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1.
《Educational Assessment》2013,18(2):125-146
States are implementing statewide assessment programs that classify students into proficiency levels that reflect state-defined performance standards. In an effort to provide support for score interpretations, this study examined the consistency of classifications based on competing item response theory (IRT) models for data from a state assessment program. Classification of students into proficiency levels was compared based on a 1-parameter vs. a 3-parameter IRT model. Despite an overall high level of agreement between classifications based on the 2 models, systematic differences were observed. Under the 1-parameter model, proficiency was underestimated for low proficiency classifications but overestimated for upper proficiency classifications. This resulted in higher "Below Basic" and "Advanced" classifications under 1-parameter vs. 3-parameter IRT applications. Implications of these differences are discussed.  相似文献   

2.
The central idea of differential item functioning (DIF) is to examine differences between two groups at the item level while controlling for overall proficiency. This approach is useful for examining hypotheses at a finer-grain level than are permitted by a total test score. The methodology proposed in this paper is also aimed at estimating differences at the item rather than the overall score level, yet with the innovation where item-level differences for many groups simultaneously are the focus. This is a straightforward generalization of DIF as variance rather than one or several group differences; conceptually, this can be referred to as item difficulty variation (IDV). When instruction is of interest, and "groups" is a unit at which instruction is determined or delivered, then IDV signals value-added effects that can be influenced by either demographic or instructional variables.  相似文献   

3.
In observed‐score equipercentile equating, the goal is to make scores on two scales or tests measuring the same construct comparable by matching the percentiles of the respective score distributions. If the tests consist of different items with multiple categories for each item, a suitable model for the responses is a polytomous item response theory (IRT) model. The parameters from such a model can be utilized to derive the score probabilities for the tests and these score probabilities may then be used in observed‐score equating. In this study, the asymptotic standard errors of observed‐score equating using score probability vectors from polytomous IRT models are derived using the delta method. The results are applied to the equivalent groups design and the nonequivalent groups design with either chain equating or poststratification equating within the framework of kernel equating. The derivations are presented in a general form and specific formulas for the graded response model and the generalized partial credit model are provided. The asymptotic standard errors are accurate under several simulation conditions relating to sample size, distributional misspecification and, for the nonequivalent groups design, anchor test length.  相似文献   

4.
A Monte Carlo simulation technique for generating dichotomous item scores is presented that implements (a) a psychometric model with different explicit assumptions than traditional parametric item response theory (IRT) models, and (b) item characteristic curves without restrictive assumptions concerning mathematical form. The four-parameter beta compound-binomial (4PBCB) strong true score model (with two-term approximation to the compound binomial) is used to estimate and generate the true score distribution. The nonparametric item-true score step functions are estimated by classical item difficulties conditional on proportion-correct total score. The technique performed very well in replicating inter-item correlations, item statistics (point-biserial correlation coefficients and item proportion-correct difficulties), first four moments of total score distribution, and coefficient alpha of three real data sets consisting of educational achievement test scores. The technique replicated real data (including subsamples of differing proficiency) as well as the three-parameter logistic (3PL) IRT model (and much better than the 1PL model) and is therefore a promising alternative simulation technique. This 4PBCB technique may be particularly useful as a more neutral simulation procedure for comparing methods that use different IRT models.  相似文献   

5.
Methods are presented for comparing grades obtained in a situation where students can choose between different subjects. It must be expected that the comparison between the grades is complicated by the interaction between the students' pattern and level of proficiency on one hand, and the choice of the subjects on the other hand. Three methods based on item response theory (IRT) for the estimation of proficiency measures that are comparable over students and subjects are discussed: a method based on a model with a unidimensional representation of proficiency, a method based on a model with a multidimensional representation of proficiency, and a method based on a multidimensional representation of proficiency where the stochastic nature of the choice of examination subjects is explicitly modeled. The methods are compared using the data from the Central Examinations in Secondary Education in the Netherlands. The results show that the unidimensional IRT model produces unrealistic results, which do not appear when using the two multidimensional IRT models. Further, it is shown that both the multidimensional models produce acceptable model fit. However, the model that explicitly takes the choice process into account produces the best model fit.  相似文献   

