分析化学教材中t检验内容的探讨
沈嘉玮, 王敏

Discussion on t Test in Analytical Chemistry Textbooks
Jiawei Shen, Min Wang
表2 本文中涉及的公式和计算式列表
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