Lesson 3

getwd()
## [1] "C:/Users/gs-1843/Music/Watson/eda-course-materials/lesson3"
list.files()
## [1] "lesson3_myattempt.rmd" "lesson3_student.html"  "lesson3_student.rmd"  
## [4] "pseudo_facebook.tsv"   "rsconnect"
pf <- read.csv('pseudo_facebook.tsv', sep = '\t')

names(pf)
##  [1] "userid"                "age"                  
##  [3] "dob_day"               "dob_year"             
##  [5] "dob_month"             "gender"               
##  [7] "tenure"                "friend_count"         
##  [9] "friendships_initiated" "likes"                
## [11] "likes_received"        "mobile_likes"         
## [13] "mobile_likes_received" "www_likes"            
## [15] "www_likes_received"

Histogram of Users’ Birthdays

Notes:

# install.packages('ggplot2')
library(ggplot2)
## Warning: package 'ggplot2' was built under R version 3.5.2

names(pf)
##  [1] "userid"                "age"                  
##  [3] "dob_day"               "dob_year"             
##  [5] "dob_month"             "gender"               
##  [7] "tenure"                "friend_count"         
##  [9] "friendships_initiated" "likes"                
## [11] "likes_received"        "mobile_likes"         
## [13] "mobile_likes_received" "www_likes"            
## [15] "www_likes_received"
ggplot(data = pf, aes(x = dob_day)) +
  geom_histogram(binwidth = 1) +
  scale_x_continuous(breaks = 1:31) +
  facet_wrap(~dob_month)

qplot(x = dob_day, data = pf)
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

# Here Data for x axis comes from dob_day, qplot = Quick plot
# data = Data frame to be used

Let us adjust the x axis, show each day of month on X-axis

qplot(x = dob_day, data = pf) +
  geom_histogram(binwidth = 1) +
  scale_x_continuous(breaks = 1:31)
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

Same plot can be drawn using ggplot function

ggplot(aes(x = dob_day), data = pf) +
  geom_histogram(binwidth = 1) +
  scale_x_continuous(breaks = 1:31)

Adding layer to plot, to show birthdy’s per month.

qplot(x = dob_day, data = pf) +
  scale_x_continuous(breaks = 1:25) +
  facet_wrap(~dob_month, ncol = 3)
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

## The tilde "~" sign in facet_wrap is special
# tilde is used to compose a formula object
# It is used to denote a statistical model,
# where the thing on left of tilde (~) is response 
# and thing on right of tilde (~) is  explanatory variable

# Ex : (Species ~ Sepal.lenght)
# In english this means : Species depends on Sepal length

Frined count histogram

qplot(x = friend_count, data = pf, xlim = c(0,1000)) 
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Warning: Removed 2951 rows containing non-finite values (stat_bin).
## Warning: Removed 2 rows containing missing values (geom_bar).

# Same graph using different way (Adding layer)
qplot(x = friend_count, data = pf) +
  scale_x_continuous(limits = c(0, 1000))
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Warning: Removed 2951 rows containing non-finite values (stat_bin).

## Warning: Removed 2 rows containing missing values (geom_bar).

Creating friend_count histogram with bin size 50.

qplot(x = friend_count, data = pf, binwidth = 25) +
  scale_x_continuous(limits = c(0, 1000), breaks = seq(0 ,1000, 50)) +
  facet_wrap(~gender)
## Warning: Removed 2951 rows containing non-finite values (stat_bin).
## Warning: Removed 6 rows containing missing values (geom_bar).

We can mix missing values plot (R handles missing values by supplying NA)

by subset of our data.

qplot(x = friend_count, data = subset(pf, !is.na(gender), binwidth = 10)) +
  scale_x_continuous(limits = c(0,1000), breaks = seq(0, 1000, 50)) +
  facet_wrap(~gender)
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Warning: Removed 2949 rows containing non-finite values (stat_bin).
## Warning: Removed 4 rows containing missing values (geom_bar).

Understand how many males and females are there in out data

table(pf$gender)
## 
## female   male 
##  40254  58574
by(pf$friend_count, pf$gender, summary)
## pf$gender: female
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##       0      37      96     242     244    4923 
## -------------------------------------------------------- 
## pf$gender: male
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##       0      27      74     165     182    4917

Understand user tenure

qplot(x = tenure, data = pf, color =I('black'), binwidth = 25,
      fill = I('#099DD9'))
## Warning: Removed 2 rows containing non-finite values (stat_bin).

