Pitman Efficiencies of Kolmogorov-Smirnov Tests
Annals of Mathematical Statistics, 1971 A comparison, by means of Pitman asymptotic efficiency, is made between the Kolmogorov-Smirnov test and the locally most powerful rank and the locally asymptotically most powerful (Neyman) test for testing two-sided shifts in the two-sample problem under the assumption that the true distribution is different from the one assumed.
exaly +3 more sources
Multiplex quantitative PCR for single-reaction genetically modified (GM) plant detection and identification of false-positive GM plants linked to Cauliflower mosaic virus (CaMV) infection. [PDF]
BMC Biotechnol, 2019 BACKGROUND:Most genetically modified (GM) plants contain a promoter, P35S, from the plant virus, Cauliflower mosaic virus (CaMV), and many have a terminator, TNOS, derived from the bacterium, Agrobacterium tumefaciens. Assays designed to detect GM plants
Bak A, Emerson JB.
europepmc +3 more sources
A Condition Under Which the Pitman and Bahadur Approaches to Efficiency Coincide
Annals of Statistics, 1976 The approximate Bahadur efficiency and the Pitman efficiency for hypothesis testing problems are considered. A theorem is stated and proved which gives a condition under which the existence of the limiting (as the alternative approaches the hypothesis) approximate Bahadur efficiency implies the existence of the limiting (as the significance level ...
exaly +3 more sources
Some Properties of the Asymptotic Relative Pitman Efficiency
Annals of Statistics, 1981 A general approach to Pitman efficiency as a limit of the ratio of sample sizes is presented. The results can be used especially to derive the Pitman efficiency of tests based on asymptotically $\chi^2$-distributed statistics with different degrees of freedom.
exaly +4 more sources
Pitman Efficiencies of Sequential Tests and Uniform Limit Theorems in Nonparametric Statistics
Annals of Statistics, 1978 In this paper Pitman's method of constructing and comparing tests based on statistics which are asymptotically normal under the null hypothesis and the local alternatives is extended to sequential tests of statistical hypotheses. The asymptotic normality assumption in Pitman's theory is replaced in its sequential analogue by the weak convergence of ...
exaly +4 more sources
On bounds for the asymptotic power and on Pitman efficiencies of the Cramer-von Mises test [PDF]
Applicationes Mathematicae, 1979 Archambault, W. A. T., Mikulski, P. W.
exaly +3 more sources
Testing equality of variances in the analysis of repeated measurements [PDF]
, 1993 The problem of comparing the precisions of two instruments using repeated measurements can be cast as an extension of the Pitman-Morgan problem of testing equality of variances of a bivariate normal distribution.
Basu D. +6 more
core +9 more sources
Asymptotic Pitman's Relative Efficiency
Statistica, 2017 Pitman efficiency is the oldest known efficiency. Most of the known results for computing the Pitman efficiency take the form of bounds. Based on some recent developments due to the authors and some calculus of variations, we develop tools for computing the Pitman efficiency exactly. Their use is illustrated numerically.
Christopher S. Withers +1 more
openaire +2 more sources
An exact adaptive test with superior design sensitivity in an observational study of treatments for ovarian cancer [PDF]
, 2012 A sensitivity analysis in an observational study determines the magnitude of bias from nonrandom treatment assignment that would need to be present to alter the qualitative conclusions of a na\"{\i}ve analysis that presumes all biases were removed by ...
Rosenbaum, Paul R.
core +3 more sources
Vanishing shortcoming and asymptotic relative efficiency [PDF]
, 2000 The shortcoming of a test is the difference between the maximal attainable power and the power of the test under consideration. Vanishing shortcoming, when the number of observations tends to infinity, is therefore an optimality property of a test. Other
Inglot, Tadeusz +2 more
core +2 more sources