6.
Numerous assessments contain a mixture of multiple choice (MC) and constructed response (CR) item types and many have been found to measure more than one trait. Thus, there is a need for multidimensional dichotomous and polytomous item response theory (IRT) modeling solutions, including multidimensional linking software. For example, multidimensional item response theory (MIRT) may have a promising future in subscale score proficiency estimation, leading toward a more diagnostic orientation, which requires the linking of these subscale scores across different forms and populations. Several multidimensional linking studies can be found in the literature; however, none have used a combination of MC and CR item types. Thus, this research explores multidimensional linking accuracy for tests composed of both MC and CR items using a matching test characteristic/response function approach. The two-dimensional simulation study presented here used real data-derived parameters from a large-scale statewide assessment with two subscale scores for diagnostic profiling purposes, under varying conditions of anchor set lengths (6, 8, 16, 32, 60), across 10 population distributions, with a mixture of simple versus complex structured items, using a sample size of 3,000. It was found that for a well chosen anchor set, the parameters recovered well after equating across all populations, even for anchor sets composed of as few as six items.  相似文献   

7.
In this study, repeated measures item response data from an English language proficiency (ELP) test administered over 2?years were analyzed by item response theory-based approaches to model change over time. First, change over time was modeled by an item side change approach where change was parameterized at the item level. Second, more importantly, this study introduced and demonstrated an application of an interaction model for change, which overcomes a limitation of the item side change approach by allowing interaction effects between persons and item side change parameters. The results showed that student changes in the ELP data used in this study should be modeled for the three sub-content areas and that modeling interaction for change was necessary.  相似文献   

8.
C-tests are gap-filling tests widely used to assess general language proficiency for purposes of placement, screening, or provision of feedback to language learners. C-tests consist of several short texts in which parts of words are missing. We addressed the issue of local dependence in C-tests using an explicit modeling approach based on testlet response theory. Data were provided by a total sample of 4,708 participants working on eight C-test texts with 20 gaps each. The resulting parameter estimates were compared to those obtained from (a) a polytomous item response theory (IRT) model and (b) a standard IRT model that ignored the dependence structure. Testlet effects proved to be very small and correspondence between parameters obtained from the different modeling approaches was high. When local dependence was ignored reliability of the C-test was slightly overestimated. Implications for the analysis of testlets in general, and C-tests in particular are discussed.  相似文献   

9.
The paper deals with the investigation of gender differences in performances in mathematics for Italian students at the end of lower secondary school. The study is based on a new large-scale assessment test developed and administered by the National Evaluation Institute for the School System. Given the evidence in the literature which favors males, performances of female and male students are compared using different approaches. Scores proposed by educational experts based on item subgroups were considered, while a model-based approach was used within item response theory. The results revealed a significant advantage to males in overall performance, while no meaningful differences were observed with respect to item domain and type. An interpretable item map was developed crossing expert opinions with IRT abilities, and plausible proficiency levels were defined. According to the map-based student classification, a relatively lower percentage of females fell into the highest proficiency groups with respect to males.  相似文献   

10.
Wei Tao  Yi Cao 《教育实用测度》2013,26(2):108-121
ABSTRACT

Current procedures for equating number-correct scores using traditional item response theory (IRT) methods assume local independence. However, when tests are constructed using testlets, one concern is the violation of the local item independence assumption. The testlet response theory (TRT) model is one way to accommodate local item dependence. This study proposes methods to extend IRT true score and observed score equating methods to the dichotomous TRT model. We also examine the impact of local item dependence on equating number-correct scores when a traditional IRT model is applied. Results of the study indicate that when local item dependence is at a low level, using the three-parameter logistic model does not substantially affect number-correct equating. However, when local item dependence is at a moderate or high level, using the three-parameter logistic model generates larger equating bias and standard errors of equating compared to the TRT model. However, observed score equating is more robust to the violation of the local item independence assumption than is true score equating.  相似文献   

