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Some inferential procedures in randomized repeated measurement design for binary response
Uttam Bandyopadhyay,Atanu Biswas,Shirsendu Mukherjee 한국통계학회 2011 Journal of the Korean Statistical Society Vol.40 No.3
We consider a two-treatment two-period crossover design in the presence of possible carryover effects, where the treatment responses are binary. We provide some simple probability models incorporating the possible carryover effects. Asymptotic distributions of the estimates of the parameters under the proposed models are derived. We carry out tests for treatment difference and carryover effects. Finally we use a data set to illustrate the applicability of the proposed procedures.
Nonparametric homogeneity test based on ridit reliability functional
Uttam Bandyopadhyay,Debajit Chatterjee 한국통계학회 2015 Journal of the Korean Statistical Society Vol.44 No.4
The paper provides nonparametric test procedures for comparing K (>2) unknown univariate populations, in which the tests are formulated by using consistent estimators of the ridit reliability functionals (see, for example, Bandyopadhyay and De, 2011) for comparing more than two populations. The tests are asymptotically distribution free and can be used for data on both discrete and continuous random variables. An extensive numerical study is performed to compare the proposed test with the nonparametric tests, obtained from Konietschke et al. (2012), in terms of type I error rate and power. A data study illustrates the use of such tests.
Single contrast tests for detecting trends in binomial proportions
Uttam Bandyopadhyay,Parthasarathi Chakrabarti 한국통계학회 2013 Journal of the Korean Statistical Society Vol.42 No.2
The present study is related to the detection of trends in binomial proportions. Most of the tests usually adopted to detect trends in this regard are either based on scores, the choice of which is subjective, or are difficult to administer because of being complicated. As a remedy, two single contrast tests are proposed for this purpose. Performance measures of the proposed tests are obtained numerically and are compared with those of some of the existing competitors.
Two-treatment covariate-dependent response adaptive allocation design for dichotomous response
Uttam Bandyopadhyay,Saurav De 한국통계학회 2009 Journal of the Korean Statistical Society Vol.38 No.2
In the present work we use ridit, a measure comparing two discrete random variables, to develop a two-treatment response adaptive allocation technique in the presence of a stochastic prognostic factor. Various exact and asymptotic performance measures of the proposed technique are obtained and are compared with that of the existing techniques.
Nonparametric testing under crossover design for ordered categorical response
Joydeep Basu,Uttam Bandyopadhyay,Ganesh Dutta 한국통계학회 2017 Journal of the Korean Statistical Society Vol.46 No.4
This paper uses ridit introduced by Bross (1958) to develop a nonparametric procedure for testing the difference between two treatment effects with ordered categorical outcomes under two period crossover design in which subjects receive same or different treatment during the period of study. The performance of this procedure is compared numerically with that of a procedure obtained from Armitage (1955) in terms of type I error rate and power. The numerical study shows the ridit approach to tend to relatively more efficient in terms of power as the number of categories increases. The procedures are illustrated using the data from Matthews (1989) on crossover trial with two hypertensive agents.
Debarati Chattopadhyay,Madhubari Vathulya,Manisha Naithani,Praveen A Jayaprakash,Sarika Palepu,Arkapal Bandyopadhyay,Akshay Kapoor,Uttam Kumar Nath 대한두개안면성형외과학회 2021 Archives of Craniofacial Surgery Vol.22 No.1
Background: Children with cleft lip and/or palate can be undernourished due to feeding difficulties after birth. A vicious cycle ensues where malnutrition and low body weight precludes the child from having the corrective surgery, in the absence of which the child fails to gain weight. This study aimed to identify the proportion of malnutrition, including the deficiency of major micronutrients, namely iron, folate and vitamin B12, in children with cleft lip and/or palate and thus help in finding out what nutritional interventions can improve the scenario for these children. Methods: All children less than 5 years with cleft lip and/or cleft palate attending our institute were included. On their first visit, following were recorded: demographic data, assessment of malnutrition, investigations: complete blood count and peripheral blood film examination; serum albumin, ferritin, iron, folate, and vitamin B12 levels. Results: Eighty-one children with cleft lip and/or palate were included. Mean age was 25.37± 21.49 months (range, 3–60 months). In 53% of children suffered from moderate to severe wasting, according to World Health Organization (WHO) classification. Iron deficiency state was found in 91.6% of children. In 35.80% of children had vitamin B12 deficiency and 23.45% had folate deficiency. No correlation was found between iron deficiency and the type of deformity. Conclusion: Iron deficiency state is almost universally present in children with cleft lip and palate. Thus, iron and folic acid supplementation should be given at first contact to improve iron reserve and hematological parameters for optimum and safe surgery