How often likelihood ratios are misleading in sequential trials

Communications in Statistics - Theory and Methods

Volumn 37, Issue 8, 2008, Pages 1193-1206

  Blume, Jeffrey D ^a  

^a BROWN UNIVERSITY   (United States)

Author keywords

Brownian motion; Law of likelihood; Misleading evidence; Sequential trials

Indexed keywords

BOUNDARY CONDITIONS; BROWNIAN MOVEMENT; MAXIMUM LIKELIHOOD ESTIMATION; PARAMETER ESTIMATION;

LAW OF LIKELIHOOD; MISLEADING EVIDENCE; SEQUENTIAL TRIALS;

PROBABILITY DISTRIBUTIONS;

EID: 39449106583     PISSN: 03610926     EISSN: 1532415X     Source Type: Journal    
DOI: 10.1080/03610920701713336     Document Type: Article

References (21)

1. Barnard, G. A. (1947). Review of Wald, A. Sequential Analysis. Journal of the American Statistical Association 42:658-664.
2. Berger, J. O., Wolpert, R. L. (1988). The Likelihood Principle. 2nd ed. In: Gupta, S. S., ed. Institute of Mathematical Statistics Lecture Note - Monograph Series, Vol. 6. Hayward, CA: IMS (Institute of Mathematical Statistics).
3. Birnbaum, A. (1962). On the foundations of statistical inference (with discussion). Journal of the American Statistical Association 53:259-326.
4. Blume, J. D. (2002). Likelihood methods for measuring statistical evidence. Statistics in Medicine 21:2563-2599.
5. Blume, J. D., Peipert, J. F. (2003). What your statistician never told you about p-values. Journal of the American Association of Gynecologic Laparoscopists 10:439-444.
6. Blume, J. D. (2005). How to choose a working model for measuring statistical evidence about a regression parameter. International Statistical Review 73:351-363.
7. Blume, J. D., Su, L., Acosta, L., McGarvey, S. (2007). Statistical evidence for GLM parameters: A robust likelihood approach. Statistics in Medicine 26:2919-2936.
8. Blume, J. D. (2007). Supplementary material for "How often likelihood ratios are misleading in sequential trials." See author's website.
9. Edwards, A. W. F. (1972). Likelihood. London: Cambridge University Press.
10. Goodman, S. N. (1998). Multiple comparisons, explained. American Journal of Epidemiology 147:807-812.
11. Goodman, S. N., Royall, R. M. (1988). Evidence and scientific research. American Journal of Public Health 78:1568-1574.
12. Hacking, I. (1965). Logic of Statistical Inference. New York: Cambridge University Press.
13. Jeffreys, H. (1961). Theory of Probability. 3rd ed. Oxford: Oxford University Press.
14. Pratt, J. W. (1977). Decisions' as statistical evidence and Birnbaum's confidence concept. Synthese 36:59-69.
15. Robbins, H. (1970). Statistical methods related to the law of the iterated logarithm. Annals of Mathematical Statistics 41:1397-1409.
16. Royall, R. M. (1986). The effect of sample size on the meaning of significant tests. American Statistician 40:313-315.
17. Royall, R. (1997). Statistical Evidence: A Likelihood Paradigm. New York: Chapman and Hall.
18. Royall, R. (2000). On the probability of observing misleading statistical evidence (with discussion). Journal of the American Statistical Association 95:760-767.
19. Siegmund, D. (1985). Sequential Analysis: Tests and Confidence Intervals. New York: Springer-Verlag.
20. Smith, C. A. B. (1953). The detection of linkage in human genetics. Journal of the Royal Statistical Society, Series B 15:153-192.
21. Wald, A. (1947). Sequential Analysis. New York: Wiley and Sons.