Research on Statistics in Large Sample Test

Yangjing Chong; Fangfang Guo; Wenyuan Sun

doi:doi:10.11648/j.ijsd.20170303.16

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Research on Statistics in Large Sample Test

Yangjing Chong, Fangfang Guo, Wenyuan Sun

Published in International Journal of Statistical Distributions and Applications (Volume 3, Issue 3)

Received: 16 March 2017 Accepted: 7 April 2017 Published: 31 October 2017

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Abstract

Assuming that the test is one of the main contents of the statistical inference, it is widely used, and almost all of the major fields use hypothesis test, a statistical idea, and in the process of hypothesis testing, we need to construct a reasonable test statistic. Therefore, based on the hypothesis test and the knowledge of the central limit theorem, we construct a new test statistic when the sample size is sufficiently large, This statistic makes the calculation of the original test problem easier. This paper verifies the rationality of this test statistic by an example.

Published in	International Journal of Statistical Distributions and Applications (Volume 3, Issue 3)
DOI	10.11648/j.ijsd.20170303.16
Page(s)	61-63
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Large Sample Test, Central Limit Theorem, Test Statistic

References

[1]	Wang Zhifu, Pan Xu, Jin Shu, Tian Feng, Wang Yan. Hypothesis test principle and its application [J]. Journal of Bohai University (Natural Science Edition), 2013, (02): 101-105.
[2]	Shi Ying. How to set hypothesis in parameter hypothesis test [J]. Journal of Mathematical Medicine, 2016, (12): 1886-1887.
[3]	Luo Ronghua, Wu Kun. A New Thinking of Hypothesis Testing [J]. Statistics & Decision, 2014, (08): 23-25.
[4]	Su Zaigxing, WANG Zhi-fu, WANG Jun, HAN Dan-dan. On the relationship between hypothesis testing null hypothesis and alternative hypothesis [J]. Journal of Information Science and Technology, 2010, (21): 643 + 926.
[5]	Mao Shisong, Cheng Yiming, Pu Xiaolong. Probability Theory and Mathematical Statistics Course Second Edition. Higher Education Press.
[6]	Huo Jian. A new method of large sample normality test [J]. Statistics and Decision, 2013, (19): 67-68.
[7]	Wei Zongshu. Probability Theory and Mathematical Statistics Tutorial [M]. Beijing: Higher Education Press, 2008.
[8]	Zhu Songtao, Song Zixing. Probability Theory and Mathematical Statistics Tutorial [M]. Jinan: Shandong University Press.
[9]	Ding Jian, Li Hongju. Application of central limit theorem in statistical inference [J]. Journal of Changchun Normal University, 2015, (02): 12-14.
[10]	Yang Gang. Study on the Determination of Rejected Domain in Parameter Hypothesis Test [J]. Journal of Changchun Institute of Technology (Natural Science Edition), 2012, (02): 126-128.
[11]	Li Mingquan. On the maximum likelihood estimation method teaching [J]. Journal of Mudanjiang University, 2010, (07): 116-118.

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APA Style

Yangjing Chong, Fangfang Guo, Wenyuan Sun. (2017). Research on Statistics in Large Sample Test. International Journal of Statistical Distributions and Applications, 3(3), 61-63. https://doi.org/10.11648/j.ijsd.20170303.16

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ACS Style

Yangjing Chong; Fangfang Guo; Wenyuan Sun. Research on Statistics in Large Sample Test. Int. J. Stat. Distrib. Appl. 2017, 3(3), 61-63. doi: 10.11648/j.ijsd.20170303.16

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AMA Style

Yangjing Chong, Fangfang Guo, Wenyuan Sun. Research on Statistics in Large Sample Test. Int J Stat Distrib Appl. 2017;3(3):61-63. doi: 10.11648/j.ijsd.20170303.16

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@article{10.11648/j.ijsd.20170303.16,
  author = {Yangjing Chong and Fangfang Guo and Wenyuan Sun},
  title = {Research on Statistics in Large Sample Test},
  journal = {International Journal of Statistical Distributions and Applications},
  volume = {3},
  number = {3},
  pages = {61-63},
  doi = {10.11648/j.ijsd.20170303.16},
  url = {https://doi.org/10.11648/j.ijsd.20170303.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijsd.20170303.16},
  abstract = {Assuming that the test is one of the main contents of the statistical inference, it is widely used, and almost all of the major fields use hypothesis test, a statistical idea, and in the process of hypothesis testing, we need to construct a reasonable test statistic. Therefore, based on the hypothesis test and the knowledge of the central limit theorem, we construct a new test statistic when the sample size is sufficiently large, This statistic makes the calculation of the original test problem easier. This paper verifies the rationality of this test statistic by an example.},
 year = {2017}
}

