z分数

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--- z分数 [2024/03/16 16:03] – zwz
+++ z分数 [2024/03/19 02:25] (当前版本) – 李佳熠2
@@ 行 26: / 行 26: @@
 As these data are algebraically accessible, we can also invert the original score when the mean, standard deviation, and z-score of the original distribution are known.
-===== 二、z分数与标准分布 =====
+===== 二、z分数与标准分布（Z-score and standard distribution） =====
-z分数的另一个用处是将整个分布标准化。在总体或样本的均值和标准差都已知的情况下、我们变能将分布中的原始分数都转化为z分数。所得到的行分布就被称为z分数分布，也称标准分布（standardized distribution），并称此过程为标准化。z分数分布有三个特征：
+z分数的另一个用处是将整个分布标准化。在总体或样本的均值和标准差都已知的情况下、我们变能将分布中的原始分数都转化为z分数。所得到的新分布就被称为z分数分布，也称标准分布，并称此过程为标准化。z分数分布有三个特征：
-（1）z分数分布的形状和未转换前的与那时分布的形状完全相同
+The another usage of z-score is to standardize the whole distribution. Once the mean and standard deviation of sample or population are known, the original scores could be changed into z-score. The new distribution is called z-score distribution, or standardized distribution. This process is called standardize. Z-score distribution has 3 main features:
+（1）z分数分布的形状和未转换前的原始分布的形状完全相同。
+(1)The shape of z-score distribution is the same with the original one.
 （2）z分数分布的均值为0。
+(2)The mean of z-score distribution is 0.
 （3）z分数分布的标准差为1。
-===== 三、z分数的意义 =====
+(3)The standard variation of z-score distribution is 1.
+===== 三、z分数的意义（The significance of z-score） =====
 z分数不仅可以为我们提供分数在分布中的位置信息，而且可以使整个分布标准化，这样便于在不同的分布之间进行比较。z分数还可以代表概率，我们只要知道的z分数的区间，就可以计算出相应的落在这个区间的概率。其次，z分数还可以代表变量间的关系。不过如果总体为偏态分布，那么z分数只能帮我们比较不同总体内的分数相对均值的距离，而不再能确定分数的位置。
+Z-score not only provides the position information of the score, but also can standardize the whole distribution, making it easy to compare with different distributions. Z-score also represents possibility, once the interval of z-score is known, the possibility of scores in this interval could be calculated. Meanwhile, z-score can also represent the relationship between variables. But if the distribution is a skew distribution, z-score could only help to compare the distance to the mean of different scores, but no longer ascertain the position of scores.

z分数.1710604983.txt.gz · 最后更改: 2024/03/16 16:03 由 zwz