Feri Wijayanto, Ioan Gabriel Bucur, Perry Groot, Tom Heskes
{"title":"autoRasch: An R Package to Do Semi-Automated Rasch Analysis.","authors":"Feri Wijayanto, Ioan Gabriel Bucur, Perry Groot, Tom Heskes","doi":"10.1177/01466216221125178","DOIUrl":"https://doi.org/10.1177/01466216221125178","url":null,"abstract":"<p><p>The R package autoRasch has been developed to perform a Rasch analysis in a (semi-)automated way. The automated part of the analysis is achieved by optimizing the so-called <i>in-plus-out-of-questionnaire log-likelihood</i> (IPOQ-LL) or IPOQ-LL-DIF when differential item functioning (DIF) is included. These criteria measure the quality of fit on a pre-collected survey, depending on which items are included in the final instrument. To compute these criteria, autoRasch fits the generalized partial credit model (GPCM) or the generalized partial credit model with differential item functioning (GPCM-DIF) using penalized joint maximum likelihood estimation (PJMLE). The package further allows the user to reevaluate the output of the automated method and use it as a basis for performing a manual Rasch analysis and provides standard statistics of Rasch analyses (e.g., outfit, infit, person separation reliability, and residual correlation) to support the model reevaluation.</p>","PeriodicalId":48300,"journal":{"name":"Applied Psychological Measurement","volume":"47 1","pages":"83-85"},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9679921/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"40494732","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Outlier Detection Using t-test in Rasch IRT Equating under NEAT Design.","authors":"Chunyan Liu, Daniel Jurich","doi":"10.1177/01466216221124045","DOIUrl":"10.1177/01466216221124045","url":null,"abstract":"<p><p>In equating practice, the existence of outliers in the anchor items may deteriorate the equating accuracy and threaten the validity of test scores. Therefore, stability of the anchor item performance should be evaluated before conducting equating. This study used simulation to investigate the performance of the <i>t</i>-test method in detecting outliers and compared its performance with other outlier detection methods, including the logit difference method with 0.5 and 0.3 as the cutoff values and the robust <i>z</i> statistic with 2.7 as the cutoff value. The investigated factors included sample size, proportion of outliers, item difficulty drift direction, and group difference. Across all simulated conditions, the <i>t</i>-test method outperformed the other methods in terms of sensitivity of flagging true outliers, bias of the estimated translation constant, and the root mean square error of examinee ability estimates.</p>","PeriodicalId":48300,"journal":{"name":"Applied Psychological Measurement","volume":"47 1","pages":"34-47"},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9679927/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"40494730","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Kuan-Yu Jin, Chia-Ling Hsu, Ming Ming Chiu, Po-Hsi Chen
{"title":"Modeling Rapid Guessing Behaviors in Computer-Based Testlet Items.","authors":"Kuan-Yu Jin, Chia-Ling Hsu, Ming Ming Chiu, Po-Hsi Chen","doi":"10.1177/01466216221125177","DOIUrl":"10.1177/01466216221125177","url":null,"abstract":"<p><p>In traditional test models, test items are independent, and test-takers slowly and thoughtfully respond to each test item. However, some test items have a common stimulus (dependent test items in a testlet), and sometimes test-takers lack motivation, knowledge, or time (speededness), so they perform rapid guessing (RG). Ignoring the dependence in responses to testlet items can negatively bias standard errors of measurement, and ignoring RG by fitting a simpler item response theory (IRT) model can bias the results. Because computer-based testing captures response times on testlet responses, we propose a mixture testlet IRT model with item responses and response time to model RG behaviors in computer-based testlet items. Two simulation studies with Markov chain Monte Carlo estimation using the JAGS program showed (a) good recovery of the item and person parameters in this new model and (b) the harmful consequences of ignoring RG (biased parameter estimates: overestimated item difficulties, underestimated time intensities, underestimated respondent latent speed parameters, and overestimated precision of respondent latent estimates). The application of IRT models with and without RG to data from a computer-based language test showed parameter differences resembling those in the simulations.