Intro to R:Data dive 3

Data set-English Premier league

library(tidyverse)
## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ dplyr     1.1.2     ✔ readr     2.1.4
## ✔ forcats   1.0.0     ✔ stringr   1.5.0
## ✔ ggplot2   3.4.3     ✔ tibble    3.2.1
## ✔ lubridate 1.9.2     ✔ tidyr     1.3.0
## ✔ purrr     1.0.2     
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ dplyr::filter() masks stats::filter()
## ✖ dplyr::lag()    masks stats::lag()
## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors

importing data set

data <-read.csv('C:/Downloads/final_dataset.csv')
colnames(data)
##  [1] "X"             "Date"          "HomeTeam"      "AwayTeam"     
##  [5] "FTHG"          "FTAG"          "FTR"           "HTGS"         
##  [9] "ATGS"          "HTGC"          "ATGC"          "HTP"          
## [13] "ATP"           "HM1"           "HM2"           "HM3"          
## [17] "HM4"           "HM5"           "AM1"           "AM2"          
## [21] "AM3"           "AM4"           "AM5"           "MW"           
## [25] "HTFormPtsStr"  "ATFormPtsStr"  "HTFormPts"     "ATFormPts"    
## [29] "HTWinStreak3"  "HTWinStreak5"  "HTLossStreak3" "HTLossStreak5"
## [33] "ATWinStreak3"  "ATWinStreak5"  "ATLossStreak3" "ATLossStreak5"
## [37] "HTGD"          "ATGD"          "DiffPts"       "DiffFormPts"
# create random samples
set.seed(123)

creating sample datasets from the main dataset

sample_1 <- data[sample(nrow(data), nrow(data) * 0.5), ]
sample_2 <- data[sample(nrow(data), nrow(data) * 0.5), ]
sample_3 <- data[sample(nrow(data), nrow(data) * 0.5), ]
sample_4 <- data[sample(nrow(data), nrow(data) * 0.5), ]
sample_5 <- data[sample(nrow(data), nrow(data) * 0.5), ]
sample_6 <- data[sample(nrow(data), nrow(data) * 0.5), ]
colnames(sample_1)
##  [1] "X"             "Date"          "HomeTeam"      "AwayTeam"     
##  [5] "FTHG"          "FTAG"          "FTR"           "HTGS"         
##  [9] "ATGS"          "HTGC"          "ATGC"          "HTP"          
## [13] "ATP"           "HM1"           "HM2"           "HM3"          
## [17] "HM4"           "HM5"           "AM1"           "AM2"          
## [21] "AM3"           "AM4"           "AM5"           "MW"           
## [25] "HTFormPtsStr"  "ATFormPtsStr"  "HTFormPts"     "ATFormPts"    
## [29] "HTWinStreak3"  "HTWinStreak5"  "HTLossStreak3" "HTLossStreak5"
## [33] "ATWinStreak3"  "ATWinStreak5"  "ATLossStreak3" "ATLossStreak5"
## [37] "HTGD"          "ATGD"          "DiffPts"       "DiffFormPts"

Finding outliers in sample1

data <- sample_1

column_name <- "ATGS"

# IQR for ATGS column
Q1 <- quantile(data[["ATGS"]], 0.25)
Q3 <- quantile(data[["ATGS"]], 0.75)
IQR <- Q3 - Q1

#threshold to identify outliers
threshold <- 1

#outliers
outliers <- data[data[["ATGS"]] < (Q1 - threshold * IQR) | data[["ATGS"]] > (Q3 + threshold * IQR), ]

(outliers)
##         X       Date       HomeTeam    AwayTeam FTHG FTAG FTR HTGS ATGS HTGC
## 3004 3003   19/04/08         Fulham   Liverpool    0    2  NH   32   60   56
## 1134 1133 11/05/2003        Chelsea   Liverpool    2    1   H   66   60   37
## 6387 6386   08/04/17          Stoke   Liverpool    1    2  NH   33   64   44
## 2244 2243   17/04/06      Tottenham  Man United    1    2  NH   49   66   33
## 712   711   06/04/02      Leicester  Man United    0    1  NH   24   82   58
## 6056 6055   02/05/16        Chelsea   Tottenham    2    2  NH   55   65   48
## 4927 4926   12/05/13          Stoke   Tottenham    1    2  NH   32   63   42
## 3799 3798   09/05/10       West Ham    Man City    1    1  NH   46   72   65
## 2211 2210   01/04/06         Bolton  Man United    1    2  NH   43   62   35
## 4903 4902   27/04/13          Wigan   Tottenham    2    2  NH   39   60   62
## 3786 3785   02/05/10     Sunderland  Man United    0    1  NH   47   81   53
## 4489 4488   02/04/12      Blackburn  Man United    0    2  NH   43   74   62
## 3696 3695   06/03/10         Wolves  Man United    0    1  NH   21   63   45
## 758   757   11/05/02    