Home » 7 Important Ways to Summarise Data in R

# 7 Important Ways to Summarise Data in R

## Introduction

People remain confused when it comes to summarizing data real quick in R. There are various options. But, which one is the best ? I’ve answered this question below. You must choose one at first. And, become expert at it. That’s how you should move to the next.

People who transition from SAS or SQL are used to writing simple queries on these languages to summarize data sets. For such audience, the biggest concern is to how do we do the same thing on R.

In this article I will cover primary ways to summarize data sets. Hopefully this will make your journey much easier than it looks like.

Generally, summarizing data means finding statistical figures such as mean, median, box plot etc. If understand well with scatter plots & histogram, you can refer to guide on data visualization in R. ## 1. apply

Apply function returns a vector or array or list of values obtained by applying a function to either rows or columns. This is the simplest of all the function which can do this job. However this function is very specific to collapsing either row or column.

````m <- ``matrix``(``c````(1:10, 11:20), nrow = 10, ncol = 2)
````apply````(m, 1, mean)
```  6  7  8  9 10 11 12 13 14 15```
````apply````(m, 2, mean)
```  5.5 15.5```

## 2. lapply

“lapply” returns a list of the same length as X, each element of which is the result of applying FUN to the corresponding element of X.”

````l <- ``list````(a = 1:10, b = 11:20)
````lapply````(l, mean)
``````\$a
```` 5.5````
``````\$b
```` 15.5````

## 3.  sapply

“sapply” does the same thing as apply but returns a vector or matrix. Let’s consider the last example again.

````l <- ``list``(a = 1:10, b = 11:20)` `l.mean <- ``sapply````(l, mean)
````class````(l.mean)
```` ``"numeric"````

## 4. tapply

Till now, all the function we discussed cannot do what Sql can achieve. Here is a function which completes the palette for R. Usage is “tapply(X, INDEX, FUN = NULL, …, simplify = TRUE)”, where X is “an atomic object, typically a vector” and INDEX is “a list of factors, each of same length as X”. Here is an example which will make the usage clear.

````attach````(iris)
``````# mean petal length by species
````tapply````(iris\$Petal.Length, Species, mean)
````    ````setosa versicolor  virginica
````     ``1.462      4.260      5.552````

## 5. by

Now comes a slightly more complicated algorithm. Function ‘by’ is an object-oriented wrapper for ‘tapply’ applied to data frames. Hopefully the example will make it more clear.

````attach````(iris)
````by``(iris[, 1:4], Species, colMeans)````
``````Species: setosa
``````Sepal.Length  Sepal.Width Petal.Length  Petal.Width
````       ``5.006        3.428        1.462        0.246 ````
``------------------------------------------------------------ ``
``````Species: versicolor
``````Sepal.Length  Sepal.Width Petal.Length  Petal.Width
````       ``5.936        2.770        4.260        1.326 ````
``------------------------------------------------------------ ``
``````Species: virginica
``````Sepal.Length  Sepal.Width Petal.Length  Petal.Width
````       ``6.588        2.974        5.552        2.026````

What did the function do? It simply splits the data by a class variable, which in this case is the specie. And then it creates a summary at this level. So it does apply function on split frames. The returned object is of class “by”.

## 6. sqldf

If you found any of the above statements difficult, don’t panic. I bring you a life line which you can use anytime. Let’s fit in the SQL queries in R. Here is a way you can do the same.

````attach````(iris)
````summarization <- sqldf(select Species, mean(Petal.Length) from Petal.Length_mean where Species is not null group by Species’)````
And it’s done. Wasn’t it simple enough? One setback of this approach is the amount of time it takes to execute. In case you are interested in getting speed and same results read the next section.

