分析化学教材中t检验内容的探讨

doi:10.3866/PKU.DXHX202203069

Abstract

Abstract:

t test, a significant test in statistics, shows wide applicability, and plays essential roles in method validation, data evaluation, and quality control. For example, you can compare the mean of a data set with a known value to see if there is a bias in a method. For comparison of two data sets, you need to first make a distinction between unpaired data and paired data. However, in our analytical chemistry textbooks, only unpaired t test is briefly introduced. In contrast, through various examples, both paired t test and unpaired t test are comprehensively introduced in English analytical chemistry textbooks. It is suggested that more systematic statistical contents be integrated into our analytical chemistry teaching. It should be a beneficial attempt for more scientific textbook construction.

Key words: Paired t test, t test, Significant test, Data evaluation, Textbook construction

Jiawei Shen, Min Wang. Discussion on t Test in Analytical Chemistry Textbooks[J].University Chemistry, 2023, 38(5): 296-301.

Figures/Tables 3

References 8

1	Shen J. W. ; Li T. T. ; Wang M. ; Yao B. Sens. Actuators B Chem. 2022, 357, 131364.
2	武汉大学. 分析化学(上册), 第6版北京: 高等教育出版社, 2016, 17- 20.
3	罗旭. 化学统计学, 北京: 科学出版社, 2001, 前言- 111.
4	Harvey, D. Analytical Chemistry 2.0. Electronic Versions, 2009; pp. 107–114. [2022-01-14]. https://www.researchgate.net/publication/50927915_Analytical_Chemistry_20
5	张勤. 生物统计学, 第3版北京: 中国农业大学出版社, 2018, 57- 66.
6	Harris, D. C. Quantitative Chemical Analysis, 9th ed.; W. H. Freeman & Company: New York, NY, USA, 2016; pp. 75–77.
7	Christian, G. D.; Dasgupta, P. K.; Schug, K. A. Analytical Chemistry, 7th ed.; John Wiley & Sons, Inc. : Hoboken, NJ, USA, 2014; pp. 88–92.
8	沈明来. 生物检定统计法, 第2版台北: 九州图书文物有限公司, 2007, 48- 57.

标记产物#	由NanoDrop测得的DNA探针浓度^a/(μmol∙L⁻¹)	由ICP-MS测得的稀土元素浓度^b/(μmol∙L⁻¹)	差值d/(μmol∙L⁻¹)
1	16.8	16.2	0.6
2	16.0	15.7	0.3
3	9.7	9.3	0.4
4	9.6	9.8	−0.2
5	10.1	10.9	−0.8
6	10.5	10.1	0.4

序号	公式或计算式	文中位置
2-1	$ t = \frac{{\left\| {\bar x - \mu } \right\|}}{s}\sqrt n $	2.1.1
2-2	$ F = \frac{{s_1^2}}{{s_2^2}} $	2.1.2
2-3	$ {s}_{{\rm{合并}}}=\sqrt{\frac{\left({n}_{1}-1\right){s}_{1}^{2}+\left({n}_{2}-1\right){s}_{2}^{2}}{{n}_{1}+{n}_{2}-2}} $	2.1.2
2-4	$ t=\frac{\left\|{\overline{x}}_{1}-{\overline{x}}_{2}\right\|}{{s}_{{\rm{合并}}}}\sqrt{\frac{{n}_{1}{n}_{2}}{{n}_{1}+{n}_{2}}} $	2.1.2
2-5	$ \mu = \bar x \pm \frac{{ts}}{{\sqrt n }} $	2.1.2
2-6	$ t = \frac{{\left\| {{{\bar x}_1} - {{\bar x}_2}} \right\|}}{{\sqrt {\frac{{s_1^2}}{{{n_1}}} + \frac{{s_2^2}}{{{n_2}}}} }} $	2.1.2
2-7	$ f = \frac{{{{\left( {\frac{{s_1^2}}{{{n_1}}} + \frac{{s_2^2}}{{{n_2}}}} \right)}^2}}}{{\frac{{{{\left( {\frac{{s_1^2}}{{{n_1}}}} \right)}^2}}}{{{n_1} + 1}} + \frac{{{{\left( {\frac{{s_2^2}}{{{n_2}}}} \right)}^2}}}{{{n_2} + 2}}}} - 2 $	2.1.2
2-8	$ t = \frac{{\left\| {\bar d - 0} \right\|}}{{{s_d}}}\sqrt n = \frac{{\left\| {\bar d} \right\|}}{{{s_d}}}\sqrt n $	2.2
3-1	$ {s_d} = \sqrt {\frac{{\sum\limits_{i = 1}^n {{{\left( {{d_i} - \bar d} \right)}^2}} }}{{n - 1}}} = 0.523 $	3

