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Descriptive Analysis in R Programming

  • Last Updated : 02 Jul, 2020

In Descriptive analysis, we are describing our data with the help of various representative methods like using charts, graphs, tables, excel files, etc. In the descriptive analysis, we describe our data in some manner and present it in a meaningful way so that it can be easily understood. Most of the time it is performed on small data sets and this analysis helps us a lot to predict some future trends based on the current findings. Some measures that are used to describe a data set are measures of central tendency and measures of variability or dispersion.

Process of Descriptive Analysis

  • Measure of central tendency
  • Measure of variability

Measure of central tendency

It represents the whole set of data by single value.It gives us the location of central points. There are three main measures of central tendency:

  • Mean
  • Mode
  • Median

Measure of variability

Measure of variability is known as the spread of data or how well is our data is distributed. The most common variability measures are:



  • Range
  • Variance
  • Standard deviation




    Need of Descriptive Analysis

    Descriptive Analysis helps us to understand our data and is a very important part of Machine Learning. This is due to Machine Learning being all about making predictions. On the other hand, statistics is all about drawing conclusions from data, which is a necessary initial step for Machine Learning. Let’s do this descriptive analysis in R.

    Descriptive Analysis in R

    Descriptive analyses consist of describing simply the data using some summary statistics and graphics. Here, we’ll describe how to compute summary statistics using R software.

    Import your data into R:

    Before doing any computation, first of all, we need to prepare our data, save our data in an external .txt or .csv files and it’s a best practice to save the file in the current directory. After that import, your data into R as follow:

    Get the csv file here.




    # R program to illustrate
    # Descriptive Analysis
      
    # Import the data using read.csv()
    myData = read.csv("CardioGoodFitness.csv"
                       stringsAsFactors = F)
    # Print the first 6 rows
    print(head(myData))

    Output:

       Product Age Gender Education MaritalStatus Usage Fitness Income Miles
    1   TM195  18   Male        14        Single     3       4  29562   112
    2   TM195  19   Male        15        Single     2       3  31836    75
    3   TM195  19 Female        14     Partnered     4       3  30699    66
    4   TM195  19   Male        12        Single     3       3  32973    85
    5   TM195  20   Male        13     Partnered     4       2  35247    47
    6   TM195  20 Female        14     Partnered     3       3  32973    66
    

    R functions for computing descriptive analysis:



    AnalysisR Function
    Meanmean()
    Medianmedian()
    Modemfv() [modeest]
    Range of values (minimum and maximum)range()
    Minimummin()
    Maximummaximum()
    Variancevar()
    Standrad Deviationsd()
    Sample quantilesquantile()
    Interquartile rangeIQR()
    Generic functionsummary()
    • Mean

      It is the sum of observation divided by the total number of observations. It is also defined as average which is the sum divided by count.

      where n = number of terms

      Example:




      # R program to illustrate
      # Descriptive Analysis
        
      # Import the data using read.csv()
      myData = read.csv("CardioGoodFitness.csv",
                         stringsAsFactors = F)
        
      # Compute the mean value
      mean = mean(myData$Age)
      print(mean)

      Output:

      [1] 28.78889
      

    • Median
      It is the middle value of the data set. It splits the data into two halves. If the number of elements in the data set is odd then the center element is median and if it is even then the median would be the average of two central elements.

      where n = number of terms

      Example:






      # R program to illustrate
      # Descriptive Analysis
        
      # Import the data using read.csv()
      myData = read.csv("CardioGoodFitness.csv"
                         stringsAsFactors = F)
        
      # Compute the median value
      median = median(myData$Age)
      print(median)

      Output:

      [1] 26
      

    • Mode
      It is the value that has the highest frequency in the given data set. The data set may have no mode if the frequency of all data points is the same. Also, we can have more than one mode if we encounter two or more data points having the same frequency.

      Example:




      # R program to illustrate
      # Descriptive Analysis
        
      # Import the library
      library(modeest)
        
      # Import the data using read.csv()
      myData = read.csv("CardioGoodFitness.csv"
                         stringsAsFactors = F)
        
      # Compute the mode value
      mode = mfv(myData$Age)
      print(mode)

      Output:

      [1] 25
      

    • Range
      The range describes the difference between the largest and smallest data point in our data set. The bigger the range, the more is the spread of data and vice versa.

