QUANTILES OF SUMS AND EXPECTED VALUES OF ORDERED SUMS

Watson & Gordon (1986) investigated the relationship between the quantiles of a sum of independent continuous random variables and the sum of the individual quantiles. In this note some further results are obtained. Also corresponding relationships are developed for the expected values of the order statistics of a sum, and for the sum of the expected values of the individual order statistics.     

The development and construct validation of a consumer satisfaction questionnaire for psychiatric inpatients.

A consumer satisfaction scale was developed for psychiatric inpatients. The scale was administered to a state-wide sample of (n = 366) patients discharged from acute psychiatric units throughout Missouri. The scale was factor analyzed and given to another sample of (n = 390) discharges. Three out of five factors that were found in the first sample were replicated in a factor analysis of data from the second sample. Acceptable coefficient alphas were obtained on all three factors, demonstrating internal reliability. The three factors were labeled Treatment Effectiveness, Trust of Staff, and Hospital Environment. Comparable levels of satisfaction with prior studies were found on the first general satisfaction factor of Treatment Effectiveness. Subjects discriminated areas of satisfaction by expressing higher levels of dissatisfaction on the factors of Trust of Staff and Hospital Environment.     

Classification, management, and tracking of abnormal Papanicolaou smears

A system of classifying, managing, and tracking abnormal Papanicolaou (Pap) smears was used at a California university where 3,289 patients were tested. Classification was based on use of the latest cytopathological techniques for identifying characteristics associated with dysplasia and human papilloma virus (HPV). The follow-up success rate was determined for 6-month repeat Pap smears, colposcopy patient contact, and biopsy results. Pathology report correlations were determined for the noncolposcopy group by using repeat Pap smear results. Biopsy results were correlated with Pap smear readings for accuracy and yielded significant statistical information for the program.     

Interdisciplinary research at the Urban–Rural interface: The West ga project

As human populations increase, ecological and social issues become inextricably linked to a greater degree. Solutions to complex social–ecological problems can only be derived through the use of integrated research that can account for the interplay of many factors across traditional discipline lines. We are using such an integrated research to clarify relationships among socioeconomic drivers, ecological effects, and social and policy feedbacks associated with urban development of forested landscapes. Our approach is goal oriented and interdisciplinary in nature and involves a team composed of ecologists, anthropologists, and economists who exchange ideas and information across disciplinary lines. The team and approach has evolved through many of the barriers to interdisciplinary research that have been identified by other authors. Our goal is to develop a predictive capability in order to anticipate ecological and social implications of urban development on natural resources in the southeastern United States. Our integrated model and subsequent papers in this special issue are presented.     

Cyclic Evaluation of Transitivity of Reciprocal Relations

A general framework for studying the transitivity of reciprocal relations is presented. The key feature is the cyclic evaluation of transitivity: triangles (i.e. any three points) are visited in a cyclic manner. An upper bound function acting upon the ordered weights encountered provides an upper bound for the ‘sum minus 1’ of these weights. Commutative quasi-copulas allow to translate a general definition of fuzzy transitivity (when applied to reciprocal relations) elegantly into the framework of cycle-transitivity. Similarly, a general notion of stochastic transitivity corresponds to a particular class of upper bound functions. Ample attention is given to self-dual upper bound functions.