compare
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三种差异量数的比较 ( The differences of three measures of variability )
1.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.
2.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.
3.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.
4.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.
差异量数的优缺点
优点 | 缺点 | |
---|---|---|
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 |
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 |
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 |
compare.1710147468.txt.gz · 最后更改: 2024/03/11 08:57 由 limesty