Issues relating to CAT and Gain in psycho-metric testing of STEM subjects using IRT

Book chapter

Naylor, Wade, Rubab, Sundas, Wang, You-Gan and Qiu, Xuelan. (2024). Issues relating to CAT and Gain in psycho-metric testing of STEM subjects using IRT. In In White, Peta J., Tytler, Russell, Ferguson, Joseph Paul and Clark, Cripps John (Ed.). Methodological approaches to STEM education research ; volume 5 pp. 362-382 Cambridge Scholars Publishing.
AuthorsNaylor, Wade, Rubab, Sundas, Wang, You-Gan and Qiu, Xuelan
EditorsWhite, Peta J., Tytler, Russell, Ferguson, Joseph Paul and Clark, Cripps John
Abstract

This chapter focuses on two critical issues of concept inventories (CIs) in STEM subjects (STEM-CIs) for initial teacher education (ITE)—one is enhancing testing efficiency and accuracy for CI tests through modern technologies and the other is evaluating learning gain in a more general approach. First, we review the research conducted on STEM-CIs using modern item response theory (IRT) and discuss the advantages of their use in STEM education. Second, we discuss applications of IRT models, which not only serve as analytical tools but also form the foundation for the development of computerised adaptive testing (CAT) that can improve efficiency substantially and reduce student anxiety by selecting items that are tailored to each student’s CI level. Third, we present several rigorous mathematical computations of gain based on a general family of IRT models. Finally, we discuss how these methodologies when applied to STEM-CIs have important applications for conceptual understanding in ITE research.

Keywordsinitial teacher education (ITE); concept inventories (CIs); learning gains; computerised adaptive testing (CAT); item response theory (IRT)
Page range362-382
Year2024
Book titleMethodological approaches to STEM education research ; volume 5
PublisherCambridge Scholars Publishing
Place of publicationNewcastle upon Tyne, United Kingdom
SeriesContemporary approaches to research in STEM education
ISBN9781036413446
9781036413453
Web address (URL)https://search.ebscohost.com/login.aspx?direct=true&AuthType=shib&db=nlebk&AN=4085753&site=ehost-live&scope=site&custid=s5501413
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Online2024
Print2024
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Deposited22 Jan 2025
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Callens, A., Wang, Y.-G., Fu, L. and Liquet, B.. (2021). Robust estimation procedure for autoregressive models with heterogeneity. Environmental Modeling and Assessment. 26(3), pp. 313-323. https://doi.org/10.1007/s10666-020-09730-w
Influential factors on Chinese airlines’ profitability and forecasting methods
Xu, Xu, McGrory, Clare Anne, Wang, You-Gan and Wu, Jinran. (2021). Influential factors on Chinese airlines’ profitability and forecasting methods. Journal of Air Transport Management. 91, p. Article 101969. https://doi.org/10.1016/j.jairtraman.2020.101969
Support vector regression with asymmetric loss for optimal electric load forecasting
Wu, Ryan, Wang, You-Gan, Tian, Yu-Chu, Burrage, Kevin and Cao, Taoyun. (2021). Support vector regression with asymmetric loss for optimal electric load forecasting. Energy. 223, p. Article 119969. https://doi.org/10.1016/j.energy.2021.119969
Inclusion of features derived from a mixture of time window sizes improved classification accuracy of machine learning algorithms for sheep grazing behaviours
Hu, Shuwen, Ingham, Aaron, Schmoelzl, Sabine, McNally, Jody, Little, Bryce, Smith, Daniel, Bishop-Hurley, Greg, Wang, You-Gan and Li, Yutao. (2020). Inclusion of features derived from a mixture of time window sizes improved classification accuracy of machine learning algorithms for sheep grazing behaviours. Computers and Electronics in Agriculture. 179, p. Article 105857. https://doi.org/10.1016/j.compag.2020.105857
Student self-assessment : Why do they do it?
