在R中,mean()和median()是标准函数,它们执行您所期望的功能。Mode()告诉您对象的内部存储模式,而不是参数中出现次数最多的值。但是是否存在一个标准库函数来实现向量(或列表)的统计模式?


当前回答

效果很好

> a<-c(1,1,2,2,3,3,4,4,5)
> names(table(a))[table(a)==max(table(a))]

其他回答

这个黑客应该工作良好。给你的值以及模式的计数:

Mode <- function(x){
a = table(x) # x is a vector
return(a[which.max(a)])
}

我发现Ken Williams上面的帖子很棒,我添加了几行来解释NA值,并使其成为一个函数。

Mode <- function(x, na.rm = FALSE) {
  if(na.rm){
    x = x[!is.na(x)]
  }

  ux <- unique(x)
  return(ux[which.max(tabulate(match(x, ux)))])
}

假设你的观测值是来自实数的类,当你的观测值是2,2,3,3时,你期望模态为2.5,然后你可以用mode = l1 + I * (f1-f0) / (2f1 -f0 - f2)来估计模态,其中l1..最频繁类的下限,f1..最频繁类的频率,f0..在最频繁类之前的类的频率,f2..在最频繁类之后的类的频率,i..分类间隔,如在1,2,3中给出:

#Small Example
x <- c(2,2,3,3) #Observations
i <- 1          #Class interval

z <- hist(x, breaks = seq(min(x)-1.5*i, max(x)+1.5*i, i), plot=F) #Calculate frequency of classes
mf <- which.max(z$counts)   #index of most frequent class
zc <- z$counts
z$breaks[mf] + i * (zc[mf] - zc[mf-1]) / (2*zc[mf] - zc[mf-1] - zc[mf+1])  #gives you the mode of 2.5


#Larger Example
set.seed(0)
i <- 5          #Class interval
x <- round(rnorm(100,mean=100,sd=10)/i)*i #Observations

z <- hist(x, breaks = seq(min(x)-1.5*i, max(x)+1.5*i, i), plot=F)
mf <- which.max(z$counts)
zc <- z$counts
z$breaks[mf] + i * (zc[mf] - zc[mf-1]) / (2*zc[mf] - zc[mf-1] - zc[mf+1])  #gives you the mode of 99.5

如果你想要最频繁的级别,并且你有多个最频繁的级别,你可以得到所有的级别,例如:

x <- c(2,2,3,5,5)
names(which(max(table(x))==table(x)))
#"2" "5"

下面的函数有三种形式:

method = "mode"[默认值]:计算单模态向量的模式,否则返回NA Method = "nmodes":计算vector中模式的个数 Method = "modes":列出单模态或多模态向量的所有模态

modeav <- function (x, method = "mode", na.rm = FALSE)
{
  x <- unlist(x)
  if (na.rm)
    x <- x[!is.na(x)]
  u <- unique(x)
  n <- length(u)
  #get frequencies of each of the unique values in the vector
  frequencies <- rep(0, n)
  for (i in seq_len(n)) {
    if (is.na(u[i])) {
      frequencies[i] <- sum(is.na(x))
    }
    else {
      frequencies[i] <- sum(x == u[i], na.rm = TRUE)
    }
  }
  #mode if a unimodal vector, else NA
  if (method == "mode" | is.na(method) | method == "")
  {return(ifelse(length(frequencies[frequencies==max(frequencies)])>1,NA,u[which.max(frequencies)]))}
  #number of modes
  if(method == "nmode" | method == "nmodes")
  {return(length(frequencies[frequencies==max(frequencies)]))}
  #list of all modes
  if (method == "modes" | method == "modevalues")
  {return(u[which(frequencies==max(frequencies), arr.ind = FALSE, useNames = FALSE)])}  
  #error trap the method
  warning("Warning: method not recognised.  Valid methods are 'mode' [default], 'nmodes' and 'modes'")
  return()
}

另一个可能的解决方案:

Mode <- function(x) {
    if (is.numeric(x)) {
        x_table <- table(x)
        return(as.numeric(names(x_table)[which.max(x_table)]))
    }
}

用法:

set.seed(100)
v <- sample(x = 1:100, size = 1000000, replace = TRUE)
system.time(Mode(v))

输出:

   user  system elapsed 
   0.32    0.00    0.31