T test as a parametric statistic.
T test as a parametric statistic.
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DOI：
10.4097/kjae.2015.68.6.540
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发表时间：
2015-12
影响因子：
2.9
通讯作者：
Kim TK
中科院分区：
文献类型：
--
作者：
Kim TK
在统计检验中，统计量的概率分布是很重要的。当样本从总体N（μ，σ2）中抽取，样本量为n时，样本均值X的分布应为正态分布N（μ，σ2/n）。在零假设µ = µ0下，统计量的分布应标准化为正态分布。当总体的方差未知时，可以用样本方差s2替换。在这种情况下，统计量遵循t分布（n-1个自由度）。独立组t检验可用于比较两个独立组之间的平均值，配对t检验用于配对数据。由于t检验是一种参数检验，样本应满足一定的前提条件，如正态性、方差齐性和独立性。
In statistic tests, the probability distribution of the statistics is important. When samples are drawn from population N (µ, σ2) with a sample size of n, the distribution of the sample mean X̄ should be a normal distribution N (µ, σ2/n). Under the null hypothesis µ = µ0, the distribution of statistics should be standardized as a normal distribution. When the variance of the population is not known, replacement with the sample variance s2 is possible. In this case, the statistics follows a t distribution (n-1 degrees of freedom). An independent-group t test can be carried out for a comparison of means between two independent groups, with a paired t test for paired data. As the t test is a parametric test, samples should meet certain preconditions, such as normality, equal variances and independence.