Covariance Analysis for Split-Plot and Split-Block Designs

Commentaries are informative essays dealing with viewpoints of statistical practice, statistical education, and other topics considered to be of general interest to the broad readership of The American Statistician. Commentaries are similar in spirit to Letters to the Editor, but they involve longer discussions of background, issues, and perspectives. All commentaries will be refereed for their merit and compatibility with these criteria.

Proper methodology for the analysis of covariance for experiments designed in a split-plot or split-block design is not found in the statistical literature. Analyses for these designs are often performed incompletely or even incorrectly. This is especially true when popular statistical computer software packages are used for the analysis of these designs. This article provides several appropriate models, ANOVA tables, and standard errors for comparisons from experiments arranged in a standard split-plot, split–split-plot, or split-block design where a covariate has been measured on the smallest size experimental unit.     

Analogies for Helping Clinicians and Investigators Better Understand the Principles and Practice of Biostatistics

For the interaction between the biostatistician and the clinician or research investigator to be successful, it is important not only for the investigator to be able to explain biological and medical principles in a way that can be understood by the biostatistician, so, too, the biostatistician needs tools to help the investigator understand both the practice of statistics and specific statistical methods. In our practice, we have found it useful to draw analogies between statistical concepts and familiar medical or everyday ideas. These analogies help to stress a point or provide an understanding on the part of the investigator. For example, explaining the reason for using a nonparametric procedure (a general procedure used when the underlying distribution of the data is not known or cannot be assumed) by comparing it to using broad spectrum antibiotics (a general antibiotic used when the specific bacteria causing infection is unknown or cannot be assumed) can be an effective teaching tool. We present a variety of useful (and hopefully amusing) analogies that can be adopted by statisticians to help investigators at all levels of experience better understand principles and practice of statistics.     

The REBMIX Algorithm for the Multivariate Finite Mixture Estimation

The article extends the REBMIX to multivariate data. Random variables may follow normal, lognormal, or Weibull parametric families and should be independent within components. The initial weights and component parameters are not required. Preprocessing of observations folows the histogram, Parzen window, or k-nearest neighbor approach. The number of components, weights, and component parameters are gained iteratively by using information measures of the distance, such as the total of positive relative deviations and the information criterion. The number of classes or the number of the nearest neighbors can be optimized, as well. The REBMIX software is available on http://www.fs.uni-lj.si/lavek.     

Analytic computation of nonparametric Marsan–Lengliné estimates for Hawkes point processes

In 2008, Marsan and Lengliné presented a nonparametric way to estimate the triggering function of a Hawkes process. Their method requires an iterative and computationally intensive procedure which ultimately produces only approximate maximum likelihood estimates (MLEs) whose asymptotic properties are poorly understood. Here, we note a mathematical curiosity that allows one to compute, directly and extremely rapidly, exact MLEs of the nonparametric triggering function. The method here requires that the number q of intervals on which the nonparametric estimate is sought equals the number n of observed points. The resulting estimates have very high variance but may be smoothed to form more stable estimates. The performance and computational efficiency of the proposed method is verified in two disparate, highly challenging simulation scenarios: first to estimate the triggering functions, with simulation-based 95% confidence bands, for earthquakes and their aftershocks in Loma Prieta, California, and second, to characterise triggering in confirmed cases of plague in the United States over the last century. In both cases, the proposed estimator can be used to describe the rate of contagion of the processes in detail, and the computational efficiency of the estimator facilitates the construction of simulation-based confidence intervals.     

Exploring a Multidimensional Approach to Impulsivity in Predicting College Student Gambling

Impulsivity has been implicated as a contributing factor in the development of gambling problems among college students, but attempts to confirm this relation have been inconsistent. One explanation for these incongruent findings is that impulsivity may be multidimensional and that distinct dimensions differentially predict separate behaviors. Using a large, diverse sample of college students, a factor analysis of self-report measures related to impulsivity revealed a three-factor structure of Behavioral Activation, Preference for Stimulation, and Inhibition Control that was similar to the structure found by Meda et al. (Behav Pharmacol 20(5–6):390–399, 2009) in a different adult sample. Low risk gamblers and symptomatic gamblers scored significantly lower on Behavioral Activation and Inhibition Control than non-gamblers. Conversely, low risk gamblers and symptomatic gamblers scored significantly higher on Preference for Stimulation. Prevalence of gambling and gambling activity preference for this sample was also assessed.     

