Bayesian analysis of a linear model involving structural changes in either regression parameters or disturbances precision

ABSTRACT

The present paper considers the Bayesian analysis of a linear regression model involving structural change, which may occur either due to shift in disturbances precision or due to shift in regression parameters. The posterior density for the regression parameter has been derived and posterior odds ratio for testing the hypothesis that structural change is due to shift in disturbances precision against the alternative that the change is due to shift in regression parameters has been obtained. The findings of a numerical simulation have been presented. The proposed model has been applied to RBI data set on corporate sector.     

Estimation of parameters in latin squares and graeco-latin squares with missing observations

We show that if in an additive model with p-2 MOLS if one omits up to p-1 observations from the same row, the same column or which correspond to the same letter in any of the squares all effects are estimable. On the other hand with only two missing observations not from the same row, the same column or corresponding to the same letter in any of the squares one degree of freedom is lost for each set of effects.     

On the optimality of the generalized room squares

Using a model given by Archbold and Johnson (1958) it is shown that the generalised Room square design is universally optimal for the estimation of the treatment effects. Further, if the variety-block design in a generalised Room square design is a BIBD, this design is also universally optimal for the estimation of the varietal effects.     

Analysis of binary data in the randomized complete block design

The technique proposed by Shah and Claypool (1984) is extended here for the randomized complete block design with one binary observation per cell. In addition, it provides an al- ternative derivation of the distribution of Cochran's Q sta- tistic which is straightforward.     

The unbearable proximity of the Orient: Political religion,multiculturalism and the retrieval of South Asian identities

The phenomenon of religion -- specifically its recent return as 'political religion', and its seeming incompatibility with the demands of multiculturalism -- continues to be a vexed issue in attempts to rethink retrievals of South Asian identity beyond a neo-colonial imaginary. This move 'beyond' has routinely followed a deconstruction of the 'religious effects' of Orientalism whose conceptual matrix, some argue, can be located in Hegel's writings on history and religion. Taking its cue from Derrida's enigmatic remark -- 'what if religio remained untranslatable?' -- this paper re-examines Hegel's writings on India, revealing the workings of an ontotheological matrix which underpins not only the recent resurgences of religious nationalism or political religion in South Asia and the South Asian diaspora, but also, paradoxically, the secular frameworks of contemporary multiculturalism and anti-imperialist critique. Despite sharing the same onto-theological matrix, these bastions of secular modernity still refuse to recognise that retrievals of religious identity might constitute a significant reorientation of the political, instead continuing to put into play a series of well rehearsed distancing techniques which serve merely to sanitize the 'religious effects' of the Orient.     

Simulation‐based sample‐sizing and power calculations in logistic regression with partial prior information

There have been many approximations developed for sample sizing of a logistic regression model with a single normally‐distributed stimulus. Despite this, it has been recognised that there is no consensus as to the best method. In pharmaceutical drug development, simulation provides a powerful tool to characterise the operating characteristics of complex adaptive designs and is an ideal method for determining the sample size for such a problem. In this paper, we address some issues associated with applying simulation to determine the sample size for a given power in the context of logistic regression. These include efficient methods for evaluating the convolution of a logistic function and a normal density and an efficient heuristic approach to searching for the appropriate sample size. We illustrate our approach with three case studies. Copyright © 2016 John Wiley & Sons, Ltd.     

戴·赫·劳伦斯短篇小说中的“支离人”研究

劳伦斯在短篇小说中创作了"支离人"这种特有的艺术形象。本文在探讨支离人的内涵、成因和艺术效果的基础上指出,现代性特征之一的断裂导致了西方人支离破碎的生存状态。劳伦斯塑造支离人目的并非单纯地描绘人们存在与虚无的对立,而是为存在找到基点和支撑。     

On the unbiased estimation of fixed effects in a mixed model for growth curves

A mixed model for growth curves is introduced. A method of estimating the variance components is indicated. It is shown that the generalised least squares estimates of the fixed effects using estimates of variance components are unbiased and an expression is obtained for the increase in variance due to the substitution of the variances by their estimates. These results are directly applied to designs with two-way elimination of heterogeneity.