# Reshaping data between long and wide forms

In R, tabular data is stored in data frames. This topic covers the various ways of transforming a single table.

# Reshaping data

Often data comes in tables. Generally one can divide this tabular data in wide and long formats. In a wide format, each variable has its own column.

Person Height [cm] Age [yr]
Alison 178 20
Bob 174 45
Carl 182 31

However, sometimes it is more convenient to have a long format, in which all variables are in one column and the values are in a second column.

Person Variable Value
Alison Height [cm] 178
Bob Height [cm] 174
Carl Height [cm] 182
Alison Age [yr] 20
Bob Age [yr] 45
Carl Age [yr] 31

Base R, as well as third party packages can be used to simplify this process. For each of the options, the mtcars dataset will be used. By default, this dataset is in a long format. In order for the packages to work, we will insert the row names as the first column.

mtcars # shows the dataset
data <- data.frame(observation=row.names(mtcars),mtcars)

# Base R

There are two functions in base R that can be used to convert between wide and long format: stack() and unstack().

long <- stack(data)
long # this shows the long format
wide <- unstack(long)    
wide # this shows the wide format

However, these functions can become very complex for more advanced use cases. Luckily, there are other options using third party packages.

# The tidyr package

This package uses gather() to convert from wide to long and spread() to convert from long to wide.

library(tidyr)
long <- gather(data, variable, value, 2:12) # where variable is the name of the 
# variable column, value indicates the name of the value column and 2:12 refers to
# the columns to be converted.
long # shows the long result
wide <- spread(long,variable,value)
wide # shows the wide result (~data)

# The data.table package

The data.table package extends the reshape2 functions and uses the function melt() to go from wide to long and dcast() to go from long to wide.

library(data.table)
long <- melt(data,'observation',2:12,'variable', 'value')
long # shows the long result
wide <- dcast(long, observation ~ variable)
wide # shows the wide result (~data)

# The reshape function

The most flexible base R function for reshaping data is reshape. See ?reshape for its syntax.

# create unbalanced longitudinal (panel) data set
set.seed(1234)
df <- data.frame(identifier=rep(1:5, each=3),
                 location=rep(c("up", "down", "left", "up", "center"), each=3),
                 period=rep(1:3, 5), counts=sample(35, 15, replace=TRUE),
                 values=runif(15, 5, 10))[-c(4,8,11),]
df

   identifier location period counts   values
1           1       up      1      4 9.186478
2           1       up      2     22 6.431116
3           1       up      3     22 6.334104
5           2     down      2     31 6.161130
6           2     down      3     23 6.583062
7           3     left      1      1 6.513467
9           3     left      3     24 5.199980
10          4       up      1     18 6.093998
12          4       up      3     20 7.628488
13          5   center      1     10 9.573291
14          5   center      2     33 9.156725
15          5   center      3     11 5.228851

Note that the data.frame is unbalanced, that is, unit 2 is missing an observation in the first period, while units 3 and 4 are missing observations in the second period. Also, note that there are two variables that vary over the periods: counts and values, and two that do not vary: identifier and location.

# Long to Wide

To reshape the data.frame to wide format,

# reshape wide on time variable
df.wide <- reshape(df, idvar="identifier", timevar="period",
                   v.names=c("values", "counts"), direction="wide")
df.wide
   identifier location values.1 counts.1 values.2 counts.2 values.3 counts.3
1           1       up 9.186478        4 6.431116       22 6.334104       22
5           2     down       NA       NA 6.161130       31 6.583062       23
7           3     left 6.513467        1       NA       NA 5.199980       24
10          4       up 6.093998       18       NA       NA 7.628488       20
13          5   center 9.573291       10 9.156725       33 5.228851       11

Notice that the missing time periods are filled in with NAs.

In reshaping wide, the "v.names" argument specifies the columns that vary over time. If the location variable is not necessary, it can be dropped prior to reshaping with the "drop" argument. In dropping the only non-varying / non-id column from the data.frame, the v.names argument becomes unnecessary.

reshape(df, idvar="identifier", timevar="period", direction="wide",
        drop="location")

# Wide to Long

To reshape long with the current df.wide, a minimal syntax is

reshape(df.wide, direction="long")

However, this is typically trickier:

# remove "." separator in df.wide names for counts and values
names(df.wide)[grep("\\.", names(df.wide))] <-
              gsub("\\.", "", names(df.wide)[grep("\\.", names(df.wide))])

Now the simple syntax will produce an error about undefined columns.

With column names that are more difficult for the reshape function to automatically parse, it is sometimes necessary to add the "varying" argument which tells reshape to group particular variables in wide format for the transformation into long format. This argument takes a list of vectors of variable names or indices.

reshape(df.wide, idvar="identifier",
        varying=list(c(3,5,7), c(4,6,8)), direction="long")

In reshaping long, the "v.names" argument can be provided to rename the resulting varying variables.

Sometimes the specification of "varying" can be avoided by use of the "sep" argument which tells reshape what part of the variable name specifies the value argument and which specifies the time argument.

# Remarks

# Helpful packages