The Graphs of the CDF, Power and Its Interpretation on Several Types of Binomial Probability Distribution

Budi Pratikno; Evita Luaria Wulandari; Jajang Jajang; Junita Sage Sianipar; Mashuri Mashuri

doi:10.2991/apr.k.220503.006

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The Graphs of the CDF, Power and Its Interpretation on Several Types of Binomial Probability Distribution

Authors

Budi Pratikno¹^{, *}, Evita Luaria Wulandari¹, Jajang Jajang¹, Junita Sage Sianipar¹, Mashuri Mashuri¹

¹Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Jenderal Soedirman, Purwokerto, Indonesia

^*Corresponding author. Email: budi.pratikno@unsoed.ac.id

Corresponding Author

Budi Pratikno

Available Online 25 May 2022.

DOI: 10.2991/apr.k.220503.006 How to use a DOI?
Keywords: Binomial distribution; the power function of hypothesis testing; R-code
Abstract: The research discussed the graphically analyzed of the cumulative distribution function (cdf), and the power function of hypothesis testing on the binomial distribution. In this research, we also showed (derived) the formula of the power function on special case of binomial such us Negative Binomial and the Geometric distribution. The result showed that the degree of freedom, bound of the rejection area, and parameter shape significantly affect to the curves of the power function. The curves of the power are sigmoid and they increase quickly to be one on the small parameter shape and large degree of freedom.
Copyright: © 2022 The Authors. Published by Atlantis Press International B.V.
Open Access: This is an open access article distributed under the CC BY-NC 4.0 license.

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Volume Title: Proceedings of the Soedirman International Conference on Mathematics and Applied Sciences (SICOMAS 2021)
Series: Advances in Physics Research
Publication Date: 25 May 2022
ISBN: 10.2991/apr.k.220503.006
ISSN: 2352-541X
DOI: 10.2991/apr.k.220503.006 How to use a DOI?
Open Access: This is an open access article distributed under the CC BY-NC 4.0 license.

Cite this article

ris enw bib

TY  - CONF
AU  - Budi Pratikno
AU  - Evita Luaria Wulandari
AU  - Jajang Jajang
AU  - Junita Sage Sianipar
AU  - Mashuri Mashuri
PY  - 2022
DA  - 2022/05/25
TI  - The Graphs of the CDF, Power and Its Interpretation on Several Types of Binomial Probability Distribution
BT  - Proceedings of the Soedirman International Conference on Mathematics and Applied Sciences (SICOMAS 2021)
PB  - Atlantis Press
SP  - 27
EP  - 30
SN  - 2352-541X
UR  - https://doi.org/10.2991/apr.k.220503.006
DO  - 10.2991/apr.k.220503.006
ID  - Pratikno2022
ER  -

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