Southampton   Newcastle    3    1   H   43   73   53
## 6460 6459   21/05/17        Watford    Man City    0    5  NH   40   75   63
## 379   378   19/05/01    Southampton     Arsenal    3    2   H   37   61   46
## 2269 2268   04/05/06       Man City     Arsenal    1    3  NH   42   61   43
## 4546 4545   06/05/12      Newcastle    Man City    0    2  NH   55   88   46
## 3769 3768   24/04/10        Arsenal    Man City    0    0  NH   76   69   36
## 4559 4558   13/05/12      West Brom     Arsenal    2    3  NH   43   71   49
## 6836 6835   13/05/18      Newcastle     Chelsea    3    0   H   36   62   47
## 6431 6430   06/05/17        Swansea     Everton    1    0   H   40   60   69
## 6767 6766   31/03/18        Everton    Man City    1    3  NH   35   85   49
## 3727 3726   24/03/10     Portsmouth     Chelsea    0    5  NH   28   70   53
## 4910 4909   04/05/13            QPR     Arsenal    0    1  NH   29   65   56
## 4105 4104   02/04/11       West Ham  Man United    2    4  NH   36   64   49
## 6827 6826   09/05/18      Leicester     Arsenal    3    1   H   49   72   54
## 1458 1457   11/04/04      Newcastle     Arsenal    0    0  NH   45   62   33
## 4173 4172   22/05/11        Everton     Chelsea    1    0   H   50   69   45
## 2647 2646   06/05/07        Arsenal     Chelsea    1    1  NH   62   63   34
## 4085 4084   06/03/11      Liverpool  Man United    3    1   H   36   62   35
## 2278 2277   07/05/06      Newcastle     Chelsea    1    0   H   46   72   42
## 5265 5264   06/04/14       West Ham   Liverpool    1    2  NH   36   88   42
## 5656 5655   26/04/15        Arsenal     Chelsea    0    0  NH   63   65   32
## 5669 5668   04/05/15           Hull     Arsenal    1    3  NH   32   66   45
## 6668 6667   31/12/17 Crystal Palace    Man City    0    0  NH   18   61   32
## 5317 5316   11/05/14    Southampton  Man United    1    1  NH   53   63   45
## 1792 1791   26/02/05    Southampton     Arsenal    1    1  NH   28   63   43
## 6796 6795   18/04/18    Bournemouth  Man United    0    2  NH   41   63   53
## 6052 6051   30/04/16      West Brom    West Ham    0    3  NH   32   60   43
## 1119 1118 27/04/2003      Tottenham  Man United    0    2  NH   50   66   51
## 2989 2988   06/04/08  Middlesbrough  Man United    2    2  NH   28   68   45
## 2265 2264   01/05/06     Sunderland     Arsenal    0    3  NH   23   61   66
## 4861 4860   30/03/13     Sunderland  Man United    0    1  NH   33   70   42
## 4895 4894   21/04/13      Liverpool     Chelsea    2    2  NH   59   66   40
## 5696 5695   24/05/15           Hull  Man United    0    0  NH   33   62   51
## 678   677   16/03/02       West Ham  Man United    3    5  NH   32   69   44
## 721   720   13/04/02          Derby   Newcastle    2    3  NH   30   65   56
## 1499 1498   04/05/04     Portsmouth     Arsenal    1    1  NH   40   69   49
## 6813 6812   29/04/18       West Ham    Man City    1    4  NH   43  102   67
## 3690 3689   27/02/10          Stoke     Arsenal    1    3  NH   26   61   29
## 5629 5628   06/04/15 Crystal Palace    Man City    2    1   H   36   62   41
## 6451 6450   21/05/17        Arsenal     Everton    3    1   H   74   61   43
## 5307 5306   05/05/14 Crystal Palace   Liverpool    3    3  NH   28   96   43
## 6384 6383   08/04/17    Bournemouth     Chelsea    1    3  NH   42   62   54
## 6401 6400   16/04/17     Man United     Chelsea    2    0   H   50   65   24
## 4136 4135   24/04/11         Bolton     Arsenal    2    1   H   48   66   44
## 748   747   29/04/02         Bolton     Arsenal    0    2  NH   43   74   58
## 6714 6713   03/02/18        Burnley    Man City    1    1  NH   20   73   22
## 3756 3755   14/04/10      Tottenham     Arsenal    2    1   H   60   75   33
## 5659 5658   29/04/15      Leicester     Chelsea    1    3  NH   35   65   51
## 6412 6411   26/04/17 Crystal Palace   Tottenham    0    1  NH   46   69   53
## 5232 5231   22/03/14        Cardiff   Liverpool    3    6  NH   22   76   50
## 705   704   01/04/02        