| Gao Fei,Liu Yuanyuan,Li Changping,Hu Liangping,How to use t test correctly——the basic concepts and preconditions of t test[J].SICHUAN MENTAL HEALTH,2020,33(3):211-216 |
| How to use t test correctly——the basic concepts and preconditions of t test |
DOI：10.11886/scjsws20200526003 |
| English keywords:Small sample t distribution t test Hypothesis testing Parameter test Interval estimation |
| Fund projects:国家自然科学基金项目（项目名称：贝叶斯生存分析方法在肝细胞癌肝移植患者预后预测中的应用研究，项目编号：81803333） |
| Author Name | Affiliation | Postcode | | Gao Fei | Tianjin International Joint Research and Development Centre of Ophthalmology and Vision Science, Tianjin 300384, China
Eye Institute and School of Optometry, Tianjin Medical University Eye Hospital, Tianjin 300384, China | 300384 | | Liu Yuanyuan | Department of Health Statistics, School of Public Health, Tianjin Medical University, Tianjin 300070, China | 300070 | | Li Changping | Department of Health Statistics, School of Public Health, Tianjin Medical University, Tianjin 300070, China
Specialty Committee of Clinical Scientific Research Statistics of World Federation of Chinese Medicine Societies, Beijing 100029, China | 100029 | | Hu Liangping | Specialty Committee of Clinical Scientific Research Statistics of World Federation of Chinese Medicine Societies, Beijing 100029, China
Graduate School, Academy of Military Sciences PLA China, Beijing 100850, China. | 100850 |
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| English abstract: |
| The purpose of this paper was to comprehensively introduce the concept of t test and the prerequisites for using (involving experimental design and t-distribution). The applicable occasions of t distribution and t test included: ① Estimate the reference range of quantitative indicators when certain conditions were met. ② Calculation of the tolerance interval of individual dependent variable Y in linear regression analysis. ③ Confidence interval estimation for the population mean of quantitative indicators. ④ Hypothesis testing of certain parameters in linear correlation and regression analysis (including multiple linear regression analysis). ⑤ Hypothesis testing of the mean of quantitative data, at this time, strictly speaking, the t test was only applicable to three experimental designs, single group design, paired design and group design. In practical application, the type of experimental design and parameter test conditions for quantitative data should be correctly distinguished and checked. If it belonged to other situations (please see the aforementioned multiple occasions), it should generally be based on the corresponding statistical theory (that is, it can be proved that the statistics involved in the problem follows the t distribution), otherwise it might be an abuse or misuse. |
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