Categoricity Theorems and Conceptions of Set

Two models of second-order ZFC need not be isomorphic to each other, but at least one is isomorphic to an initial segment of the other. The situation is subtler for impure set theory, but Vann McGee has recently proved a categoricity result for second-order ZFCU plus the axiom that the urelements form a set. Two models of this theory with the same universe of discourse need not be isomorphic to each other, but the pure sets of one are isomorphic to the pure sets of the other.This paper argues that similar results obtain for considerably weaker second-order axiomatizations of impure set theory that are in line with two different conceptions of set, the iterative conception and the limitation of size doctrine.     

低色温低强度背景光照射下液晶显示颜色编码的实验研究

采用一台有源矩阵彩色液晶显示器作为主要实验装置,对低色温、低强度背景光照射下液晶显示颜色编码范围及其与色标大小的关系进行了研究。实验结果表明:(1)液晶显示器上色标大小对绝对辨认效果有显著影响,随着色标的增大,辨认错误率随之下降,但下降率则随色标的增大而递减。(2)在色温为3100K的低强度背景光照射下,液晶显示的颜色编码范围因色标大小不同而存在显著差异,当色标面积减小到1×1mm2至2×2mm2时,编码色数目仅限于3-4种。     

Left caloric vestibular stimulation as a tool to reveal implicit and explicit parameters of body representation

Homeostatic parameters, such as temperature, are related to body representation. In this study, we measured whether caloric vestibular stimulation (CVS) alters body temperature and tactile processing, and if in the direction predicted by a holistic body matrix representation.Skin temperature and tactile two-point discrimination (TPD) acuity were measured for both arms before, immediately after and with a delay from CVS. Participants were also administered a personality questionnaire and an anxiety inventory to rule out confounding factors. Two control experiments were planned to exclude casual variations.Our results show that temperature drops significantly in both arms after CVS. CVS also induces a bilateral improvement in tactile acuity (even though not immediately after but in the delayed condition). Finally, these effects are not due to learning, as demonstrated by the control experiment.In summary, our results suggest that vestibular stimulation updates body representation, supporting the evidence in favor of a body matrix.     

A Test by Any Other Name: P Values,Bayes Factors,and Statistical Inference

Procedures used for statistical inference are receiving increased scrutiny as the scientific community studies the factors associated with insuring reproducible research. This note addresses recent negative attention directed at p values, the relationship of confidence intervals and tests, and the role of Bayesian inference and Bayes factors, with an eye toward better understanding these different strategies for statistical inference. We argue that researchers and data analysts too often resort to binary decisions (e.g., whether to reject or accept the null hypothesis) in settings where this may not be required.     

A Comparative Investigation of Confidence Intervals for IndependentVariables in Linear Regression

In linear regression, the most appropriate standardized effect size for individual independent variables having an arbitrary metric remains open to debate, despite researchers typically reporting a standardized regression coefficient. Alternative standardized measures include the semipartial correlation, the improvement in the squared multiple correlation, and the squared partial correlation. No arguments based on either theoretical or statistical grounds for preferring one of these standardized measures have been mounted in the literature. Using a Monte Carlo simulation, the performance of interval estimators for these effect-size measures was compared in a 5-way factorial design. Formal statistical design methods assessed both the accuracy and robustness of the four interval estimators. The coverage probability of a large-sample confidence interval for the semipartial correlation coefficient derived from Aloe and Becker was highly accurate and robust in 98% of instances. It was better in small samples than the Yuan-Chan large-sample confidence interval for a standardized regression coefficient. It was also consistently better than both a bootstrap confidence interval for the improvement in the squared multiple correlation and a noncentral interval for the squared partial correlation.     