Plot with labels

qplot(x = tenure/365, data = pf,
      xlab = "Number of years using facebook",
      ylab = "Number of usr in sample",
      color = I('black'),
      fill = I('#F79420')) +
  scale_x_continuous(breaks = seq(1,7,1), lim = c(0,7))
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Warning: Removed 26 rows containing non-finite values (stat_bin).
## Warning: Removed 2 rows containing missing values (geom_bar).

Create histogram of Age vs Number of years using FB

qplot(x = age,
      data = pf,
      xlab = "Age in years",
      ylab = "Number of days using FB",
      color = I('black'),
      fill = I('#F79420')) +
  scale_x_continuous(breaks = seq(1,100,1), lim = c(13,80))
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Warning: Removed 5723 rows containing non-finite values (stat_bin).
## Warning: Removed 2 rows containing missing values (geom_bar).

Another way to do same

qplot(x = age,
      data = pf,
      binwidth = 1,
      xlab = "Age in years",
      ylab = "Number of days using FB",
      color = I('black'),
      fill = I('#F79420'))

#  scale_x_continuous(breaks = seq(1,100,1), lim = c(13,80))

Faceting Friend Count

# What code would you add to create a facet the histogram by gender?
# Add it to the code below.
qplot(x = friend_count, data = pf, binwidth = 10) +
  scale_x_continuous(limits = c(0, 1000),
                     breaks = seq(0, 1000, 50))
## Warning: Removed 2951 rows containing non-finite values (stat_bin).
## Warning: Removed 2 rows containing missing values (geom_bar).


Histogram of Facebook users based on Age

qplot(x = age, data = pf, binwidth = 10) +
  scale_x_continuous(limits = c(12, 89),
                     breaks = seq(0, 100, 5))
## Warning: Removed 4977 rows containing non-finite values (stat_bin).
## Warning: Removed 2 rows containing missing values (geom_bar).

A lot of common statistical techniques, like linear regression assumes a normal distribution.

Therefore we need to convert our distribution to normal, whenever possible

Let us convert friend_count plot to normal distribution.

qplot(x = friend_count, data = pf)
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

summary(pf$friend_count)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##     0.0    31.0    82.0   196.4   206.0  4923.0
# Taking log base 10 
summary(log10(pf$friend_count))
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##    -Inf   1.491   1.914    -Inf   2.314   3.692
# The Min and Mean are -Infinity,
# this is because some values of friend count are zero in data,
# Therefore log10 0 tends to Infinity
# To avoid this we add 1 to every value in friend count

summary(log10(pf$friend_count + 1))
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   0.000   1.505   1.919   1.868   2.316   3.692
ggplot(data = pf, aes(x = friend_count)) +
  geom_histogram() +
  scale_x_sqrt()
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

# facet_wrap(~friend_count)

Install gridExtra to plot 3 graphs on same page

# install.packages('gridExtra') # Commented package install, to knit HTML
library(gridExtra)
## Warning: package 'gridExtra' was built under R version 3.5.2
plot_normal = ggplot(data = pf, aes(x = friend_count)) +
  geom_histogram(binwidth = 10) +
  scale_x_continuous(limits = c(0,1000))


plot_log = ggplot(data = pf, aes(x = friend_count)) +
  geom_histogram() +
  scale_x_log10()

plot_sqrt = ggplot(data = pf, aes(x = friend_count)) +
  geom_histogram() +
  scale_x_sqrt()

# Arrange multiple plots on one graph
grid.arrange(plot_normal, plot_log, plot_sqrt, ncol=2)
## Warning: Removed 2951 rows containing non-finite values (stat_bin).
## Warning: Removed 2 rows containing missing values (geom_bar).
## Warning: Transformation introduced infinite values in continuous x-axis
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Warning: Removed 1962 rows containing non-finite values (stat_bin).
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

Frequency polygon using ggplot

ggplot(aes(x = friend_count, y = ..count../sum(..count..)),
       data = subset(pf, !is.na(gender))) +
  geom_freqpoly(aes(color = gender), binwidth=10) +
  scale_x_continuous(limits = c(0, 1000), breaks = seq(0, 1000, 50)) +
  xlab('Friend Count') +
  ylab('Proportion of users with that friend count')
## Warning: Removed 2949 rows containing non-finite values (stat_bin).
## Warning: Removed 4 rows containing missing values (geom_path).

