spss中介效应检验步骤spss中介效应检验步骤结果分析ootstrap（spss中介效应检验步骤结果分析）

懿说学区（6） | SPSS统计分析（15）单样本T检验

Yishuo school district (6) | SPSS statistical analysis (15) single sample t-test

spss中介效应检验步骤spss中介效应检验步骤结果分析ootstrap（spss中介效应检验步骤结果分析）

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前面我们提到了如何设置一个假设检验的题目，这次我们来学习一下如何验证我们的假设。首先，我们来学习什么是单样本t检验。

Previously, we mentioned how to set up a hypothesis test. This time, let's learn how to test our hypothesis. First, let's learn what is single sample test.

单样本T检验是利用来自某样本的样本数据，推断该总体的均值与指定的检验值之间是否存在显著性差异，它是对总体均值的假设检验。为此，给出假设检验μ0，原假设：μ=μ0，其中μ为总体均值，即认为总体均值与检验值μ0之间无显著性差异。

Single sample t-test is to use the sample data from a sample to infer whether there is a significant difference between the mean of the population and the specified test value. It is a hypothesis test of the mean of the population. Therefore, hypothesis test is given μ 0, original assumption: μ=μ 0, where μ Is the overall mean, that is, the overall mean and the test value μ There is no significant difference between 0.

例如，从新生入学成绩的抽样数据中推断平均成绩是否为75分；在人口普查中，某地区职工今年的平均收入是否和往年的平均收入有显著差异。

For example, infer whether the average score is 75 points from the sampling data of Freshmen's admission scores; In the census, whether the average income of employees in a certain area this year is significantly different from that in previous years.

单样本T检验涉及的是单个总体，并采用T检验的方法，因此称为单样本T检验。

单样本T检验的前提是样本来自的总体应服从或近似服从正态分布，如果总体不是来自正态分布或不清楚总体的分布情况，则不能采用单样本T检验。

单样本T检验的前提是总体服从正态分布N(μ,σ2)，其中μ为总体均值，σ2为总体方差。如果样本容量为n，样本均值为X0，则X0仍服从正态分布，即X0~N(μ，σ2)。

Single sample t-test refers to a single population and adopts the method of t-test, so it is called single sample t-test.

The premise of the single sample t-test is that the population from which the sample comes should obey or approximately obey the normal distribution. If the population does not come from the normal distribution or the distribution of the population is unclear, the single sample t-test cannot be used.

The premise of single sample t-test is that the population obeys normal distribution n（ μ,σ 2) , where μ Is the overall average, σ 2 is the overall variance. If the sample size is n and the sample mean is x0, then x0 still obeys the normal distribution, that is, x0~n（ μ，σ 2)。

在原假设成立的条件下，均值检验使用t统计量，构造的t统计量：

Under the condition that the original hypothesis is true, the mean test uses T statistics, and the constructed T statistics are:

式中，μ用μ0代入，t统计量服从自由度为n-1的T分布，S为样本标准差。

Where, μ use μ 0, the t statistic obeys the t distribution with the degree of freedom of n-1, and S is the standard deviation of the sample.

在给定原假设的前提下，SPSS将检验值μ0代入t统计量，得到检验统计量观测值，以及根据T分布的分布函数计算出的概率P值。

Given the original hypothesis, SPSS will test the value μ 0 is substituted into the t statistic to obtain the observed value of the test statistic and the probability p value calculated according to the distribution function of the t distribution.

下期预告：下一节，我们将会讲述

如何使用SPSS软件

具体操作一个

单样本T检验案例。

In the next section, we will talk about how to use SPSS software to operate a single sample t-test case.

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That's all for today's sharing. If you have unique ideas about today's article, please leave us a message. Let's meet tomorrow. I wish you a happy day today!

参考资料：百度百科，《SPSS 23统计分析实用教程》

翻译：百度翻译

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