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TY  - JOUR
T1  - Research on Statistics in Large Sample Test
AU  - Yangjing Chong
AU  - Fangfang Guo
AU  - Wenyuan Sun
Y1  - 2017/10/31
PY  - 2017
N1  - https://doi.org/10.11648/j.ijsd.20170303.16
DO  - 10.11648/j.ijsd.20170303.16
T2  - International Journal of Statistical Distributions and Applications
JF  - International Journal of Statistical Distributions and Applications
JO  - International Journal of Statistical Distributions and Applications
SP  - 61
EP  - 63
PB  - Science Publishing Group
SN  - 2472-3509
UR  - https://doi.org/10.11648/j.ijsd.20170303.16
AB  - Assuming that the test is one of the main contents of the statistical inference, it is widely used, and almost all of the major fields use hypothesis test, a statistical idea, and in the process of hypothesis testing, we need to construct a reasonable test statistic. Therefore, based on the hypothesis test and the knowledge of the central limit theorem, we construct a new test statistic when the sample size is sufficiently large, This statistic makes the calculation of the original test problem easier. This paper verifies the rationality of this test statistic by an example.
VL  - 3
IS  - 3
ER  -

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Author Information

Yangjing Chong

Mathematics Department, Yanbian University, Yanji, P. R. China
Fangfang Guo

Mathematics Department, Yanbian University, Yanji, P. R. China
Wenyuan Sun

Mathematics Department, Yanbian University, Yanji, P. R. China

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APA Style

Yangjing Chong, Fangfang Guo, Wenyuan Sun. (2017). Research on Statistics in Large Sample Test. International Journal of Statistical Distributions and Applications, 3(3), 61-63. https://doi.org/10.11648/j.ijsd.20170303.16

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ACS Style

Yangjing Chong; Fangfang Guo; Wenyuan Sun. Research on Statistics in Large Sample Test. Int. J. Stat. Distrib. Appl. 2017, 3(3), 61-63. doi: 10.11648/j.ijsd.20170303.16

Copy | Download

AMA Style

Yangjing Chong, Fangfang Guo, Wenyuan Sun. Research on Statistics in Large Sample Test. Int J Stat Distrib Appl. 2017;3(3):61-63. doi: 10.11648/j.ijsd.20170303.16

Copy | Download

@article{10.11648/j.ijsd.20170303.16,
  author = {Yangjing Chong and Fangfang Guo and Wenyuan Sun},
  title = {Research on Statistics in Large Sample Test},
  journal = {International Journal of Statistical Distributions and Applications},
  volume = {3},
  number = {3},
  pages = {61-63},
  doi = {10.11648/j.ijsd.20170303.16},
  url = {https://doi.org/10.11648/j.ijsd.20170303.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijsd.20170303.16},
  abstract = {Assuming that the test is one of the main contents of the statistical inference, it is widely used, and almost all of the major fields use hypothesis test, a statistical idea, and in the process of hypothesis testing, we need to construct a reasonable test statistic. Therefore, based on the hypothesis test and the knowledge of the central limit theorem, we construct a new test statistic when the sample size is sufficiently large, This statistic makes the calculation of the original test problem easier. This paper verifies the rationality of this test statistic by an example.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Research on Statistics in Large Sample Test
AU  - Yangjing Chong
AU  - Fangfang Guo
AU  - Wenyuan Sun
Y1  - 2017/10/31
PY  - 2017
N1  - https://doi.org/10.11648/j.ijsd.20170303.16
DO  - 10.11648/j.ijsd.20170303.16
T2  - International Journal of Statistical Distributions and Applications
JF  - International Journal of Statistical Distributions and Applications
JO  - International Journal of Statistical Distributions and Applications
SP  - 61
EP  - 63
PB  - Science Publishing Group
SN  - 2472-3509
UR  - https://doi.org/10.11648/j.ijsd.20170303.16
AB  - Assuming that the test is one of the main contents of the statistical inference, it is widely used, and almost all of the major fields use hypothesis test, a statistical idea, and in the process of hypothesis testing, we need to construct a reasonable test statistic. Therefore, based on the hypothesis test and the knowledge of the central limit theorem, we construct a new test statistic when the sample size is sufficiently large, This statistic makes the calculation of the original test problem easier. This paper verifies the rationality of this test statistic by an example.
VL  - 3
IS  - 3
ER  -

Copy | Download