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--- compare [2024/03/11 08:57] – limesty
+++ compare [2024/03/11 12:57] (当前版本) – limesty
@@ 行 1: / 行 1: @@
-====== 三种差异量数的比较 ( The differences of three measures of variability ) ======
+====== 三种差异量数的比较 (The differences of three measures of variability) ======
-.极端分数：全距受影响最大，四分位距受影响最小。
+. 极端分数：全距受影响最大，四分位距受影响最小。\\
-  * There are extreme scores in the data set: the full range is the most affected, and the quartile is the least affected.
+There are extreme scores in the data set: the full range is the most affected, and the quartile is the least affected.
-.样本大小：全距可能随n增加而增加，四分位距和标准差不会。
+. 样本大小：全距可能随n增加而增加，四分位距和标准差不会。\\
-  * Change the sample size: the full distance may increase with the increase of n, but the quartile distance and standard deviation will not.
+Change the sample size: the full distance may increase with the increase of n, but the quartile distance and standard deviation will not.
-.样本选取：同一总体多次选取不同样本，全距没有稳定的值，但四分位距和标准差是稳定的。
+. 样本选取：同一总体多次选取不同样本，全距没有稳定的值，但四分位距和标准差是稳定的。\\
-  * Select different samples: the same population selects different samples many times, the full distance has no stable value, but the quartile distance and standard deviation are stable.
+Select different samples: the same population selects different samples many times, the full distance has no stable value, but the quartile distance and standard deviation are stable.
-.当存在不确定值的分布时，全距和标准差无法求得，四分位距可求。
+. 当存在不确定值的分布时，全距和标准差无法求得，四分位距可求。\\
-  * When there is a distribution of uncertain values, the full distance and standard deviation can not be obtained, and the quartile distance can be obtained.
+When there is a distribution of uncertain values, the full distance and standard deviation can not be obtained, and the quartile distance can be obtained.
-====== 差异量数的优缺点 ======
+====== 差异量数的优缺点 (Pros and cons of measures of variability) ======
-^              ^   优点        ^    缺点      ^
+^  ^  优点 (Pros)  ^  缺点 (Cons)  ^
-|  全距         |1.计算便捷|1.样本稳定性差 \\ 2.受极端数值的影响 \\ 3.可能与样本量有关|
+|  全距 (Range)  | 1. 计算便捷  | 1. 样本稳定性差 \\ 2. 受极端数值的影响 \\ 3. 可能与样本量有关  |
-|  四分差       |1.不易受极端分数的影响 \\ 2.适用于有不确定值的数据|1.在一定程度上样本稳定性差|
+|  四分差 (Interquartile range)  | 1. 不易受极端分数的影响 \\ 2. 适用于有不确定值的数据  | 1. 在一定程度上样本稳定性差  |
-|  标准差       |1.样本稳定性好 \\ 2.包含最多的信息|1.受极端数值的影响|
+|  标准差 (Standard deviation)  | 1. 样本稳定性好 \\ 2.包含最多的信息  | 1.受极端数值的影响  |
+^  ^  Pros  ^  Cons  ^
+|  Range  | 1. Easy to Calculate  | 1. Poor sample stability \\ 2. Influenced by extreme values \\ 3. Possibly related to sample size  |
+|  Interquartile range  | 1. Less susceptible to extreme values \\ 2. Suitable for data with uncertain values  | 1. Poor sample stability to some extent  |
+|  Standard deviation  | 1. Good sample stability \\ 2. Contains the most information  | 1. Influenced by extreme values  |