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Homogeneous case of the continuous response model 总被引:1,自引:0,他引:1
Fumiko Samejima 《Psychometrika》1973,38(2):203-219
In line with the latent trait model, the continuous response level is defined and considered, in contrast to the discrete
response levels, which have already been explored by the author. Discussions are mainly focused on the homogeneous case and
the open response situation. The operating density characteristic of the continuous item score is defined. Also the basic
function, information functions and the positive-exponent family are discussed on the continuous response level, in connection
with the sufficient condition that a unique maximum estimate is provided for the response pattern, which consists of the continuous
item scores. 相似文献
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Several studies have shown significant correlations among factors such as sex, age, and hormone levels with performance on mental rotation tasks. To perform spatial rotation also seems to be related to cognitive abilities such as musical skills. The present experiment investigated a possible relationship for enhanced spatial abilities, as observed in near-sighted subjects, with mental rotation performance. 39 near-sighted and 21 normal-sighted subjects were tested on a mental rotation task using two-dimensional representations of three-dimensional objects. Near-sighted subjects displayed fewer errors in possible rotations than normal-sighted subjects. There was no difference in errors between groups in identification of mirror images ("impossible rotations"). Results were interpreted in terms of a relation between enhanced reliance on nonvisual information by near-sighted subjects and improved spatial representation. 相似文献
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Fumiko Samejima 《Psychometrika》1993,58(2):195-209
Samejima has recently given an approximation for the bias function for the maximum likelihood estimate of the latent trait in the general case where item responses are discrete, generalizing Lord's bias function in the three-parameter logistic model for the dichotomous response level. In the present paper, observations are made about the behavior of this bias function for the dichotomous response level in general, and also with respect to several widely used mathematical models. Some empirical examples are given. 相似文献
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Fumiko Samejima 《Psychometrika》1993,58(1):119-138
Lord developed an approximation for the bias function for the maximum likelihood estimate in the context of the three-parameter logistic model. Using Taylor's expansion of the likelihood equation, he obtained an equation that includes the conditional expectation, given true ability, of the discrepancy between the maximum likelihood estimate and true ability. All terms of orders higher thann ?1 are ignored wheren indicates the number of items. Lord assumed that all item and individual parameters are bounded, all item parameters are known or well-estimated, and the number of items is reasonably large. In the present paper, an approximation for the bias function of the maximum likelihood estimate of the latent trait, or ability, will be developed using the same assumptions for the more general case where item responses are discrete. This will include the dichotomous response level, for which the three-parameter logistic model has been discussed, the graded response level and the nominal response level. Some observations will be made for both dichotomous and graded response levels. 相似文献
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Fumiko Samejima 《Psychometrika》2000,65(3):319-335
The paper addresses and discusses whether the tradition of accepting point-symmetric item characteristic curves is justified by uncovering the inconsistent relationship between the difficulties of items and the order of maximum likelihood estimates of ability. This inconsistency is intrinsic in models that provide point-symmetric item characteristic curves, and in this paper focus is put on the normal ogive model for observation. It is also questioned if in the logistic model the sufficient statistic has forfeited the rationale that is appropriate to the psychological reality. It is observed that the logistic model can be interpreted as the case in which the inconsistency in ordering the maximum likelihood estimates is degenerated.The paper proposes a family of models, called the logistic positive exponent family, which provides asymmetric item chacteristic curves. A model in this family has a consistent principle in ordering the maximum likelihood estimates of ability. The family is divided into two subsets each of which has its own principle, and includes the logistic model as a transition from one principle to the other. Rationale and some illustrative examples are given. 相似文献
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The effects of social comparison feedback on specific self-efficacy and performance of high generalized self-efficacy participants and low generalized self-efficacy participants were examined with the help of 20 participants with high generalized self-efficacy and 20 participants with low generalized self-efficacy. Half of the participants in each generalized self-efficacy group received negative social comparison feedback after each of four trials of an experimental task while the other half received no feedback. Two kinds of specific self-efficacy-performance-based and normative-based--were measured once before the task and four times after the trials of the task. After the task, the High generalized self-efficacy/Feedback group rated performance-based specific self-efficacy higher and performed better than the Low generalized self-efficacy/Feedback group. No significant difference was observed between the High generalized self-efficacy/No feedback group and Low generalized self-efficacy/No feedback group. There were no significant effects with regard to normative-based specific self-efficacy. 相似文献
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This study investigated the knowledge and strategies used by senior high school students to compare durations of movement by two objects. The developmental process during adolescence was also examined by comparing the results with those published for Grade 7 to Grade 9 students and university undergraduates. A cathode-ray tube monitor was used to present images of two cars traveling in the same direction for various durations and distances. 30 Grade 12 students were asked to identify which of the cars had traveled for a longer duration and why. Analysis suggested that the strategies develop during adolescence in a sequence. Initially, comparison of durations was based on the relative distance traveled by the two cars. Then the comparison was based exclusively on knowledge that "duration = temporal starting point- temporal stopping point." Finally, the two types of knowledge were used appropriately according to the characteristics of the specific task. 相似文献