As part of Data Science with R, this is third tutorial after basic data types,control structures in r.

One of the issues with for loop is its memory consumption and its slowness in executing a repetitive task at hand. Often dealing with large data and iterating it, for loop is not advised. R provides many few alternatives to be applied on vectors for looping operations. In this section, we deal with

apply() function is the base function. We will learn how to apply family functions by trying out the code. apply() function takes 3 arguments:

lapply function is applied for operations on list objects and returns a list object of same length of original set.

lapply function in R, returns a list of the same length as input list object, each element of which is the result of applying FUN to the corresponding element of list.

sapply is wrapper class to lapply with difference being it returns vector or matrix instead of list object.

tapply() is a very powerful function that lets you break a vector into pieces and then apply some function to each of the pieces. In the below code, first each of mpg in mtcars data is grouped by cylinder type and then mean() function is calculated.

by works similar to group by function in SQL, applied to factors, where in we may apply operations on individual results set. In the below example, we apply colMeans() function to all the observations on iris dataset grouped by Species.

rapply() is a recursive version of lapply.

rapply() applies a function recursively on each element of the list with 2 modes for "how" parameter. If how = "replace", each element of the list which is not itself a list and has a class included in classes is replaced by the result of applying f to the element.If the mode is how = "list" or how = "unlist", the list is copied, all non-list elements which have a class included in classes are replaced by the result of applying f to the element and all others are replaced by deflt. Finally, if how = "unlist", unlist(recursive = TRUE) is called on the result.

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mapply is a multivariate version of sapply. By R definition, mapply is a multivariate version of sapply. mapply applies FUN to the first elements of each ... argument, the second elements, the third elements, and so on. Arguments are recycled if necessary. Its purpose is to be able to vectorize arguments to a function that is not usually accepting vectors as arguments. In short, mapply applies a Function to Multiple List or multiple Vector Arguments. In the below example word function is applied to vector argument LETTERS. '

One of the issues with for loop is its memory consumption and its slowness in executing a repetitive task at hand. Often dealing with large data and iterating it, for loop is not advised. R provides many few alternatives to be applied on vectors for looping operations. In this section, we deal with

**apply**function and its variants:?apply

**Datasets for apply family tutorial**For understanding the apply functions in R we use,the data from 1974 Motor Trend US magazine which comprises fuel consumption and 10 aspects of automobile design and performance for 32 automobiles (1973–74 models).data("mtcars") head(mtcars) mpg cyl disp hp drat wt qsec vs am gear carb Mazda RX4 21.0 6 160 110 3.90 2.620 16.46 0 1 4 4 Mazda RX4 Wag 21.0 6 160 110 3.90 2.875 17.02 0 1 4 4 Datsun 710 22.8 4 108 93 3.85 2.320 18.61 1 1 4 1 Hornet 4 Drive 21.4 6 258 110 3.08 3.215 19.44 1 0 3 1 Hornet Sportabout 18.7 8 360 175 3.15 3.440 17.02 0 0 3 2 Valiant 18.1 6 225 105 2.76 3.460 20.22 1 0 3 1Reynolds (1994) describes a small part of a study of the long-term temperature dynamics of beaver Castor canadensis in north-central Wisconsin. Body temperature was measured by telemetry every 10 minutes for four females, but data from a one period of less than a day for each of two animals is used there.data(beavers) head(t(beaver1)[1:4,1:10]) [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] day 346.00 346.00 346.00 346.00 346.00 346.00 346.00 346.00 346.00 346.00 time 840.00 850.00 900.00 910.00 920.00 930.00 940.00 950.00 1000.00 1010.00 temp 36.33 36.34 36.35 36.42 36.55 36.69 36.71 36.75 36.81 36.88 activ 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

**apply():**apply() function is the base function. We will learn how to apply family functions by trying out the code. apply() function takes 3 arguments:

- data matrix
- row/column operation, - 1 for row wise operation, 2 for column wise operation
- function to be applied on the data.

when 1 is passed as second parameter, the function max is applied row wise and gives us the result. In the below example, row wise maximum value is calculated.Since we have four types of attributes we got 4 results.apply(t(beaver1),1,max) day time temp activ 347.00 2350.00 37.53 1.00When 2 is passed as second parameter the function mean is applied column wise. In the below example mean function is applied on each column and mean for each column is calculated. Hence we can see results for each column.apply(mtcars,2,mean) mpg cyl disp hp drat wt qsec vs am gear carb 20.090625 6.187500 230.721875 146.687500 3.596563 3.217250 17.848750 0.437500 0.406250 3.687500 2.812500We can also pass custom function instead of default functions. For example in the below example let us divide each column element with modulus of 10. For this we use a custom function which takes each element from each column and apply the modulus operation.head(apply(mtcars,2,function(x) x%%10)) mpg cyl disp hp drat wt qsec vs am gear carb Mazda RX4 1.0 6 0 0 3.90 2.620 6.46 0 1 4 4 Mazda RX4 Wag 1.0 6 0 0 3.90 2.875 7.02 0 1 4 4 Datsun 710 2.8 4 8 3 3.85 2.320 8.61 1 1 4 1 Hornet 4 Drive 1.4 6 8 0 3.08 3.215 9.44 1 0 3 1 Hornet Sportabout 8.7 8 0 5 3.15 3.440 7.02 0 0 3 2 Valiant 8.1 6 5 5 2.76 3.460 0.22 1 0 3 1

**lapply():**lapply function is applied for operations on list objects and returns a list object of same length of original set.

lapply function in R, returns a list of the same length as input list object, each element of which is the result of applying FUN to the corresponding element of list.

