A Berry–Esséen Bound for M-estimators

We prove a Berry–Esséen bound for general M-estimators under optimal regularity conditions on the score function and the underlying distribution. As an application we obtain Berry–Esséen bounds for the sample median, the L_p -median, p > 1 and Huber's estimator of location     

ISSUE INVOLVEMENT AND RESPONSE EFFECTS IN PUBLIC OPINION SURVEYS

This research tests the widespread assumption that responseeffects due to variations in question form, wording, or contextwill be greatest among respondents who are least involved withan issue. A meta-analysis of results from 15 split-ballot experimentsconducted over a five-year period indicates that the responseeffects of using counterarguments or middle alternatives insurvey questions are significantly larger, as would be expected,among respondents who are less involved with a given issue thanamong those who are highly involved with it. But the effectsof question order and response order appear to be largely unrelatedto how involved a respondent is with a particular issue. Issueinvolvement, then, appears to specify some response effects,but not others.     

A Bayesian method of sample size determination with practical applications

Summary.  The problem motivating the paper is the determination of sample size in clinical trials under normal likelihoods and at the substantive testing stage of a financial audit where normality is not an appropriate assumption. A combination of analytical and simulation-based techniques within the Bayesian framework is proposed. The framework accommodates two different prior distributions: one is the general purpose fitting prior distribution that is used in Bayesian analysis and the other is the expert subjective prior distribution, the sampling prior which is believed to generate the parameter values which in turn generate the data. We obtain many theoretical results and one key result is that typical non-informative prior distributions lead to very small sample sizes. In contrast, a very informative prior distribution may either lead to a very small or a very large sample size depending on the location of the centre of the prior distribution and the hypothesized value of the parameter. The methods that are developed are quite general and can be applied to other sample size determination problems. Some numerical illustrations which bring out many other aspects of the optimum sample size are given.     

Applicability of the Social Development Model to Urban Ethnic Minority Youth: Examining the Relationship between External Constraints,Family Socialization,and Problem Behaviors

The development of preventive interventions targeting adolescent problem behaviors requires a thorough understanding of risk and protective factors for such behaviors. However, few studies examine whether different cultural and ethnic groups share these factors. This study is an attempt to fill a gap in research by examining similarities and differences in risk factors across racial and ethnic groups. The social development model has shown promise in organizing predictors of problem behaviors. This article investigates whether a version of that model can be generalized to youth in different racial and ethnic groups (N=2,055, age range from 11 to 15), including African American (n=478), Asian Pacific Islander (API) American (n=491), multiracial (n=442), and European American (n=644) youth. The results demonstrate that common risk factors can be applied to adolescents, regardless of their race and ethnicity. The findings also demonstrate that there are racial and ethnic differences in the magnitudes of relationships among factors that affect problem behaviors. Further study is warranted to develop a better understanding of these differential magnitudes.     

Control charts for monitoring the median in non-negative asymmetric data

Statistical Methods & Applications - Control charts are commonly used for monitoring the mean of processes. However, there are practical applications in which asymmetric data are the standard....     

Political competence and ideological constraint

Converse's definition of ideological contraint is expanded to provide for various respondent identified ideological dimensions rather than an all encompassing liberal-conservative dimension. Using this redefinition a sample of adults is shown to have high levels of ideological constraint. Ideological constraint is shown to vary with the degree of cognitive complexity and the degree of preference evaluability. The latter is a new concept that suggests that some issues will be easier for a respondent to demonstrate constraint on depending upon the availability and applicability of preference criteria. Salience is also shown to have a positive relationship with ideological constraint, but only when preference evaluability is high.