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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 345))

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Abstract

The well-known Ordering Theory (OT) does not consider the non-independence property of ordered items. For improving this drawback, the Item Relational Structure Theory (IRST) and Liu’s Ordering Theory (LOT) were proposed. Although IRST is more sensitive than LOT and OT, the IRST does not satisfy Liu’s consistency property of ordering relationship as LOT. In this chapter, for overcoming the abovementioned drawback by mathematical analysis, an improved item relational structure theory (IIRST) was proposed, it satisfies item ordering consistency property, and it is more sensitive than LOT and OT.

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References

  1. Airasian, P.W., Bart, W.M.: Ordering theory: a new and useful measurement model. J. Educ. Technol. 5, 56–60 (1973)

    Google Scholar 

  2. Bart, W.M., Krus, D.J.: An ordering theoretic method to determine hierarchies among Items. Educ. Psychol. Meas. 33, 291–300 (1973)

    Article  Google Scholar 

  3. Takeya, M.: Construction and utilization of item relational structure graphs for use in test analysis. J. Educ. Technol. 5, 93–103 (1980)

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  4. Liu, H.-C.: Ideal Item Ordering Matrix and Liu’s Ordering Theory. New Item Response Theories. Asia University, Tokyo (2012)

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  5. Liu, H.-C.: Liu’s improved polytomous ordering theory based on extensional item ordering consistency theorem. In: International Conference on Information Management 2014, Taichung, Taiwan (2014)

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  6. Liu, H.-C., Shia, B.-C., & Cheng, D.-Y.: An improved Liu’s ordering theory based on empirical distributive critical value. In: The 27th International Conference on Industrial, Engineering & Other Applications of Applied Intelligent Systems, Kaohsiung, Taiwan (2014)

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Acknowledgments

This work was supported in part by the National Science Council, Republic of China, under Grant NSC 100-2511-S-468-001.

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Correspondence to Jing-Ming Ju .

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Liu, HC., Ju, JM. (2016). Improved Item Relational Structure Theory Based on Liu’s Item Ordering Consistency Property. In: Juang, J. (eds) Proceedings of the 3rd International Conference on Intelligent Technologies and Engineering Systems (ICITES2014). Lecture Notes in Electrical Engineering, vol 345. Springer, Cham. https://doi.org/10.1007/978-3-319-17314-6_45

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  • DOI: https://doi.org/10.1007/978-3-319-17314-6_45

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-17313-9

  • Online ISBN: 978-3-319-17314-6

  • eBook Packages: EngineeringEngineering (R0)

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