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For loop in a for loop?

I have two dataframes:

df1<- as.data.frame(matrix(1:15, ncol=5))
df2<- as.data.frame(matrix(30:44,ncol=5))

By using the two dataframes I want to calculate the zscore. The functions is:

z = (X - u)/ O

df1 contains all the X values, and each row of the df2 dataframe contains values to calculate the mean and the sd. I ge开发者_如何学Gonerate a loop that calculate for each value in the first column of df1 the z score. But now my question is: How can I calculate the z score for the whole dataframe?

test <- list()
for (i in 1:nrow(df1) {
  zscore<- (df1[i,1] - (apply(df2[i,],1,mean))) / (apply(df2[i,],1,sd))
  test[[i]] <- matrix(zscore)
  i <- 1+1
}

Thank you all!


[I think you have the row/cols backwards here. z-scores are usually applied to variables, which R would expect to be in columns. What I write below follows the usual convention. Change accordingly if you really want to standardise by rows.]

sweep() is your general purpose friend. We compute the means and standard deviations and then sweep (subtract in this case) them out of the data frame df1:

## compute column means and sd
mns <- colMeans(df2)     ## rowMeans if by rows
sds <- apply(df2, 2, sd) ## 2 -> 1 if by rows

## Subtract the respective mean from each column
df3 <- sweep(df1, 2, mns, "-")  ## 2 -> 1 if by rows
## Divide by the respective sd
df3 <- sweep(df3, 2, sds, "/")  ## 2 -> 1 if by rows

which gives:

R> df3
   V1  V2  V3  V4  V5
1 -30 -30 -30 -30 -30
2 -29 -29 -29 -29 -29
3 -28 -28 -28 -28 -28

We can check this has worked by doing the computations for the first column of df3 in a vectorised fashion:

R> (df1[,1] - mean(df2[,1])) / sd(df2[,1])
[1] -30 -29 -28

For this particular situation, one can also use the scale() function and supply your own center and scale, the respective means and standard deviations

R> scale(df1, center = mns, scale = sds)
      V1  V2  V3  V4  V5
[1,] -30 -30 -30 -30 -30
[2,] -29 -29 -29 -29 -29
[3,] -28 -28 -28 -28 -28
attr(,"scaled:center")
V1 V2 V3 V4 V5 
31 34 37 40 43 
attr(,"scaled:scale")
V1 V2 V3 V4 V5 
 1  1  1  1  1
0

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