The paper provides a nonparametric test for the identity of two continuous univariate distribution functions when observations are drawn in pairs from the populations, by adopting a sampling scheme which, using Mann-Whitney scores, generalizes the existing inverse binomial sampling technique. Some exact performance characteristics of the proposed test are formulated and compared numerically with existing competitors of the proposed test. The applicability of the proposed test is illustrated using real-life data.

U BANDYOPADHYAY

A BISWAS

University of Calcutta (informally known as Calcutta University or CU) is a collegiate public state university located in Kolkata, West Bengal, India.&nbsp;Within India it is recognized as a &quot;Five-Star University&quot; and accredited &quot;A&quot; Grade by National Assessment and Accreditation Council.

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The University of Calcutta has secured the Fifth position among the Universities of India in the prestigious &quot;Indian University Ranking 2019&quot; list, released by the NIRF of the Ministry of Human Resource Development, Government of India.

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It was established on 24 January 1857, and was one of the first institutions in Asia to be established as a multidisciplinary and Western-style university. Its alumni and faculty include several heads of state, heads of government, social reformers, prominent artists, only academy award winner and Dirac medal winner in India, many Fellows of the Royal Society and five Nobel laureates as of 2019 which is highest in South Asia.

University Of Calcutta

Sequential-type nonparametric test using Mann-Whitney statistics

Journal of Applied Statistics

A multi-arm response-adaptive allocation design is developed for circular treatment outcomes. Several exact and asymptotic properties of the design are studied. Stage-wise treatment selection procedures based on the proposed response-adaptive design are also suggested to exclude the worse performing treatment(s) at earlier stages. Detailed simulation study is carried out to evaluate the proposed selection procedures. The applicability of the proposed methodologies is illustrated through a real clinical trial data on cataract surgery. © 2019 The Korean Statistical Society

Journal of the Korean Statistical Society

Multi-arm response-adaptive designs for circular responses

Statistical Advances in the Biomedical Sciences: Clinical Trials, Epidemiology, Survival Analysis, and Bioinformatics

Inverse Sampling for Clinical Trials: A Brief Review of Theory and Practice

This paper examines some non-parametric group sequential designs applicable for randomized clinical trials, for comparing two continuous treatment effects taking the observations in matched pairs, or applicable in event-based analysis. Two inverse binomial sampling schemes are considered, of which the second one is an adaptive data-dependent design. These designs are compared with some fixed sample size competitors. Power and expected sample sizes are calculated for the proposed procedures.

Australian and New Zealand Journal of Statistics

Non-parametric group sequential designs in randomized clinical trials

The female reproductive cycle of the freshwater soft-shelled turtle Lissemys punctata punctata was studied by correlating ovarian growth with changes in plasma levels of steroids (17β-estradiol and progesterone), vitellogenic indices (calcium, lipid, protein, and cholesterol), and oviductal changes (growth, glycogen, and peroxidase levels). Ovarian growth starts after winter hibernation, proceeds slowly during the preparatory phase (March-June), becomes rapid in the recrudescent phase (July), and peaks in the breeding phase (August-September). Subsequently, the follicles undergo atresia in the regressive phase (October-November), which is followed by the quiescent phase (December-February) marked by negligible ovarian growth. Plasma levels of 17β-estradiol and vitellogenic indices reflect the same pattern of change as ovarian growth. The plasma progesterone concentration remains low throughout the reproductive cycle, except that the titre reaches a postovulatory peak and then declines prior to oviposition. Oviductal mass and glycogen and peroxidase concentrations correspond to changes in plasma estradiol concentration. The findings indicate that the seasonal reproductive cycle of L. p. punctata is characterized by a single annual peak of ovarian growth and estrogen secretion compared with a double peak recorded in other single-clutch turtles.

Canadian Journal of Zoology

Seasonal pattern of ovarian growth and interrelated changes in plasma steroid levels, vitellogenesis, and oviductal function in the adult female soft-shelled turtle Lissemys punctata punctata

Sequential Analysis

GROUP SEQUENTIAL TESTS WITH OUTCOME-DEPENDENT TREATMENT ASSIGNMENT

Calcutta Statistical Association Bulletin

Some Nonparametric Group Sequential-Type Tests for Two Population Problems

Biometrics

Sequential Equivalence Testing and Repeated Confidence Intervals, with Applications to Normal and Binary Responses

Journal of the Royal Statistical Society: Series B (Methodological)

Interim Analyses: The Repeated Confidence Interval Approach

Journal	Journal of Applied Statistics
Publisher	Carfax Publishing Company
ISSN	0266-4763