Ipswich     Chelsea    0    0  NH   39   60   52
## 743   742   27/04/02        Ipswich  Man United    0    1  NH   41   87   58
## 1140 1139 11/05/2003      West Brom   Newcastle    2    2  NH   27   61   63
## 3373 3372   25/04/09           Hull   Liverpool    1    3  NH   36   63   56
## 1111 1110 26/04/2003         Bolton     Arsenal    2    2  NH   37   73   48
## 369   368   13/05/01    Southampton  Man United    2    1   H   35   77   45
## 2631 2630   28/04/07        Everton  Man United    2    4  NH   46   82   31
## 6777 6776   07/04/18        Everton   Liverpool    0    0  NH   37   73   50
## 6837 6836   13/05/18    Southampton    Man City    0    1  NH   37  105   55
## 1128 1127 03/05/2003       West Ham     Chelsea    1    0   H   39   66   57
## 6795 6794   17/04/18       Brighton   Tottenham    1    1  NH   31   65   46
## 6754 6753   10/03/18     Man United   Liverpool    2    1   H   56   67   22
## 3012 3011   26/04/08        Chelsea  Man United    2    1   H   60   73   24
## 1850 1849   20/04/05        Chelsea     Arsenal    0    0  NH   62   73   12
## 3785 3784   02/05/10      Liverpool     Chelsea    0    2  NH   61   93   33
## 701   700   01/04/02       Charlton     Arsenal    0    3  NH   35   66   38
## 4072 4071   26/02/11          Wigan  Man United    0    4  NH   27   61   45
## 2618 2617   18/04/07       West Ham     Chelsea    1    4  NH   26   60   54
## 6830 6829   10/05/18       West Ham  Man United    0    0  NH   45   67   67
## 4174 4173   22/05/11         Fulham     Arsenal    2    2  NH   47   70   41
## 2596 2595   07/04/07     Portsmouth  Man United    2    1   H   37   74   32
## 3787 3786   03/05/10      Blackburn     Arsenal    2    1   H   38   78   54
## 6422 6421   30/04/17  Middlesbrough    Man City    2    2  NH   24   65   43
## 3797 3796   09/05/10           Hull   Liverpool    0    0  NH   34   61   75
## 639   638   10/02/02       Charlton  Man United    0    2  NH   30   60   30
## 3007 3006   19/04/08          Wigan   Tottenham    1    1  NH   31   63   48
## 6760 6759   12/03/18          Stoke    Man City    0    2  NH   28   83   54
## 350   349   28/04/01  Middlesbrough  Man United    0    2  NH   38   75   40
## 735   734   23/04/02      Blackburn   Newcastle    2    2  NH   47   68   46
## 718   717   10/04/02      Blackburn     Chelsea    0    0  NH   42   60   43
## 1869 1868   30/04/05         Bolton     Chelsea    0    2  NH   44   65   38
## 6072 6071   15/05/16        Chelsea   Leicester    1    1  NH   58   67   52
## 6450 6449   18/05/17      Leicester   Tottenham    1    6  NH   46   73   56
## 2232 2231   15/04/06         Bolton     Chelsea    0    2  NH   43   64   38
## 5316 5315   11/05/14        Norwich     Arsenal    0    2  NH   28   66   60
## 5668 5667   03/05/15      Tottenham    Man City    0    1  NH   55   70   49
## 5295 5294   27/04/14      Liverpool     Chelsea    0    2  NH   96   67   44
## 2657 2656   13/05/07     Portsmouth     Arsenal    0    0  NH   45   63   42
## 694   693   30/03/02          Leeds  Man United    3    4  NH   44   78   30
## 4401 4400   31/01/12        Everton    Man City    1    0   H   22   60   26
## 370   369   15/05/01      Newcastle     Arsenal    0    0  NH   41   61   50
## 371   370   19/05/01       Charlton   Liverpool    0    4  NH   50   67   53
## 3003 3002   19/04/08      Blackburn  Man United    1    1  NH   44   72   42
## 4888 4887   20/04/13         Fulham     Arsenal    0    1  NH   44   64   48
## 6077 6076   15/05/16        Swansea    Man City    1    1  NH   41   70   51
## 4542 4541   06/05/12    Aston Villa   Tottenham    1    1  NH   36   63   50
## 6424 6423   01/05/17        Watford   Liverpool    0    1  NH   37   70   55
## 4157 4156   08/05/11          Stoke     Arsenal    3    1   H   43   68   43
## 5170 5169   29/01/14      Tottenham    Man City    1    5  NH   29   63   26
## 4146 4145   01/05/11        Arsenal  Man United    1    0   H   67   71   36
## 3038 3037   