📊 单因素方差分析（ANOVA）计算器One-Way ANOVA Calculator
每行输入一组数据，计算单因素方差分析表：组间/组内平方和、自由度、均方、F 值、P 值和 η²，并给出各组均值与标准差。Run a one-way ANOVA with one group per line: get the full table — between/within sums of squares, degrees of freedom, mean squares, F, the p-value and η² — plus each group's mean and standard deviation.
使用说明与常见问题How-to & FAQ
「单因素方差分析（ANOVA）计算器」是什么？What is the One-Way ANOVA Calculator tool?
每行输入一组数据，计算单因素方差分析表：组间/组内平方和、自由度、均方、F 值、P 值和 η²，并给出各组均值与标准差。Run a one-way ANOVA with one group per line: get the full table — between/within sums of squares, degrees of freedom, mean squares, F, the p-value and η² — plus each group's mean and standard deviation.
如何使用「单因素方差分析（ANOVA）计算器」？How do I use the One-Way ANOVA Calculator tool?
在「单因素方差分析（ANOVA）计算器」中，填写「显著性水平 α」等参数，结果会随输入实时计算并显示在下方。In the One-Way ANOVA Calculator: Fill in "Significance level α"; results are recalculated instantly as you type.
单因素方差分析检验什么？What does one-way ANOVA test?
检验三个或更多（也可两个）独立组的总体均值是否全部相等。原假设：所有组均值相等；P 值小于 α 时认为至少有一组不同。Whether the population means of two or more independent groups are all equal. The null hypothesis is that they are; a p-value below α suggests at least one differs.
公式是什么？What are the formulas?
SSB = Σ nᵢ(x̄ᵢ − x̄)²，SSW = ΣΣ (x − x̄ᵢ)²；MSB = SSB/(k−1)，MSW = SSW/(N−k)，F = MSB/MSW，P 值来自 F(k−1, N−k) 分布右尾；η² = SSB/SST。SSB = Σ nᵢ(x̄ᵢ − x̄)², SSW = ΣΣ (x − x̄ᵢ)²; MSB = SSB/(k−1), MSW = SSW/(N−k), F = MSB/MSW with the p-value from the right tail of F(k−1, N−k); η² = SSB/SST.
前提条件？What are the assumptions?
各组独立、近似正态、方差大致相等。若方差差异大，可考虑 Welch ANOVA；显著后可用 Tukey HSD 做两两比较。Independent groups, roughly normal data and similar variances. With unequal variances consider Welch's ANOVA; after a significant result use Tukey's HSD for pairwise comparisons.
计算精度如何？How precise are the results?
「单因素方差分析（ANOVA）计算器」使用 JavaScript 双精度浮点数（约 15–16 位有效数字）；极大或极小的数值可能存在精度误差。The One-Way ANOVA Calculator uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.
「单因素方差分析（ANOVA）计算器」免费吗？需要注册吗？Is the One-Way ANOVA Calculator free? Do I need an account?
「单因素方差分析（ANOVA）计算器」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The One-Way ANOVA Calculator is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.