Timing of multiple overlapping intervals: how many clocks do we have?

Humans perceive and reproduce short intervals of time (e.g. 1-60 s) relatively accurately, and are capable of timing multiple overlapping intervals if these intervals are presented in different modalities [e.g., Rousseau, L., & Rousseau, R. (1996). Stop-reaction time and the internal clock. Perception and Psychophysics, 58(3), 434-448]. Tracking multiple intervals can be explained either by assuming multiple internal clocks or by strategic arithmetic using a single clock. The underlying timescale (linear or nonlinear) qualitatively influences the predictions derived from these accounts, as assuming a nonlinear timescale introduces systematic errors in added or subtracted intervals. Here, we present two experiments that provide support for a single clock combined with a nonlinear underlying timescale. When two equal but partly overlapping time intervals had to be estimated, the second estimate was positively correlated with the stimulus onset asynchrony. This effect was also found in a second experiment with unequal intervals that showed evidence of subtraction of intervals. The findings were supported by computational models implemented in a previously validated account of interval timing [Taatgen, N. A., Van Rijn, H., & Anderson, J. R. (2007). An integrated theory of prospective time interval estimation: The role of cognition, attention and learning. Psychological Review, 114(3), 577-598].     

Delinquenzverläufe jugendlicher Sexualmörder

Sexual homicides by juvenile offenders are statistically rare and until now only a few studies explored this phenomenon. Studies on forensic psychiatric court reports and follow-up data from federal criminal records were used to investigate the delinquency of a sample of 19 juvenile sexual homicide perpetrators from their childhood up to the mean age of 45 years of age. More than the half (58%) committed or attempted sexual assaults prior to the sexual homicide. Seven from 13 who were released from custody (54%) committed sexual or violent reoffences. In a long-time analysis as much favourable as unfavourable developments were found. The results suggest that most of the persons who commit sexual homicides as juveniles already committed sexual offences before and have a high risk of sexual and violent reoffending even a long time after the homicide.     

Ten Theses on the Future of Lutheran Theology Charisms, Contexts, and Challenges

Although Lutheran theology is a gift to the historic church, Martin Luther's own views are specifically formulated for their 16th century context. No universal or timeless theological system based upon Luther's authority should be appealed to. Then theses are here advanced that bridge the 16th and 21st centuries and challenge us to creative construction.     

On Taboos: The Danish Cartoon Crisis 2005–20081

Abstract : The international crisis following the publication of 12 Muhammad cartoons in the Danish newspaper Jyllands‐Posten (September 30, 2005) raises the general question of how to exercise the freedom of expression in relation to religious taboos. After briefly reviewing the Cartoon Crisis from September 2005 to the bombings on the Danish Ambassay in Pakistan in June 2008, the article addresses Lutheran resources for coping with secularisation and desecularisation, in particular as regards the taboos that persist as a part of religious and humanistic values. The thesis is that the Lutheran doctrine of the two kingdoms has given rise to two models of interpretation that have both been historically active. The doctrine of the two regiments has been interpreted both as a ‘liberalist’ argument for a principled separation of religion and politics, and as a ‘social‐conservative’ (later Social Democratic) argument for the view that the state should take care of its citizens' welfare through education, the legal system and social services. In today's global and multi‐religious world, this leads us to ask the question to what extent a welfare society, for the sake of peace and social order, should, or should not, protect religious sensitivities. Should religious communities always be kept out of public life, or can they be recognised as non‐governmental organizations in civil society, hence as potential partners for the state?     

Locating the Extrema of Fungible Regression Weights

In a multiple regression analysis with three or more predictors, every set of alternate weights belongs to an infinite class of “fungible weights” (Waller, Psychometrica, in press) that yields identical SSE (sum of squared errors) and R ² values. When the R ² using the alternate weights is a fixed value, fungible weights (a _i ) that yield the maximum or minimum cosine with an OLS weight vector (b) are called “fungible extrema.” We describe two methods for locating fungible extrema and we report R code (R Development Core Team, 2007) for one of the methods. We then describe a new approach for populating a class of fungible weights that is derived from the geometry of alternate regression weights. Finally, we illustrate how fungible weights can be profitably used to gauge parameter sensitivity in linear models by locating the fungible extrema of a regression model of executive compensation (Horton & Guerard, Commun. Stat. Simul. Comput. 14:441–448, 1985).     

