Related
I have a few years of dataset and I am try to look at duration of events within the dataset. For example, I would like to know the duration of "Strong wind events". I can do this by:
wind.df <- data.frame(ws = c(6,7,8,9,1,7,6,1,2,3,4,10,4,1,2))
r <- rle(wind.df$ws>=6)
sequence <- unlist(sapply(r$lengths, seq))
wind.df$strong.wind.duration <- sequence
BUT, if the wind speed goes below a threshold for only two datapoints, I want to keep counting. If the wind speed is below a threshold for more than two, then I want to reset the counter.
So the output would look like:
## manually creating a desired output ###
wind.df$desired.output <- c(1,2,3,4,5,6,7,1,2,3,4,5,6,7,8)
You can do this with a customized function that loops over your wind speeds and counts the consecutive numbers above a threshold:
numerate = function(nv, threshold = 6){
counter = 1
clist = c()
low=TRUE
for(i in 1:(length(nv))){
if(max(nv[i:(i+2)],na.rm=T)<threshold & !low){ ## Reset the counter
counter = 1
low = T
}
if(nv[i]>=threshold){low=FALSE}
clist=c(clist,counter)
counter=counter+1
}
return(clist)
}
wind.df <- data.frame(ws = c(6,7,8,9,1,7,6,1,2,3,4,10,4,1,2))
wind.df$desired.output = numerate(wind.df$ws)
The output of this function would be:
> print(wind.df)
ws desired.output
1 6 1
2 7 2
3 8 3
4 9 4
5 1 5
6 7 6
7 6 7
8 1 1
9 2 2
10 3 3
11 4 4
12 10 5
13 4 1
14 1 2
15 2 3
The desired output you wrote in your question is wrong, as the last three element of the wind speed are 4, 1, 2. That's more than two values below 6 after there was a value above 6. So, the counter has to be reset.
I have the following data frame:
data <- data.frame("Group" = c(1,1,1,1,1,1,1,1,2,2,2,2),
"Days" = c(1,2,3,4,5,6,7,8,1,2,3,4), "Num" = c(10,12,23,30,34,40,50,60,2,4,8,12))
I need to take the last value in Num and divide it by all of the preceding values. Then, I need to move to the second to the last value in Num and do the same, until I reach the first value in each group.
Edited based on the comments below:
In plain language and showing all the math, starting with the first group as suggested below, I am trying to achieve the following:
Take 60 (last value in group 1) and:
Day Num Res
7 60/50 1.2
6 60/40 1.5
5 60/34 1.76
4 60/30 2
3 60/23 2.60
2 60/12 5
1 60/10 6
Then keep only the row that has the value 2, as I don't care about the others (I want the value that is greater or equal to 2 that is the closest to 2) and return the day of that value, which is 4, as well. Then, move on to 50 and do the following:
Day Num Res
6 50/40 1.25
5 50/34 1.47
4 50/30 1.67
3 50/23 2.17
2 50/12 4.17
1 50/10 5
Then keep only the row that has the value 2.17 and return the day of that value, which is 3, as well. Then, move on to 40 and do the same thing over again, move on to 34, then 30, then 23, then 12, the last value (or Day 1 value) I don't care about. Then move on to the next group's last value (12) and repeat the same approach for that group (12/8, 12/4, 12/2; 8/4, 8/2; 4/2)
I would like to store the results of these divisions but only the most recent result that is greater than or equal to 2. I would also like to return the day that result was achieved. Basically, I am trying to calculate doubling time for each day. I would also need this to be grouped by the Group. Normally, I would use dplyr for this but I am not sure how to link up a loop with dyplr to take advantage of group_by. Also, I could be overlooking lapply or some variation thereof. My expected dataframe with the results would ideally be this:
data2 <- data.frame(divres = c(NA,NA,2.3,2.5,2.833333333,3.333333333,2.173913043,2,NA,2,2,3),
obs_n =c(NA,NA,1,2,2,2,3,4,NA,1,2,2))
data3 <- bind_cols(data, data2)
I have tried this first loop to calculate the division but I am lost as to how to move on to the next last value within each group. Right now, this is ignoring the group, though I obviously have not told it to group as I am unclear as to how to do this outside of dplyr.
for(i in 1:nrow(data))
data$test[i] <- ifelse(!is.na(data$Num), last(data$Num)/data$Num[i] , NA)
I also get the following error when I run it:
number of items to replace is not a multiple of replacement length
To store the division, I have tried this:
division <- function(x){
if(x>=2){
return(x)
} else {
return(FALSE)
}
}
for (i in 1:nrow(data)){
data$test[i]<- division(data$test[i])
}
Now, this approach works but only if i need to run this once on the last observation and only if I apply it to 1 group. I have 209 groups and many days that I would need to run this over. I am not sure how to put together the first for loop with the division function and I also am totally lost as to how to do this by group and move to the next last values. Any suggestions would be appreciated.
