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Exact tests, confidence regions and estimates

Abstract

This paper proposes a uniform method for constructing tests, confidence regions and point estimates which is called exact since it reduces to Fisher's so-called exact test in the case of the hypothesis of independence in a 2 × 2 contingency table. All the wellknown standard tests based on exact sampling distributions are instances of the exact test in its general form. The likelihood ratio and x2 tests as well as the maximum likelihood estimate appears as asymptotic approximations to the corresponding exact procedures.

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References

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  • Martin-Löf, P.: 1970 ‘Statistiska modeller’, anteckningar från seminarier läsåret 1969–70 utarbetade av R. Sundberg, Institutionen för Matematisk Statistik, Stockholms Universitet.

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Martin-Löf, P. Exact tests, confidence regions and estimates. Synthese 36, 195–206 (1977). https://doi.org/10.1007/BF00486113

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  • DOI: https://doi.org/10.1007/BF00486113

Keywords

  • Likelihood Ratio
  • Maximum Likelihood Estimate
  • Point Estimate
  • Likelihood Estimate
  • Standard Test