Proceedings of the 2015 International Conference on Management, Education, Information and Control

Simulation Method in Teaching Statistics— T Statistic as Example

Authors
Zhizhong Yang
Corresponding Author
Zhizhong Yang
Available Online June 2015.
DOI
10.2991/meici-15.2015.64How to use a DOI?
Keywords
Hypothesis Test; Simulation; Test; Interval Estimation; Statistics
Abstract

This paper takes the single-sample T statistics as an example to describe how to teach hypothesis test and interval estimation problems via simulation method. The simulated empirical sizes, empirical powers, empirical confidence level and average interval length of T statistic for different sample size under the normal distribution and t distribution are reported. These results can explain intuitively why one should assume the data and follow the normal distribution, what are type I and type II error probabilities, and what factors may influence them.

Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2015 International Conference on Management, Education, Information and Control
Series
Advances in Intelligent Systems Research
Publication Date
June 2015
ISBN
978-94-62520-85-1
ISSN
1951-6851
DOI
10.2991/meici-15.2015.64How to use a DOI?
Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Zhizhong Yang
PY  - 2015/06
DA  - 2015/06
TI  - Simulation Method in Teaching Statistics— T Statistic as Example
BT  - Proceedings of the 2015 International Conference on Management, Education, Information and Control
PB  - Atlantis Press
SP  - 351
EP  - 356
SN  - 1951-6851
UR  - https://doi.org/10.2991/meici-15.2015.64
DO  - 10.2991/meici-15.2015.64
ID  - Yang2015/06
ER  -