Can humans perceive their brain states?

Although the brain enables us to perceive the external world and our body, it remains unknown whether brain processes themselves can be perceived. Brain tissue does not have receptors for its own activity. However, the ability of humans to acquire self-control of brain processes indicates that the perception of these processes may also be achieved by learning. In this study patients learned to control low-frequency components of their EEG: the so-called slow cortical potentials (SCPs). In particular "probe" sessions, the patients estimated the quality of the SCP shift they had produced in the preceding trial. The correspondence between the recorded SCP amplitudes and the subjective estimates increased with training. The ability to perceive the SCPs was related to the ability to control them; this perception was not mediated by peripheral variables such as changes in muscle tonus and cannot be reduced to simple vigilance monitoring. These data provide evidence that humans can learn to perceive the neural activity of their brain. Alternative interpretations are discussed.     

The contribution of orthography to spoken word production: Evidence from Mandarin Chinese

A recent debate in the language production literature concerns the influence of a word’s orthographic information on spoken word production and the extent to which this influence is modulated by task context. In the present study, Mandarin Chinese participants produced sets of words that shared orthography (O+P−), phonology (O−P+), or orthography and phonology (O+P+), or were unrelated (O−P−), in the context of a reading, associative naming, or picture naming task. Shared phonology yielded facilitation effects in all three tasks, but only in the reading task was this phonological effect modulated by shared orthography. Shared orthography by itself (O+P−) revealed inhibitory effects in reading, but not in associative naming or in picture naming. These results suggest that a word’s orthography information influences spoken word production only in tasks that rely heavily on orthographic information.     

The fallacy of the null hypothesis in soft psychology

In his classic article on the fallacy of the null hypothesis in soft psychology [J. Consult. Clin. Psychol. 46 (1978)], Paul Meehl claimed that, in nonexperimental settings, the probability of rejecting the null hypothesis of nil group differences in favor of a directional alternative was 0.50—a value that is an order of magnitude higher than the customary Type I error rate. In a series of real data simulations, using Minnesota Multiphasic Personality Inventory-Revised (MMPI-2) data collected from more than 80,000 individuals, I found strong support for Meehl’s claim.     

The Geometry of Enhancement in Multiple Regression

In linear multiple regression, “enhancement” is said to occur when R ²=b′r>r′r, where b is a p×1 vector of standardized regression coefficients and r is a p×1 vector of correlations between a criterion y and a set of standardized regressors, x. When p=1 then b≡r and enhancement cannot occur. When p=2, for all full-rank R _xx≠I, R _xx=E[xx′]=V Λ V′ (where V Λ V′ denotes the eigen decomposition of R _xx; λ ₁>λ ₂), the set B₁:={b_i:R²=b_i￠r_i=r_i￠r_i;0 < R² ￡ 1}\boldsymbol{B}_{1}:=\{\boldsymbol{b}_{i}:R^{2}=\boldsymbol{b}_{i}'\boldsymbol{r}_{i}=\boldsymbol{r}_{i}'\boldsymbol{r}_{i};0R² ￡ 1;R²l_p ￡ r_i￠r_i < R²}0p≥3 (and λ ₁>λ ₂>⋯>λ _p ), both sets contain an uncountably infinite number of vectors. Geometrical arguments demonstrate that B ₁ occurs at the intersection of two hyper-ellipsoids in ℝ ^p . Equations are provided for populating the sets B ₁ and B ₂ and for demonstrating that maximum enhancement occurs when b is collinear with the eigenvector that is associated with λ _p (the smallest eigenvalue of the predictor correlation matrix). These equations are used to illustrate the logic and the underlying geometry of enhancement in population, multiple-regression models. R code for simulating population regression models that exhibit enhancement of any degree and any number of predictors is included in Appendices A and B.