11/05/08      Tottenham   Liverpool    0    2  NH   66   65   59
## 4930 4929   14/05/13        Reading    Man City    0    2  NH   41   62   67
## 1490 1489   01/05/04      Blackburn  Man United    1    0   H   48   61   57
## 3040 3039   11/05/08          Wigan  Man United    0    2  NH   34   78   49
## 5311 5310   11/05/14        Cardiff     Chelsea    1    2  NH   31   69   72
## 1834 1833   09/04/05  Middlesbrough     Arsenal    0    1  NH   45   72   42
## 1488 1487   25/04/04      Tottenham     Arsenal    2    2  NH   42   69   54
## 4508 4507   11/04/12          Wigan  Man United    1    0   H   30   78   57
## 6425 6424   05/05/17       West Ham   Tottenham    1    0   H   44   71   59
## 5631 5630   11/04/15        Burnley     Arsenal    0    1  NH   26   62   49
## 3018 3017   27/04/08        Everton Aston Villa    2    2  NH   50   67   29
##      ATGC       HTP      ATP HM1 HM2 HM3 HM4 HM5 AM1 AM2 AM3 AM4 AM5 MW
## 3004   26 0.7714286 1.885714   W   L   D   L   W   W   D   W   L   W 35
## 1134   39 1.6842105 1.684211   L   D   W   L   W   L   W   W   W   W 38
## 6387   37 1.1612903 1.903226   L   L   D   W   L   W   D   W   W   L 31
## 2244   30 1.7428571 2.171429   W   W   L   W   W   D   W   W   W   W 35
## 712    44 0.6470588 1.970588   L   W   L   D   D   W   L   W   W   D 34
## 6056   26 1.3333333 1.916667   D   W   L   L   W   D   W   W   D   W 36
## 4927   45 1.1081081 1.783784   D   W   W   L   L   D   W   D   W   D 37
## 3799   44 0.8947368 1.736842   L   W   L   W   D   L   W   D   L   W 38
## 2211   29 1.5000000 2.156250   L   L   L   W   W   W   W   W   W   W 32
## 4903   43 0.9142857 1.771429   D   L   L   D   W   D   W   D   W   L 35
## 3786   28 1.1891892 2.135135   W   W   L   W   L   W   W   D   L   W 37
## 4489   27 0.9032258 2.354839   L   W   W   D   L   W   W   W   W   W 31
## 3696   24 0.8571429 2.035714   L   L   W   L   D   L   D   W   W   W 28
## 758    49 1.1052632 1.868421   L   L   D   W   L   W   D   W   W   D 38
## 6460   39 1.0526316 1.973684   L   L   L   L   L   W   W   W   D   D 38
## 379    35 1.2894737 1.842105   W   L   D   L   D   D   W   W   W   L 38
## 2269   28 1.1621622 1.648649   L   W   L   L   L   W   D   W   D   L 37
## 4546   27 1.7567568 2.243243   W   L   W   W   W   W   W   W   W   L 37
## 3769   42 2.0285714 1.771429   L   W   D   W   W   L   W   W   W   L 35
## 4559   47 1.2368421 1.763158   D   D   W   W   L   D   D   D   L   W 38
## 6836   35 1.0789474 1.842105   L   L   L   L   W   D   W   W   W   W 38
## 6431   40 0.8888889 1.611111   D   W   L   L   L   L   D   W   W   D 36
## 6767   20 1.1935484 2.612903   W   L   L   W   L   W   W   W   W   D 31
## 3727   28 0.7096774 2.096774   W   L   L   W   L   D   W   L   W   L 31
## 4910   35 0.6857143 1.800000   L   L   D   L   L   W   D   W   W   W 35
## 4105   30 1.0322581 2.032258   D   W   W   D   L   W   L   L   W   W 31
## 6827   48 1.1891892 1.621622   L   L   D   L   L   W   L   W   L   W 37
## 1458   22 1.5000000 2.406250   W   L   W   L   D   W   D   W   W   W 32
## 4173   32 1.3421053 1.868421   L   W   D   L   W   D   L   W   W   W 38
## 2647   23 1.7837838 2.189189   W   D   W   W   D   D   D   D   W   W 37
## 4085   27 1.3448276 2.068966   L   D   W   W   W   L   W   W   L   W 29
## 2278   21 1.4473684 2.394737   D   W   W   W   W   L   W   W   W   W 38
## 5265   39 1.1212121 2.151515   W   W   L   L   L   W   W   W   W   W 33
## 5656   26 1.9705882 2.264706   D   W   W   W   W   D   W   W   W   W 34
## 5669   33 0.9714286 2.000000   W   W   L   L   L   W   D   W   W   W 35
## 6668   12 0.8571429 2.761905   L   D   W   W   D   W   W   W   W   W 21
## 5317   42 1.4473684 1.657895   W   W   D   L   L   W   L   W   L   W 38
## 1792   31 0.7142857 2.035714   D   D   L   W   L   W   W   L   W   L 28
## 6796   26 1.1176471 2.088235   D   D   W   L   D   L   W   W   W   W 34
## 6052   43 1.1388889 1.638889   D   L   L   L   D   W   W   D   D   D 36
## 1119   32 1.3888889 2.055556   W   L   D   W   L   W   