Developing the Fearless School Counselor Ally and Advocate for LGBTQIQ Youth: Strategies for Preparation Programs

To better serve the lesbian, gay, bisexual, transgender, queer, intersex, and questioning (LGBTQIQ) youth population, counselor educators can assist school counselors-in-training in developing advocacy competencies within their training programs. A focus on advocacy competencies outlined by the American Counseling Association (ACA) and the American School Counselor Association (ASCA) standards, and infusion of techniques throughout the education process, may increase levels of comfort for neophyte school counselors-in-training when working with LGBTQIQ youth. To increase efficacy in this multicultural population, myriad environments representative of the systemic nature of the school environment and culture must be examined and explored through training processes. These authors discuss intervention strategies for counselor educators to develop future school counselor advocacy, which align with the ACA advocacy competency domain areas.     

Strategic control of factory automation

This article identifies strategic control as an unexpected difficulty in implementing the ‘factory of the future’ and as a major stumbling block to firms in their automation efforts. The concept of strategic control is discussed and an example is given. The results of a study in this area are then described and used to explain how managers have unknowingly relinquished control of the manufacturing operation. The article concludes with advice for managers in setting up strategic control systems in their firms that will facilitate rather than hinder the progress of factory automation.     

Intake Fraction Variability Between Air Pollution Emission Sources Inside an Urban Area

The cost‐effective mitigation of adverse health effects caused by air pollution requires information on the contribution of different emission sources to exposure. In urban areas the exposure potential of different sources may vary significantly depending on emission height, population density, and other factors. In this study, we quantified this intraurban variability by predicting intake fraction (iF) for 3,066 emission sources in Warsaw, Poland. iF describes the fraction of the pollutant that is inhaled by people in the study area. We considered the following seven pollutants: particulate matter (PM), nitrogen oxides (NO_x), sulfur dioxide (SO₂), benzo[a] pyrene (BaP), nickel (Ni), cadmium (Cd), and lead (Pb). Emissions for these pollutants were grouped into four emission source categories (Mobile, Area, High Point, and Other Point sources). The dispersion of the pollutants was predicted with the CALPUFF dispersion model using the year 2005 emission rate data and meteorological records. The resulting annual average concentrations were combined with population data to predict the contribution of each individual source to population exposure. The iFs for different pollutant‐source category combinations varied between 51 per million (PM from Mobile sources) and 0.013 per million (sulfate PM from High Point sources). The intraurban iF variability for Mobile sources primary PM emission was from 4 per million to 100 per million with the emission‐weighted iF of 44 per million. These results propose that exposure due to intraurban air pollution emissions could be decreased more effectively by specifically targeting sources with high exposure potency rather than all sources.     

Effects of Genital Response Measurement Device and Stimulus Characteristics on Sexual Concordance in Women

Investigations of sexual concordance suggest that, on average, women exhibit a low, positive correlation between their subjective sexual arousal and genital response. However, this relationship appears to be stronger, on average, when genital response is measured via the external tissues of the vulva than within the vagina walls. Given the methodological variations, such as stimulus content and duration, in studies of vulvar and vaginal concordance, direct comparisons between individual studies are limited. In the current study, sexual concordance was examined using concurrent measures of vulvar blood flow (using laser Doppler imaging) and vaginal vasocongestion (using vaginal photoplethysmography) to investigate potential differences in vulvar and vaginal concordance. Twenty-five women viewed two erotic films that differed in sexual activity content (foreplay and intercourse) while their subjective sexual arousal and genital response was measured. In support of previous meta-analytic findings, results suggest that subjective sexual arousal is more strongly correlated with vulvar blood flow than with vaginal vasocongestion. Likewise, perceived genital response and actual vulvar blood flow are more strongly related than are vaginal vasocongestion and self-reported genital sensations. Practical implications for the study of women’s sexual concordance as well as broader implications for the understanding of female sexuality are considered.