</p>","PeriodicalId":48300,"journal":{"name":"Applied Psychological Measurement","volume":"47 1","pages":"19-33"},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9679923/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"40494726","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Efficient Metropolis-Hastings Robbins-Monro Algorithm for High-Dimensional Diagnostic Classification Models.","authors":"Chen-Wei Liu","doi":"10.1177/01466216221123981","DOIUrl":"10.1177/01466216221123981","url":null,"abstract":"<p><p>The expectation-maximization (EM) algorithm is a commonly used technique for the parameter estimation of the diagnostic classification models (DCMs) with a prespecified Q-matrix; however, it requires <i>O</i>(2 <sup><i>K</i></sup> ) calculations in its expectation-step, which significantly slows down the computation when the number of attributes, <i>K</i>, is large. This study proposes an efficient Metropolis-Hastings Robbins-Monro (eMHRM) algorithm, needing only <i>O</i>(<i>K</i> + 1) calculations in the Monte Carlo expectation step. Furthermore, the item parameters and structural parameters are approximated via the Robbins-Monro algorithm, which does not require time-consuming nonlinear optimization procedures. A series of simulation studies were conducted to compare the eMHRM with the EM and a Metropolis-Hastings (MH) algorithm regarding the parameter recovery and execution time. The outcomes presented in this article reveal that the eMHRM is much more computationally efficient than the EM and MH, and it tends to produce better estimates than the EM when <i>K</i> is large, suggesting that the eMHRM is a promising parameter estimation method for high-dimensional DCMs.</p>","PeriodicalId":48300,"journal":{"name":"Applied Psychological Measurement","volume":"46 8","pages":"662-674"},"PeriodicalIF":1.2,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9574082/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"40656644","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Attenuation-Corrected Estimators of Reliability.","authors":"Jari Metsämuuronen","doi":"10.1177/01466216221108131","DOIUrl":"https://doi.org/10.1177/01466216221108131","url":null,"abstract":"<p><p>The estimates of reliability are usually attenuated and deflated because the item-score correlation ( <math> <mrow><msub><mi>ρ</mi> <mrow><mi>g</mi> <mi>X</mi></mrow> </msub> </mrow> </math> , <i>Rit</i>) embedded in the most widely used estimators is affected by several sources of mechanical error in the estimation. Empirical examples show that, in some types of datasets, the estimates by traditional alpha may be deflated by 0.40-0.60 units of reliability and those by maximal reliability by 0.40 units of reliability. This article proposes a new kind of estimator of correlation: attenuation-corrected correlation (<i>R</i> <sub><i>AC</i></sub> ): the proportion of observed correlation with the maximal possible correlation reachable by the given item and score. By replacing <math> <mrow><msub><mi>ρ</mi> <mrow><mi>g</mi> <mi>X</mi></mrow> </msub> </mrow> </math> with <i>R</i> <sub><i>AC</i></sub> in known formulas of estimators of reliability, we get attenuation-corrected alpha, theta, omega, and maximal reliability which all belong to a family of so-called deflation-corrected estimators of reliability.</p>","PeriodicalId":48300,"journal":{"name":"Applied Psychological Measurement","volume":"46 8","pages":"720-737"},"PeriodicalIF":1.2,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ftp.ncbi.nlm.nih.gov/pub/pmc/oa_pdf/66/7b/10.1177_01466216221108131.PMC9574086.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"40573822","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Item Selection With Collaborative Filtering in On-The-Fly Multistage Adaptive Testing.","authors":"Jiaying Xiao, Okan Bulut","doi":"10.1177/01466216221124089","DOIUrl":"https://doi.org/10.1177/01466216221124089","url":null,"abstract":"<p><p>An important design feature in the implementation of both computerized adaptive testing and multistage adaptive testing is the use of an appropriate method for item selection. The item selection method is expected to select the most optimal items depending on the examinees' ability level while considering other design features (e.g., item exposure and item bank utilization). This study introduced collaborative filtering (CF) as a new method for item selection