D   W   W   W 36
## 2989   15 1.0303030 2.303030   L   W   D   D   L   W   W   W   W   W 33
## 2265   28 0.3243243 1.648649   L   L   L   D   D   W   D   W   D   L 37
## 4861   31 1.0000000 2.483871   D   L   D   L   L   W   W   W   W   W 31
## 4895   35 1.4705882 1.823529   D   D   W   L   W   D   W   W   L   W 34
## 5696   37 0.8947368 1.815789   L   L   L   W   W   D   W   L   L   L 38
## 678    37 1.2333333 1.933333   W   L   W   L   W   D   W   W   W   W 30
## 721    46 0.8285714 1.828571   L   L   L   L   W   W   D   D   W   D 35
## 1499   24 1.1388889 2.305556   D   W   W   W   D   D   D   W   D   W 36
## 6813   26 0.9722222 2.583333   L   L   D   D   W   W   W   W   L   W 36
## 3690   30 1.2592593 1.925926   W   D   D   W   D   W   L   L   D   W 27
## 5629   28 1.1612903 1.967742   W   W   L   W   L   W   L   W   L   W 31
## 6451   41 1.8947368 1.605263   W   W   W   W   L   W   L   L   D   W 38
## 5307   46 1.1621622 2.162162   L   W   W   W   W   L   W   W   W   W 37
## 6384   24 1.0967742 2.322581   D   W   W   D   L   W   L   W   W   W 31
## 6401   27 1.9090909 2.272727   W   W   W   D   D   L   W   W   L   W 33
## 4136   34 1.3529412 1.882353   W   W   L   L   W   D   D   W   D   D 34
## 748    33 1.0810811 2.189189   L   D   W   L   W   W   W   W   W   W 37
## 6714   18 1.3461538 2.615385   D   L   L   L   D   W   W   L   W   D 26
## 3756   34 1.7941176 2.088235   W   L   W   W   W   W   D   W   W   W 34
## 5659   26 0.9117647 2.264706   W   W   W   W   L   D   W   W   W   W 34
## 6412   22 1.1176471 2.176471   W   D   W   L   W   W   W   W   W   W 34
## 5232   35 0.8333333 2.066667   W   L   L   D   L   W   W   W   W   W 30
## 705    32 0.9696970 1.696970   L   D   D   L   L   W   L   W   W   W 33
## 743    44 0.9729730 2.054054   W   L   L   D   L   W   W   W   W   L 37
## 1140   46 0.6578947 1.789474   D   L   L   W   L   W   W   D   L   L 38
## 3373   25 1.0000000 2.088235   L   L   D   L   D   D   W   W   W   W 34
## 1111   38 1.0833333 2.000000   D   W   L   W   W   D   W   D   D   W 36
## 369    26 1.2432432 2.162162   L   D   L   D   L   L   W   D   W   W 37
## 2631   26 1.5000000 2.361111   L   W   D   W   D   W   D   W   L   W 36
## 6777   34 1.2500000 1.968750   W   W   L   L   W   W   L   W   W   W 32
## 6837   27 0.9473684 2.552632   W   D   W   D   L   W   D   W   W   W 38
## 1128   36 1.0270270 1.729730   W   W   L   D   D   D   W   L   W   W 37
## 6795   30 1.0294118 1.970588   L   D   L   L   W   L   W   W   W   W 34
## 6754   32 2.0666667 2.000000   W   W   L   W   L   W   W   W   D   W 30
## 3012   19 2.1666667 2.250000   W   D   W   W   W   D   W   D   W   W 36
## 1850   33 2.4545455 2.121212   D   W   W   W   W   W   W   W   W   D 33
## 3785   32 1.6756757 2.162162   W   W   D   D   W   W   L   W   W   W 37
## 701    32 1.2424242 2.090909   L   L   W   D   W   W   W   W   W   W 33
## 4072   25 0.9642857 2.142857   D   W   D   L   L   W   W   L   W   W 28
## 2618   20 0.8529412 2.294118   L   W   W   W   L   W   W   W   W   W 34
## 6830   28 1.0270270 2.081081   W   L   L   D   D   L   W   W   L   W 37
## 4174   41 1.2631579 1.763158   W   L   W   W   D   L   L   W   L   D 38
## 2596   21 1.3437500 2.437500   D   D   L   L   W   W   W   W   W   W 32
## 3787   39 1.1891892 1.945946   D   L   D   D   W   D   L   L   W   D 37
## 6422   37 0.7714286 1.885714   W   L   L   D   L   D   D   W   W   L 35
## 3797   35 0.7631579 1.631579   D   L   L   D   L   L   W   W   D   D 38
## 639    34 1.2692308 1.846154   D   W   L   L   W   W   L   W   W   W 26
## 3007   57 1.0000000 1.171429   D   W   L   L   W   D   D   L   W   D 35
## 6760   20 0.9000000 2.600000   D   D   D   L   D   W   W   W   D   W 30
## 350    25 1.0000000 2.200000   L   W   D   L   W   D   W   W   L   W 35
## 735    46 1.1111111 1.861111   D   W   D   W   L   W   W   D   D   W 36
## 718    32 1.0588235 1.676471   D   W   L   L   W   D   W   L   W   W 34
## 1869   13 1.5142857 2.428571   D   W   W   L   W   W   D   D   W   W 35
