Magnitude and durability of electoral change: Identifying critical elections in the U.S. Congress 1854–2010

The two hallmarks of a critical election and, hence, of a critical realignment are the magnitude of the observed change and the durability of that change. In addition to offering a new approach to measuring durable change in national party dominance, and providing a non-parametric criterion to identify unusual changes in seat/vote shares, we provide fresh insights via a unifying statistical approach that reflects both of these factors simultaneously. Furthermore, we assess the robustness of critical election determinations in two ways. First, we compare the magnitude of inter-election shifts with both average volatility over the entire time period and volatility relative to a particular time period. Second, as an alternative to the usual perspective, we consider critical elections not as a one-time cataclysm, but rather as a pair (or perhaps even triple) of consecutive substantial shifts, generated by the same underlying factors. Overall, we distinguish six elections that marginally or provisionally meet our criteria to be critical elections. But focusing on pairs of elections, 1858–60 and 1930–32 stand out as critical among all elections since the 1850s.     

A pilot study of the effects of gonadotropin-releasing hormone agonist therapy on brain activation pattern in a man with pedophilia

Gonadotropin-releasing hormone (GnRH) agonists, such as leuprorelin, are recommended in the patients with pedophilia at highest risk of offending. However, the cerebral mechanisms of the effects of these testosterone-decreasing drugs are poorly known. This study aimed to identify changes caused by leuprorelin in a pedophilic patient's brain responses to pictures representing children. Clinical, endocrine, and fMRI investigations were done of a man with pedophilia before leuprorelin therapy and 5 months into leuprorelin therapy. Patient was compared with an age-matched healthy control also assessed 5 months apart. Before therapy, pictures of boys elicited activation in the left calcarine fissure, left insula, anterior cingulate cortex, and left cerebellar vermis. Five months into therapy, all the above-mentioned activations had disappeared. No such activations and, consequently, no such decreases occurred in the healthy control. The results of this pilot study suggest that leuprorelin decreased activity in regions known to mediate the perceptual, motivational, and affective responses to visual sexual stimuli.     

Using Fuzzy Rule–Based Systems to Evaluate Overall Financial Performance of Governments: An Enhancement to the Bond Rating Process

Credit ratings remain a key feature of municipal debt management. The primary objective of this article is to develop a new methodology for evaluating the financial performance and creditworthiness of governments and to illustrate this approach for a sample of large American cities. Specifically, we develop a fuzzy rule–based system (FRBS) that uses economic, debt, and other financial information as well as a measure of financial management to produce rankings of city financial performance. The FRBS credit ratings are highly correlated with actual Moody's ratings for these cities. FRBS have the potential of enhancing the rating process by standardizing the information used and encouraging consistent rules about what combinations of inputs result in good, fair, or poor performance.     

Constraints on the turnout gap between high and low knowledge (or income) voters: Combining the Duncan-Davis method of bounds with the Taagepera method of bounds

Countries differ quite substantially in mean turnout levels, and it is equally well known that there may be substantial within-country variation as well, for example, between high income and low-income groupings or between high political knowledge and low political knowledge groupings. It has been hypothesized that the size of such between-group gaps will fall as turnout rises, and conversely (Franklin, 2004. Blais, 2000). However, as Franklin (2004) also noted, there are mathematical constraints on the size of the turnout gap that are related to the level of turnout. For example, in the limit, if turnout is 100%, then all groups must have identical turnout. Here we build on this insight by adapting the classic work on boundary conditions done by two sociologists (Duncan and Davis, 1953) to show precisely what the boundary constraints look like over the entire range of turnout values. Then we show how these constraints can help make sense of the strong relationship found between overall turnout and the size of the gap between voters above and below the median in political knowledge in the Fisher et al. (2008) cross-national study. To do so we draw on ideas in Rein (Taagepera, 2007) and (Taagepera, 2008) about how to use boundary condition information to develop better theoretical models.     

Extending the Confusion About Bayes

In R v T [2010] EWCA Crim 2439, [2011] 1 Cr App Rep 85, the Court of Appeal indicated that ‘mathematical formulae’, such as likelihood ratios, should not be used by forensic scientists to analyse data where firm statistical evidence did not exist. Unfortunately, when considering the forensic scientist's evidence, the judgment consistently commits a basic logical error, the ‘transposition of the conditional’ which indicates that the Bayesian argument has not been understood and extends the confusion surrounding it. The judgment also fails to distinguish between the validity of the relationships in a formula and the precision of the data. We explain why the Bayesian method is the correct logical method for analysing forensic scientific evidence, how it works and why ‘mathematical formulae’ can be useful even where firm statistical data is lacking.