r equivalent: A simple effect size indicator

The purpose of this article is to propose a simple effect size estimate (obtained from the sample size, N, and a p value) that can be used (a) in meta-analytic research where only sample sizes and p values have been reported by the original investigator, (b) where no generally accepted effect size estimate exists, or (c) where directly computed effect size estimates are likely to be misleading. This effect size estimate is called r(equivalent) because it equals the sample point-biserial correlation between the treatment indicator and an exactly normally distributed outcome in a two-treatment experiment with N/2 units in each group and the obtained p value. As part of placing r(equivalent) into a broader context, the authors also address limitations of r(equivalent).     

A measure of effect size for r x c contingency tables

Goodman and Kruskal's tau measure of categorical association is advanced as a replacement for conventional measures of effect size for r x c contingency tables. Goodman and Kruskal's tau is an asymmetric measure of categorical association which is based entirely on the observed data and possesses a clear interpretation in terms of proportional reduction in error. Comparisons with conventional measures of effect size based on chi-squared such as Pearson's phi2, Tschuprow's T2, and Cramer's V2 demonstrate the advantages of employing tau as a measure of effect size.     

In search of the psychopathic sexuality taxon: indicator size does matter

Recent research has suggested that a qualitatively distinct subtype of psychopathic sex offender can be identified via taxometric analyses (Harris et al., 2007). In this study we attempted to replicate the hypothesized psychopathic sexuality taxon in a group of 503 male sexual offenders using data from the Psychopathy Checklist-Revised (PCL-R:Hare, 2003) and five coercive and precocious sexuality items. Ambiguous to dimensional results were obtained when, in a replication of the Harris et al. (2007) study,dichotomized indicators were analyzed with summed input maximum covariance (MAXCOV). Clearly dimensional results, however, were obtained when higher correlating and more valid quasi-continuous indicators were analyzed with traditional (input variables not summed) MAXCOV, and both dichotomous and quasi-continuous indicators were analyzed with mean above minus below a cut (MAMBAC) and latent-mode factor analysis (L-Mode). These results suggest that Harris et al. (2007) may have mistaken the random fluctuations of weakly correlating and poorly differentiating indicators for a taxon. Consistent with the vast majority of earlier research,our results suggest that psychopathy (with or without coercive and precocious sexuality) is a dimensional construct.     

Some philosophical directions towards a simple theory of the self

In the act of self-observation, an individual becomes simultaneously observer and observed, subject and object. While some philosophical psychologists have dismissed thisreflexivity, the present author proposes that it isthe essential feature of the self, making it the basis of a new, conceptually simple, structural and dynamic theory of the self. Drawing from psychopathology, poetry and literature, the author portrays normal and disordered psychological states as disturbances in reflexivity. Qualitative and quantitative variations in this core function are proposed to define discreet spectra of psychological situations. The author briefly examines the theories and practices of psychoanalytic and existential psychology, and proposes clinical applications of the new views here depicted. He attempts to show that inherent limits to our simultaneous knowledge of both aspects of the reflexive duality limit the precision and validity of all psychological theorization.     

Determining the sample size for a replication attempt: A short and simple microcomputer program

Replication studies frequently fail to detect genuine effects because too few subjects are employed to yield an acceptable level of power. To remedy this situation, a method of sample size determination in replication attempts is described that uses information supplied by the original experiment to establish a distribution of probable effect sizes. The sample size to be employed is that which supplies an expected power of the desired amount over the distribution of probable effect sizes. The method may be used in replication attempts involving the comparison of means, the comparison of correlation coefficients, and the comparison of proportions. The widely available equation-solving program EUREKA provides a rapid means of executing the method on a microcomputer. Only ten lines are required to represent the method as a set of equations in EUREKA’s language. Such an equation file is readily modified, so that even inexperienced users find it a straightforward means of obtaining the sample size for a variety of designs.     

Metric properties of spatial images generated from locomotion: The effect of absolute size on mental scanning

The mental scanning paradigm has demonstrated that the time taken to scan the mental visual image of a map is linearly related to the scanned distances. The experiments reported here aimed at exploring the influence of two factors on mental scanning: (1) the modality through which the environment is explored, that is visual locomotion; and (2) the size of the environment. Three groups of participants had to study three paths of different sizes: large, intermediate and small. After walking on the paths, participants had to mentally scan them. In Experiment 1 an effect of the absolute size was found, which was due to the participants who took longer and relied on a kinaesthetic strategy to study the path. Experiment 2 was a repetition of the first but the duration of the learning time was controlled. A significant difference between size conditions due to longer scanning times for the larger configuration was found. Experiment 3 compared two learning strategies: visual and kinaesthetic. Also in this case a significant size effect due to longer latencies for scanning over the larger configuration was found. In all experiments a significant effect of distance and the typical time–distance coefficients of mental scanning were also found. Results suggest that the learning time duration and the spatial kinaesthetic strategy are both important for encoding the actual size of the environment.     

The effect of a visual indicator on rate of visual search: Evidence for processing control

Search rates were estirnated from response latencies in a visual search task of the type used by Atkinson, Holmgren, and Juola (1969), in which a S searches a small set of letters to determine the presence or absence of a predesignated target. Half of the visual displays contained a marker above one of the letters. The marked letter was the only one that had to be checked to determine whether or not the display contained the target. The presence of a marker in a display significantly increased the estimated rate of search, but the data clearly indicated that Ss did not restrict processing to the marked item. Letters in the vicinity of the marker were also processed. These results were interpreted as showing that Ss are able to exercise some degree of control over the search process in this type of task.     

