Using Linear Logistic Rasch Models to Examine Cognitive Complexity and Linguistic Cohesion in Science Items

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Advances in Applications of Rasch Measurement in Science Education

Part of the book series: Contemporary Trends and Issues in Science Education ((CTISE,volume 57))

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Abstract

The purpose of this chapter is to describe the use of Rasch measurement theory to examine the impact of cognitive complexity and linguistic cohesion on science items. This chapter describes a linear logistic Rasch model (LLRM), and conducts a case study to illustrate how to apply the LLRM. In order to provide continuity with previous research on the Rasch model, this chapter describes the connections between methods used to explore item covariates including the Many Facet Rasch Model, hierarchical regression models, and LLRM. The case study uses high school biology assessment data to illustrate the connections between these three approaches.

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References

  • Azen, R., & Walker, C. M. (2011). Categorical data analysis for the behavioral and social sciences. Routledge.

    Book  Google Scholar 

  • Bloom, B. S., et al. (1956). Taxonomy of educational objectives, handbook 1: Cognitive domain. Longman.

    Google Scholar 

  • Bates, D., Mächler, M., Bolker, B., & Walker, S. (2015). Fitting linear mixed-effects models using lme4. Journal of Statistical Software, 67(1), 1–48.

    Article  Google Scholar 

  • Bond, T. G., Yan, Z., & Heene, M. (2021). Applying the Rasch model: Fundamental measurement in the human sciences. Routledge.

    Google Scholar 

  • Boone, W. J., & Staver, J. R. (2020). Advances in Rasch analyses in the human sciences (p. 13). Springer.

    Google Scholar 

  • Bulut, O., Gorgun, G., & Yildirim-Erbasli, S. N. (2021). Estimating explanatory extensions of dichotomous and Polytomous Rasch models: The eirm package in R. Psych, 3(3), 308–321.

    Article  Google Scholar 

  • De Boeck, P., Bakker, M., Zwitser, R., Nivard, M., Hofman, A., Tuerlinckx, F., & Partchev, I. (2011). The estimation of item response models with the lmer function from the lme4 package in R. Journal of Statistical Software, 39, 1–28.

    Article  Google Scholar 

  • De Boeck, P., & Wilson, M. (2004). Explanatory item response models: A generalized linear and nonlinear approach. Springer.

    Book  Google Scholar 

  • Embretson, S. E. (1997). Multicomponent latent trait models. In W. van der Linden & R. Hambleton (Eds.), Handbook of modern item response theory (pp. 305–322). Springer.

    Chapter  Google Scholar 

  • Embretson, S. E. (Ed.). (2010). Measuring psychological constructs: Advances in model-based approaches. American Psychological Association.

    Google Scholar 

  • Embretson, S. E., & McCollam, K. M. S. (2000). A multicomponent Rasch model for measuring covert processes: Application to life span ability changes. In M. Wilson & G. Engelhard (Eds.), Objective measurement: Theory into practice. Ablex Publishing Company.

    Google Scholar 

  • Engelhard, G., & Wang, J. (2021). Rasch models for solving measurement problems: Invariant measurement in the social sciences. Sage.

    Book  Google Scholar 

  • Engelhard, G., & Wind, S. A. (2022). A history of Rasch measurement theory. In B. Clauser & M. Bunch (Eds.), History of educational measurement in the United States (pp. 346–360). Routledge.

    Google Scholar 

  • Faraway, J. J. (2016). Extending the linear model with R: Generalized linear, mixed effects and nonparametric regression models. Chapman and Hall/CRC.

    Book  Google Scholar 

  • Fischer, G. H. (1973). The linear logistic test model as an instrument in educational research. Acta Psychologica, 37(6), 359–374.

    Article  Google Scholar 

  • Fischer, G. H. (1997). Unidimensional linear logistic Rasch models. In W. van der Linden & R. Hambleton (Eds.), Handbook of modern item response theory (pp. 225–243). Springer.

    Chapter  Google Scholar 

  • Flesch, R. (1948). A new readability yardstick. Journal of Applied Psychology, 32, 221–233.

    Article  Google Scholar 

  • Galvin, E., Simmie, M. G., & O’Grady, A. (2015). Identification of misconceptions in the teaching of biology: A pedagogical cycle of recognition, reduction and removal. Higher Education of Social Science, 8(2), 1–8.

    Google Scholar 

  • Graesser, A. C., McNamara, D. S., & Kulikowich, J. M. (2011). Coh-Metrix: Providing multilevel analyses of text characteristics. Educational Researcher, 40(5), 223–234.

    Google Scholar 

  • Holling, H., Blank, H., Kuchenbacker, K., & Kuhn, J. T. (2008). Rule-based item design of statistical word problems: A review and first implementation. Psychology Science, 50(3), 363.

    Google Scholar 

  • Krell, M., Khan, S., & van Driel, J. (2021). Analyzing cognitive demands of a scientific reasoning test using the linear logistic test model (LLTM). Education Sciences, 11(9), 472.

    Article  Google Scholar 

  • Lane, S., Raymond, M. R., & Haladyna, T. M. (Eds.). (2016). Handbook of test development (pp. 3–18). Routledge.

    Google Scholar 

  • Linacre, J. M. (2019a). A User’s guide to WINSTEPS® Rasch-model computer programs: Program manual 4.4. 6. MESA Press.