11.
With known item response theory (IRT) item parameters, Lord and Wingersky provided a recursive algorithm for computing the conditional frequency distribution of number‐correct test scores, given proficiency. This article presents a generalized algorithm for computing the conditional distribution of summed test scores involving real‐number item scores. The generalized algorithm is distinct from the Lord‐Wingersky algorithm in that it explicitly incorporates the task of figuring out all possible unique real‐number test scores in each recursion. Some applications of the generalized recursive algorithm, such as IRT test score reliability estimation and IRT proficiency estimation based on summed test scores, are illustrated with a short test by varying scoring schemes for its items.  相似文献   

12.
This research examined the effect of scoring items thought to be multidimensional using a unidimensional model and demonstrated the use of multidimensional item response theory (MIRT) as a diagnostic tool. Using real data from a large-scale mathematics test, previously shown to function differentially in favor of proficient writers, the difference in proficiency classifications was explored when a two-versus one-dimensional confirmatory model was fit. The estimate of ability obtained when using the unidimensional model was considered to represent general mathematical ability. Under the two-dimensional model, one of the two dimensions was also considered to represent general mathematical ability. The second dimension was considered to represent the ability to communicate in mathematics. The resulting pattern of mismatched proficiency classifications suggested that examinees found to have less mathematics communication ability were more likely to be placed in a lower general mathematics proficiency classification under the unidimensional than multidimensional model. Results and implications are discussed.  相似文献   

13.
The goal of this study was to investigate the usefulness of person‐fit analysis in validating student score inferences in a cognitive diagnostic assessment. In this study, a two‐stage procedure was used to evaluate person fit for a diagnostic test in the domain of statistical hypothesis testing. In the first stage, the person‐fit statistic, the hierarchy consistency index (HCI; Cui, 2007 ; Cui & Leighton, 2009 ), was used to identify the misfitting student item‐score vectors. In the second stage, students’ verbal reports were collected to provide additional information about students’ response processes so as to reveal the actual causes of misfits. This two‐stage procedure helped to identify the misfits of item‐score vectors to the cognitive model used in the design and analysis of the diagnostic test, and to discover the reasons of misfits so that students’ problem‐solving strategies were better understood and their performances were interpreted in a more meaningful way.  相似文献   

14.
We discuss generalizability (G) theory and the fair and valid assessment of linguistic minorities, especially emergent bilinguals. G theory allows examination of the relationship between score variation and language variation (e.g., variation of proficiency across languages, language modes, and social contexts). Studies examining score variation across items administered in emergent bilinguals' first and second languages show that the interaction of student and the facets (sources of measurement error) item and language is an important source of score variation. Each item poses a unique set of linguistic challenges in each language, and each emergent bilingual individual has a unique set of strengths and weaknesses in each language. Based on these findings, G theory can inform the process of test construction in large-scale testing programmes and the development of testing models that ensure more valid and fair interpretations of test scores for linguistic minorities.  相似文献   

15.
The attribute hierarchy method (AHM) is a psychometric procedure for classifying examinees' test item responses into a set of structured attribute patterns associated with different components from a cognitive model of task performance. Results from an AHM analysis yield information on examinees' cognitive strengths and weaknesses. Hence, the AHM can be used for cognitive diagnostic assessment. The purpose of this study is to introduce and evaluate a new concept for assessing attribute reliability using the ratio of true score variance to observed score variance on items that probe specific cognitive attributes. This reliability procedure is evaluated and illustrated using both simulated data and student response data from a sample of algebra items taken from the March 2005 administration of the SAT. The reliability of diagnostic scores and the implications for practice are also discussed.  相似文献   

