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In statistics, sequential analysis or sequential hypothesis testing is statistical analysis where the sample size is not fixed in advance. Instead data is evaluated as it is collected, and further sampling is stopped in accordance with a pre-defined stopping rule as soon as significant results are observed. Thus a conclusion may sometimes be reached at a much earlier stage than would be possible with more classical hypothesis testing or estimation, at consequently lower financial and/or human cost.
Essentially the same approach was independently developed at the same time by Alan Turing as part of the Banburismus technique used at Bletchley Park, to test hypotheses about whether different messages coded by German Enigma machines should be connected and analysed together. This work remained secret until the early 1980s.
See also Edit
Notes & References Edit
- ↑ Wald, Abraham (June 1945). Sequential Tests of Statistical Hypotheses. The Annals of Mathematical Statistics 16 (2): 117–186.
- ↑ B. K. Gosh and P. K. Sen (1991). Handbook of Sequential Analysis, New York: Marcel Dekker.
- Sequential Analysis: Design Methods & Applications Journal
- Abraham Wald (1947). Sequential Analysis, New York: John Wiley and Sons.
- David Siegmund (1985). Sequential Analysis, New York: Springer-Verlag.
- Course given by Rebecca Betensky at Harvard University, lecture note slides
- Software for conducting sequential analysis and applications of sequential analysis in the study of group interaction in computer-mediated communication by Dr. Allan Jeong at Florida State University
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