You can modify your division function to handle vector and return a dataframe with two columns divres and ind the latter is the row index that will be used to calculate obs_n as shown below:
division <- function(x){
lenx <- length(x)
y <- vector(mode="numeric", length = lenx)
z <- vector(mode="numeric", length = lenx)
for (i in lenx:1){
y[i] <- ifelse(length(which(x[i]/x[1:i]>=2))==0,NA,x[i]/x[1:i] [max(which(x[i]/x[1:i]>=2))])
z[i] <- ifelse(is.na(y[i]),NA,max(which(x[i]/x[1:i]>=2)))
}
df <- data.frame(divres = y, ind = z)
return(df)
}
Check the output of division function created above using data$Num as input
> division(data$Num)
divres ind
1 NA NA
2 NA NA
3 2.300000 1
4 2.500000 2
5 2.833333 2
6 3.333333 2
7 2.173913 3
8 2.000000 4
9 NA NA
10 2.000000 9
11 2.000000 10
12 3.000000 10
Use cbind to combine the above output with dataframe data1, use pipes and mutate from dplyr to lookup the obs_n value in Day using ind, select appropriate columns to generate the desired dataframe data2:
data2 <- cbind.data.frame(data, division(data$Num)) %>% mutate(obs_n = Days[ind]) %>% select(-ind)
Output
> data2
Group Days Num divres obs_n
1 1 1 10 NA NA
2 1 2 12 NA NA
3 1 3 23 2.300000 1
4 1 4 30 2.500000 2
5 1 5 34 2.833333 2
6 1 6 40 3.333333 2
7 1 7 50 2.173913 3
8 1 8 60 2.000000 4
9 2 1 2 NA NA
10 2 2 4 2.000000 1
11 2 3 8 2.000000 2
12 2 4 12 3.000000 2
You can create a function with a for loop to get the desired day as given below. Then use that to get the divres in a dplyr mutation.
obs_n <- function(x, days) {
lst <- list()
for(i in length(x):1){
obs <- days[which(rev(x[i]/x[(i-1):1]) >= 2)]
if(length(obs)==0)
lst[[i]] <- NA
else
lst[[i]] <- max(obs)
}
unlist(lst)
}
Then use dense_rank to obtain the row number corresponding to each obs_n. This is needed in case the days are not consecutive, i.e. have gaps.
library(dplyr)
data %>%
group_by(Group) %>%
mutate(obs_n=obs_n(Num, Days), divres=Num/Num[dense_rank(obs_n)])
# A tibble: 12 x 5
# Groups: Group [2]
Group Days Num obs_n divres
<dbl> <dbl> <dbl> <dbl> <dbl>
1 1 1 10 NA NA
2 1 2 12 NA NA
3 1 3 23 1 2.3
4 1 4 30 2 2.5
5 1 5 34 2 2.83
6 1 6 40 2 3.33
7 1 7 50 3 2.17
8 1 8 60 4 2
9 2 1 2 NA NA
10 2 2 4 1 2
11 2 3 8 2 2
12 2 4 12 2 3
Explanation of dense ranks (from Wikipedia).
In dense ranking, items that compare equally receive the same ranking number, and the next item(s) receive the immediately following ranking number.
x <- c(NA, NA, 1,2,2,4,6)
dplyr::dense_rank(x)
# [1] NA, NA, 1 2 2 3 4
Compare with rank (default method="average"). Note that NAs are included at the end by default.
rank(x)
[1] 6.0 7.0 1.0 2.5 2.5 4.0 5.0
Given a data.frame:
df <- data.frame(grp1 = c(1,1,1,2,2,2,3,3,3,4,4,4),
grp2 = c(1,2,3,3,4,5,6,7,8,6,9,10))
#> df
# grp1 grp2
#1 1 1
#2 1 2
#3 1 3
#4 2 3
#5 2 4
#6 2 5
#7 3 6
#8 3 7
#9 3 8
#10 4 6
#11 4 9
#12 4 10
Both coluns are grouping variables, such that all 1's in column grp1 are known to be grouped together, and so on with all 2's, etc. Then the same goes for grp2. All 1's are known to be the same, all 2's the same.
