Abstract
Sequential analysis is a statistical way of analysing cumulative data. Its goal is to come to a decision as soon as enough evidence is reached for one or another hypothesis. In this article three different statistical approaches, the frequentist, the Bayesian and the likelihood approach, are discussed in relation to sequential analysis. In particular, the less known likelihood approach is elucidated.
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Abbreviations
- LI:
-
likelihood interval
- LR:
-
likelihood ratio
- MLE:
-
maximum likelihood estimate
- SPRT:
-
sequential probability ratio test
- TT:
-
triangular test
References
Y Pawitan (2001) In all likelihood: Statistical modelling and inference using likelihood Clarendon Press Oxford
GB Wetherill KD Glazebrook (1986) Sequential methods in statistics EditionNumber3 Chapman & Hall New York
R Royall (1997) Statistical evidence. A likelihood paradigm Chapman & Hall London
P Armitage (1975) Sequential medical trials Blackwell Scientific Publications Oxford
SJ Pocock (1977) ArticleTitleGroup sequential methods in the design and analysis of clinical trials Biometrika 64 191–199
PC O’Brien TR Fleming (1979) ArticleTitleA multiple testing procedure for clinical trials Biometrics 35 549–556
DL DeMets KKG Lan (1994) ArticleTitleInterim analysis: The alpha spending function approach Stat Med 1994 IssueID13 1341–1352
J Whitehead (1997) The design and analysis of sequential clinical trials Rev EditionNumber2 Wiley Chichester
JD Blume (2002) ArticleTitleLikelihood methods for measuring statistical evidence Stat Med 21 2563–2599
Vieland VJ, Hodge SE (1998) Statistical evidence: A likelihood paradigm. Am J Hum Genet 63:283–289 (Book review)
DA Berry (1987) ArticleTitleInterim analysis in clinical trials. The role of the likelihood principle Am Stat 41 117–122
J Cornfield (1966) ArticleTitleSequential trials, sequential analysis and the likelihood principle Am Stat 20 18–23
FJ Anscombe (1963) ArticleTitleSequential medical trials JASA 58 365–383
R Royall (2000) ArticleTitleOn the probability of observing misleading statistical evidence (with discussion) JASA 95 760–780
Blume JD. On observing misleading evidence in sequential trials. http://alexander.stat.brown.edu/~jblume/slides/, 2003.
EJ Freireich EA Gehan E Frei et al. (1963) ArticleTitleThe effect of 6-mercaptopurine on the duration of steroid-induced remission in acute leukemia: A model for evaluation of other potentially useful therapy Blood 21 699–716
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van der Tweel, I. Repeated looks at accumulating data: To correct or not to correct?. Eur J Epidemiol 20, 205–211 (2005). https://doi.org/10.1007/s10654-005-0540-y
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DOI: https://doi.org/10.1007/s10654-005-0540-y