16.
Measurement specialists routinely assume examinee responses to test items are independent of one another. However, previous research has shown that many contemporary tests contain item dependencies and not accounting for these dependencies leads to misleading estimates of item, test, and ability parameters. The goals of the study were (a) to review methods for detecting local item dependence (LID), (b) to discuss the use of testlets to account for LID in context-dependent item sets, (c) to apply LID detection methods and testlet-based item calibrations to data from a large-scale, high-stakes admissions test, and (d) to evaluate the results with respect to test score reliability and examinee proficiency estimation. Item dependencies were found in the test and these were due to test speededness or context dependence (related to passage structure). Also, the results highlight that steps taken to correct for the presence of LID and obtain less biased reliability estimates may impact on the estimation of examinee proficiency. The practical effects of the presence of LID on passage-based tests are discussed, as are issues regarding how to calibrate context-dependent item sets using item response theory.  相似文献   

17.
AN ITERATIVE ITEM BIAS DETECTION METHOD   总被引：1，自引：0，他引：1  
Two strategies for assessing item bias are discussed: methods that compare (transformed) item difficulties unconditional on ability level and methods that compare the probabilities of correct response conditional on ability level. In the present study, the logit model was used to compare the probabilities of correct response to an item by members of two groups, these probabilities being conditional on the observed score. Here the observed score serves as an indicator of ability level. The logit model was iteratively applied: In the Tth iteration, the T items with the highest value of the bias statistic are excluded from the test, and the observed score indicator of ability for the (T + 1)th iteration is computed from the remaining items. This method was applied to simulated data. The results suggest that the iterative logit method is a substantial improvement on the noniterative one, and that the iterative method is very efficient in detecting biased and unbiased items.  相似文献   

18.
An assumption of item response theory is that a person's score is a function of the item response parameters and the person's ability. In this paper, the effect of variations in instructional coverage on item characteristic functions is examined. Using data from the Second International Mathematics Study (1985), curriculum clusters were formed based on teachers' ratings of their students' opportunities to learn the items on a test. After forming curriculum clusters, item response curves were compared using signed and unsigned sum of squared differences. Some of the differences in the item response curves between curriculum clusters were found to be large, but better performance was not necessarily related to greater opportunity to learn. The item response curve differences were much larger than differences reported in prior studies based on comparisons of black and white students. Implications of the findings for applications of item response theory to educational achievement test data are discussed  相似文献   

19.
This paper describes a four-step approach to constructing diagnostic test profiles that provide precise but practical information on students' instructional needs. The approach is based on the specification and analysis of a domain and uses generalizability theory to determine which skills within the domain need to be assessed to diagnose gaps in students' skills and to estimate score profiles. A 64-item test of pronoun use was constructed to represent 32 categories of usage defined by different combinations of five factors in the domain. Generalizability analyses were conducted to determine the optimal number of categories to be included in students' profiles and the number of items needed for each category, and to produce univariate and multivariate estimates of students' universe scores. Multivariate profiles of universe scores were the most accurate and differed substantially from observed score and univariate universe score profiles.  相似文献   

20.
Psychometric properties of item response theory proficiency estimates are considered in this paper. Proficiency estimators based on summed scores and pattern scores include non-Bayes maximum likelihood and test characteristic curve estimators and Bayesian estimators. The psychometric properties investigated include reliability, conditional standard errors of measurement, and score distributions. Four real-data examples include (a) effects of choice of estimator on score distributions and percent proficient, (b) effects of the prior distribution on score distributions and percent proficient, (c) effects of test length on score distributions and percent proficient, and (d) effects of proficiency estimator on growth-related statistics for a vertical scale. The examples illustrate that the choice of estimator influences score distributions and the assignment of examinee to proficiency levels. In particular, for the examples studied, the choice of Bayes versus non-Bayes estimators had a more serious practical effect than the choice of summed versus pattern scoring.  相似文献   

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