要一个数字列表
val numbers = Seq(0.0817381355303346, 0.08907955219917718, 0.10581384008994665, 0.10970915785902469, 0.1530743353025532, 0.16728932033107657, 0.181932212814931, 0.23200826752868853, 0.2339654613723784, 0.2581657775305527, 0.3481071101229365, 0.5010850992326521, 0.6153244818101578, 0.6233250409474894, 0.6797744231690304, 0.6923891392381571, 0.7440316016776881, 0.7593186414698002, 0.8028091068764153, 0.8780699052482807, 0.8966649331194205)
python/pandas
计算以下百分位数:
25% 0.167289
50% 0.348107
75% 0.692389
但是,scala返回:
calcPercentiles(Seq(.25, .5, .75), sortedNumber.toArray)
25% 0.1601818278168149
50% 0.3481071101229365
75% 0.7182103704579226
这些数字几乎是一致的,但不同。我如何才能消除这种差异(并且很可能修复scala代码中的错误)
val sortedNumber = numbers.sorted
import scala.collection.mutable
case class PercentileResult(percentile:Double, value:Double)
// https://github.com/scalanlp/breeze/blob/master/math/src/main/scala/breeze/stats/DescriptiveStats.scala#L537
def calculatePercentile(arr: Array[Double], p: Double)={
// +1 so that the .5 == mean for even number of elements.
val f = (arr.length + 1) * p
val i = f.toInt
if (i == 0) arr.head
else if (i >= arr.length) arr.last
else {
arr(i - 1) + (f - i) * (arr(i) - arr(i - 1))
}
}
def calcPercentiles(percentiles:Seq[Double], arr: Array[Double]):Array[PercentileResult] = {
val results = new mutable.ListBuffer[PercentileResult]
percentiles.foreach(p => {
val r = PercentileResult(percentile = p, value = calculatePercentile(arr, p))
results.append(r)
})
results.toArray
}
python:
import pandas as pd
df = pd.DataFrame({'foo':[0.0817381355303346, 0.08907955219917718, 0.10581384008994665, 0.10970915785902469, 0.1530743353025532, 0.16728932033107657, 0.181932212814931, 0.23200826752868853, 0.2339654613723784, 0.2581657775305527, 0.3481071101229365, 0.5010850992326521, 0.6153244818101578, 0.6233250409474894, 0.6797744231690304, 0.6923891392381571, 0.7440316016776881, 0.7593186414698002, 0.8028091068764153, 0.8780699052482807, 0.8966649331194205]})
display(df.head())
df.describe()
经过一点尝试和错误后,我编写了这段代码,返回与Panda相同的结果(默认情况下使用线性插值):
由此我可以说错误就在这里:
0的百分位数应为0,100%的百分位数应为最大指数
所以对于
numbers
(.size == 21
),这将是指数0
和20
。然而,对于100%,您将得到22的索引值-比数组的大小大!如果没有这些保护条款:你会犯错误,你可能会怀疑出了什么问题。或许代码的作者:
使用了不同的百分比定义。。。(?)或者他们可能只是有一个bug。我不知道
顺便说一句:这是:
这样写会容易得多:
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