Residual analysis for unidimensional scaling in the L2-norm

ABSTRACT

We present a procedure (RAUS) for residual analysis of a dissimilarity matrix whereby unidimensional scaling is successively applied to the absolute value of residuals. A key advantage of RAUS is that the efficient Defays formulation of unidimensional scaling can be used for the fitting of each scale. An example using U.S. Supreme Court voting data is provided to illustrate the interpretation of successive scales. A simulation study was performed to evaluate RAUS.     

A ratio estimator of the total of a subpopulation

If the total of an auxiliary variable is known for an entire population but is unknown for some subpopulation, the usual estimator of the total of the primary variable for the subpopulation is the ratio estimator that uses the auxiliary total for the entire population. This article proposes a ratio estimator that uses an estimator of the auxiliary total over the subpopulation as suggested by Kish (1967, p. 438). Under some conditions, it is shown that the latter estimator is unbiased and has smaller variance than the former estimator in large simple random samples.     

Comment on “a new statistic for testing suspected outliers”

A new statistic proposed by Tiku (1975) is compared with the Ferguson (1961) and Pearson-Chandra Sekar (1936) statistics. A simulation suggests that the new statistic is not superior to the Pearson-Chandra Sekar statistic when performance is assessed by the power of the test against the Dixon (1950) alternative.     

Current challenges in statistics: large-lecture courses

Each semester approximately 80% of the students taught by the Florida State University Department of Statistics are enrolled in STA 3014: Fundamental Business Statistics. During the academic year this course is taught in large lecture sections of 250 students each. It is either the only statistics course or one of two statistics courses taken in their undergraduate career for probably 90% of these students. A similar situation exists in many statistics departments around the nation.

These large introductory courses offer us the opportunity to introduce the power of statistics to a large fraction of our future business leaders. In the past it appears that this opportunity has often been missed. In fact, some suggest that these courses help contribute to the general public's negative attitude toward statistics courses, the discipline of statistics, and statisticians.

Hence, I propose that one of the current challenges in statistics is the challenge of improving the quality of these courses so that statistics may contribute to the improvement of quality and productivity in the United States, a vital national issue. In this paper I report on my experiences in grappling with this challenge in STA 3014.     

Do Lawyers Make a Difference?

While legal representation might be expected to make a difference to the outcome of criminal proceedings, much of the relevant evidence is either inconclusive or contrary to expectations. ‘This paper examines the relationship between legal representation and outcome in six Melbourne magistrates’ courts, arguing that, even after controlling for legally relevant variables, representation is strongly related to concessionary withdrawals, plea, verdict, and verdict in contested cases. Representation is also related to whether defendants receive adjournments, but is not related to imprisonment nor to fine or length of licence disqualification periods. Reasons for this pattern of relationships are discussed as are their implications.     

The Continuing Consequences of Segregation: Family Stress and College Academic Performance*

Objectives. We seek to determine whether the high levels of African‐American residential segregation experienced have continuing academic consequences. Because segregation works to concentrate poverty and the social problems associated with it, the friends and relatives of African‐American students face an elevated risk of stressful life events, which undermine grade performance. Methods. We use data from the National Longitudinal Survey of Freshmen to measure the frequency with which members of students' social networks experienced stressful events during their freshman and sophomore years of college, comparing whites, Asians, Latinos, and African Americans from integrated neighborhoods with those coming from segregated neighborhoods. Results. African‐American students from segregated neighborhoods experience higher levels of family stress than others. This stress is largely a function of violence and disorder in segregated neighborhoods. Students respond by devoting more time to family issues and their health and grades suffer as a result. Conclusions. Racial segregation is a structural feature of U.S. society that has continuing power to undermine the academic achievement of students long after they have seemingly left segregated living behind.     

The Self Assessment of Future Events Scale (SAFE): Assessing Perceptions of Risk for Future Violence in Intimate Partner Relationships

The purpose of this study was to develop a survey measure, appropriate for use in clinical or research settings, to assess respondent’s perceptions that their partner will engage in future physical violence, verbal/psychological violence, or controlling behaviors. Data were collected from adults in intimate relationships. Exploratory factor analysis was used to refine the measure and confirmatory factor analysis provided evidence for the fit of the final version of the measure. Scores on the measure indicated less safety for participants in distressed relationships and for participants meeting the study criteria for PTSD. Scores on the measure also indicated significantly decreased safety for participants that reported being the victims of physical violence and participants reporting both victimization and perpetration in their current intimate relationships.     

Black slaves and English liberty: A re‐examination of racial slavery in England

Blacks in eighteenth‐century England were caught in a half‐way stage between colonial slavery and English domestic servitude, and out of the ambiguities of their position they were able to alter their status. Consequently slavery came to an end in England between the 1760s and the 1790s, not from the Somerset Case in 1772, nor from the Act of Parliament in 1833, but from the escape of the slaves themselves. Certain institutional elements, namely the traditions of household servitude, a popular libertarian political culture, and the ideology of the rule of law, provided a climate conducive to black resistance. Nonetheless, the initiative for ending slavery, the force which brought the institutional elements into play, came from individual members of the black community.     

Vietnam as a class war: Myth or reality?

This article reports an extension of the analyses of the fatalities in the Vietnam War presented by Barnett, Stanley, and Shore (1992) as printed in the September‐October 1992 Operations Research. The additional analyses involved an examination of results by Barnett et al. in numeric as well as percentage form and a consideration of how the revised analyses generalize to the population of all American fatalities in Vietnam. These analyses yielded a different conclusion about the role of economic class in the fatalities in the Vietnam War than those drawn by Barnett et al. They suggested that the term class war was not supported by their data analyses. Our analyses indicate that their conclusion is incorrect. The lower class sacrificed considerably more lives than the upper class.