Yan, Zi, Brown, Gavin T. L., Lee, John Chi-Kin and Qiu, Xue-Lan. (2020). Student self-assessment : Why do they do it? Educational Psychology. 40(4), pp. 509-532. https://doi.org/10.1080/01443410.2019.1672038
Response of sediments and phosphorus to catchment characteristics and human activities under different rainfall patterns with Bayesian Networks
Jin, Guangqiu, Xu, Jing, Mo, Yuming, Tang, Hongwu, Wei, Tong, Wang, You-Gan and Li, Ling. (2020). Response of sediments and phosphorus to catchment characteristics and human activities under different rainfall patterns with Bayesian Networks. Journal of Hydrology. 584, p. Article 124695. https://doi.org/10.1016/j.jhydrol.2020.124695
An improved firefly algorithm for global continuous optimization problems
Wu, Jinran, Wang, You-Gan, Burrage, Kevin, Tian, Yu-Chu, Lawson, Brodie and Ding, Zhe. (2020). An improved firefly algorithm for global continuous optimization problems. Expert Systems with Applications. 149, p. Article 113340. https://doi.org/10.1016/j.eswa.2020.113340
Bias reduction in the two-stage method for degradation data analysis
Xu, Ancha, Wang, You-Gan, Zheng, Shurong and Cai, Fengjing. (2020). Bias reduction in the two-stage method for degradation data analysis. Applied Mathematical Modelling. 77(Part 2), pp. 1413-1424. https://doi.org/10.1016/j.apm.2019.08.024
Exact algorithms for energy-efficient virtual machine placement in data centers
Wei, Chen, Hu, Zhi-Hua and Wang, You-Gan. (2020). Exact algorithms for energy-efficient virtual machine placement in data centers. Future Generation Computer Systems. 106, pp. 77-91. https://doi.org/10.1016/j.future.2019.12.043
A working likelihood approach for robust regression
Fu, Liya, Wang, You-Gan and Cai, Fengjing. (2020). A working likelihood approach for robust regression. Statistical Methods in Medical Research. 29(12), pp. 3641-3652. https://doi.org/10.1177/0962280220936310
Maritime convection and fluctuation between Vietnam and China : A data-driven study
Hu, Zhi-Hua, Liu, Chan-Juan, Chen, Wanting, Wang, You-Gan and Wei, Chen. (2020). Maritime convection and fluctuation between Vietnam and China : A data-driven study. Research in Transportation Business and Management. 34, pp. 1-15. https://doi.org/10.1016/j.rtbm.2019.100414
Identifying barley pan-genome sequence anchors using genetic mapping and machine learning
Gao, Shang, Wu, Ryan, Stiller, Jiri, Zheng, Zhi, Zhou, Meixue, Wang, You-Gan and Liu, Chunji. (2020). Identifying barley pan-genome sequence anchors using genetic mapping and machine learning. Theoretical and Applied Genetics. 133(9), pp. 2535-2544. https://doi.org/10.1007/s00122-020-03615-y
Natural mortality estimation using tree-based ensemble learning models
Liu, Chanjuan, Zhou, Shijie, Wang, You-Gan and Hu, Zhi-Hua. (2020). Natural mortality estimation using tree-based ensemble learning models. ICES Journal of Marine Science. 77(4), pp. 1414-1426. https://doi.org/10.1093/icesjms/fsaa058
Profile-guided three-phase virtual resource management for energy efficiency of data centers
Ding, Zhe, Tian, Yu-Chu, Tang, Maolin, Li, Yuefeng, Wang, You-Gan and Zhou, Chunjie. (2020). Profile-guided three-phase virtual resource management for energy efficiency of data centers. IEEE Transactions on Industrial Electronics. 67(3), pp. 2460-2468. https://doi.org/10.1109/TIE.2019.2902786
Measuring Dynamic Goals for Marriage : Development and Validation of the Marital Goal Scale Using Rasch Modeling
Li, Tianyuan, Hiu-Ling Tsang, Vivian, Fung, H, Qiu, Xuelan and Wang, Wen-Chung. (2019). Measuring Dynamic Goals for Marriage : Development and Validation of the Marital Goal Scale Using Rasch Modeling. Psychological Assessment. 32(3), pp. 211-226. https://doi.org/10.1037/pas0000779
Response of water quality to land use and sewage outfalls in different seasons
Xu, Jing, Jin, Guangqiu, Tang, Hongwu, Mo, Yuming, Wang, You-Gan and Li, Ling. (2019). Response of water quality to land use and sewage outfalls in different seasons. Science of the Total Environment. 696, p. Article 134014. https://doi.org/10.1016/j.scitotenv.2019.134014
Multilevel modeling of cognitive diagnostic assessment : The multilevel DINA example
Wang, Wen-Chung and Qiu, Xue-Lan. (2019). Multilevel modeling of cognitive diagnostic assessment : The multilevel DINA example. Applied Psychological Measurement. 43(1), pp. 34-50. https://doi.org/10.1177/0146621618765713
Item response theory modeling for examinee-selected items with rater effect
Liu, Chen-Wei, Qiu, Xue-Lan and Wang, Wen-Chung. (2019). Item response theory modeling for examinee-selected items with rater effect. Applied Psychological Measurement. 43(6), pp. 435-448. https://doi.org/10.1177/0146621618798667