[1]	Yan Zhang, Xiaoyan Cao, Yiming Li, Shuwei Xia, Mutai Bao. Comparison of Electrolyte Solutions Section in Physical Chemistry Textbooks at Home and Abroad [J]. University Chemistry, 2025, 40(9): 303-309.
[2]	Yongming Zhu, Huili Hu, Yuanchun Yu, Xudong Li, Peng Gao. Construction and Practice on New Form Stereoscopic Textbook of Electrochemistry for Energy Storage Science and Engineering: Taking Basic Course of Electrochemistry as an Example [J]. University Chemistry, 2024, 39(8): 44-47.
[3]	Shuyong Zhang, Wenhua Hou, Junji Liu, Xinping Wang, Jian Wan, Hong Yuan, Hongwei Sun, Jia Yao, Zhiyong Wang, Min Ji, Yupeng Guo. Comparison of Knowledge Framework and Teaching Contents of Typical Physical Chemistry Textbooks at Home and Abroad [J]. University Chemistry, 2023, 38(6): 115-123.
[4]	Jinyuan Li, Pengfei Liao, Xiaochen Xu, Xiujuan Lv, Shuang Han. History and Present Situation of the Construction of Foreign Chemistry Textbooks [J]. University Chemistry, 2023, 38(6): 27-35.
[5]	Ming Wen, Tong Wu, Shuo Shi, Xinhua Guo, Yun Chen, Qingsheng Wu. Textbook Construction of "General Chemistry" for Emerging Engineering Education [J]. University Chemistry, 2023, 38(6): 57-61.
[6]	Zhiyong Wang, Shuyong Zhang. Comparison of Electrochemistry Section in Representative Physical Chemistry Textbooks at Home and Abroad [J]. University Chemistry, 2023, 38(6): 142-145.
[7]	Hongwei Sun, Jian Wan. Comparison of Teaching Contents of Representative Structural Chemistry Textbooks at Home and Abroad [J]. University Chemistry, 2023, 38(6): 182-188.
[8]	Li Ding, Xiaoxia Zhao. The Historical Experience and Reflection on the Construction of Chemistry Core Course Textbooks in Science Press [J]. University Chemistry, 2023, 38(6): 15-20.
[9]	Zhiang Zhu. Review of the Construction of Physical Chemistry Textbooks in China and Experience of 40 Years of Textbook Construction [J]. University Chemistry, 2023, 38(6): 152-157.
[10]	Weiwei Pei. Historical Development and Experience of Construction for Organic Chemistry Textbooks by Peking University [J]. University Chemistry, 2023, 38(6): 94-98.
[11]	Jia Yao. Comparison of Thermodynamics Contents and Teaching Approaches in Typical Physical Chemistry Textbooks at Home and Abroad [J]. University Chemistry, 2023, 38(6): 146-151.
[12]	Wenhua Hou, Shuyong Zhang. An Introduction to Atkins' Physical Chemistry (11th Edition) [J]. University Chemistry, 2023, 38(6): 124-128.
[13]	Wenhua Hou, Shuyong Zhang. An Introduction to Two Classical English Physical Chemistry Textbooks Compiled by Levine, McQuarrie and Simon [J]. University Chemistry, 2023, 38(6): 129-133.
[14]	Yan Li, Linqing Song. Historical Experience and Future Focus of Textbook Construction by Chemical Industry Press [J]. University Chemistry, 2023, 38(6): 21-26.
[15]	Yaru Gao, Junlong Zhao. Exploration and Practice of Textbook Construction for Fundamental Organic Chemistry Course Featuring Modularization Style and Micro-Course Mode [J]. University Chemistry, 2023, 38(6): 104-109.

Discussion on t Test in Analytical Chemistry Textbooks

RichHTML

PDF

Like

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 3

References 8

Related Articles 15

Metrics

Recommended 0