Problem Parameter and Problem Finding in Art Education

The significance of problem parameters in art education is examined. Problem parameters are delineated by the art instructor in the problem finding stage of the creative process before problem solving occurs. Problem parameters define problems and focus students' creative processes. In the delivery of an assignment, the art teacher presents problem parameters to students and students respond to parameters. A model is proposed illustrating the relationship between the presented problem parameters of art assignments and the creative processes of students. Characteristics of the instructional implementations of parameters are examined: Incomplete Parameters; Overly and Inadequately Restrictive Parameters; and Expanding and Contracting Parameters. Student responses to parameters are explored: Disregarded, Self-imposed, and Stretched Parameters. The implications of the model in art education are discussed.     

Compensatory coordination of release parameters in a throwing task

The consistency and coordination of release parameters in ball-throwing movements were investigated. The authors used a newly developed index of coordination for release parameters (ICRP) that quantifies the degree of improvement of performance consistency caused by compensatory relationships among parameters (i.e., not caused by consistency of parameters). Eight participants practiced for 150 trials, with the nondominant hand, a ball-throwing task aimed at a stationary target. The magnitude of the ball-release velocity vector, among release parameters, as well as the performance was found to become consistent with practice. The ICRP score suggested that the release parameters were complementarily coordinated with one another, and that the coordination improved with practice. Those results indicate that compensatory relationships among varying release parameters contribute to reducing the variability of performance in a ball-throwing task whose goal is accuracy.     

Compensatory Coordination of Release Parameters in a Throwing Task

The consistency and coordination of release parameters in ball-throwing movements were investigated. The authors used a newly developed index of coordination for release parameters (ICRP) that quantifies the degree of improvement of performance consistency caused by compensatory relationships among parameters (i.e., not caused by consistency of parameters). Eight participants practiced for 150 trials, with the nondominant hand, a ball-throwing task aimed at a stationary target. The magnitude of the ball-release velocity vector, among release parameters, as well as the performance was found to become consistent with practice. The ICRP score suggested that the release parameters were complementarily coordinated with one another, and that the coordination improved with practice. Those results indicate that compensatory relationships among varying release parameters contribute to reducing the variability of performance in a ball-throwing task whose goal is accuracy.     

Predicting item exposure parameters in computerized adaptive testing

The purpose of this study is to find a formula that describes the relationship between item exposure parameters and item parameters in computerized adaptive tests by using genetic programming (GP) – a biologically inspired artificial intelligence technique. Based on the formula, item exposure parameters for new parallel item pools can be predicted without conducting additional iterative simulations. Results show that an interesting formula between item exposure parameters and item parameters in a pool can be found by using GP. The item exposure parameters predicted based on the found formula were close to those observed from the Sympson and Hetter (1985) procedure and performed well in controlling item exposure rates. Similar results were observed for the Stocking and Lewis (1998) multinomial model for item selection and the Sympson and Hetter procedure with content balancing. The proposed GP approach has provided a knowledge‐based solution for finding item exposure parameters.     

The effect of sequential dependencies on some signal detection parameters

The values of various sensitivity and response criterion parameters were calculated under different experimental conditions for both detection and recognition tasks. The effects of feedback and stimulus probability were found to be consistent with previous studies. When the values of the parameters were computed depending on the nature of the immediately preceding trial, the criterion parameters were found to be dependent on the identity of the preceding response, while those measuring sensitivity were dependent on its correctness. The dependence of the sensitivity parameters could be explained as an artifact of statistical bias, while the effect on the criterion parameters appears genuine. The nature of the phenomenon of statistical bias is discussed.     

IRT中最小化χ2/EM参数估计方法

对IRT的双参数Logistic模型（2PLM）中未知参数估计问题,给出了一个新的估计方法――最小化χ2/EM估计。新方法在充分考虑项目反应理论(IRT)与经典测量理论(CTT)之间的差异的前提下,从统计计算的角度改进了Berkson的最小化χ2估计,取消了Berkson实施最小化χ2估计时需要已知能力参数的不合实际的前提,扩大了应用范围。实验结果表明新方法能力参数的估计结果与BILOG相比,精确度要高,且当样本容量超过2000时,项目参数的估计结果也优于BILOG。实验还表明新方法稳健性好     

Automatic measurement of aspects of speech reflecting motor coordination

An experimental setting and a method of measurement are described in which five parameters are recorded to reflect speech motor activity. From a psychological or clinical point of view, these parameters are a valuable supplement to traditional motor parameters. In the first experiment, it is shown that this method allows for an objective measure of these parameters. The second experiment proves their high short-term stability. This method requires an IBM-compatible PC, an AD-converter card, software, and microphones. Since a computer is used to evaluate the parameters, a simple registration of these parameters is possible. Applications in the area of speech disorders and short-term changes of speech are discussed.     