Thus, if we look at the 3rd and 4th row, based on column 1 we know that the first 3 rows can be grouped together and the second 3 rows can be grouped together. Then since rows 3 and 4 share the same grp2 value, we know that all 6 rows, in fact, can be grouped together.
Based off the same logic we can see that the last six rows can also be grouped together (since rows 7 and 10 share the same grp2).
Aside from writing a fairly involved set of for() loops, is there a more straight forward approach to this? I haven't been able to think one one yet.
The final output that I'm hoping to obtain would look something like:
# > df
# grp1 grp2 combinedGrp
# 1 1 1 1
# 2 1 2 1
# 3 1 3 1
# 4 2 3 1
# 5 2 4 1
# 6 2 5 1
# 7 3 6 2
# 8 3 7 2
# 9 3 8 2
# 10 4 6 2
# 11 4 9 2
# 12 4 10 2
Thank you for any direction on this topic!
I would define a graph and label nodes according to connected components:
gmap = unique(stack(df))
gmap$node = seq_len(nrow(gmap))
oldcols = unique(gmap$ind)
newcols = paste0("node_", oldcols)
df[ newcols ] = lapply(oldcols, function(i) with(gmap[gmap$ind == i, ],
node[ match(df[[i]], values) ]
))
library(igraph)
g = graph_from_edgelist(cbind(df$node_grp1, df$node_grp2), directed = FALSE)
gmap$group = components(g)$membership
df$group = gmap$group[ match(df$node_grp1, gmap$node) ]
grp1 grp2 node_grp1 node_grp2 group
1 1 1 1 5 1
2 1 2 1 6 1
3 1 3 1 7 1
4 2 3 2 7 1
5 2 4 2 8 1
6 2 5 2 9 1
7 3 6 3 10 2
8 3 7 3 11 2
9 3 8 3 12 2
10 4 6 4 10 2
11 4 9 4 13 2
12 4 10 4 14 2
Each unique element of grp1 or grp2 is a node and each row of df is an edge.
One way to do this is via a matrix that defines links between rows based on group membership.
This approach is related to #Frank's graph answer but uses an adjacency matrix rather than using edges to define the graph. An advantage of this approach is it can deal immediately with many > 2 grouping columns with the same code. (So long as you write the function that determines links flexibly.) A disadvantage is you need to make all pair-wise comparisons between rows to construct the matrix, so for very long vectors it could be slow. As is, #Frank's answer would work better for very long data, or if you only ever have two columns.
The steps are
compare rows based on groups and define these rows as linked (i.e., create a graph)
determine connected components of the graph defined by the links in 1.
You could do 2 a few ways. Below I show a brute force way where you 2a) collapse links, till reaching a stable link structure using matrix multiplication and 2b) convert the link structure to a factor using hclust and cutree. You could also use igraph::clusters on a graph created from the matrix.
1. construct an adjacency matrix (matrix of pairwise links) between rows
(i.e., if they in the same group, the matrix entry is 1, otherwise it's 0). First making a helper function that determines whether two rows are linked
linked_rows <- function(data){
## helper function
## returns a _function_ to compare two rows of data
## based on group membership.
## Use Vectorize so it works even on vectors of indices
Vectorize(function(i, j) {
## numeric: 1= i and j have overlapping group membership
common <- vapply(names(data), function(name)
data[i, name] == data[j, name],
FUN.VALUE=FALSE)
as.numeric(any(common))
})
}
which I use in outer to construct a matrix,
rows <- 1:nrow(df)
A <- outer(rows, rows, linked_rows(df))
2a. collapse 2-degree links to 1-degree links. That is, if rows are linked by an intermediate node but not directly linked, lump them in the same group by defining a link between them.
One iteration involves: i) matrix multiply to get the square of A, and
ii) set any non-zero entry in the squared matrix to 1 (as if it were a first degree, pairwise link)
## define as a function to use below
lump_links <- function(A) {
A <- A %*% A
A[A > 0] <- 1
A
}
repeat this till the links are stable
oldA <- 0
i <- 0
while (any(oldA != A)) {
oldA <- A
A <- lump_links(A)
}
2b. Use the stable link structure in A to define groups (connected components of the graph). You could do this a variety of ways.
