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Moods Median Calculator

Free online moods median calculator. Enter your values and get instant results with the formula, step-by-step working, a worked example and FAQs — everything runs locally in your browser on Calcton, no signup required.

中文版:Mood 中位数检验在线计算器

Moods Median Calculator
各组数据(组之间用分号 ; 分隔,每组至少 2 个数)

原理:Mood 中位数检验把所有组的数据合并求出共同中位数,再统计每组里「高于中位数」与「低于中位数」的个数,构成 2×k 列联表,用卡方独立性检验判断各组是否围绕同一中心分布。它只利用与中位数的相对位置,几乎不受极端值影响,是位置差异检验中稳健性最高的一档。

步骤:① 按组输入数据,组间用分号分隔;② 点击计算;③ 读出合并中位数、2×k 表计数与 p 值,p 小于显著性水平时认为各组中心位置不全相同。

示例:两组 (1, 2, 3, 8, 9) 与 (4, 5, 6, 7, 10) 合并中位数为 5.5,高于/低于计数为 (2, 3) 与 (3, 2),χ² = 0.4、p = 0.527089256866;三组 (1, 2, 3)、(4, 5, 6)、(7, 8, 9) 时 χ² = 6、p = 0.049787068368。

注意事项:恰好等于合并中位数的观测被剔除(不计入列联表),剔除后若某组剩余不足 2 个或整表过稀,结果不可靠;它检验的是「各组是否以同一中位数为中心」,对分布形状差异不敏感;功效低于 Mann-Whitney U,通常在重尾、离群值明显或只需要中位数结论时选用;三组以上显著时同样需要事后两两比较。

相关:Mann-Whitney U 检验计算器功效更高的两样本位置检验;Kruskal-Wallis 检验计算器的多组非参数版本;卡方检验计算器解释 2×k 表卡方统计量的分布背景。

How to use the Moods Median Calculator

  1. Fill in the inputs with your own numbers — every field shows what it expects.
  2. The result updates instantly as you type; no "Calculate" click needed.
  3. Read the result card for the main figure, the step-by-step formula, and practical notes.

Frequently asked questions

Is the Moods Median Calculator free?

Yes — all math calculators on Calcton are free, with no sign-up required. Your inputs are processed in your browser and never sent to a server.

Is there a Chinese version of this tool?

Yes. Use the Chinese version link above — it is the same calculator with the interface in Simplified Chinese.

References

Formulas and benchmarks used by this calculator follow these published sources.

  1. dlmf.nist.gov
  2. mathworld.wolfram.com
Kevin's profile

KevinContent LeadCalcton Editorial Team · Last updated 2026-10-07

Kevin maintains Calcton's formula verification and content: every calculator cites the standard it implements, worked examples are recomputed programmatically, and health benchmarks follow WHO and international guidelines.

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