A concise proof of a theorem on products of power sums

The heart of a direct solution of the problem of moments of moments is a formula for the expected value of a product of sample power sums in terms of a linear function of products of population power sums. Such a result was given by Skellam (1949) and, earlier and more generally, by Dwyer (1938). The approach here leads to a result for the easily handled case which features the product of unit power sums of each multivariate variable from which a general case comes by easy extension without the need of technical material required by the earlier approaches. A corollary provides a new solution for the problem of obtaining the unbiased estimate of any linear function of products of power sums.     

Fourth moment results for mrbp and related power performance

A permutation test for analysing randomized block data was proposed by Mielke and Iyer (1982). They obtained the first three exact moments of this test statistic and approximated its permutation distribution by the Pearson type III distribution. Tracy and Khan (1991) derived the fourth exact moment of this test statistic to obtain a better approximating distribution. Here we obtain the simplified form of the fourth moment result for some special cases of this test statistic. Empirical powers for four treatments are compared, using this additional information, with those based on the three moment results, after simulating data from some underlying populations.     

Selection buasubg parameters in adaptive ridge regression estimators

Strawderman's family of regression estimators is considered. The choice of the scalars wbich characterize the biasing parameter is studied by obtaining the bias vector and the mean squared error matrix.     

Perceptions of Immigrant Criminality: Crime and Social Boundaries

Researchers studying the relationship between immigration and crime frequently note the discrepancy between actual rates and public perceptions of criminal behavior by immigrants. Analyzing staff‐ and reader‐generated texts in a local newspaper, we find that this connection is maintained through a conflation of key terms, assumptions of the legal status of immigrants, and a focus on high‐profile criminal acts. We argue that the discourse of immigrant criminality has been critical in constructing social boundaries used in recent immigration legislation. Our analysis helps explain why current scholarly findings on immigration and crime have had little influence in changing public opinion.     

Who REALLY Wants to be a Millionaire? Gender Differences in Game Show Contestant Behavior Under Risk*

Objective. On the popular game show Who Wants to be a Millionaire men appear to average higher winnings than women. This article investigates potential reasons, including different uses of information sources (lifelines) and different perceptions of risk. Method. We analyzed the decisions and resultant winnings of 164 contestants (95 men and 69 women) over 42 episodes of the show. Results. Gender‐based tests of Kahneman and Tversky's prospect theory demonstrated evidence of gender differences in the certainty effect and suggested the counterintuitive conclusion that men are rewarded for acting slightly more cautiously than do women. Conclusions. These gender differences may be owing to self‐selection of contestants, particularly for women, and to different goals: whereas men play to maximize their winnings, women may be less concerned with profit than with the experience as a whole. These findings suggest that examination of gender‐related behavior in other risky, high‐profile contexts may be worthwhile.     

Computation of standard errors in seemingly unrelated regression equation models

In a seemingly unrelated regression equation model, the feasible generalized least squares estimators are used for estimating the coefficients. In this paper, the standard errors associated with these estimators are obtained.