Exact test size and power of a Gaussian error linear model for an internal pilot study

Statistics in Medicine

Volumn 18, Issue 10, 1999, Pages 1199-1214

  Coffey, Christopher S ^a   Muller, Keith E ^a  

^a IL   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL ERROR; ARTICLE; HYPOTHESIS; SAMPLE; SIMULATION; STATISTICAL ANALYSIS; STATISTICAL MODEL;

ANALYSIS OF VARIANCE; COMPUTER SIMULATION; DATA INTERPRETATION, STATISTICAL; EFFECT MODIFIERS (EPIDEMIOLOGY); HUMANS; LINEAR MODELS; PILOT PROJECTS; SAMPLE SIZE;

EID: 0033617687     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0258(19990530)18:10<1199::AID-SIM124>3.0.CO;2-0     Document Type: Article

References (18)

1. Taylor, D. J. and Muller, K. E. 'Computing confidence bounds for power and sample size of the general linear univariate model', American Statistician, 49, 43-47 (1995).
2. Muller, K. E. and Pasour, V. B. 'Bias in linear model power and sample size due to estimating variance', Communications in Statistics - Theory and Methods, 26, 839-851 (1997).
3. Taylor, D. J. and Muller, K. E. 'Bias in linear model power and sample size calculations due to estimating noncentrality', Communications in Statistics - Theory and Methods, 25, 1595-1610 (1996).
4. Wittes, J. and Brittain, E. 'The role of internal pilot studies in increasing the efficiency of clinical trials' Statistics in Medicine, 9, 65-72 (1990).
5. Stein, C. 'A two-sample test for a linear hypothesis whose power is independent of the variance', Annals of Mathematical Statistics, 16, 243-258 (1945).
6. Spurrier, J. D. 'Two-stage tests of hypothesis in the general linear model', Communications in Statistics - Theory and Methods, 11, 2775-2791 (1982).
7. Hewett, J. E. and Spurrier, J. D. 'A survey of two stage tests of hypotheses: theory and application', Communications in Statistics - Theory and Methods, 12, 2307-2425 (1983).
8. Birkett, M. A. and Day, S. J. 'Internal pilot studies for estimating sample size', Statistics in Medicine, 13, 2455-2463 (1994).
9. Seelbinder, B. M. 'On Stein's two-stage sampling scheme', Annals of Mathematical Statistics, 24, 640-649 (1953).
10. Moshman, J. 'A method for selecting the size of the initial sample in Stein's two sample procedure', Annals of Mathematical Statistics, 29, 1271-1275 (1958).
11. Sandvik, L., Erikssen, J., Mowinckel P. and Rodland, E. A. 'A method for determining the size of internal pilot studies', Statistics in Medicine, 15, 1587-1590 (1996).
12. Gould, L. A. and Shih, W. J. 'Sample size re-estimation without unblinding for normally distributed outcomes with unknown variance', Communications in Statistics - Theory and Methods, 21, 2833-2853 (1992).
13. Johnson, N. L. and Kotz, S. Continuous Univariate Distributions-1, Wiley, New York, 1970.
14. Johnson, N. L. and Kotz, S. Continuous Univariate Distributions-2, Wiley, New York, 1970.
15. Helms, R. W. 'Comparisons of parameter and hypothesis definitions in a general linear model', Communications in Statistics - Theory and Methods, 17, 2725-2753 (1988).
16. Searle, S. R. Linear Models, Wiley, New York, 1971.
17. 2 random variables', Applied Statistics, 29, 323-333 (1980).
18. Thisted, R. A. Elements of Statistical Computing, Chapman and Hall, New York, 1988.