4PLRT模型与3PLRT模型在瑞文标准推理测验中的比较研究

研究目的：考察反应时与智力的关系以及通过模型对比考察4PLRT模型特性。方法：以瑞文标准推理测验为例,对4PLRT模型与3PLRT模型作比较研究。结论：（1）项目时间参数与难度参数正相关,可以依据时间参数将瑞文标准测验划分成三大部分。（2）能力估计结果比较：由于项目参数和被试速度参数的作用,CTT条件下能力相等的不同被试在计时与非计时条件下存在差异。（3）关于被试的答题策略：被试会基于自身能力而充分权衡时间与准确性的关系。这两种不同模型下被试的能力值之间的比较也说明了时间是一个重要的智力评估因子。     

Extensions of Rasch's multiplicative poisson model

Consideration will be given to a model developed by Rasch that assumes scores observed on some types of attainment tests can be regarded as realizations of a Poisson process. The parameter of the Poisson distribution is assumed to be a product of two other parameters, one pertaining to the ability of the subject and a second pertaining to the difficulty of the test. Rasch's model is expanded by assuming a prior distribution, with fixed but unknown parameters, for the subject parameters. The test parameters are considered fixed. Secondly, it will be shown how additional between- and within-subjects factors can be incorporated. Methods for testing the fit and estimating the parameters of the model will be discussed, and illustrated by empirical examples.     

Rasch's multiplicative poisson model with covariates

As a multivariate model of the number of events, Rasch's multiplicative Poisson model is extended such that the parameters for individuals in the prior gamma distribution have continuous covariates. The parameters for individuals are integrated out and the hyperparameters in the prior distribution are estimated by a numerical method separately from difficulty parameters that are treated as fixed parameters or random variables. In addition, a method is presented for estimating parameters in Rasch's model with missing values. The author is now affiliated with the Otara University of Commerce. The author is grateful to Yoshio Takane, Haruo Yanai, Eiji Muraki, the editor and referees for their careful readings and helpful suggestions on earlier versions of this paper. Part of this work was presented at the third European Congress of Psychology at Tampere, Finland in 1993.     

R-RUM的参数估计及性能评价研究

认知诊断作为21世纪一种新的测量范式,在国内外越来越受到重视。该文运用MCMC算法实现了R-RUM的参数估计,并采用Monte Carlo模拟方法探讨其性能。研究结果表明:(1)R-RUM参数估计方法可行,估计精度较高;(2)Q矩阵复杂性和模型参数水平对模型参数估计精度有较大影响,随着r_(jk)*值的增大和Q矩阵复杂性的增加,项目参数和被试参数估计精度逐渐下降;(3)在特定情形下,R-RUM具有一定的稳健性。     

计算机适应性测验条件下认知设计项目预测参数的影响

自动化项目生成(Automatic Item Generation)中的项目参数是基于认知项目设计的刺激特征集预测的, 在不确定性来源上较之用经验数据标定的参数更为复杂。文章通过实证研究分析了在计算机适应性测验条件下基于认知设计系统法生成的抽象推理测验(ART)项目预测参数对能力参数估计的精确性。研究表明, 项目预测参数比相应标定参数分布更为趋中。这种回归效应既影响到能力参数估计误差大小, 也导致适应性测验过程中项目选择的差异。在控制了项目选择差异之后, 能力参数估计误差较之基于项目标定参数的能力估计误差大, 但差别并不明显。两者相应的能力估计值相关很高, 对应能力值之间的差异很小, 且几乎贯彻整个能力分布区间。     

Identification of the 1PL Model with Guessing Parameter: Parametric and Semi-parametric Results

In this paper, we study the identification of a particular case of the 3PL model, namely when the discrimination parameters are all constant and equal to 1. We term this model, 1PL-G model. The identification analysis is performed under three different specifications. The first specification considers the abilities as unknown parameters. It is proved that the item parameters and the abilities are identified if a difficulty parameter and a guessing parameter are fixed at zero. The second specification assumes that the abilities are mutually independent and identically distributed according to a distribution known up to the scale parameter. It is shown that the item parameters and the scale parameter are identified if a guessing parameter is fixed at zero. The third specification corresponds to a semi-parametric 1PL-G model, where the distribution G generating the abilities is a parameter of interest. It is not only shown that, after fixing a difficulty parameter and a guessing parameter at zero, the item parameters are identified, but also that under those restrictions the distribution G is not identified. It is finally shown that, after introducing two identification restrictions, either on the distribution G or on the item parameters, the distribution G and the item parameters are identified provided an infinite quantity of items is available.     

ASSESSING AND PROGRAMMING GENERALIZED BEHAVIORAL REDUCTION ACROSS MULTIPLE STIMULUS PARAMETERS

Generalization across three stimulus parameters was examined for 5 individuals whose self-injurious behavior was maintained by escape from task demands. Prior to treatment, three stimulus parameters (therapist, setting, and demands) were systematically varied across baseline sessions. These variables were held constant during treatment, which consisted of escape extinction. When treatment was completed, three novel stimulus parameters were probed. If the rate of self-injury was high during this probe, treatment was reimplemented with one new stimulus parameter (the other two were the same as in the original treatment condition). Following this second treatment, another probe with three novel stimuli was conducted. If the rate of self-injury was again high, treatment was implemented again while a second stimulus parameter was changed. This sequence continued until generalization was observed across the three parameters. Results showed idiosyncratic differences in generalization. The behavior of 2 subjects showed complete generalization during the first novel probe. A 3rd subject's behavior showed generalization following treatment across two stimulus parameters (setting and therapist). The behavior of the 2 remaining subjects showed a complete lack of generalization across the three parameters; both subjects required training for novelty by randomly varying the stimulus parameters for a substantial number of sessions.     

