Adaptive two-treatment two-period crossover design for binary treatment responses incorporating carry-over effects

Adaptive designs are sometimes used in a phase III clinical trial with the goal of allocating a larger number of patients to the better treatment. In the present paper we use some adaptive designs in a two-treatment two-period crossover trial in the presence of possible carry-over effects, where the treatment responses are binary. We use some simple designs to choose between the possible treatment combinations AA, AB, BA or BB. The goal is to use the better treatment a larger proportion of times. We calculate the allocation proportions to the possible treatment combinations and their standard deviations. We also investigate related inferential problems, for which related asymptotics are derived. The proposed procedure is compared with a possible competitor. Finally we use real data sets to illustrate the applicability of our proposed design.     

On compounded geometric distributions and their applications

Here, we introduce two-parameter compounded geometric distributions with monotone failure rates. These distributions are derived by compounding geometric distribution and zero-truncated Poisson distribution. Some statistical and reliability properties of the distributions are investigated. Parameters of the proposed distributions are estimated by the maximum likelihood method as well as through the minimum distance method of estimation. Performance of the estimates by both the methods of estimation is compared based on Monte Carlo simulations. An illustration with Air Crash casualties demonstrates that the distributions can be considered as a suitable model under several real situations.     

Antiracism Limited

Liberal enthusiasm over the arrival of a ‘post-racial’ era in the USA found ecstatic release at the 2008 election of the first African-American to the presidency. Several years have passed since that event, and the idea of ‘post-race’ remains a potent, if uneasy, keyword within the national imaginary. Authorizing ‘official antiracisms’ of our day, post-race sanctions the governmentalities of racial neoliberalism, and forecloses alternative paradigms for antiracist struggle. Equally, it registers as a cruel joke of sorts, turning on studied denials of abiding inequalities and open to the lash of ridicule and scorn. At once absurd and alluring, post-race reveals the cultural career of a keyword marked by power and authority as well as tenacious counter-claims that show up its conceits and specious allure.

A rich body of scholarship has emerged in recent years to unpack the meanings and implications of the term. These works typically take the Obama moment, unprecedented and consequential, as a key signifying theatre. This essay, however, begins elsewhere, suggesting instead that the 2008 victory constitutes a denouement, a narrative climax to epistemic struggles that shaped racial discourse over decades prior to and, indeed, anticipating Obama's arrival as post-racial icon. Offering a genealogical pre-history of post-race, the analysis uses the analytical lens of ‘bricolage’ to trace a range of articulations over a 40-year span that concludes with Obama's 2008 victory. The essay maps the riotous ascendance of post-race as well as its faltering claims to authority to reveal the conditions of possibility that gave rise to, and continue to provide traction for, the idea of the post-racial. Highlighting key epistemological shifts ushered in by the concept, the essay substantiates the terms of a third ‘racial break’ that works to foreclose all but those antiracist projects that serve the incentives of neoliberal capital.     

Measurement of occupational mobility using semi-markov models

As proposed by Bartholomew (1967), occupational mobility should better be represented by semi-Markov processes. In the present paper attempts have been made to develop some new measures of occupational mobility in terms of serai-Markov processes and their values have been studied in the three extreme situations of interest.     

Pseudo‐likelihood estimation in ARCH models

The author presents asymptotic results for the class of pseudo‐likelihood estimators in the autoregressive conditional heteroscedastic models introduced by Engle (1982). Unlike what is required for the quasi‐likelihood estimator, some estimators in the class he considers do not require the finiteness of the fourth moment of the error density. Thus his method is applicable to heavy‐tailed error distributions for which moments higher than two may not exist.     

Reliability estimates of some survey data on family planning

Summary A follow-up study employing the panel design which aimed to evaluate the temporal stability of rural respondents' answers to KAP and fertility-related questions after a lapse of nearly five months revealed that reports by females on factual data dealing with socio-economic and demographic topics are as highly reliable as are those of males. The study based on 79 males and 81 females in Haryana further supports the hypothesis that re-test reliabilities of factual data such as respondent's age, religion, occupation, etc. are substantially higher than those of knowledge about contraceptives. Attitude items showed very low re-test reliabilities although the internal consistency reliabilities of the two attitude scales were found to vary within the range of 0.72 to 0.88. Both attitude scales were found to have a very high reproducibility coefficient, all higher than 0.95, for both the interview sessions. Re-test reliabilities of data on contraceptive use were also found to be moderately high. However, the rates of loop insertion and condom use as reported by female respondents are likely to show a substantial amount of gross error as is evident from their low re-test reliabilities. The findings of the present study cast serious doubt on the assumption that married males are not capable of accurately reporting the pregnancy histories of their wives. Several implications of the findings are discussed. From the methodological point of view they suggest a need to develop improved techniques for assessing attitudes toward family planning programmes and abortion as well as to knowledge of contraceptive methods and desired family size. The findings also justify the inclusion of eligible male respondents in KAP and fertility surveys.     

The asymptotic behaviour of a class of L.-estimators under long-range dependence

This paper obtains asymptotic representations of a class of L-estimators in a linear regression model when the errors are a function of long-range-dependent Gaussian random variables. These representations are then used to address some of the efficiency robustness properties of L-estimators compared to the least-squares estimator. It is observed that under the Gaussian error distribution, each member of the class has the same asymptotic efficiency as that of the least-squares estimator. The results are obtained as a consequence of the asymptotic uniform linearity of some weighted empirical processes based on long-range-dependent random variables.     

TECHNIQUES OF COVARIANCE STRUCTURAL ANALYSIS1

The paper delineates the scope and important features of covariance structural analysis in which some pattern can be postulated a priori for the covariance matrix. The coverage given also includes a brief review of the published work in this area with illustration of statistical tests based, on principles of maximum likelihood and union-intersection. Few results on the computational ease under the assumption of particular covariance structures are reported. A few unsolved problems in the area of structural analysis are briefly mentioned.     

On A Symmetric Measure of Occupational Segregation

Occupational segregation according to sex iswidely prevalent in almost allcountries. This paper suggests and characterizes a symmetric measure ofsegregation. This measure was originallyproposed in a different situation byJeffreys (1946). We also provide twonumerical illustrations of changein segregation over time.     

Role of women in schooling and child labour decision: the case of urban boys in India

This paper uses household level data from National Sample Survey Organization (NSSO) of India, the 55th round (1999–2000), to show that for urban male children there exists significant wage incentive for schooling, though school dropout rate and child labour incidence are not so small. The parents’ level of education plays an important role in reducing this tendency; thus establishing the linkage between social and human capital outcomes in the family. We also look at the incidence of harmful and manual occupations among the child labour. Mother’s education now appears as a very important factor in curbing these incidences; supporting earlier findings that women’s empowerment (one important indicator of which would be female educational level) is indeed instrumental in increasing parental awareness.