## 6072   35 1.2894737 2.105263   D   L   D   W   L   W   D   W   D   W 38
## 6450   24 1.1621622 2.162162   L   W   W   L   D   W   L   W   W   W 37
## 2232   20 1.4117647 2.411765   L   L   L   L   L   W   D   W   L   W 34
## 5316   41 0.8684211 2.000000   D   L   L   L   L   W   W   W   W   L 38
## 5668   36 1.6571429 1.914286   D   W   L   D   W   W   W   L   L   W 35
## 5295   26 2.2222222 2.083333   W   W   W   W   W   L   W   W   L   W 36
## 2657   35 1.3947368 1.763158   L   W   D   W   L   D   W   D   W   W 38
## 694    40 1.6875000 2.000000   W   W   W   D   D   W   W   D   W   W 32
## 4401   18 1.1304348 2.347826   D   D   L   L   W   W   W   W   L   D 23
## 370    35 1.2702703 1.864865   L   D   W   D   W   W   W   W   L   W 37
## 371    39 1.3684211 1.736842   L   W   W   D   L   D   W   W   W   W 38
## 3003   18 1.4571429 2.285714   L   D   D   W   L   W   D   W   W   W 35
## 4888   35 1.2121212 1.787879   D   L   W   W   D   W   W   W   W   L 33
## 6077   40 1.2105263 1.710526   W   W   L   L   W   D   L   W   D   W 38
## 4542   40 1.0000000 1.756757   D   L   D   L   D   W   W   L   L   D 37
## 6424   42 1.1428571 1.885714   L   L   W   L   W   L   W   W   D   W 35
## 4157   36 1.1944444 1.861111   D   W   D   L   D   W   L   D   D   W 36
## 5170   25 1.8695652 2.173913   W   W   W   W   D   W   W   W   W   W 23
## 4146   32 1.8285714 2.085714   L   D   D   W   D   W   D   W   W   W 35
## 3038   28 1.2105263 1.921053   W   D   D   D   D   W   D   W   W   D 38
## 4930   31 0.7567568 2.027027   W   D   L   D   L   W   D   W   L   W 37
## 1490   32 1.0571429 2.028571   W   W   L   L   L   W   L   W   W   D 35
## 3040   22 1.0526316 2.210526   W   D   D   D   W   W   L   D   W   D 38
## 5311   26 0.7894737 2.078947   L   L   D   W   L   D   W   L   W   W 38
## 1834   33 1.4062500 2.093750   W   L   L   D   D   W   W   W   D   W 32
## 1488   24 1.0857143 2.342857   L   D   L   L   L   D   W   D   W   D 35
## 4508   27 0.8484848 2.393939   L   W   W   D   D   W   W   W   W   W 33
## 6425   22 1.0857143 2.200000   D   D   W   L   L   W   W   W   W   W 35
## 5631   32 0.8125000 1.968750   D   L   W   L   L   W   W   W   W   W 32
## 3018   45 1.6944444 1.611111   L   D   W   L   D   W   W   W   L   L 36
##      HTFormPtsStr ATFormPtsStr HTFormPts ATFormPts HTWinStreak3 HTWinStreak5
## 3004        WLDLW        WDWLW         7        10            0            0
## 1134        LDWLW        LWWWW         7        12            0            0
## 6387        LLDWL        WDWWL         4        10            0            0
## 2244        WWLWW        DWWWW        12        13            0            0
## 712         LWLDD        WLWWD         5        10            0            0
## 6056        DWLLW        DWWDW         7        11            0            0
## 4927        DWWLL        DWDWD         7         9            0            0
## 3799        LWLWD        LWDLW         7         7            0            0
## 2211        LLLWW        WWWWW         6        15            0            0
## 4903        DLLDW        DWDWL         5         8            0            0
## 3786        WWLWL        WWDLW         9        10            0            0
## 4489        LWWDL        WWWWW         7        15            0            0
## 3696        LLWLD        LDWWW         4        10            0            0
## 758         LLDWL        WDWWD         4        11            0            0
## 6460        LLLLL        WWWDD         0        11            0            0
## 379         WLDLD        DWWWL         5        10            0            0
## 2269        LWLLL        WDWDL         3         8            0            0
## 4546        WLWWW        WWWWL        12        12            1            0
## 3769        LWDWW        LWWWL        10         9            0            0
## 4559        DDWWL        DDDLW         8         6            0            0
## 6836        LLLLW        DWWWW         3        13            