in the <i>on-the-fly assembled multistage adaptive testing</i> framework. The user-based CF (UBCF) and item-based CF (IBCF) methods were compared to the maximum Fisher information method based on the accuracy of ability estimation, item exposure rates, and item bank utilization under different test conditions (e.g., item bank size, test length, and the sparseness of training data). The simulation results indicated that the UBCF method outperformed the traditional item selection methods regarding measurement accuracy. Also, the IBCF method showed the most superior performance in terms of item bank utilization. Limitations of the current study and the directions for future research are discussed.</p>","PeriodicalId":48300,"journal":{"name":"Applied Psychological Measurement","volume":"46 8","pages":"690-704"},"PeriodicalIF":1.2,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ftp.ncbi.nlm.nih.gov/pub/pmc/oa_pdf/09/ba/10.1177_01466216221124089.PMC9574085.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"40656645","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Flexible Item Response Models for Count Data: The Count Thresholds Model.","authors":"Gerhard Tutz","doi":"10.1177/01466216221108124","DOIUrl":"10.1177/01466216221108124","url":null,"abstract":"<p><p>A new item response theory model for count data is introduced. In contrast to models in common use, it does not assume a fixed distribution for the responses as, for example, the Poisson count model and extensions do. The distribution of responses is determined by difficulty functions which reflect the characteristics of items in a flexible way. Sparse parameterizations are obtained by choosing fixed parametric difficulty functions, more general versions use an approximation by basis functions. The model can be seen as constructed from binary response models as the Rasch model or the normal-ogive model to which it reduces if responses are dichotomized. It is demonstrated that the model competes well with advanced count data models. Simulations demonstrate that parameters and response distributions are recovered well. An application shows the flexibility of the model to account for strongly varying distributions of responses.</p>","PeriodicalId":48300,"journal":{"name":"Applied Psychological Measurement","volume":"46 8","pages":"643-661"},"PeriodicalIF":1.2,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9574081/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"40573824","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Empirical Identification Issue of the Bifactor Item Response Theory Model.","authors":"Wenya Chen, Ken A Fujimoto","doi":"10.1177/01466216221108133","DOIUrl":"10.1177/01466216221108133","url":null,"abstract":"<p><p>Using the bifactor item response theory model to analyze data arising from educational and psychological studies has gained popularity over the years. Unfortunately, using this model in practice comes with challenges. One such challenge is an empirical identification issue that is seldom discussed in the literature, and its impact on the estimates of the bifactor model's parameters has not been demonstrated. This issue occurs when an item's discriminations on the general and specific dimensions are approximately equal (i.e., the within-item discriminations are similar in strength), leading to difficulties in obtaining unique estimates for those discriminations. We conducted three simulation studies to demonstrate that within-item discriminations being similar in strength creates problems in estimation stability. The results suggest that a large sample could alleviate but not resolve the problems, at least when considering sample sizes up to 4,000. When the discriminations within items were made clearly different, the estimates of these discriminations were more consistent across the data replicates than that observed when the discriminations within the items were similar. The results also show that the similarity of an item's discriminatory magnitudes on different dimensions has direct implications on the sample size needed in order to consistently obtain accurate parameter estimates. Although our goal was to provide evidence of the empirical identification issue, the study further reveals that the extent of similarity of within-item discriminations, the magnitude of discriminations, and how well the items are targeted to the respondents also play factors in the estimation of the bifactor model's parameters.