percentile-english
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- | ====== | + | ====== Percentile, percentile rank and interpolation ====== |
- | ===== 百分位数、百分位等级 (Percentile and percentile rank) ===== | + | ===== Percentile and percentile rank ===== |
- | ====百分位数 (Percentile) ==== | + | ==== Percentile ==== |
- | 恰取这一值的分数称为这一百分位等级的百分位数。\\ | ||
The score that takes exactly this value is called the percentile of this percentile rank. | The score that takes exactly this value is called the percentile of this percentile rank. | ||
- | ==== 百分位等级 (Percentile rank) ==== | + | ==== Percentile rank ==== |
- | 某一分布中, | ||
In a distribution, | In a distribution, | ||
- | ==== 例子 (Example) ==== | + | ==== Example ==== |
- | 有 58% 的同学分数为 7 分或在 7 分下,则分数 X=7 的百分位等级为 58% ,这个分数就是第 58 个百分位数。\\ | ||
If 58% of the students have a score of 7 or below, the percentile rank of X=7 is 58% , so the X=7 is the 58th percentile. | If 58% of the students have a score of 7 or below, the percentile rank of X=7 is 58% , so the X=7 is the 58th percentile. | ||
- | ==== 注意事项 (Notes) ==== | + | ==== Notes ==== |
- | 在某一个案例中,分数有 1 - 5 分,对于分数 4 , 算得其对应的累积百分比是 95% ;但注意,分数 4 意味着一个人得分在 3.5 和 4.5 之间,第 95 百分位数是 4.5 ,而不是 4.0 。\\ | ||
In one case, the score is 1 - 5 , and for a score of 4 , the corresponding cumulative percentage is 95% ; but note that a score of 4 means that a person scores between 3.5 and 4.5 , and the 95th percentile is 4.5 , not 4.0 . | In one case, the score is 1 - 5 , and for a score of 4 , the corresponding cumulative percentage is 95% ; but note that a score of 4 means that a person scores between 3.5 and 4.5 , and the 95th percentile is 4.5 , not 4.0 . | ||
---- | ---- | ||
- | ===== 插值法 (Interpolation) ===== | + | ===== Interpolation ===== |
- | 插值法是一种求解两个数值之间某位置数值的方法,其假设是在所求解点的附近1个组距单位区间之内的分数和对应的百分比的变化是线性的。\\ | ||
Interpolation is a method to calculate the value of a certain number between two numbers. The hypothesis of interpolation is that, the change in scores and percentages within a unit interval of 1 group distance around the solved point is linear. | Interpolation is a method to calculate the value of a certain number between two numbers. The hypothesis of interpolation is that, the change in scores and percentages within a unit interval of 1 group distance around the solved point is linear. | ||
- | ==== 插值法步骤 (The steps of interpolation) ==== | + | ==== The steps of interpolation ==== |
- | 假设要求的数值如图所示:\\ | ||
Suppose the value to be solved is shown as follows: | Suppose the value to be solved is shown as follows: | ||
{{ : | {{ : | ||
- | 1. 找到距求解点最近的两个区间(较远的区间不满足分数和对应的百分比线性变化的假设)。\\ | + | 1. Find the 2 nearest intervals to the value to be solves (Further intervals do not requires the hypothesis of scores and percentages changing linearly). |
- | Find the 2 nearest intervals to the value to be solves (Further intervals do not requires the hypothesis of scores and percentages changing linearly). | + | |
- | 2. 根据数据列出方程:\\ | + | 2. Make an equation based on the data: |
- | Make an equation based on the data: | + | |
{{ : | {{ : | ||
- | 3. 由等式求得结果 {{: | + | 3. Calculate the equation, and get the result of {{: |
- | Calculate the equation, and get the result of {{: | + |
percentile-english.1710212090.txt.gz · 最后更改: 2024/03/12 02:54 由 limesty