Most frequent value (mode) by group [duplicate] - r

This question already has answers here:
Create a variable capturing the most frequent occurence by group
(3 answers)
How to find the statistical mode?
(35 answers)
Closed 5 years ago.
I am trying to find the most frequent value by group. In the following example dataframe:
df<-data.frame(a=c(1,1,1,1,2,2,2,3,3),b=c(2,2,1,2,3,3,1,1,2))
> df
a b
1 1 2
2 1 2
3 1 1
4 1 2
5 2 3
6 2 3
7 2 1
8 3 1
9 3 2
I would like to add a column 'c' which has the most occurring value in 'b' when its values are grouped by 'a'. I would like the following output:
> df
a b c
1 1 2 2
2 1 2 2
3 1 1 2
4 1 2 2
5 2 3 3
6 2 3 3
7 2 1 3
8 3 1 1
9 3 2 1
I tried using table and tapply but didn't get it right. Is there a fast way to do that?
Thanks!

Building on Davids comments your solution is the following:
Mode <- function(x) {
ux <- unique(x)
ux[which.max(tabulate(match(x, ux)))]
}
library(dplyr)
df %>% group_by(a) %>% mutate(c=Mode(b))
Notice though that for the tie when df$a is 3 then the mode for b is 1.

We could get the 'Mode' of 'b' grouped by 'a' using ave
Mode <- function(x) {
ux <- unique(x)
ux[which.max(tabulate(match(x, ux)))]
}
df$c <- with(df, ave(b, a, FUN=Mode))
df$c
#[1] 2 2 2 2 3 3 3 1 1
Or using data.table
library(data.table)
setDT(df)[, c:= Mode(b), by=a][]

Here is a base R method that uses table to calculate a cross tab, max.col to find the mode per group, and rep together with rle to fill in the mode across groups.
# calculate a cross tab, frequencies by group
myTab <- table(df$a, df$b)
# repeat the mode for each group, as calculated by colnames(myTab)[max.col(myTab)]
# repeating by the number of times the group ID is observed
df$c <- rep(colnames(myTab)[max.col(myTab)], rle(df$a)$length)
df
a b c
1 1 2 2
2 1 2 2
3 1 1 2
4 1 2 2
5 2 3 3
6 2 3 3
7 2 1 3
8 3 1 2
9 3 2 2
Note that this assumes the data has been sorted by group. Also, the default of max.col is to break ties (mulitple modes) at random. If you want the first or last value to be the mode, you can set this using the ties.method argument.

Related

Filter ids with having count > 1 in data.table [duplicate]

This question already has answers here:
Select groups based on number of unique / distinct values
(4 answers)
Closed last month.
I would like to subset my data frame to keep only groups that have 3 or more observations on DIFFERENT days. I want to get rid of groups that have less than 3 observations, or the observations they have are not from 3 different days.
Here is a sample data set:
Group Day
1 1
1 3
1 5
1 5
2 2
2 2
2 4
2 4
3 1
3 2
3 3
4 1
4 5
So for the above example, group 1 and group 3 will be kept and group 2 and 4 will be removed from the data frame.
I hope this makes sense, I imagine the solution will be quite simple but I can't work it out (I'm quite new to R and not very fast at coming up with solutions to things like this). I thought maybe the diff function could come in handy but didn't get much further.
With data.table you could do:
library(data.table)
DT[, if(uniqueN(Day) >= 3) .SD, by = Group]
which gives:
Group Day
1: 1 1
2: 1 3
3: 1 5
4: 1 5
5: 3 1
6: 3 2
7: 3 3
Or with dplyr:
library(dplyr)
DT %>%
group_by(Group) %>%
filter(n_distinct(Day) >= 3)
which gives the same result.
One idea using dplyr
library(dplyr)
df %>%
group_by(Group) %>%
filter(length(unique(Day)) >= 3)
#Source: local data frame [7 x 2]
#Groups: Group [2]
# Group Day
# (int) (int)
#1 1 1
#2 1 3
#3 1 5
#4 1 5
#5 3 1
#6 3 2
#7 3 3
We can use base R
i1 <- rowSums(table(df1)!=0)>=3
subset(df1, Group %in% names(i1)[i1])
# Group Day
#1 1 1
#2 1 3
#3 1 5
#4 1 5
#9 3 1
#10 3 2
#11 3 3
Or a one-liner base R would be
df1[with(df1, as.logical(ave(Day, Group, FUN = function(x) length(unique(x)) >=3))),]

Percolation clustering

Consider the following groupings:
> data.frame(x = c(3:5,7:9,12:14), grp = c(1,1,1,2,2,2,3,3,3))
x grp
1 3 1
2 4 1
3 5 1
4 7 2
5 8 2
6 9 2
7 12 3
8 13 3
9 14 3
Let's say I don't know the grp values but only have a vector x. What is the easiest way to generate grp values, essentially an id field of groups of values within a threshold from from each other? Is this a percolation algorithm?
One option would be to compare the next with the current value and check if the difference is greater than 1, and get the cumulative sum.
df1$grp <- cumsum(c(TRUE, diff(df1$x) > 1))
df1$grp
#[1] 1 1 1 2 2 2 3 3 3
EDIT: From #geotheory's comments.