## 7. ddply

Fastest of all we discussed. You will need an additional package. Let’s do what we exactly did in tapply section.
```library(plyr)
`attach``(iris)````
``# mean petal length by species``

`ddply(iris,"Species",summarise, Petal.Length_mean = mean (Petal.Length))`

Additional Notes: You can also use packages such as dplyr, data.table to summarize data.  Here’s a complete tutorial on useful packages for data manipulation in R – Faster Data Manipulation with these 7 R Packages.

In general if you are trying to add this summarisation step in the middle of a process and need a table as output, you need to go for sqldf or ddply. “ddply” in these cases is faster but will not give you options beyond just grouping. “sqldf” has all features you need to summarize the data in SQL statements.

In case you are interested in using function similar to pivot tables or transposing the tables, you can consider using “reshape”. We have covered a few examples of the same in our article – comprehensive guide for data exploration in R.

Challenge : Here is a simple problem you can attempt to solve using all the methods we have discussed. You have a table for all school kids marks in a particular city.

## Write a code to find the mean marks of each school for both class 1 and 2, for students with roll no less than 6. And print only the class whose mean score comes out to be higher for the school. For instance, if school A has a mean score of 6 for class 1 and 4 for class 2, you will reject class 2 and only take class 1 mean score for the school. In cases of tie, you can make a random choice. Assume that the actual table is much bigger and keep the code as generalized as possible.

## End Notes

You can use any of the functions given above and get your results. I would recommend to execute the same task using all the functions discussed and check the time it takes to execute. Once you have this comparison in your mind, R will be as easy as SAS or and other SQL language.

Did you find the article useful? Have you used any other function to summarize data on R. If yes, tell us about the function and your views on other functions discussed in this blog.

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You can also read this article on our Mobile APP  • Sivathanu says:

Add “data.table” methods as well, more effective ones 🙂

• Ulf Morys says:

Thank you, very nice overview !

For anyone interested in more details on the apply-functions, I recommend this rather old (but as far as I can tell still valid) additional blog post:
https://nsaunders.wordpress.com/2010/08/20/a-brief-introduction-to-apply-in-r/

One remark from my side: for “real coders” the one-liners from the example are probably more elegant. For daily work with data frames, I prefer in the meantime using not ddply() from the plyr package, but rather using the dplyr-package with its piping. The resulting code is more verbose, but more readable and accessible, like e.g. this pseudo code working on the Titanic dataset:

df %
group_by(Class, Sex, Age, Survived) %>%
summarise(Count = n())

where basically any function can be used in combination with the summarise()-function.

• Teru Watanabe says:

How is this?

library(dplyr)

dd <-
d[d\$rollno %
group_by(school, class) %>%
summarise(marks=mean(marks))

sapply(seq(1, nrow(dd)-1, 2), FUN=function(i) {
if (dd\$marks[i] == dd\$marks[i + 1]) {
dd[sample(c(i, i+1), 1), ]
} else {
dd[ifelse(dd\$marks[i] > dd\$marks[i + 1], i, i+1), ]
}
}) %>% t

• Teru Watanabe says:

The formatting in the first comment was broken.

http://justpaste.it/po5s

• Kamaksha Prasad Dash says:

Solution to the given Challenge can be done in multiple ways. One short way without using sqldf is as below-
ddply(aggregate(Marks~School+Class,df[Rollno<6,],mean),.(School),function(x) x[which.max(x\$Marks),])

School Class Marks
1 A 1 6
2 B 1 4
3 C 2 6

Note- One of the most most useful data summarisation function is aggregate

• Kamaksha Prasad Dash says:

Any one who knows any shortest way than mine mentioned above kindly provide the solution which will be helpful as part of knowledge sharing.

• Kamaksha Prasad Dash says:

Solution to the given Challenge can be done in multiple ways. One short way without using sqldf is as below-
ddply(aggregate(Marks~School+Class,df[Rollno<6,],mean),.(School),function(x) x[which.max(x\$Marks),])

School Class Marks
1 A 1 6
2 B 1 4
3 C 2 6

Note- One of the most most useful data summarisation function is aggregate

• Pierre says:

There is a comma missing at the beginning of the sqldf statement. The argument should be surrounded by quotes, sqldf will parse the character input for evaluation.

• Johnny Johnson says:

Hello, would you happen to know if there is a stream substitute for attach(iris)? Or is R powerful enough to code with for managing realtime/time-series? Any examples or projects going on where the dataframes are realtime/time-series? I am not sure if I am saying that correctly but hopefully you get the gist of it.

Thanks

• Raju Kommarajula says:

Hi Friends,

Find the below is my code.

str(mx)

mx1=subset(mx,Roll_No<=6)
library(reshape2)
max_c = dcast(mx1,School ~ Class,mean,na.rm=T)

max=data.frame(max_c,Class=apply(max_c[,c(2:3)],1, function(x){names(which.max(x))}),Maxmean_Score=apply(max_c[,c(2:3)],1,max))
• Raju Kommarajula says:
• Maruthi says: