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单词 Student t distribution
释义

Student t distribution

中文百科

学生t-分布 Student's t-distribution

(重定向自Student t distribution)

在概率论和统计学中,学生t-分布(Student's t-distribution),可简称为t分布。应用在估计呈正态分布的母群体之平均数。它是对两个样本均值差异进行显着性测试的学生t检定的基础。学生t检定改进了Z检定(Z-test),因为Z检定以母体标准差已知为前提。虽然在样本数量大(超过30个)时,可以应用Z检定来求得近似值,但Z检定用在小样本会产生很大的误差,因此必须改用学生t检定以求准确。

在母体标准差未知的情况下,不论样本数量大或小皆可应用学生t检定。在待比较的数据有三组以上时,因为误差无法压低,此时可以用变异数分析(ANOVA)代替学生t检定。

英语百科

Student's t-distribution 学生t-分布

(重定向自Student t distribution)
Statistician William Sealy Gosset, known as
1 degree of freedom

In probability and statistics, Student's t-distribution (or simply the t-distribution) is any member of a family of continuous probability distributions that arises when estimating the mean of a normally distributed population in situations where the sample size is small and population standard deviation is unknown. It was developed by William Sealy Gosset under the pseudonym Student. Whereas a normal distribution describes a full population, t-distributions describe samples drawn from a full population; accordingly, the t-distribution for each sample size is different, and the larger the sample, the more the distribution resembles a normal distribution.

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更新时间:2025/6/20 20:41:48