Use frequency polygon to determine which gender makes more likes on WWW. Make adjustment to limits

and breaks on x-axis until you are satisfied.

summary(pf)
##      userid             age            dob_day         dob_year   
##  Min.   :1000008   Min.   : 13.00   Min.   : 1.00   Min.   :1900  
##  1st Qu.:1298806   1st Qu.: 20.00   1st Qu.: 7.00   1st Qu.:1963  
##  Median :1596148   Median : 28.00   Median :14.00   Median :1985  
##  Mean   :1597045   Mean   : 37.28   Mean   :14.53   Mean   :1976  
##  3rd Qu.:1895744   3rd Qu.: 50.00   3rd Qu.:22.00   3rd Qu.:1993  
##  Max.   :2193542   Max.   :113.00   Max.   :31.00   Max.   :2000  
##                                                                   
##    dob_month         gender          tenure        friend_count   
##  Min.   : 1.000   female:40254   Min.   :   0.0   Min.   :   0.0  
##  1st Qu.: 3.000   male  :58574   1st Qu.: 226.0   1st Qu.:  31.0  
##  Median : 6.000   NA's  :  175   Median : 412.0   Median :  82.0  
##  Mean   : 6.283                  Mean   : 537.9   Mean   : 196.4  
##  3rd Qu.: 9.000                  3rd Qu.: 675.0   3rd Qu.: 206.0  
##  Max.   :12.000                  Max.   :3139.0   Max.   :4923.0  
##                                  NA's   :2                        
##  friendships_initiated     likes         likes_received    
##  Min.   :   0.0        Min.   :    0.0   Min.   :     0.0  
##  1st Qu.:  17.0        1st Qu.:    1.0   1st Qu.:     1.0  
##  Median :  46.0        Median :   11.0   Median :     8.0  
##  Mean   : 107.5        Mean   :  156.1   Mean   :   142.7  
##  3rd Qu.: 117.0        3rd Qu.:   81.0   3rd Qu.:    59.0  
##  Max.   :4144.0        Max.   :25111.0   Max.   :261197.0  
##                                                            
##   mobile_likes     mobile_likes_received   www_likes       
##  Min.   :    0.0   Min.   :     0.00     Min.   :    0.00  
##  1st Qu.:    0.0   1st Qu.:     0.00     1st Qu.:    0.00  
##  Median :    4.0   Median :     4.00     Median :    0.00  
##  Mean   :  106.1   Mean   :    84.12     Mean   :   49.96  
##  3rd Qu.:   46.0   3rd Qu.:    33.00     3rd Qu.:    7.00  
##  Max.   :25111.0   Max.   :138561.00     Max.   :14865.00  
##                                                            
##  www_likes_received 
##  Min.   :     0.00  
##  1st Qu.:     0.00  
##  Median :     2.00  
##  Mean   :    58.57  
##  3rd Qu.:    20.00  
##  Max.   :129953.00  
## 
ggplot(aes(x = www_likes, y = log10(..count..)),
       data = subset(pf, !is.na(gender))) +
  geom_freqpoly(aes(color = gender), binwidth=50) +
  scale_x_continuous(limits = c(0, 600), breaks = seq(0, 1000, 50)) +
  xlab('www likes') +
  ylab('Proportion of users with that friend count')
## Warning: Removed 1851 rows containing non-finite values (stat_bin).
## Warning: Removed 4 rows containing missing values (geom_path).

Likes on the Web [Another solution]

qplot(x = www_likes, data = subset(pf, !is.na(gender)),
      geom = 'freqpoly', color = gender) +
        scale_x_continuous() + 
        scale_x_log10()
## Scale for 'x' is already present. Adding another scale for 'x', which
## will replace the existing scale.
## Warning: Transformation introduced infinite values in continuous x-axis
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Warning: Removed 60935 rows containing non-finite values (stat_bin).

What’s the www_likes count for males?

males_pop <- subset(pf, ( gender != 'female')  )

