Abstract
In the previous contribution, a guarantee of normality property was proved in case of applied pedagogical research. However, an analysis of this confirmed behaviour can be interestingly identified in case of a research with a large scale sample of data. Therefore, an extended analysis is provided in this paper. According to added of reliability indicators, this analysis is performed on dynamical changed population of the whole file of data with random principle of selection of sub-parts of this file for purposes of their analysis. With regards to this variable sample size, the guarantee of the normality and corresponding conclusions about testing considered hypotheses are discussed in this paper with aim to confirm assumed independences of the normality on the sample size.
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References
Stockemer, D.: Quantitative Methods for the Social Sciences. Springer, Heidelberg (2019). https://doi.org/10.1007/978-3-319-99118-4
Alizadeh Noughabi, H.: Two powerful tests for normality. Ann. Data Sci. 3(2), 225–234 (2016). https://doi.org/10.1007/s40745-016-0083-y. ISSN 2198-5812
Kitchenham, B., Madeyski, L., Budgen, D., et al.: Robust statistical methods for empirical software engineering. Empir. Softw. Eng. 22, 1–52 (2016). https://doi.org/10.1007/s10664-016-9437-5. ISSN 1573-7616
Vaclavik, M., Sikorova, Z., Barot, T.: Particular analysis of normality of data in applied quantitative research. In: Computational and Statistical Methods in Intelligent Systems. Advances in Intelligent Systems and Computing, vol. 859, pp. 353−365. Springer (2019). https://doi.org/10.1007/978-3-030-00211-4_31. ISBN 978-3-030-00210-7
Zacks, S.: Introduction to Reliability Analysis: Probability Models and Statistical Methods. Springer, Heidelberg (1992)
IBM Knowledge Center: Reliability Analysis. https://www.ibm.com/support/knowledgecenter/el/SSLVMB_23.0.0/spss/base/idh_reli.html
Kostolanyova, K.: Adaptation of personalized education in e-learning environment. In: 1st International Symposium on Emerging Technologies for Education, pp. 433−442. Springer (2017). https://doi.org/10.1007/978-3-319-52836-6_46. ISBN 978-3-319-52835-9
Schoftner, T., Traxler, P., Prieschl, W., et al.: 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
Simbartl, P., Honzikova, J.: Using demonstration to design creative products focused on folk traditions. In: 8th International Conference on Education and New Learning Technologies, pp. 2832−2837. IATED (2016). https://doi.org/10.21125/edulearn.2016.1613
Krammer, G., Vogl, H., Linhofer, S., et al.: Learning opportunities provided by erasmus as mobility programme in teacher education. In: Holz, O. (ed.) Current Trends in Higher Education in Europe, pp. 279−288. Lit Veralg (2016). ISBN 978-3643134196
Vicherkova, D.: Communication strategy in the area of readership of 15-year-old pupils in the Moravian-Silesian Region. Grant J. 7(1), 107–111 (2018). ISSN 1805-0638
Barot, T.: Possibilities of process modeling in pedagogical cybernetics based on control-system-theory approaches. In: Cybernetics and Mathematics Applications in Intelligent Systems. Advances in Intelligent Systems and Computing, vol. 574, pp. 110−119. Springer (2017). https://doi.org/10.1007/978-3-319-57264-2_11. ISBN 978-3-319-57263-5
Vaclavik, M., Sikorova, Z., Barot, T.: Approach of process modeling applied in particular pedagogical research. In: Cybernetics and Automation Control Theory Methods in Intelligent Algorithms. In: Advances in Intelligent Systems and Computing, vol. 986, pp. 97−106. Springer (2019). https://doi.org/10.1007/978-3-030-19813-8_11. ISBN 978-3-030-19812-1
Barot, T.: Adaptive control strategy in context with pedagogical cybernetics. Int. J. Inf. Commun. Technol. Educ. 6(2), 5–11 (2017). ISSN 1805-3726
Sikorova, Z., Barot, T., Vaclavik, M., Cervenkova, I.: Czech university students’ use of study resources in relation to the approaches to learning. New Educ. Rev. Adam Marszalek Publishing House (Article in Press)
Hammer, O., Harper, D.A.T., Ryan, P.D.: PAST: paleontological statistics software package for education and data analysis. Palaeontologia Electronica. 4(1), 9 (2001). http://palaeo-electronica.org/2001_1/past/issue1_01.htm
Fischer, D., Oja, H.: Mann-Whitney type tests for microarray experiments: the R package gMWT. J. Stat. Softw. 65(1), 1–19 (2015). https://doi.org/10.18637/jss.v065.i09. ISSN 1548-7660
Lazic, S.E.: Why we should use simpler models if the data allow this: relevance for ANOVA designs in experimental biology. BMC Physiol. 8(18), 16 (2008). https://doi.org/10.1186/1472-6793-8-16. ISSN 1472-6793
Rasch, D.: The two-sample t test: pre-testing its assumptions does not pay off. Stat. Pap. 52(1), 219–231 (2011). https://doi.org/10.1007/s00362-009-0224-x. ISSN 1613-9798
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). https://doi.org/10.1117/12.2033323. ISBN 978-081949770-3
Pivarc, J.: Ideas of Czech primary school pupils about intellectual disability. Educ. Stud. Taylor & Francis (2018, in press). https://doi.org/10.1080/03055698.2018.1509784. ISSN 0305-5698
Gruzenkin, V.D., Mikhalev, A.S., Grishina, G.V., et al.: Using blockchain technology to improve N-version software dependability. In: Computational and Statistical Methods in Intelligent Systems. Advances in Intelligent Systems and Computing, vol. 859, pp. 132−137. Springer (2019). https://doi.org/10.1007/978-3-030-00211-4_14. ISBN 978-3-030-00210-7
Petlak, E., Tistanova, K., Juszczyk, S.: Undesirable behaviour of pupils towards teachers in Slovak schools. New Educ. Rev. 55(1), 170–184 (2019). https://doi.org/10.15804/tner.2019.55.1.14. ISSN 1732-6729
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Vaclavik, M., Sikorova, Z., Cervenkova, I. (2019). Analysis of Independences of Normality on Sample Size with Regards to Reliability. In: Silhavy, R., Silhavy, P., Prokopova, Z. (eds) Computational Statistics and Mathematical Modeling Methods in Intelligent Systems. CoMeSySo 2019 2019. Advances in Intelligent Systems and Computing, vol 1047. Springer, Cham. https://doi.org/10.1007/978-3-030-31362-3_29
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