A new hybrid model to predict the electrical load in five states of Australia
Wu, Jinran, Cui, Zhesen, Chen, Yanyan, Kong, Demeng and Wang, You-Gan. (2019). A new hybrid model to predict the electrical load in five states of Australia. Energy. 166, pp. 598-609. https://doi.org/10.1016/j.energy.2018.10.076
Sweepstakes reproductive success is absent in a New Zealand snapper (Chrysophrus auratus) population protected from fishing despite “tiny” Ne/N ratios elsewhere
Jones, Andy, Lavery, Shane D., Le Port, Agnès, Wang, You-Gan, Blower, Dean and Ovenden, Jennifer. (2019). Sweepstakes reproductive success is absent in a New Zealand snapper (Chrysophrus auratus) population protected from fishing despite “tiny” Ne/N ratios elsewhere. Molecular Ecology. 28(12), pp. 2986-2995. https://doi.org/10.1111/mec.15130
A review of the Behrens–Fisher problem and some of its analogs : Does the same size fit all?
Paul, Sudhir, Wang, You-Gan and Ullah, Insha. (2019). A review of the Behrens–Fisher problem and some of its analogs : Does the same size fit all? Revstat Statistical Journal. 17(4), p. 563–597.
Incorporating social objectives in evaluating sustainable fisheries harvest strategy
Wu, Jiafeng, Wang, Na, Hu, Zhi-Hua, Hong, Zhenjie and Wang, You-Gan. (2019). Incorporating social objectives in evaluating sustainable fisheries harvest strategy. Environmental Modeling and Assessment. 24(4), pp. 381-386. https://doi.org/10.1007/s10666-019-9651-9
Significance tests for analyzing gene expression data with small sample sizes
Ullah, Insha, Paul, Sudhir, Hong, Zhenjie and Wang, You-Gan. (2019). Significance tests for analyzing gene expression data with small sample sizes. Bioinformatics. 35(20), pp. 3996-4003. https://doi.org/10.1093/bioinformatics/btz189
Robust Estimation Using Modified Huber’s Functions With New Tails
Jiang, Yunlu, Wang, You-Gan, Fu, Liya and Wang, Xueqin. (2019). Robust Estimation Using Modified Huber’s Functions With New Tails. Technometrics. 61(1), pp. 111-122. https://doi.org/10.1080/00401706.2018.1470037
Variable selection in rank regression for analyzing longitudinal data
Fu, Liya and Wang, You-Gan. (2018). Variable selection in rank regression for analyzing longitudinal data. Statistical Methods in Medical Research. 27(8), pp. 2447-2458. https://doi.org/10.1177/0962280216681347
Assessing temporal variations of Ammonia Nitrogen concentrations and loads in the Huaihe River Basin in relation to policies on pollution source control
Xu, Jing, Jin, Guangqiu, Tang, Hongwu, Zhang, Pei, Wang, Shen, Wang, You-Gan and Li, Ling. (2018). Assessing temporal variations of Ammonia Nitrogen concentrations and loads in the Huaihe River Basin in relation to policies on pollution source control. Science of the Total Environment. 642, pp. 1386-1395. https://doi.org/10.1016/j.scitotenv.2018.05.395
Genomic prediction of breeding values using a subset of SNPs identified by three machine learning methods
Li, Bo, Zhang, Nanxi, Wang, You-Gan, George, Andrew W., Reverter, Antonio and Li, Yutao. (2018). Genomic prediction of breeding values using a subset of SNPs identified by three machine learning methods. Frontiers in Genetics. 9, p. Article 237. https://doi.org/10.3389/fgene.2018.00237
Dividend growth and equity premium predictability
Zhu, Min, Chen, Rui, Du, Ke and Wang, You-Gan. (2018). Dividend growth and equity premium predictability. International Review of Economics and Finance. 56, pp. 125-137. https://doi.org/10.1016/j.iref.2017.10.020
Robust Regression with Data-Dependent Regularization Parameters and Autoregressive Temporal Correlations
Wang, Na, Wang, You-Gan, Hu, Shuwen, Hu, Zhi-Hua, Xu, Jing, Tang, Hongwu and Jin, Guangqiu. (2018). Robust Regression with Data-Dependent Regularization Parameters and Autoregressive Temporal Correlations. Environmental Modeling and Assessment. 23(6), pp. 779-786. https://doi.org/10.1007/s10666-018-9605-7
Analysis of spatial data with a nested correlation structure
Adegboye, Oyelola, Leung, Denis and Wang, You-Gan. (2018). Analysis of spatial data with a nested correlation structure. Journal of the Royal Statistical Society Series C: Applied Statistics. 67(2), pp. 329-354. https://doi.org/10.1111/rssc.12230
Working correlation structure selection in generalized estimating equations
Fu, Liya, Hao, Yangyang and Wang, You-Gan. (2018). Working correlation structure selection in generalized estimating equations. Computational Statistics. 33(2), pp. 983-996. https://doi.org/10.1007/s00180-018-0800-4
Gender gap and polarisation of physics on global courses
Alinea, Allan L. and Naylor, Wade. (2017). Gender gap and polarisation of physics on global courses. Physics Education. 33(2), p. Article 03.