Create a rolling index of pairs over groups

I need to create (with R) a rolling index of pairs from a data set that includes groups. Consider the following data set:
times <- c(4,3,2)
V1 <- unlist(lapply(times, function(x) seq(1, x)))
df <- data.frame(group = rep(1:length(times), times = times),
V1 = V1,
rolling_index = c(1,1,2,2,3,3,4,5,5))
df
group V1 rolling_index
1 1 1 1
2 1 2 1
3 1 3 2
4 1 4 2
5 2 1 3
6 2 2 3
7 2 3 4
8 3 1 5
9 3 2 5
The data frame I have includes the variables group and V1. Within each group V1 designates a running index (that may or may not start at 1).
I want to create a new indexing variable that looks like rolling_index. This variable groups rows within the same group and consecutive V1 value, thus creating a new rolling index. This new index must be consecutive over groups. If there is an uneven amount of rows within a group (e.g. group 2), then the last, single row gets its own rolling index value.
You can try
library(data.table)
setDT(df)[, gr:=as.numeric(gl(.N, 2, .N)), group][,
rollindex:=cumsum(c(TRUE,abs(diff(gr))>0))][,gr:= NULL]
# group V1 rolling_index rollindex
#1: 1 1 1 1
#2: 1 2 1 1
#3: 1 3 2 2
#4: 1 4 2 2
#5: 2 1 3 3
#6: 2 2 3 3
#7: 2 3 4 4
#8: 3 1 5 5
#9: 3 2 5 5
Or using base R
indx1 <- !duplicated(df$group)
indx2 <- with(df, ave(group, group, FUN=function(x)
gl(length(x), 2, length(x))))
cumsum(c(TRUE,diff(indx2)>0)|indx1)
#[1] 1 1 2 2 3 3 4 5 5
Update
The above methods are based on the 'group' column. Suppose you already have a sequence column ('V1') by group as showed in the example, creation of rolling index is easier
cumsum(!!df$V1 %%2)
#[1] 1 1 2 2 3 3 4 5 5
As mentioned in the post, if the 'V1' column do not start at '1' for some groups, we can get the sequence from the 'group' and then do the cumsum as above
cumsum(!!with(df, ave(seq_along(group), group, FUN=seq_along))%%2)
#[1] 1 1 2 2 3 3 4 5 5
There is probably a simpler way but you can do:
rep_each <- unlist(mapply(function(q,r) {c(rep(2, q),rep(1, r))},
q=table(df$group)%/%2,
r=table(df$group)%%2))
df$rolling_index <- inverse.rle(x=list(lengths=rep_each, values=seq(rep_each)))
df$rolling_index
#[1] 1 1 2 2 3 3 4 5 5

Select max or equal value from several columns in a data frame

I'm trying to select the column with the highest value for each row in a data.frame. So for instance, the data is set up as such.
> df <- data.frame(one = c(0:6), two = c(6:0))
> df
one two
1 0 6
2 1 5
3 2 4
4 3 3
5 4 2
6 5 1
7 6 0
Then I'd like to set another column based on those rows. The data frame would look like this.
> df
one two rank
1 0 6 2
2 1 5 2
3 2 4 2
4 3 3 3
5 4 2 1
6 5 1 1
7 6 0 1
I imagine there is some sort of way that I can use plyr or sapply here but it's eluding me at the moment.
There might be a more efficient solution, but
ranks <- apply(df, 1, which.max)
ranks[which(df[, 1] == df[, 2])] <- 3
edit: properly spaced!