One way, is to first define a distance object, then use hclust and cutree. If you think about it, we want to define linked (A[i,j] == 1) as distance 0. So the steps are a) define linked as distance 0 in a dist object, b) construct a tree from the dist object, c) cut the tree at zero height (i.e., zero distance):
df$combinedGrp <- cutree(hclust(as.dist(1 - A)), h = 0)
df
In practice you can encode steps 1 - 2 in a single function that uses the helper lump_links and linked_rows:
lump <- function(df) {
rows <- 1:nrow(df)
A <- outer(rows, rows, linked_rows(df))
oldA <- 0
while (any(oldA != A)) {
oldA <- A
A <- lump_links(A)
}
df$combinedGrp <- cutree(hclust(as.dist(1 - A)), h = 0)
df
}
This works for the original df and also for the structure in #rawr's answer
df <- data.frame(grp1 = c(1,1,1,2,2,2,3,3,3,4,4,4,5,5,6,7,8,9),
grp2 = c(1,2,3,3,4,5,6,7,8,6,9,10,11,3,12,3,6,12))
lump(df)
grp1 grp2 combinedGrp
1 1 1 1
2 1 2 1
3 1 3 1
4 2 3 1
5 2 4 1
6 2 5 1
7 3 6 2
8 3 7 2
9 3 8 2
10 4 6 2
11 4 9 2
12 4 10 2
13 5 11 1
14 5 3 1
15 6 12 3
16 7 3 1
17 8 6 2
18 9 12 3
PS
Here's a version using igraph, which makes the connection with #Frank's answer more clear:
lump2 <- function(df) {
rows <- 1:nrow(df)
A <- outer(rows, rows, linked_rows(df))
cluster_A <- igraph::clusters(igraph::graph.adjacency(A))
df$combinedGrp <- cluster_A$membership
df
}
Hope this solution helps you a bit:
Assumption: df is ordered on the basis of grp1.
## split dataset using values of grp1
split_df <- split.default(df$grp2,df$grp1)
parent <- vector('integer',length(split_df))
## find out which combinations have values of grp2 in common
for (i in seq(1,length(split_df)-1)){
for (j in seq(i+1,length(split_df))){
inter <- intersect(split_df[[i]],split_df[[j]])
if (length(inter) > 0){
parent[j] <- i
}
}
}
ans <- vector('list',length(split_df))
index <- which(parent == 0)
## index contains indices of elements that have no element common
for (i in seq_along(index)){
ans[[index[i]]] <- rep(i,length(split_df[[i]]))
}
rest_index <- seq(1,length(split_df))[-index]
for (i in rest_index){
val <- ans[[parent[i]]][1]
ans[[i]] <- rep(val,length(split_df[[i]]))
}
df$combinedGrp <- unlist(ans)
df
grp1 grp2 combinedGrp
1 1 1 1
2 1 2 1
3 1 3 1
4 2 3 1
5 2 4 1
6 2 5 1
7 3 6 2
8 3 7 2
9 3 8 2
10 4 6 2
11 4 9 2
12 4 10 2
Based on https://stackoverflow.com/a/35773701/2152245, I used a different implementation of igraph because I already had an adjacency matrix of sf polygons from st_intersects():
library(igraph)
library(sf)
# Use example data
nc <- st_read(system.file("shape/nc.shp", package="sf"))
nc <- nc[-sample(1:nrow(nc),nrow(nc)*.75),] #drop some polygons
# Find intersetions
b <- st_intersects(nc, sparse = F)
g <- graph.adjacency(b)
clu <- components(g)
gr <- groups(clu)
# Quick loop to assign the groups
for(i in 1:nrow(nc)){
for(j in 1:length(gr)){
if(i %in% gr[[j]]){
nc[i,'group'] <- j
}
}
}
# Make a new sfc object
nc_un <- group_by(nc, group) %>%
summarize(BIR74 = mean(BIR74), do_union = TRUE)
plot(nc_un['BIR74'])
I am trying to simulate the OFFSET function from Excel. I understand that this can be done for a single value but I would like to return a range. I'd like to return a group of values with an offset of 1 and a group size of 2. For example, on row 4, I would like to have a group with values of column a, rows 3 & 2. Sorry but I am stumped.
Is it possible to add this result to the data frame as another column using cbind or similar? Alternatively, could I use this in a vectorized function so I could sum or mean the result?