print(males_pop)
##        userid age dob_day dob_year dob_month gender tenure friend_count
## 1     2094382  14      19     1999        11   male    266            0
## 3     2083884  14      16     1999        11   male     13            0
## 5     1733186  14       4     1999        12   male     82            0
## 6     1524765  14       1     1999        12   male     15            0
## 7     1136133  13      14     2000         1   male     12            0
## 9     1365174  13       1     2000         1   male     81            0
## 10    1712567  13       2     2000         2   male    171            0
## 11    1612453  13      22     2000         2   male     98            0
## 12    2104073  13       1     2000         2   male     55            0
## 13    1918584  13       5     2000         3   male    106            0
## 14    1704433  13      21     2000         3   male     61            0
## 20    1020296  13      13     2000         8   male      9            0
## 23    1514978  13       2     2000         9   male      0            0
## 24    1708962  15      17     1998        11   male     98            0
## 25    1098955  15       3     1998        11   male    100            0
## 26    1001243  15      11     1998        11   male     28            0
## 27    2113084  15      24     1998        11   male     52            0
## 28    2163454  15      15     1998        11   male      0            0
## 29    1670750  15      28     1998        12   male     24            0
## 30    1041376  15      11     1998        12   male     41            0
## 31    1762274  15      10     1998        12   male     17            0
## 32    1903650  14      16     1999         1   male    165            0
## 33    2087235  14      14     1999         1   male     15            0
## 35    1459785  14       1     1999         1   male    478            0
## 36    1215208  14       1     1999         1   male    170            0
## 37    1255528  14      20     1999         2   male    266            0
## 38    1390333  14      19     1999         2   male    227            0
## 39    1570689  14      17     1999         2   male     13            0
## 40    1197377  14       1     1999         2   male    111            0
## 42    1549614  14      16     1999         3   male    271            0
## 44    2091823  14      21     1999         3   male     23            0
## 46    1784528  14       8     1999         3   male      0            0
## 47    1842851  14      22     1999         4   male    258            0
## 50    1443541  14      21     1999         4   male     30            0
## 51    1927282  14       7     1999         5   male    242            0
## 53    2188851  14      20     1999         5   male      0            0
## 55    1599485  14       3     1999         6   male      0            0
## 56    2157419  14      19     1999         7   male     93            0
## 57    1264260  14      11     1999         7   male     18            0
## 58    1123633  14      28     1999         7   male     12            0
## 59    2045259  14      14     1999         7   male      6            0
## 60    1712642  14       9     1999         9   male    178            0
## 61    1304645  14       6     1999         9   male     24            0
## 62    1287843  14      14     1999         9   male     14            0
## 63    1094094  14      31     1999        10   male    214            0
## 64    1201176  14      17     1999        10   male     84            0
## 68    2163813  16      20     1997        11   male     20            0
## 70    1732320  16      17     1997        12   male     34            0
## 72    1402504  16      16     1997        12   male     30            0
## 73    1469691  16       9     1997        12   male     17            0
## 74    1820036  15      25     1998         1   male    340            0
## 75    1922550  15       3     1998         1   male    338            0
## 76    1450870  15      20     1998         1   male    279            0
## 77    2044883  15      27     1998         1   male    179            0
## 78    2055501  15      11     1998         1   male     25            0
## 79    1574525  15      14     1998         1   male     10            0
## 80    1460963  15      23     1998         1   male      6            0
## 81    1648391  15       2     1998         2   male    503            0
## 82    2162779  15      19     1998         2   male    316            0
## 83    1105499  15       3     1998         2   male     90            0
## 84    1654852  15      18     1998         2   male    221            0
## 86    2113685  15       7     1998         3   male    282            0
## 88    1962161  15       2     1998         3   male     45            0
## 89    1605442  15      19     1998         3   male     24            0
## 90    2166096  15      12     1998         3   male      9            0
## 92    1232281  15      21     1998         4   male     23            0
## 93    1328833  15      25     1998         4   male      7            0
## 94    1288621  15      15     1998         4   male      3            0
## 95    1129704  15       2     1998         5   male    347            0
## 96    1126847  15       5     1998         5   male     89            0
## 98    2190921  15      17     1998         5   male     21            0
## 99    1496299  15      30     1998         6   male     63            0
## 101   1314465  15       4     1998         6   male     14            0
## 102   1832374  15      20     1998         7   male     73            0
## 104   1012962  15       6     1998         7   male      4            0
## 105   1294086  15      17     1998         8   male    661            0
## 107   1859444  15      30     1998         8   male    223            0
## 108   1757068  15      22     1998         8   male     22            0
## 110   1536686  15      18     1998         9   male     37            0
## 111   2070224  15      12     1998        10   male     18            0
## 112   1608131  15       1     1998        10   male     27            0
## 113   1483131  17       2     1996        11   male     21            0
## 115   1703844  17      27     1996        11   male     12            0
## 116   1695626  17      20     1996        12   male    764            0
## 117   1054620  17      31     1996        12   male     22            0
## 119   1174983  16       2     1997         1   male    290            0
## 120   1300831  16      26     1997         1   male     29            0
## 122   1712570  16      17     1997         1   male      0            0
## 123   1505398  16       1     1997         1   male    108            0
## 124   2071007  16       1     1997         1   male     29            0
## 125   1387870  16      16     1997         2   male    264            0
## 126   1997182  16       4     1997         3   male    363            0
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## 128   1020864  16      15     1997         4   male    312            0
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## 136   1505097  16      12     1997         6   male    142            0
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## 138   1430230  16      22     1997         7   male    147            0
## 140   1096123  16      17     1997         7   male      5            0
## 141   1733413  16      29     1997         8   male    589            0
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## 148   1637546  16       9     1997         9   male    245            0
## 151   1930035  16       8     1997        10   male     81            0
## 153   1935024  16      10     1997        10   male      3            0
## 154   1590837  18      30     1995        11   male    587            0
## 155   1124403  18      13     1995        11   male    577            0
## 156   1364002  18      27     1995        11   male     80            0
## 158   1331161  18      27     1995        12   male    715            0
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## 162   2115759  18      13     1995        12   male     25            0
## 165   1787586  18       1     1995        12   male      0            0
## 167   1217755  17       1     1996         1   male    465            0
## 168   1236697  17       1     1996         1   male      2            0
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## 179   1829874  17      12     1996         5   male    175            0
## 180   1992636  17      13     1996         6   male    379            0
## 182   2014775  17      11     1996         6   male     14            0
## 183   1258751  17       5     1996         7   male    671            0
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##  [ reached getOption("max.print") -- omitted 51908 rows ]
library(plyr)
## Warning: package 'plyr' was built under R version 3.5.2
names(pf)
##  [1] "userid"                "age"                  
##  [3] "dob_day"               "dob_year"             
##  [5] "dob_month"             "gender"               
##  [7] "tenure"                "friend_count"         
##  [9] "friendships_initiated" "likes"                
## [11] "likes_received"        "mobile_likes"         
## [13] "mobile_likes_received" "www_likes"            
## [15] "www_likes_received"
# We count number of males usign count from plyr
count(males_pop, vars = "gender")
##   gender  freq
## 1   male 58574
# Which gender has more www_likes?
temp_var <- count(males_pop, c("gender", "www_likes"))