0            0
## 6431        DWLLL        LDWWD         4         8            0            0
## 6767        WLLWL        WWWWD         6        13            0            0
## 3727        WLLWL        DWLWL         6         7            0            0
## 4910        LLDLL        WDWWW         1        13            0            0
## 4105        DWWDL        WLLWW         8         9            0            0
## 6827        LLDLL        WLWLW         1         9            0            0
## 1458        WLWLD        WDWWW         7        13            0            0
## 4173        LWDLW        DLWWW         7        10            0            0
## 2647        WDWWD        DDDWW        11         9            0            0
## 4085        LDWWW        LWWLW        10         9            1            0
## 2278        DWWWW        LWWWW        13        12            1            0
## 5265        WWLLL        WWWWW         6        15            0            0
## 5656        DWWWW        DWWWW        13        13            1            0
## 5669        WWLLL        WDWWW         6        13            0            0
## 6668        LDWWD        WWWWW         8        15            0            0
## 5317        WWDLL        WLWLW         7         9            0            0
## 1792        DDLWL        WWLWL         5         9            0            0
## 6796        DDWLD        LWWWW         6        12            0            0
## 6052        DLLLD        WWDDD         2         9            0            0
## 1119        WLDWL        WDWWW         7        13            0            0
## 2989        LWDDL        WWWWW         5        15            0            0
## 2265        LLLDD        WDWDL         2         8            0            0
## 4861        DLDLL        WWWWW         2        15            0            0
## 4895        DDWLW        DWWLW         8        10            0            0
## 5696        LLLWW        DWLLL         6         4            0            0
## 678         WLWLW        DWWWW         9        13            0            0
## 721         LLLLW        WDDWD         3         9            0            0
## 1499        DWWWD        DDWDW        11         9            0            0
## 6813        LLDDW        WWWLW         5        12            0            0
## 3690        WDDWD        WLLDW         9         7            0            0
## 5629        WWLWL        WLWLW         9         9            0            0
## 6451        WWWWL        WLLDW        12         7            0            0
## 5307        LWWWW        LWWWW        12        12            1            0
## 6384        DWWDL        WLWWW         8        12            0            0
## 6401        WWWDD        LWWLW        11         9            0            0
## 4136        WWLLW        DDWDD         9         7            0            0
## 748         LDWLW        WWWWW         7        15            0            0
## 6714        DLLLD        WWLWD         2        10            0            0
## 3756        WLWWW        WDWWW        12        13            1            0
## 5659        WWWWL        DWWWW        12        13            0            0
## 6412        WDWLW        WWWWW        10        15            0            0
## 5232        WLLDL        WWWWW         4        15            0            0
## 705         LDDLL        WLWWW         2        12            0            0
## 743         WLLDL        WWWWL         4        12            0            0
## 1140        DLLWL        WWDLL         4         7            0            0
## 3373        LLDLD        DWWWW         2        13            0            0
## 1111        DWLWW        DWDDW        10         9            0            0
## 369         LDLDL        LWDWW         2        10            0            0
## 2631        LWDWD        WDWLW         8        10            0            0
## 6777        WWLLW        WLWWW         9        