Group size and the framing effect:

Past research provides conflicting evidence for the role of value in the appearance of framing effects. In this study, the effects of frame and group size were examined using scenarios about less valuable and more valuable groups (animal vs. human). In addition, two picture manipulations, intended to increase the value of the group, were presented. Choice patterns differed for the human and animal groups, with participants exhibiting greater risk seeking overall for the human scenario and showing a framing effect for humans but not animals when no pictures were presented. A small group size increased the proportion of risky choices for both the animal and human scenarios. Presenting pictures with names did lead to framing effects for animals, but providing pictures or pictures and names eliminated framing effects for the human scenario. These findings suggest that the relationship between value and framing effects is a matter of degree.     

Some evidence for a selfterminating process in simple visual search tasks

Two experiments were conducted to investigate the unsettled question of whether the visual search process is selfterminating or exhaustive. In the experiments three letters were placed on an imaginary circle round the fixation point. Two different letters were used, one of which was defined as the ‘signal’. Ss had to respond ‘yes’ when one or more signals were in the display, ‘no’ otherwise. In both experiments the number of signals in the display was varied from 0 to 3.Decreasing latencies with increasing number of signals were observed in both experiments, indicating a selfterminating visual search. In experiment 1 a significant increase in latencies with increasing visual angle was found, in experiment 2 an increase in latency resulting from neighbouring contours. Both factors probably contribute to the slope of the function relating positive responses to display size and to the slope of the function relating negative responses to display size when stimuli are presented in linear arrays as in the experiment by Atkinson et al. (1969). As a result the slopes become more equal, falsely suggesting an exhaustive visual search process.     

Some evidence for correlated separate activation in a simple letter-detection task

This study investigates the separate activation versus coactivation issue for redundant targets in a simple letter-detection paradigm with latency as the dependent variable. The results of a one-response visual-search task are reported. Since, on single-target trials, only the target was presented and no accompanying noise element, no “distraction decrement” caused by irrelevant noise elements (Grice et al., 1984) was to be expected. The data obtained showed a clear redundantsignal effect. Subsequent detailed analysis of the latency data using Miller’s (1982) procedure indicated that the results were consistent with a separate activation model and failed to provide convincing evidence in favor of coactivation models. A further analysis of the data indicated that, in the present study, the separate channels were negatively correlated for a range of fast RTs and positively correlated for intermediate and larger RTs. No evidence in favor of Grice et al.’s (1984) distraction-decrement hypothesis was found. The conclusions of this study are that (1) a separate activation model summarizes the essential features of information processing in this simple visual search task, and (2) no convincing evidence in favor of coactivation in visual search tasks has been reported in the literature up to now.     

Some post-Daubert trial tribulations of a simple country judge: Behavioral science evidence in trial courts

This article is written from the unique perspective of a rural trial court judge dealing with scientific evidence. It compares Frye and Daubert, finding them not so different in theory, once the general acceptance concept is properly understood. It notes the difficulty that Frye creates in the use of behavioral science evidence. It proposes applying Fryel/Daubert only to a Limited aspect of clinician testimony. The application of the expert evidence rules is discussed through the depiction of a trial in a rural juvenile court protective action, based loosely on an action tried to the author, followed by discussion of special jury trial considerations. This article concludes that junk science problems have not been created by faulty rules of evidence, but by faulty judicial performance and proposes an approach to a solution.     

Measures of effect size

Two different approaches have been used to derive measures of effect size. One approach is based on the comparison of treatment means. The standardized mean difference is an appropriate measure of effect size when one is merely comparing two treatments, but there is no satisfactory analogue for comparing more than two treatments. The second approach is based on the proportion of variance in the dependent variable that is explained by the independent variable. Estimates have been proposed for both fixed-factor and random-factor designs, but their sampling properties are not well understood. Nevertheless, measures of effect size can allow quantitative comparisons to be made across different studies, and they can be a useful adjunct to more traditional outcome measures such as test statistics and significance levels.     

Performance of pigeons on delayed simple and conditional discriminations under equivalent training procedures

A pair of experiments investigated the short-term memory of pigeons under delayed simple and conditional discriminations. Trial sequences in both discriminations consisted of a color as the sample stimulus, a memory interval, a line orientation as the test stimulus, and a trial outcome, which was either food reinforcement or blackout. Pecking rates during the test stimulus defined discrimination performance. In the simple discrimination, the sample provided the necessary information regarding the subsequent trial outcome. In the conditional discrimination, the sample and test stimuli conjointly provided this information. In Experiment 1, the two procedures were compared with independent groups of pigeons. In Experiment 2, the comparison was made within subjects. The simple discrimination was acquired more quickly and was performed better with a memory requirement. Introduction of long delays disrupted performance even at shorter delays in both discriminations. Postulation of prospective as well as retrospective mediating processes facilitates the interpretation of these results.     

从效应量应有的性质看中介效应量的合理性

效应量的作用有两个方面, 一是弥补了统计检验的不足, 二是使得效应有可比性。结合统计显著性和效应量, 才能得出适当的统计结论。效应量应当具有一些基本性质, 包括与测量单位无关、单调性、不受样本容量的影响。国际上流行的中介效应量κ平方就是因为缺乏单调性而引发质疑和研究, 从而被彻底终结了其作为中介效应量的合法性。R平方型中介效应量同样有缺乏单调性的问题。文末讨论了如何报告中介效应量以及有待研究的问题。