Selection of working correlation structure in generalized estimating equations
Wang, You-Gan and Fu, Liya. (2017). Selection of working correlation structure in generalized estimating equations. Statistics in Medicine. 36(14), pp. 2206-2219. https://doi.org/10.1002/sim.7262
Blockwise AICc for model selection in generalized linear models
Song, Guofeng, Dong, Xiaogang, Wu, Jiafeng and Wang, You-Gan. (2017). Blockwise AICc for model selection in generalized linear models. Environmental Modeling and Assessment. 22(6), pp. 523-533. https://doi.org/10.1007/s10666-017-9552-8
A comment on Koh’s “The optimal design of fallible organizations : Invariance of optimal decision threshold and uniqueness of hierarchy and polyarchy structures”
Zhu, Min, Liu, Chang and Wang, You-Gan. (2017). A comment on Koh’s “The optimal design of fallible organizations : Invariance of optimal decision threshold and uniqueness of hierarchy and polyarchy structures”. Social Choice and Welfare. 48(2), pp. 385-392. https://doi.org/10.1007/s00355-016-1009-5
The Buckley–James estimator and induced smoothing
Wang, You-Gan, Zhao, Yudong and Fu, Liya. (2016). The Buckley–James estimator and induced smoothing. Australian and New Zealand Journal of Statistics. 58(2), pp. 211-225. https://doi.org/10.1111/anzs.12155
Maximum likelihood estimation of natural mortality and quantification of temperature effects on catchability of brown tiger prawn (penaeus esculentus) in Moreton Bay (Australia) using logbook data
Kienzle, Marco, Sterling, David, Zhou, Shijie and Wang, You-Gan. (2016). Maximum likelihood estimation of natural mortality and quantification of temperature effects on catchability of brown tiger prawn (penaeus esculentus) in Moreton Bay (Australia) using logbook data. Ecological Modelling. 322, pp. 1-9. https://doi.org/10.1016/j.ecolmodel.2015.11.008
Otolith morphology of four mackerel species (Scomberomorus spp.) in Australia : Species differentiation and prediction for fisheries monitoring and assessment
Zischke, Mitchell T., Litherland, Lenore, Tilyard, Benjamin R., Stratford, Nicholas J., Jones, Ebony L. and Wang, You-Gan. (2016). Otolith morphology of four mackerel species (Scomberomorus spp.) in Australia : Species differentiation and prediction for fisheries monitoring and assessment. Fisheries Research. 176, pp. 39-47. https://doi.org/10.1016/j.fishres.2015.12.003
Efficient parameter estimation via Gaussian copulas for quantile regression with longitudinal data
Fu, Liya and Wang, You-Gan. (2016). Efficient parameter estimation via Gaussian copulas for quantile regression with longitudinal data. Journal of Multivariate Analysis. 143, pp. 492-502. https://doi.org/10.1016/j.jmva.2015.07.004
Mixture of time-dependent growth models with an application to blue swimmer crab length-frequency data
Lloyd-Jones, Luke R., Nguyen, Hien D., McLachlan, Geoffrey J., Sumpton, Wayne and Wang, You-Gan. (2016). Mixture of time-dependent growth models with an application to blue swimmer crab length-frequency data. Biometrics. 72(4), pp. 1255-1265. https://doi.org/10.1111/biom.12531
Movement and growth of the coral reef holothuroids Bohadschia argus and Thelenota ananas
Purcell, Steven W., Piddocke, Toby P., Dalton, Steven J. and Wang, You-Gan. (2016). Movement and growth of the coral reef holothuroids Bohadschia argus and Thelenota ananas. Marine Ecology Progress Series. 551, pp. 201-214. https://doi.org/10.3354/meps11720
