Abstract
Mathematical statistical methods have been frequently appeared in practical implementations of intelligent systems and as a tool for processing research data. In favor of these applications or for purposes of a reduction of a computational complexity, modifications of established approaches can be advantageous. In this paper, a statistical approach to practical providing hypotheses testing with two categorical variables is simplified. This presented proposal can be appropriate for purposes of unfulfilling necessary input conditions of Chi-squared test instead a more complex Fisher’s exact test. The proposed approach can be concretely an alternative to this Fisher’s exact test and brings a simplification of considered problem. The presented recommendation is demonstrated on a practical example of a statistical research; especially, in case of a concrete statistical quantitative research with pedagogical aspects. In this utilization, two categorical variables are considered, both with two items, corresponding to a case of four-field contingency table.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Teo, T.: Handbook of Quantitative Methods for Educational Research. Sense Publishers (2013). ISBN 978-946209404-8. https://doi.org/10.1007/978-94-6209-404-8
Lech, P., Wlodarski, P.: Analysis of the IoT WiFi mesh network. In: 6th Computer Science On-line Conference: Cybernetics and Mathematics Applications in Intelligent Systems, pp. 272–280. Springer (2017). ISBN 978-3-319-57263-5. https://doi.org/10.1007/978-3-319-57264-2_28
Kularbphettong, K.: Analysis of students’ behavior based on educational data mining. In: 1st Conference on Computational Methods in Systems and Software: Applied Computational Intelligence and Mathematical Methods, pp. 167–172. Springer (2017). ISBN 978-331967620-3. https://doi.org/10.1007/978-3-319-67621-0_15
Achuthan, K., Murali, S.S.: Virtual lab: an adequate multi-modality learning channel for enhancing students’ perception in chemistry. In: 6th Computer Science On-line Conference: Cybernetics and Mathematics Applications in Intelligent Systems, pp. 419–433. Springer (2017). ISBN 978-3-319-57263-5. https://doi.org/10.1007/978-3-319-57264-2_42
Meghanathan, N.: Correlation Analysis of decay centrality. In: 6th Computer Science On-line Conference: Cybernetics and Mathematics Applications in Intelligent Systems, pp. 407–418. Springer (2017). ISBN 978-3-319-57263-5. https://doi.org/10.1007/978-3-319-57264-2_41
Sulovska, K., Belaskova, S., Adamek, M.: Gait patterns for crime fighting: statistical evaluation. In: Proceedings of SPIE - The International Society for Optical Engineering, vol. 8901. SPIE (2013). ISBN 978-081949770-3. https://doi.org/10.1117/12.2033323
Agrawal, M., Arvind, V.: Perspectives in Computational Complexity. Springer, Berlin (2014). https://doi.org/10.1007/978-3-319-05446-9. ISBN 978-3-319-05445-2
Cortes, J., Casals, M., Langohr, M., et al.: Importance of statistical power and hypothesis in P value. Med. Cl. 146(4), 178–181 (2016). ISSN 0025-7753. https://doi.org/10.1016/j.medcle.2016.04.057
Krpec, R.: The factors influencing the education value-added models. In: 9th Annual International Conference of Education, Research and Innovation: ICERI Proceedings, pp. 3600–3608. IATED Academy (2016). ISBN 978-84-617-5895-1. https://doi.org/10.21125/iceri.2016.1852
Zemanova, R.: Geometry taught in 1st to 5th year of study of primary schools in Czech Republic—comparison of educational content in selected primary schools. In: 10th Annual International Conference of Education, Research and Innovation: ICERI Proceedings, pp. 694–698. IATED Academy (2017). ISBN 978-84-697-6957-7. https://doi.org/10.21125/iceri.2017.0263
Barot, T.: Complemented adaptive control strategy with application in pedagogical cybernetics. In: 7th Computer Science On-line Conference: Cybernetics and Algorithms in Intelligent Systems. Advances in Intelligent Systems and Computing, vol. 765, pp. 53–62. Springer (2018). ISBN 978-3-319-91191-5. https://doi.org/10.1007/978-3-319-91192-2_6
Schoftner, T., Traxler, P., Prieschl, W., Atzwanger, M.: E-learning introduction for students of the first semester in the form of an online seminar. In: Pre-conference Workshop of the 14th E-learning Conference for Computer Science, pp. 125–129. CEUR-WS (2016). ISSN 1613-0073
Horsley, M., Sikorova, Z.: Classroom teaching and learning resources: international comparisons from TIMSS—a preliminary review. Orbis Scholae. 8(2), 43–60 (2017). ISSN 1802-4637. https://doi.org/10.14712/23363177.2015.65
Andres, A.M., Quevedo, M.S., Garcia, J.T., Silva-Mato, A.: On the validity condition of the chi-squared test in 2 × 2 tables. Test 14(1), 99–128 (2005). ISSN 1133-0686. https://doi.org/10.1007/bf02595399
Camilli, G.: The relationship between Fisher’s exact test and Pearson’s chi-square test: a bayesian perspective. Psychometrika 60(2), 305–312 (1995). ISSN 0033-3123. https://doi.org/10.1007/bf02301418
Rasch, D., Kubinger, K.D., Moder, K.: The two-sample t test: pre-testing its assumptions does not pay off. Stat. Pap. 52(1), 219–231 (2011). ISSN 1613-9798. https://doi.org/10.1007/s00362-009-0224-x
Mewhort, D.J.K.: A comparison of the randomization test with the F test when error is skewed. Behav. Res. Methods 37(3), 426–435 (2005). ISSN 1554-3528. https://doi.org/10.3758/bf03192711
Fischer, D., Oja, H.: Mann-Whitney type tests for microarray experiments: the R package gMWT. J. Stat. Softw. 65(1), 1–19 (2015). ISSN 1548-7660. https://doi.org/10.18637/jss.v065.i09
Alizadeh Noughabi, H.: Two powerful tests for normality. Ann. Data Sci. 3(2), 225–234 (2016). ISSN 2198-5812. https://doi.org/10.1007/s40745-016-0083-y
Hammer, O., Harper, D.A.T., Ryan, P. D.: PAST: paleontological statistics software package for education and data analysis. Palaeontol. Electron. 4(1) (2001). http://palaeo-electronica.org/2001_1/past/issue1_01.htm
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Barot, T., Krpec, R. (2019). Alternative Approach to Fisher’s Exact Test with Application in Pedagogical Research. In: Silhavy, R., Silhavy, P., Prokopova, Z. (eds) Computational and Statistical Methods in Intelligent Systems. CoMeSySo 2018. Advances in Intelligent Systems and Computing, vol 859. Springer, Cham. https://doi.org/10.1007/978-3-030-00211-4_6
Download citation
DOI: https://doi.org/10.1007/978-3-030-00211-4_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-00210-7
Online ISBN: 978-3-030-00211-4
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)