Mockup Example:
> df <- data.frame(a=1:10)
> df
a
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8
9 9
10 10
> #PROCESS
> df
a b
1 1 NA
2 2 (1)
3 3 (1,2)
4 4 (2,3)
5 5 (3,4)
6 6 (4,5)
7 7 (5,6)
8 8 (6,7)
9 9 (7,8)
10 10 (8,9)
This should do the trick:
df$b1 <- c(rep(NA, 1), head(df$a, -1))
df$b2 <- c(rep(NA, 2), head(df$a, -2))
Note that the result will have to live in two columns, as columns in data frames only support simple data types. (Unless you want to resort to complex numbers.) head with a negative argument cuts the negated value of the argument from the tail, try head(1:10, -2). rep is repetition, c is concatenation. The <- assignment adds a new column if it's not there yet.
What Excel calls OFFSET is sometimes also referred to as lag.
EDIT: Following Greg Snow's comment, here's a version that's more elegant, but also more difficult to understand:
df <- cbind(df, as.data.frame((embed(c(NA, NA, df$a), 3))[,c(3,2)]))
Try it component by component to see how it works.
Do you want something like this?
> df <- data.frame(a=1:10)
> b=t(sapply(1:10, function(i) c(df$a[(i+2)%%10+1], df$a[(i+4)%%10+1])))
> s = sapply(1:10, function(i) sum(b[i,]))
> df = data.frame(df, b, s)
> df
a X1 X2 s
1 1 4 6 10
2 2 5 7 12
3 3 6 8 14
4 4 7 9 16
5 5 8 10 18
6 6 9 1 10
7 7 10 2 12
8 8 1 3 4
9 9 2 4 6
10 10 3 5 8
This question already has an answer here:
Closed 10 years ago.
Possible Duplicate:
Select and insert value unique number of times in R
I would like to generate 2000 random numbers between 1 and 10 such that for each random number I have the same number of instances.
In this case 200 for each number.
What should be random is the order in which it is generated.
I have the following problem:
I have an array with 2000 entries but not each with unique values, for example it starts like this:
11112233333333344445667777777777
and consists of 2000 entries.
I would like to generate random numbers and assign each UNIQUE value a separate random number but have an entry for each value
So my intended result would look like this:
original array: 11112233333333344445667777777777
random numbers: 33334466666666699991778888888888
You could do this in a few steps:
my_numbers <- rep(1:10, each=200)
my_randomizer <- sample(seq_along(my_numbers), length(my_numbers))
my_random_numbers <- my_numbers[my_randomizer]
Based on the edits:
I would use rle. It sounds like you don't have an array, but instead a vector:
my_array_rled <- rle(my_array)
my_random_numbers <- sample(1:10, length(unique(my_array)))
my_array_rled$values <- factor(my_array_rled$values)
levels(my_array_rled$values) <- my_random_numbers
my_array_randomized <- inverse.rle(my_array_rled)
If I understand you correctly you can use "rep" to replicate your random numbers 200 times and "sample" to randomize the resulting vector.
x <- sample(rep(runif(2000,1,10),200))
A non vectorized code:
# using a seed for reproducible example
set.seed(2)
original_array <- c(1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,5,6,6,7,7,7,7,7,7,7,7,7,7)
random_numbers <- numeric(length=length(original_array))
rdnum <- sample(unique(original_array), length(unique(original_array)))
for ( i in 1:length(unique(original_array)))
random_numbers[original_array == i] <- rdnum[i]
random_numbers
2 2 2 2 5 5 3 3 3 3 3 3 3 3 3 1 1 1 1 6 7 7 4 4 4 4 4 4 4 4 4 4
The table function with sample comes in quite handy for this scenerio:
set.seed(1)
## ASSUMING ORIGINAL IS A VECTOR
original <- c(1, 1, 1, 1, 2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,5,6,6,7,7,7,7,7,7,7,7,7,7)
## CREATE A TABLE OF ALL THE VALUES
tabl <- table(original)
## RNG is the sample range to select from. Assuming 1:10 in this example
RNG <- 1:10
## PICK VALUES RANDOMLY FROM RNG
tabl[] <- sample(RNG, length(tabl), replace=FALSE)
# note that the `names` of `tabl` will contain the values from `original`
# whereas the values of `tabl` will contain the new random value.
## ASSIGN NEW VALUES
randomNums <- original
for(i in seq(length(tabl)))
randomNums[ original==as.numeric(names(tabl))[[i]] ] <- tabl[[i]]
Results:
rbind(orig=original, rand=randomNums)
orig: 1 1 1 1 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 5 6 6 7 7 7 7 7 7 7 7 7 7
rand: 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 7 7 7 7 2 8 8 9 9 9 9 9 9 9 9 9 9