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## Improved Performance of Model Fit Indices with Small Sample Sizes in Cognitive Diagnostic Models

#### Hueying Tzou [1] , Ya-Huei Yang [2]

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Selecting an appropriate cognitive diagnostic model (CDM) for data analysis is always challenging. Studies have explored several model fit indices for CDMs. The common results of these studies indicate that Q-matrix misspecifications lead to poor performance of the model fit indices in the context of CDMs. Thus, this study explored whether model fit indices improve performance with a modified Q-matrix. The average class size has reduced to 23 students in Taiwan because of the low birth rate; therefore, the study sought the effect of sample size on the performance of model fit indices. The results showed that Akaike’s information criterion (AIC) was an excellent model fit index in small samples. Model fit indices with the modified Q-matrix presented superior performance.
RSS, ζ2 index, model fit indices, cognitive diagnostic models, Q-matrix
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Primary Language en Education, Scientific Disciplines March Articles Orcid: 0000-0002-6740-6852Author: Hueying Tzou (Primary Author)Institution: Department of Education, National University of TainanCountry: Taiwan Orcid: 0000-0002-4109-2381Author: Ya-Huei YangInstitution: Department of Education, National University of TainanCountry: Taiwan
 Bibtex @research article { ijate482005, journal = {International Journal of Assessment Tools in Education}, issn = {}, eissn = {2148-7456}, address = {İzzet KARA}, year = {2019}, volume = {6}, pages = {154 - 169}, doi = {10.21449/ijate.482005}, title = {Improved Performance of Model Fit Indices with Small Sample Sizes in Cognitive Diagnostic Models}, key = {cite}, author = {Tzou, Hueying and Yang, Ya-Huei} } APA Tzou, H , Yang, Y . (2019). Improved Performance of Model Fit Indices with Small Sample Sizes in Cognitive Diagnostic Models. International Journal of Assessment Tools in Education, 6 (1), 154-169. DOI: 10.21449/ijate.482005 MLA Tzou, H , Yang, Y . "Improved Performance of Model Fit Indices with Small Sample Sizes in Cognitive Diagnostic Models". International Journal of Assessment Tools in Education 6 (2019): 154-169 Chicago Tzou, H , Yang, Y . "Improved Performance of Model Fit Indices with Small Sample Sizes in Cognitive Diagnostic Models". International Journal of Assessment Tools in Education 6 (2019): 154-169 RIS TY - JOUR T1 - Improved Performance of Model Fit Indices with Small Sample Sizes in Cognitive Diagnostic Models AU - Hueying Tzou , Ya-Huei Yang Y1 - 2019 PY - 2019 N1 - doi: 10.21449/ijate.482005 DO - 10.21449/ijate.482005 T2 - International Journal of Assessment Tools in Education JF - Journal JO - JOR SP - 154 EP - 169 VL - 6 IS - 1 SN - -2148-7456 M3 - doi: 10.21449/ijate.482005 UR - https://doi.org/10.21449/ijate.482005 Y2 - 2019 ER - EndNote %0 International Journal of Assessment Tools in Education Improved Performance of Model Fit Indices with Small Sample Sizes in Cognitive Diagnostic Models %A Hueying Tzou , Ya-Huei Yang %T Improved Performance of Model Fit Indices with Small Sample Sizes in Cognitive Diagnostic Models %D 2019 %J International Journal of Assessment Tools in Education %P -2148-7456 %V 6 %N 1 %R doi: 10.21449/ijate.482005 %U 10.21449/ijate.482005 ISNAD Tzou, Hueying , Yang, Ya-Huei . "Improved Performance of Model Fit Indices with Small Sample Sizes in Cognitive Diagnostic Models". International Journal of Assessment Tools in Education 6 / 1 (March 2019): 154-169. https://doi.org/10.21449/ijate.482005