    Google Scholar 

  • Linacre, J. M. (2019b). Facets computer program for many-facet Rasch measurement, version 3.81.2. Winsteps.com

  • Liu, X. (2020). Using and develo** measurement instruments in science education: A Rasch modeling approach (2nd ed.). Information Age Publishing, Inc.

    Google Scholar 

  • Liu, X., & Boone, W. J. (2006). Applications of Rasch measurement in science education. JAM Press.

    Google Scholar 

  • National Academies of Sciences, Engineering, and Medicine. (2012). A framework for K-12 science education: Practices, crosscutting concepts, and core ideas. The National Academies Press. https://doi.org/10.17226/13165

  • McNamara, D. S., Louwerse, M. M., Cai, Z., & Graesser, A. (2005). Coh-Metrix Version 1.4. Retrieved from http://cohmetrix.com

  • Park, M., & Liu, X. (2021). An investigation of item difficulties in energy aspects across biology, chemistry, environmental science, and physics. Springer Research in Science Education, 51(Supplement 1), S43–S60.

    Article  Google Scholar 

  • Pinheiro, J., & Bates, D. (2006). Mixed-effects models in S and S-PLUS. Springer.

    Google Scholar 

  • Rasch, G. (1960/1980). Probabilistic models for some intelligence and attainment tests. Danish Institute for Educational Research (Expanded edition, Chicago: University of Chicago Press, 1980).

    Google Scholar 

  • R Development Core Team. (2004). R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-00-3, URL http://www.R-project.org

  • Spada, H., & May, R. (1982). The linear logistic test model and its application in educational research. The improvement of measurement in education and psychology (pp. 67–84).

    Google Scholar 

  • Stenner, A. J., Horabin, I., Smith, D. R., & Smith, R. (1988). The Lexile framework. Metametrics, Inc.

    Google Scholar 

  • Tutz, G. (2011). Regression for categorical data. Cambridge University Press.

    Book  Google Scholar 

  • Wang, J., & Engelhard, G. (2019). Exploring the impersonal judgments and personal preferences of raters in rater-mediated assessments with unfolding models. Educational and Psychological Measurement, 79(4), 773–795.

    Article  Google Scholar 

  • Webb, N. (1999). Alignment of science and mathematics standards and assessments in four states (Research monograph No. 18). CCSSO.

    Google Scholar 

  • Wilson, M. (2005). Constructing measures: An item response modeling approach (2nd ed.). Erlbaum.

    Google Scholar 

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Correspondence to Ye Yuan .

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Appendices

Appendices

17.1.1 Appendix A

17.1.1.1 Sample Items from Cell Domain (Levels 2 and 3)

Level 2 ( Skills and concepts )

Level 3 (Strategic thinking)

17.1.1.2 Sample Items from Cell Domain (Levels 2 and 3) (Cont.)

Level 2 ( Skills and concepts )

Level 3 (Strategic thinking)

17.1.2 Appendix B Description of the Coh-Metrix Text Features

Text feature

Description

1.Word count

This is the total number of words in the item stem.

2. Narrativity

Narrative text tells a story, with characters, events, places, and things that are familiar to the reader. Nonnarrative texts on less familiar topics lie at the opposite end of the continuum.

3. Syntactic simplicity

This component reflects the degree to which the sentences in the text contain fewer words and use simpler, familiar syntactic structures, which are less challenging to process. At the opposite end of the continuum are texts that contain sentences with more words and use complex, unfamiliar syntactic structures.

4. Word concreteness

Texts that contain content words that are concrete, meaningful, and evoke mental images are easier to process and understand. Abstract words on the other end are more difficult to process.

5. Referential cohesion

A text with high referential cohesion contains words and ideas that overlap across sentences and the entire text, forming explicit threads that connect the text for the reader.

6. Deep cohesion

This component reflects the degree to which the text contains causal and intentional connectives when there are causal and logical relationships within the text. These connectives help the reader to form a more coherent and deeper understanding of the causal events, processes, and actions in the text. If the text is high in deep cohesion, then those relationships and global cohesion are more explicit.

7. Verb cohesion

This component reflects the degree to which there are overlap** verbs in the text. When there are repeated verbs, the text likely includes a more coherent event structure that will facilitate and enhance situation model understanding.

8. Connectivity

This component reflects the degree to which the text contains explicit adversative, additive, and comparative connectives to express relations in the text.

17.1.3 Appendix C

17.1.3.1 Many Facets Rasch Model Syntax

A text box displays twenty-five lines of code for Rasch model syntax.

17.1.4 Appendix D

17.1.4.1 R syntax for Hierarchical Regression Models

A text box depicts thirty-three lines of R syntax for hierarchical regression models.

17.1.5 Appendix E

17.1.5.1 R syntax for Linear Logistic Rasch Models

A text box contains forty-two lines of R syntax for linear Rasch models.

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Yuan, Y., Engelhard, G. (2023). Using Linear Logistic Rasch Models to Examine Cognitive Complexity and Linguistic Cohesion in Science Items. In: Liu, X., Boone, W.J. (eds) Advances in Applications of Rasch Measurement in Science Education. Contemporary Trends and Issues in Science Education, vol 57. Springer, Cham. https://doi.org/10.1007/978-3-031-28776-3_17

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  • DOI: https://doi.org/10.1007/978-3-031-28776-3_17

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