Proceedings of the Soedirman International Conference on Mathematics and Applied Sciences (SICOMAS 2021)

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
https://doi.org/10.2991/apr.k.220503.006How 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
978-94-6239-579-4
ISSN
2352-541X
DOI
https://doi.org/10.2991/apr.k.220503.006How to use a DOI?
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.

Cite this article

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  - https://doi.org/10.2991/apr.k.220503.006
ID  - Pratikno2022
ER  -