• introduced by Jerzy Neyman and Egon Pearson in a paper in 1933. The NeymanPearson lemma is part of the NeymanPearson theory of statistical testing, which introduced...
    16 KB (2,804 words) - 08:55, 20 July 2024
  • Thumbnail for Statistical hypothesis test
    Fisher and Neyman/Pearson clashed bitterly. Neyman/Pearson considered their formulation to be an improved generalization of significance testing (the defining...
    81 KB (10,172 words) - 01:36, 21 September 2024
  • parameters, use of the likelihood-ratio test can be justified by the NeymanPearson lemma. The lemma demonstrates that the test has the highest power among all...
    17 KB (2,098 words) - 09:11, 20 July 2024
  • Thumbnail for Test statistic
    Abstract: "The focus was on the NeymanPearson approach to hypothesis testing. A brief historical development of the NeymanPearson approach is followed by mathematical...
    13 KB (1,099 words) - 21:44, 21 July 2024
  • development of the NeymanPearson lemma of statistical hypothesis testing. He was elected a Fellow of the Econometric Society in 1948. Pearson was President...
    7 KB (593 words) - 12:50, 15 May 2024
  • {\displaystyle P(\mathrm {error} \mid H_{1})} . In the NeymanPearson version of binary hypothesis testing, one is interested in minimizing the probability...
    5 KB (805 words) - 11:50, 15 June 2021
  • all possible tests of a given size α. For example, according to the NeymanPearson lemma, the likelihood-ratio test is UMP for testing simple (point)...
    6 KB (1,260 words) - 21:27, 25 October 2024
  • Wolfowitz. Neyman and Pearson's 1933 result inspired Wald to reformulate it as a sequential analysis problem. The Neyman-Pearson lemma, by contrast, offers...
    12 KB (1,835 words) - 00:55, 2 October 2024
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    interval into statistical hypothesis testing and, with Egon Pearson, revised Ronald Fisher's null hypothesis testing. Neyman spent the first part of his professional...
    10 KB (848 words) - 09:08, 13 September 2024
  • Thumbnail for Equivalence test
    statistical test indicates the observed data is surprising, assuming that true effects are at least as extreme as the equivalence bounds, a Neyman-Pearson approach...
    12 KB (1,353 words) - 00:09, 6 January 2024