Calculating the occurrences of numbers in the subsets of a data.frame

I have a data frame in R which is similar to the follows. Actually my real ’df’ dataframe is much bigger than this one here but I really do not want to confuse anybody so that is why I try to simplify things as much as possible.
So here’s the data frame.
id <-c(1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3)
a <-c(3,1,3,3,1,3,3,3,3,1,3,2,1,2,1,3,3,2,1,1,1,3,1,3,3,3,2,1,1,3)
b <-c(3,2,1,1,1,1,1,1,1,1,1,2,1,3,2,1,1,1,2,1,3,1,2,2,1,3,3,2,3,2)
c <-c(1,3,2,3,2,1,2,3,3,2,2,3,1,2,3,3,3,1,1,2,3,3,1,2,2,3,2,2,3,2)
d <-c(3,3,3,1,3,2,2,1,2,3,2,2,2,1,3,1,2,2,3,2,3,2,3,2,1,1,1,1,1,2)
e <-c(2,3,1,2,1,2,3,3,1,1,2,1,1,3,3,2,1,1,3,3,2,2,3,3,3,2,3,2,1,3)
df <-data.frame(id,a,b,c,d,e)
df
Basically what I would like to do is to get the occurrences of numbers for each column (a,b,c,d,e) and for each id group (1,2,3) (for this latter grouping see my column ’id’).
So, for column ’a’ and for id number ’1’ (for the latter see column ’id’) the code would be something like this:
as.numeric(table(df[1:10,2]))
##The results are:
[1] 3 7
Just to briefly explain my results: in column ’a’ (and regarding only those records which have number ’1’ in column ’id’) we can say that number '1' occured 3 times and number '3' occured 7 times.
Again, just to show you another example. For column ’a’ and for id number ’2’ (for the latter grouping see again column ’id’):
as.numeric(table(df[11:20,2]))
##After running the codes the results are:
[1] 4 3 3
Let me explain a little again: in column ’a’ and regarding only those observations which have number ’2’ in column ’id’) we can say that number '1' occured 4 times, number '2' occured 3 times and number '3' occured 3 times.
So this is what I would like to do. Calculating the occurrences of numbers for each custom-defined subsets (and then collecting these values into a data frame). I know it is not a difficult task but the PROBLEM is that I’m gonna have to change the input ’df’ dataframe on a regular basis and hence both the overall number of rows and columns might change over time…
What I have done so far is that I have separated the ’df’ dataframe by columns, like this:
for (z in (2:ncol(df))) assign(paste("df",z,sep="."),df[,z])
So df.2 will refer to df$a, df.3 will equal df$b, df.4 will equal df$c etc. But I’m really stuck now and I don’t know how to move forward…
Is there a proper, ”automatic” way to solve this problem?
How about -
> library(reshape)
> dftab <- table(melt(df,'id'))
> dftab
, , value = 1
variable
id a b c d e
1 3 8 2 2 4
2 4 6 3 2 4
3 4 2 1 5 1
, , value = 2
variable
id a b c d e
1 0 1 4 3 3
2 3 3 3 6 2
3 1 4 5 3 4
, , value = 3
variable
id a b c d e
1 7 1 4 5 3
2 3 1 4 2 4
3 5 4 4 2 5
So to get the number of '3's in column 'a' and group '1'
you could just do
> dftab[3,'a',1]
[1] 4
A combination of tapply and apply can create the data you want:
tapply(df$id,df$id,function(x) apply(df[id==x,-1],2,table))
However, when a grouping doesn't have all the elements in it, as in 1a, the result will be a list for that id group rather than a nice table (matrix).
$`1`
$`1`$a
1 3
3 7
$`1`$b
1 2 3
8 1 1
$`1`$c
1 2 3
2 4 4
$`1`$d
1 2 3
2 3 5
$`1`$e
1 2 3
4 3 3
$`2`
a b c d e
1 4 6 3 2 4
2 3 3 3 6 2
3 3 1 4 2 4
$`3`
a b c d e
1 4 2 1 5 1
2 1 4 5 3 4
3 5 4 4 2 5
I'm sure someone will have a more elegant solution than this, but you can cobble it together with a simple function and dlply from the plyr package.
ColTables <- function(df) {
counts <- list()
for(a in names(df)[names(df) != "id"]) {
counts[[a]] <- table(df[a])
}
return(counts)
}
results <- dlply(df, "id", ColTables)
This gets you back a list - the first "layer" of the list will be the id variable; the second the table results for each column for that id variable. For example:
> results[['2']]['a']
$a
1 2 3
4 3 3
For id variable = 2, column = a, per your above example.
A way to do it is using the aggregate function, but you have to add a column to your dataframe
> df$freq <- 0
> aggregate(freq~a+id,df,length)
a id freq
1 1 1 3
2 3 1 7
3 1 2 4
4 2 2 3
5 3 2 3
6 1 3 4
7 2 3 1
8 3 3 5
Of course you can write a function to do it, so it's easier to do it frequently, and you don't have to add a column to your actual data frame
> frequency <- function(df,groups) {
+ relevant <- df[,groups]
+ relevant$freq <- 0
+ aggregate(freq~.,relevant,length)
+ }
> frequency(df,c("b","id"))
b id freq
1 1 1 8
2 2 1 1
3 3 1 1
4 1 2 6
5 2 2 3
6 3 2 1
7 1 3 2
8 2 3 4
9 3 3 4
You didn't say how you'd like the data. The by function might give you the output you like.
by(df, df$id, function(x) lapply(x[,-1], table))

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