temp_var$frequency_into_likes <- temp_var$www_likes * temp_var$freq

# We can find likes per gender using by() function
?by
## starting httpd help server ... done
by(pf$www_likes, pf$gender, sum)
## pf$gender: female
## [1] 3507665
## -------------------------------------------------------- 
## pf$gender: male
## [1] 1430175

Using BOX PLOTS

# Tradiation histogram
qplot(x = friend_count, data = subset(pf, !is.na(gender)),
      binwidth = 25 ) +
  scale_x_continuous(limits = c(0,1000), breaks = seq(0, 1000, 50)) + 
  facet_wrap(~gender)
## Warning: Removed 2949 rows containing non-finite values (stat_bin).
## Warning: Removed 4 rows containing missing values (geom_bar).

# Box plot attempt 1
qplot(x = gender, y = friend_count,
      data = subset(pf, !is.na(gender)),
      geom = 'boxplot'
      )

?subset

# Box plot attempt 2 => Focus on users with friend_count from 0 - 1000
qplot(x = gender, y = friend_count,
      data = subset(pf, friend_count >= 0 | friend_count >= 1000 ),
      geom = 'boxplot'
      )

# When we use ylim, we actually remove data points from our calculation
qplot(x = gender, y = friend_count,
      data = subset(pf, !is.na(gender)),
      geom = 'boxplot',
      ylim = c(0,1000)
      )
## Warning: Removed 2949 rows containing non-finite values (stat_boxplot).

# Similar plot can be drawn using scale_y_continuous, this also remoes data points from our calculation
qplot(x = gender, y = friend_count,
      data = subset(pf, !is.na(gender)),
      geom = 'boxplot') +
      scale_y_continuous(limits = c(0,1000))
## Warning: Removed 2949 rows containing non-finite values (stat_boxplot).

# We can use coord_cartesian, this does not removes data points from our calculation
qplot(x = gender, y = friend_count,
      data = subset(pf, !is.na(gender)),
      geom = 'boxplot') +
      coord_cartesian(ylim = c(0,1000))

Who initiated more friendships in general

names(pf)

by(pf$friendships_initiated, pf$gender, summary)
## pf$gender: female
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##     0.0    19.0    49.0   113.9   124.8  3654.0 
## -------------------------------------------------------- 
## pf$gender: male
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##     0.0    15.0    44.0   103.1   111.0  4144.0

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