A new estimator of proportion with a linear function using data from two-decks randomized response model

A new estimator for estimating the proportion of a potentially sensitive attribute in survey sampling has been introduced by solving a linear equation. The proposed estimator has been compared with the estimator proposed by Odumade and Singh (2009) with equal protection to all of the respondents. The asymptotic properties of the proposed estimator are investigated through exact numerical illustrations for different choices of parameters. A non randomized response approach has been suggested. A scope for further research has also been pointed out.     

Implementing affirmative action in higher education: University responses to Gratz and Grutter

In 2003, the Supreme Court handed down two landmark decisions regarding the use of affirmative action in higher education. In one case, Grutter v. Bollinger, the Court said it was constitutional to consider race in admissions decisions in order to achieve the educational benefits of a diverse student body. In stark contrast, the Court struck down in Gratz v. Bollinger the University of Michigan's undergraduate admissions policy on the grounds that too much of the decision was based on race. In this research note, we surveyed midwestern and southern institutions of higher education to see how college and university presidents in the Fifth and Sixth federal circuits have sought to implement Gratz and Grutter. We find schools in the Fifth Circuit (southern) do not consider race in admissions decisions and those in the Sixth Circuit (midwestern) utilize race to assemble a student body. We suggest that lower federal court precedent may explain why the midwestern schools consider race but the southern schools do not.     

Horizontal and Vertical Inequality: Some Interconnections and Indicators

This note is concerned with presenting some simple indices of group-wise relative disadvantage in the distribution of income, in terms of the distance between the group’s share in total population and its share in total income. The group-wise indices are then aggregated into society-wide indices of inter-group disparity. Empirical illustrations of the note’s measurement concerns are provided, using data on the global distribution of income. The measures of horizontal inequality are shown to lead to corresponding measures of vertical inequality, in the special case in which the grouping resorted to is ‘individualistic’.     

The Rejection-Intrusion Pattern: A Central Family Dynamic

A pattern common to marital breakdown and divorce is described in which one partner seeks closeness and reassurance while the other desires separateness and independence. The roots ofthese dynamics in the spouses' families of origin are discussed. One partner is seen as having been rejected or abandoned as a child, while the other was intruded upon or engulfed by the parents. The polarized pattern which later develops in marriage serves the purposes of identity definition, intimacy regulation, and defense against covert anxieties. Recommendations for family therapy are treated briefly.     

Beginning Struggles with Families*

Beginning treatment with families is marked by a sense of struggle between the family and the therapist. The family is seen as testing the therapist and as asking through their behavior questions about the therapeutic process. The therapist is advised to focus intently on the beginning interviews, working toward the point where the family relaxes and decides on an intuitive level to enter therapy. The major hurdle is in dealing with the family's anxiety as the therapist attempts to shift the focus from the individual patient to the family as a whole. Strategy in establishing this shift is outlined     

A new quasi empirical bayes estimate in randomized response sampling

In this article, a new notion of “quasi-empirical” Bayes estimation is developed for estimating the proportion of a sensitive attribute in a population by making use of both a prior distribution of prevalence of the sensitive attribute in addition to the known prior distribution of an unrelated characteristic. The proposed quasi-empirical Bayes estimate is compared with those of the unrelated question model due to Greenberg et al. by means of a simulation study.