ICMS 2014: Mathematical Software – ICMS 2014 pp 601-606 | Cite as
Development of Visual Aid Materials in Teaching the Bivariate Normal Distributions
Conference paper
Abstract
We have evaluated the orthant probabilities (i.e., all components are positive) and the upper probabilities of bivariate normal distributions by using Scilab software. The calculated values are presented here in a tabular form. They may be used as a teaching aid material in statistics courses at colleges. We have explained the orthant and upper probabilities using 3D diagrams as a visual aid teaching material in the present work. Moreover, we have evaluated probabilities for more generalized domains by using Scilab software.
Keywords
Scilab software orthant probability 2-dimensional normal distribution Gaussian function teaching statistical materialPreview
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References
- 1.Takato, S., Koshiba, T., Nomachi, T.: Evaluation for the tool and the element of the staistical materials (in Japanese), RIMS Kokyuroku (2013)Google Scholar
- 2.Toda, H., Ono, R.: Algolizm for the computing of two-dimensional normal distribution function (in Japanese). Japanese Journal of Aplied Statistics (1978)Google Scholar
- 3.Miwa, T., Hayter, A.J., Kuriki, S.: The evaluation of general non-centred orthant probabilities. Journal of the Royal Statistical Society (2003)Google Scholar
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© Springer-Verlag Berlin Heidelberg 2014