Improved confidence intervals for the linkage disequilibrium method for estimating effective population size
Jones, A. T., Ovenden, J. R. and Wang, Y.-G.. (2016). Improved confidence intervals for the linkage disequilibrium method for estimating effective population size. Heredity. 117(4), pp. 217-223. https://doi.org/10.1038/hdy.2016.19
Logarithmic divergences in the κ-inflationary power spectra computed through the uniform approximation
Alinea, Allan L., Kubota, Takahiro and Naylor, Wade. (2016). Logarithmic divergences in the κ-inflationary power spectra computed through the uniform approximation. Journal of Cosmology and Astroparticle Physics. 2016(2), pp. 1-31. https://doi.org/10.1088/1475-7516/2016/02/028
Polarization of physics on global courses
Alinea, Allan L. and Naylor, Wade. (2015). Polarization of physics on global courses. Physics Education. 50(2), pp. 210-217. https://doi.org/10.1088/0031-9120/50/2/210
Adiabatic regularisation of power spectra in κ-inflation
Alinea, Allan L., Kubota, Takahiro, Nakanishi, Yukari and Naylor, Wade. (2015). Adiabatic regularisation of power spectra in κ-inflation. Journal of Cosmology and Astroparticle Physics. 2015(6), pp. 1-17. https://doi.org/10.1088/1475-7516/2015/06/019
Gravitino fields in Schwarzschild black hole spacetimes
Chen, C.-H., Cho, H. T., Cornell, A. S., Harmsen, G. and Naylor, Wade. (2015). Gravitino fields in Schwarzschild black hole spacetimes. Chinese Journal of Physics. 53(6), p. Article 110101. https://doi.org/10.6122/CJP.20150511
Vacuum-excited surface plasmon polaritons
Naylor, Wade. (2015). Vacuum-excited surface plasmon polaritons. Physical Review A. 91(5), p. Article 053804. https://doi.org/10.1103/PhysRevA.91.053804
The conformal transformation in general single field inflation with non-minimal coupling
Kubota, Takahiro, Misumi, Nobuhiko, Naylor, Wade and Okuda, Naoya. (2012). The conformal transformation in general single field inflation with non-minimal coupling. Journal of Cosmology and Astroparticle Physics. 02, pp. 1-16. https://doi.org/10.1088/1475-7516/2012/02/034
Scalar spheroidal harmonics in five dimensional Kerr-(A)dS
Cho, Hing Tong, Cornell, Alan, Doukas, Jason and Naylor, Wade. (2012). Scalar spheroidal harmonics in five dimensional Kerr-(A)dS. Progress of Theoretical and Experimental Physics. 128(2), pp. 227-241. https://doi.org/10.1143/PTP.128.227
A new approach to black hole quasinormal modes : A review of the asymptotic iteration method
Cho, H. T., Cornell, A. S., Doukas, J., Huang, T.-R. and Naylor, Wade. (2012). A new approach to black hole quasinormal modes : A review of the asymptotic iteration method. Advances in Mathematical Physics. 2021, p. Article 281705. https://doi.org/10.1155/2012/281705
Towards particle creation in a microwave cylindrical cavity
Naylor, Wade. (2012). Towards particle creation in a microwave cylindrical cavity. Physical Review A. 86(2), p. Article 023842. https://doi.org/10.1103/PhysRevA.86.023842
Black hole quasinormal modes using the asymptotic iteration method
Cho, H. T., Cornell, A. S., Doukas, J. and Naylor, W.. (2010). Black hole quasinormal modes using the asymptotic iteration method. Classical and Quantum Gravity. 27(15), pp. 1-12. https://doi.org/10.1088/0264-9381/27/15/155004
Graviton emission from a higher-dimensional black hole
Cornell, Alan S., Naylor, Wade and Sasaki, Misao. (2006). Graviton emission from a higher-dimensional black hole. Journal of High Energy Physics. 2006(2), p. Article 12. https://doi.org/10.1088/1126-6708/2006/02/012