Simulation Method in Teaching Statistics— T Statistic as Example

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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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  -