A general approach to confirmatory maximum likelihood factor analysis

We describe a general procedure by which any number of parameters of the factor analytic model can be held fixed at any values and the remaining free parameters estimated by the maximum likelihood method. The generality of the approach makes it possible to deal with all kinds of solutions: orthogonal, oblique and various mixtures of these. By choosing the fixed parameters appropriately, factors can be defined to have desired properties and make subsequent rotation unnecessary. The goodness of fit of the maximum likelihood solution under the hypothesis represented by the fixed parameters is tested by a large samplex ² test based on the likelihood ratio technique. A by-product of the procedure is an estimate of the variance-covariance matrix of the estimated parameters. From this, approximate confidence intervals for the parameters can be obtained. Several examples illustrating the usefulness of the procedure are given.This work was supported by a grant (NSF-GB 1985) from the National Science Foundation to Educational Testing Service.     

Optimum examinee samples for item parameter estimation in item response theory: A multi-objective programming approach

This paper proposes a multi-objective programming method for determining samples of examinees needed for estimating the parameters of a group of items. In the numerical experiments, optimum samples are compared to uniformly and normally distributed samples. The results show that the samples usually recommended in the literature are well suited for estimating the difficulty parameters. Furthermore, they are also adequate for estimating the discrimination parameters in the three-parameter model, butnot for the guessing parameters.     

Paired comparisons with individual differences

A model of Bradley-Terry type for paired comparisons is considered. In addition to the usual parameters, the model allows for individual parameters and corresponding parameters for the choice-alternatives. The model is applied to a set of data from a Danish investigation of the attitude of blue collar workers towards alternative social gains. The proposed model is finally compared to a model recently suggested by Schönemann and Wang.     

Personality and density distributions of behavior,emotions, and situations

Whole Trait Theory defines personality as a density distribution of one’s momentary behavior, complete with all of its parameters (e.g., mean, SD, skew, kurtosis). Two questions regarding these parameters remain largely unexamined: (1) are individual differences in these parameters stable? And (2) do scores on standard personality tests correspond to these parameters? The current study (N = 209) employed an experience sampling design (N_obs ≈ 8300) to examine the stability of density distribution parameters and the relationship between standard personality test scores and density distribution parameters of 10 behaviors/emotions and 8 situation characteristics. Results showed that, (a) individual differences in density distribution parameters are moderately stable and (b) at the bivariate level, personality was associated with numerous distribution parameters for a number of behaviors/emotions, and situations. However, when the appropriate statistical controls were taken into account, these associations diminished. While individual differences in density distribution parameters we moderately stable, standard personality measures rarely correspond to any other parameters of density distributions once the mean of the density distribution is known. Emotionality and eXtraversion appear as exceptions to this general pattern. These results imply that both theory and measurement in personality should be cognizant of within-person variability in behavior.     

Evaluating different values of effort and reinforcement parameters under concurrent‐ and single‐operant arrangements

If particular parameters (e.g., reinforcer quality) are found to be preferred in a concurrent‐operant arrangement, then these should be incorporated into interventions for maintaining skills in individuals with intellectual disabilities. However, because results from a concurrent‐operant arrangement may not predict those of a single‐operant assessment, interventions with less preferred parameters may also be effective. The purpose of this study was to determine if preference for a particular parameter, determined via concurrent‐operant arrangements, predicted responding when two values of highly and less preferred parameters were manipulated in a single‐operant arrangement. Participants allocated responding to one parameter over another during concurrent‐operant assessments, indicating that certain parameters were highly preferred. However, contingent presentation of two values of less preferred parameters increased compliance to similar levels achieved with two highly preferred parameters in a single‐operant arrangement. These findings suggest that clinicians may have multiple options when selecting parameters for use during intervention.     

A Person Fit Test For Irt Models For Polytomous Items

A person fit test based on the Lagrange multiplier test is presented for three item response theory models for polytomous items: the generalized partial credit model, the sequential model, and the graded response model. The test can also be used in the framework of multidimensional ability parameters. It is shown that the Lagrange multiplier statistic can take both the effects of estimation of the item parameters and the estimation of the person parameters into account. The Lagrange multiplier statistic has an asymptotic χ²-distribution. The Type I error rate and power are investigated using simulation studies. Results show that test statistics that ignore the effects of estimation of the persons’ ability parameters have decreased Type I error rates and power. Incorporating a correction to account for the effects of the estimation of the persons’ ability parameters results in acceptable Type I error rates and power characteristics; incorporating a correction for the estimation of the item parameters has very little additional effect. It is investigated to what extent the three models give comparable results, both in the simulation studies and in an example using data from the NEO Personality Inventory-Revised.