Ordinal test fidelity estimated by an item sampling model

A test theory using only ordinal assumptions is presented. It is based on the idea that the test items are a sample from a universe of items. The sum across items of the ordinal relations for a pair of persons on the universe items is analogous to a true score. Using concepts from ordinal multiple regression, it is possible to estimate the tau correlations of test items with the universe order from the taus among the test items. These in turn permit the estimation of the tau of total score with the universe. It is also possible to estimate the odds that the direction of a given observed score difference is the same as that of the true score difference. The estimates of the correlations between items and universe and between total score and universe are found to agree well with the actual values in both real and artificial data.Part of this paper was presented at the June, 1989, Meeting of the Psychometric Society. The authors wish to thank several reviewers for their suggestions. This research was mainly done while the second author was a University Fellow at the University of Southern California.     

Multicategorical spline model for item response theory

Additional information contained in incorrect responses calls for a multicategorical rather than a binary analysis of multiple choice data. A nonparametric divided-by-total model for joint maximum likelihood estimation of probability-of-choice functions (for particular responses) and of latent ability is proposed. The model approximates probability functions by rational splines. Some illustrative examples of real test data analysis and the results of a Monte Carlo study are presented.The research in this paper was supported by the National Sciences and Engineering Research Council of Canada Grants OGP0105521 and APA 320 awarded to the first and the second author, respectively. The authors are indebted to R. Melzack and A. Baker for making available the data analyzed in this paper. We would also like to thank J. McKenna and B. Cont for their assistance in editing this paper.     

Asymptotic distributions of the estimators of communalities in factor analysis

Asymptotic distributions of the estimators of communalities are derived for the maximum likelihood method in factor analysis. It is shown that the common practice of equating the asymptotic standard error of the communality estimate to the unique variance estimate is correct for standardized communality but not correct for unstandardized communality. In a Monte Carlo simulation the accuracy of the normal approximation to the distributions of the estimators are assessed when the sample size is 150 or 300. This study was carried out in part under the ISM Cooperative Research Program (90-ISM-CRP-9).     

明视条件下人眼对低频间断光的亮度感觉

本实验是以异色亮度匹配方法,探索视觉系统对在明视觉水平上的低频、不同时间调制的单色光和白光的亮度感觉特性。结果发现,闪光刺激在临界频率以上作用于视觉系统所产生的亮度感觉是遵循塔耳玻特-普拉托定律。而对在临界频率以下亮暗比为4/1的间断单色光刺激所需的周期平均亮度低于恒定单色光所需的亮度幅度,这表明塔耳玻特(Talbort)定律不适用于低频、高亮暗比的间断单色光。仅适用于间断单色光刺激的亮暗比低于1,波长为650纳米的间断单色光。     

The nontruncated marginal of a truncated bivariate normal distribution

Inference is considered for the marginal distribution ofX, when (X, Y) has a truncated bivariate normal distribution. TheY variable is truncated, but only theX values are observed. The relationship of this distribution to Azzalini's skew-normal distribution is obtained. Method of moments and maximum likelihood estimation are compared for the three-parameter Azzalini distribution. Samples that are uniformative about the skewness of this distribution may occur, even for largen. Profile likelihood methods are employed to describe the uncertainty involved in parameter estimation. A sample of 87 Otis test scores is shown to be well-described by this model.     

人类颞叶皮层与视、听信息加工:Ⅰ、神经心理模型和左颞叶癫痫病人的认知功能

对37名被试的18项神经心理测验结果进行因素分析后得到4个主要因素:知觉组织、感觉注意、记忆和知觉运动。对比组t 考验发现左颞叶瘢痫病人的节律跟随和说话人识别测验得分明显低于普通外科病人,说明左颞叶癫痫病可能影响听觉运动和非言语复杂听觉信息加工的能力。     

Nonunique solutions to the likelihood equation for the three-parameter logistic model

Samejima identified the possibility of multiple solutions to the likelihood equation (multiple maxima in the likelihood function) for estimating an examinee's trait value for the three-parameter logistic model. In the practical applications that Lord studied, he found that multiple solutions did not occur when the number of items was 20. In the present paper, fourteen multiple-choice achievement tests with from 20 to 50 items were examined to see if it was possible for them to produce item response vectors with multiple maxima; such vectors were found for all the tests. Examination of response vectors for large groups of real examinees found that from 0 to 3.1% of them had response vectors with multiple maxima. The implications of these results for multiple-choice tests are discussed.