      Range = Largest data value – smallest data value

      Example:




      # R program to illustrate
      # Descriptive Analysis
        
      # Import the data using read.csv()
      myData = read.csv("CardioGoodFitness.csv"
                         stringsAsFactors = F)
        
      # Calculate the maximum
      max = max(myData$Age)
      # Calculate the minimum
      min = min(myData$Age)
      # Calculate the range
      range = max - min
        
      cat("Range is:\n")
      print(range)
        
      # Alternate method to get min and max
      r = range(myData$Age)
      print(r)

      Output:

      Range is:
      [1] 32
      
      [1] 18 50
      

    • Variance
      It is defined as an average squared deviation from the mean. It is being calculated by finding the difference between every data point and the average which is also known as the mean, squaring them, adding all of them, and then dividing by the number of data points present in our data set.



      where,
      N = number of terms
      u = Mean

      Example:




      # R program to illustrate
      # Descriptive Analysis
        
      # Import the data using read.csv()
      myData = read.csv("CardioGoodFitness.csv"
                         stringsAsFactors = F)
        
      # Calculating variance
      variance = var(myData$Age)
      print(variance)

      Output:

      [1] 48.21217
      

    • Standard Deviation
      It is defined as the square root of the variance. It is being calculated by finding the Mean, then subtract each number from the Mean which is also known as average and square the result. Adding all the values and then divide by the no of terms followed the square root.

      where,
      N = number of terms
      u = Mean

      Example:




      # R program to illustrate
      # Descriptive Analysis
        
      # Import the data using read.csv()
      myData = read.csv("CardioGoodFitness.csv", stringsAsFactors = F)
        
      # Calculating Standard deviation
      std = sd(myData$Age)
      print(std)

      Output:

      [1] 6.943498
      

    Some more R function used in Descriptive Analysis:

    • Quartiles
      A quartile is a type of quantile. The first quartile (Q1), is defined as the middle number between the smallest number and the median of the data set, the second quartile (Q2) – the median of the given data set while the third quartile (Q3), is the middle number between the median and the largest value of the data set.



      Example:




      # R program to illustrate
      # Descriptive Analysis
        
      # Import the data using read.csv()
      myData = read.csv("CardioGoodFitness.csv", stringsAsFactors = F)
        
      # Calculating Quartiles
      quartiles = quantile(myData$Age)
      print(quartiles)

      Output:

      0%  25%  50%  75% 100% 
      18   24   26   33   50 
      

    • Interquartile Range
      The interquartile range (IQR), also called as midspread or middle 50%, or technically H-spread is the difference between the third quartile (Q3) and the first quartile (Q1). It covers the center of the distribution and contains 50% of the observations.

      IQR = Q3 – Q1

      Example:




      # R program to illustrate
      # Descriptive Analysis
        
      # Import the data using read.csv()
      myData = read.csv("CardioGoodFitness.csv", stringsAsFactors = F)
        
      # Calculating IQR
      IQR = IQR(myData$Age)
      print(IQR)

      Output:

      [1] 9
      

    • summary() function in R

      The function summary() can be used to display several statistic summaries of either one variable or an entire data frame.

      • Summary of a single variable:
        Example:




        # R program to illustrate
        # Descriptive Analysis
          
        # Import the data using read.csv()
        myData = read.csv("CardioGoodFitness.csv"
                           stringsAsFactors = F)
          
        # Calculating summary
        summary = summary(myData$Age)
        print(summary)

        Output:

         Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
        18.00   24.00   26.00   28.79   33.00   50.00 
        

      • Summary of the data frame
        Example:




        # R program to illustrate
        # Descriptive Analysis
          
        # Import the data using read.csv()
        myData = read.csv("CardioGoodFitness.csv"
                           stringsAsFactors = F)
          
        # Calculating summary
        summary = summary(myData)
        print(summary)

        Output:

        Product               Age           Gender            Education    
         Length:180         Min.   :18.00   Length:180         Min.   :12.00  
         Class :character   1st Qu.:24.00   Class :character   1st Qu.:14.00  
         Mode  :character   Median :26.00   Mode  :character   Median :16.00  
                            Mean   :28.79                      Mean   :15.57  
                            3rd Qu.:33.00                      3rd Qu.:16.00  
                            Max.   :50.00                      Max.   :21.00  
        
        
         MaritalStatus          Usage          Fitness          Income           Miles      
         Length:180         Min.   :2.000   Min.   :1.000   Min.   : 29562   Min.   : 21.0  
         Class :character   1st Qu.:3.000   1st Qu.:3.000   1st Qu.: 44059   1st Qu.: 66.0  
         Mode  :character   Median :3.000   Median :3.000   Median : 50597   Median : 94.0  
                            Mean   :3.456   Mean   :3.311   Mean   : 53720   Mean   :103.2  
                            3rd Qu.:4.000   3rd Qu.:4.000   3rd Qu.: 58668   3rd Qu.:114.8  
                            Max.   :7.000   Max.   :5.000   Max.   :104581   Max.   :360.0  
        



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