The Neyman-Fisher controversy considered here originated with the 1935 presentation of Jerzy Neyman’s Statistical Problems in Agricultural Experimentation to the Royal Statistical Society. Neyman asserted that the standard ANOVA F-test for randomized complete block designs is valid, whereas the analogous test for Latin squares is invalid in the sense of detecting differentiation among the treat...

Sciendo provides publishing services and solutions to academic professional organizations individual authors. We publish journals, books, conference proceedings a variety of other publications.

Confusion over the reporting and interpretation of results of commonly employed classical statistical tests is recorded in a sample of 1,645 papers from 12 psychology journals for the period 1990 through 2002. The confusion arises because researchers mistakenly believe that their interpretation is guided by a single unified theory of statistical inference. But this is not so: classical statisti...

We point out that the Neyman-Pearson lemma applies to Bayes factors if we consider expected type-1 and type-2 error rates. That is, factor is test statistic maximises power for a fixed rate. For involving simple null hypothesis, rate just completely frequentist Lastly remark on connections between Karlin-Rubin theorem uniformly most powerful tests, factors. This provides motivations computing c...

A dynamic sampling plan among strata is a permutation of sampled items specifying which stratum is to receive the next item to be included in the sample. An optimal such plan has the property of achieving minimum variance for its cost whenever it is truncated. This article shows that optimal dynamic sampling plans exist under very general conditions, and gives a simple algorithm for constructin...

Minimum Message Length (MML) is a popular method for statistical inference, belonging to the Minimum Description Length (MDL) family. It is a general name for any of several computationally-feasible approximations to the generally NP-Hard Strict Minimum Message Length (SMML) estimator. One often-cited showcase for the power of MML is the Neyman-Scott estimation problem, where most popular estim...

A very popular form of hypothesis test is the likelihood ratio test, which is a generalization of the optimal test for simple null and alternative hypotheses that was developed by Neyman and Pearson (We skipped Neyman-Pearson lemma because we are short of time). The likelihood ratio test is based on the likelihood function fn(X−1, · · · , Xn|θ), and the intuition that the likelihood function te...