in Medicine, 14, 1933-1940.
3. Cohen, A., and Sackrowitz, H. B. (1996). "Lower confidence bounds using pilot samples with an application to auditing," Journal of the American Statistical Association, 91, 338-342.
4. Falk, R. J., Hogan, S. L., Muller, K. E., and Jennette, J. C. (1992). "Treatment of progressive membranous glomerulopathy," Annals of Internal Medicine, 6, 438-445.
5. Gradshteyn, I. S. and Ryzhik, I. M. (1994). Table of Integrals, Series, and Products (5th edition, Alan Jeffrey, Ed), New York: Academic Press.
6. Johnson, N. L., and Kotz, S. (1970a). Continuous Univariate Distributions-1, New York: Wiley.
7. Johnson, N. L., and Kotz, S. (1970b). Continuous Univariate Distributions-2, Boston: Houghton Mifflin.
8. Muller, K. E., Barton, C. N., and Benignus, V. A. (1984). "Recommendations for appropriate statistical practice in toxicologic experiments," Neurotoxicology, 5, 113-126.
9. Muller, K. E., and Benignus, V. A. (1992). "Increasing scientific power with statistical power," Neurotoxicology and Teratology, 14, 211-219.
10. Muller, K. E., LaVange, L. M., Ramey, S. L., and Ramey, C. T. (1992). "Power calculations for general linear multivariate models including repeated measures applications," Journal of the American Statistical Association, 87, 1209-1226.
11. O'Brien, R. G., and Muller, K. E. (1993). "A unified approach to statistical power for t-tests to multivariate models," Chapter 8, Applied Analysis of Variance in Behavioral Sciences, L. K. Edwards, ed., p297-344, New York: Marcel Dekker.
12. Searle, S. R. (1971). Linear Models, New York: John Wiley.
13. Taylor, D. J., and Muller, K. E. (1995). "Computing confidence bounds for power and sample size of the general linear univariate model," American Statistician, 49, 43-47.
14. Taylor, D. J., and Muller, K. E. (1996). "Bias in linear model power and sample size calculation due to estimating noncentrality," Communications in Statistics: Theory and Methods, 25, 1595-1610.
15. Thisted, R. A. (1988). Elements of Statistical Computing, New York: Chapman and Hall.