</p>","PeriodicalId":48300,"journal":{"name":"Applied Psychological Measurement","volume":"46 8","pages":"675-689"},"PeriodicalIF":1.2,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9574084/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"40656647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Modified Item-Fit Indices for Dichotomous IRT Models with Missing Data.","authors":"Xue Zhang, Chun Wang","doi":"10.1177/01466216221125176","DOIUrl":"10.1177/01466216221125176","url":null,"abstract":"<p><p>Item-level fit analysis not only serves as a complementary check to global fit analysis, it is also essential in scale development because the fit results will guide item revision and/or deletion (Liu & Maydeu-Olivares, 2014). During data collection, missing response data may likely happen due to various reasons. Chi-square-based item fit indices (e.g., Yen's <i>Q</i> <sub><i>1</i></sub> , McKinley and Mill's <i>G</i> <sup><i>2</i></sup> , Orlando and Thissen's <i>S-X</i> <sup><i>2</i></sup> and <i>S-G</i> <sup><i>2</i></sup> ) are the most widely used statistics to assess item-level fit. However, the role of total scores with complete data used in <i>S-X</i> <sup><i>2</i></sup> and <i>S-G</i> <sup><i>2</i></sup> is different from that with incomplete data. As a result, <i>S-X</i> <sup><i>2</i></sup> and <i>S-G</i> <sup><i>2</i></sup> cannot handle incomplete data directly. To this end, we propose several modified versions of <i>S-X</i> <sup><i>2</i></sup> and <i>S-G</i> <sup><i>2</i></sup> to evaluate item-level fit when response data are incomplete, named as <i>M</i> <sub><i>impute</i></sub> <i>-X</i> <sup><i>2</i></sup> and <i>M</i> <sub><i>impute</i></sub> <i>-G</i> <sup><i>2</i></sup> , of which the subscript \"<i>impute</i>\" denotes different imputation methods. Instead of using observed total scores for grouping, the new indices rely on imputed total scores by either a single imputation method or three multiple imputation methods (i.e., two-way with normally distributed errors, corrected item-mean substitution with normally distributed errors and response function imputation). The new indices are equivalent to <i>S-X</i> <sup><i>2</i></sup> and <i>S-G</i> <sup><i>2</i></sup> when response data are complete. Their performances are evaluated and compared via simulation studies; the manipulated factors include test length, sources of misfit, misfit proportion, and missing proportion. The results from simulation studies are consistent with those of Orlando and Thissen (2000, 2003), and different indices are recommended under different conditions.</p>","PeriodicalId":48300,"journal":{"name":"Applied Psychological Measurement","volume":"46 8","pages":"705-719"},"PeriodicalIF":1.2,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9574083/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"40656646","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Diagnostic Classification Models for a Mixture of Ordered and Non-ordered Response Options in Rating Scales.","authors":"Ren Liu, Haiyan Liu, Dexin Shi, Zhehan Jiang","doi":"10.1177/01466216221108132","DOIUrl":"10.1177/01466216221108132","url":null,"abstract":"<p><p>When developing ordinal rating scales, we may include potentially unordered response options such as \"Neither Agree nor Disagree,\" \"Neutral,\" \"Don't Know,\" \"No Opinion,\" or \"Hard to Say.\" To handle responses to a mixture of ordered and unordered options, Huggins-Manley et al. (2018) proposed a class of semi-ordered models under the unidimensional item response theory framework. This study extends the concept of semi-ordered models into the area of diagnostic classification models. Specifically, we propose a flexible framework of semi-ordered DCMs that accommodates most earlier DCMs and allows for analyzing the relationship between those potentially unordered responses and the measured traits. Results from an operational study and two simulation studies show that the proposed framework can incorporate both ordered and non-ordered responses into the estimation of the latent traits and thus provide useful information about both the items and the respondents.</p>","PeriodicalId":48300,"journal":{"name":"Applied Psychological Measurement","volume":"46 7","pages":"622-639"},"PeriodicalIF":1.0,"publicationDate":"2022-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ftp.ncbi.nlm.nih.gov/pub/pmc/oa_pdf/f0/84/10.1177_01466216221108132.PMC9483220.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"33466446","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}