#create a list with 2 elementsl = (a=1:10,b=11:20)# the mean of the value in each elementlapply(l, mean) $a [1] 5.5 $b [1] 15.5 class(lapply(l, mean)) [1] "list# the sum of the values in each elementlapply(l, sum) $a [1] 55 $b [1] 155

**sapply():**sapply is wrapper class to lapply with difference being it returns vector or matrix instead of list object.

# create a list with 2 elementsl = (a=1:10,b=11:20)# mean of values using sapplysapply(l, mean) a b 5.5 15.5

**tapply():**tapply() is a very powerful function that lets you break a vector into pieces and then apply some function to each of the pieces. In the below code, first each of mpg in mtcars data is grouped by cylinder type and then mean() function is calculated.

str(mtcars$cyl) num [1:32] 6 6 4 6 8 6 8 4 4 6 ... levels(as.factor(mtcars$cyl)) [1] "4" "6" "8"In the dataset we have 3 types of cylinders and now we want to see the average mpg for each cylinder type.tapply(mtcars$mpg,mtcars$cyl,mean) 4 6 8 26.66364 19.74286 15.10000In the output above we see that the average mpg for 4 cylinder engine is 26.664, 6-cyinder engine is 19.74 and 8-cylinder engine is 15.10

**by():**by works similar to group by function in SQL, applied to factors, where in we may apply operations on individual results set. In the below example, we apply colMeans() function to all the observations on iris dataset grouped by Species.

data(iris) 'data.frame': 150 obs. of 5 variables: $ Sepal.Length: num 5.1 4.9 4.7 4.6 5 5.4 4.6 5 4.4 4.9 ... $ Sepal.Width : num 3.5 3 3.2 3.1 3.6 3.9 3.4 3.4 2.9 3.1 ... $ Petal.Length: num 1.4 1.4 1.3 1.5 1.4 1.7 1.4 1.5 1.4 1.5 ... $ Petal.Width : num 0.2 0.2 0.2 0.2 0.2 0.4 0.3 0.2 0.2 0.1 ... $ Species : Factor w/ 3 levels "setosa","versicolor",..: 1 1 1 1 1 1 1 1 1 1 ... by(iris[,1:4],iris$Species,colMeans) iris$Species: setosa Sepal.Length Sepal.Width Petal.Length Petal.Width 5.006 3.428 1.462 0.246 ------------------------------------------------------------------------------------ iris$Species: versicolor Sepal.Length Sepal.Width Petal.Length Petal.Width 5.936 2.770 4.260 1.326 ------------------------------------------------------------------------------------ iris$Species: virginica Sepal.Length Sepal.Width Petal.Length Petal.Width 6.588 2.974 5.552 2.026

**rapply():**rapply() is a recursive version of lapply.

rapply() applies a function recursively on each element of the list with 2 modes for "how" parameter. If how = "replace", each element of the list which is not itself a list and has a class included in classes is replaced by the result of applying f to the element.If the mode is how = "list" or how = "unlist", the list is copied, all non-list elements which have a class included in classes are replaced by the result of applying f to the element and all others are replaced by deflt. Finally, if how = "unlist", unlist(recursive = TRUE) is called on the result.

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l2 = list(a = 1:10, b = 11:20,c=c('d','a','t','a')) l2 $a [1] 1 2 3 4 5 6 7 8 9 10 $b [1] 11 12 13 14 15 16 17 18 19 20 $c [1] "d" "a" "t" "a" rapply(l2, mean, how = "list", classes = "integer") $a [1] 5.5 $b [1] 15.5 $c NULL rapply(l2, mean, how = "unlist", classes = "integer") a b 5.5 15.5 rapply(l2, mean, how = "replace", classes = "integer") $a [1] 5.5 $b [1] 15.5 $c [1] "d" "a" "t" "a"

**mapply():**mapply is a multivariate version of sapply. By R definition, mapply is a multivariate version of sapply. mapply applies FUN to the first elements of each ... argument, the second elements, the third elements, and so on. Arguments are recycled if necessary. Its purpose is to be able to vectorize arguments to a function that is not usually accepting vectors as arguments. In short, mapply applies a Function to Multiple List or multiple Vector Arguments. In the below example word function is applied to vector argument LETTERS. '

word = function(C, k) paste(rep.int(C, k), collapse = "") utils::str(mapply(word, LETTERS[1:6], 6:1, SIMPLIFY = FALSE)) List of 6 $ A: chr "AAAAAA" $ B: chr "BBBBB" $ C: chr "CCCC" $ D: chr "DDD" $ E: chr "EE" $ F: chr "F"