Estimation of the Coefficient of Variation with Minimum Risk: A Sequential Method for Minimizing Sampling Error and Study Cost

The coefficient of variation is an effect size measure with many potential uses in psychology and related disciplines. We propose a general theory for a sequential estimation of the population coefficient of variation that considers both the sampling error and the study cost, importantly without specific distributional assumptions. Fixed sample size planning methods, commonly used in psychology and related fields, cannot simultaneously minimize both the sampling error and the study cost. The sequential procedure we develop is the first sequential sampling procedure developed for estimating the coefficient of variation. We first present a method of planning a pilot sample size after the research goals are specified by the researcher. Then, after collecting a sample size as large as the estimated pilot sample size, a check is performed to assess whether the conditions necessary to stop the data collection have been satisfied. If not an additional observation is collected and the check is performed again. This process continues, sequentially, until a stopping rule involving a risk function is satisfied. Our method ensures that the sampling error and the study costs are considered simultaneously so that the cost is not higher than necessary for the tolerable sampling error. We also demonstrate a variety of properties of the distribution of the final sample size for five different distributions under a variety of conditions with a Monte Carlo simulation study. In addition, we provide freely available functions via the MBESS package in R to implement the methods discussed.     

Comparing the body to superior others: Associations with daily exercise and body evaluation in men and women

ObjectivesThis study tested the link between daily body-related upward social comparisons (BUSCs) and exercise behavior, and examined how appearance evaluation and gender may impact this association.MethodIn a weeklong assessment, 87 participants (54% women) completed daily retrospective measures of social comparisons and exercise behavior, and a one-time trait measure of appearance evaluation.ResultsBased on findings from hierarchical linear modeling, men with more negative appearance evaluations reported higher exercise engagement on days when they made more (compared to less) BUSCs. Meanwhile, women with more negative appearance evaluations reported less exercise engagement on days when they engaged in more (compared to less) BUSCs.ConclusionsAmong individuals who experience negative appearance evaluations, upward body comparisons are associated with more exercising among men, and lower exercise among women. BUSCs have an important role in promoting adaptive exercise behaviors and managing negative body image.     

Introducing an instrument to measure body and fitness-related self-conscious emotions: The BSE-FIT

ObjectivesThe aim of this study was to develop a new self-report instrument to assess experiences of shame, guilt, authentic pride, and hubristic pride in a fitness context.Design and methodIn Study 1, 41 potential items were developed and assessed for item quality and comprehension. In Study 2, a panel of experts (N = 8; M = 10.55, SD = 6.49 years of experience) assessed the scale and items for validity evidence based on content. Participants in Study 3 (N = 435) completed the Body-related Self-Conscious Emotions Fitness instrument (BSE-FIT) and other established self-report measures of body image, personality, emotion, and behavior. A subset of participants (n = 38; 38% male) in Study 3 completed a 2-week follow-up.ResultsThe BSE-FIT subscale scores demonstrated evidence for internal consistency, temporal stability over a 2-week period, concurrent, convergent, and discriminant validity. A 4-factor conceptualization of the instrument was supported.ConclusionsOverall, the final 16-item BSE-FIT instrument shows promise as a new instrument for assessing shame, guilt, and authentic and hubristic facets of pride in fitness contexts.     

How motor practice shapes memory: retrieval but not extra study can cause forgetting

We investigated the retrieval specificity of retrieval-induced forgetting (RIF) of motor sequences. In two experiments, participants learned sequential finger movements, each consisting of the movement of two fingers of either the left or the right hand. In the learning phase, these motor sequences were graphically presented and were to be learned as responses to simultaneously presented letter stimuli. Subsequently, participants selectively practiced half the items of one hand. A final recall test then assessed memory for all initially learned items. We contrasted different kinds of selective practice with each other. Whereas retrieval practice required retrieving motor sequences in response to letter stimuli from the learning phase, extra study was an extension of the learning phase, that is, participants performed motor sequences in response to the same animation graphic display as in the learning phase again accompanied by the letter stimulus. All practice conditions strengthened the practiced items, but only retrieval practice resulted in RIF. Thus, the strengthening of items through practice did not suffice to induce forgetting of related motor sequences. Retrieval was a necessary component for practice to shape memory for body movements by impairing the subsequent recall of motor sequences that were related to the practiced motor sequences.