12            0            0
## 6837        WDWDL        WDWWW         8        13            0            0
## 1128        WWLDD        DWLWW         8        10            0            0
## 6795        LDLLW        LWWWW         4        12            0            0
## 6754        WWLWL        WWWDW         9        13            0            0
## 3012        WDWWW        DWDWW        13        11            1            0
## 1850        DWWWW        WWWWD        13        13            1            0
## 3785        WWDDW        WLWWW        11        12            0            0
## 701         LLWDW        WWWWW         7        15            0            0
## 4072        DWDLL        WWLWW         5        12            0            0
## 2618        LWWWL        WWWWW         9        15            0            0
## 6830        WLLDD        LWWLW         5         9            0            0
## 4174        WLWWD        LLWLD        10         4            0            0
## 2596        DDLLW        WWWWW         5        15            0            0
## 3787        DLDDW        DLLWD         6         5            0            0
## 6422        WLLDL        DDWWL         4         8            0            0
## 3797        DLLDL        LWWDD         2         8            0            0
## 639         DWLLW        WLWWW         7        12            0            0
## 3007        DWLLW        DDLWD         7         6            0            0
## 6760        DDDLD        WWWDW         4        13            0            0
## 350         LWDLW        DWWLW         7        10            0            0
## 735         DWDWL        WWDDW         8        11            0            0
## 718         DWLLW        DWLWW         7        10            0            0
## 1869        DWWLW        WDDWW        10        11            0            0
## 6072        DLDWL        WDWDW         5        11            0            0
## 6450        LWWLD        WLWWW         7        12            0            0
## 2232        LLLLL        WDWLW         0        10            0            0
## 5316        DLLLL        WWWWL         1        12            0            0
## 5668        DWLDW        WWLLW         8         9            0            0
## 5295        WWWWW        LWWLW        15         9            1            1
## 2657        LWDWL        DWDWW         7        11            0            0
## 694         WWWDD        WWDWW        11        13            0            0
## 4401        DDLLW        WWWLD         5        10            0            0
## 370         LDWDW        WWWLW         8        12            0            0
## 371         LWWDL        DWWWW         7        13            0            0
## 3003        LDDWL        WDWWW         5        13            0            0
## 4888        DLWWD        WWWWL         8        12            0            0
## 6077        WWLLW        DLWDW         9         8            0            0
## 4542        DLDLD        WWLLD         3         7            0            0
## 6424        LLWLW        LWWDW         6        10            0            0
## 4157        DWDLD        WLDDW         6         8            0            0
## 5170        WWWWD        WWWWW        13        15            0            0
## 4146        LDDWD        WDWWW         6        13            0            0
## 3038        WDDDD        WDWWD         7        11            0            0
## 4930        WDLDL        WDWLW         5        10            0            0
## 1490        WWLLL        WLWWD         6        10            0            0
## 3040        WDDDW        WLDWD         9         8            0            0
## 5311        LLDWL        DWLWW         4        10            0            0
## 1834        WLLDD        WWWDW         5        13            0            0
## 1488        LDLLL        DWDWD         1         9            0            0
## 4508        LWWDD        WWWWW         8        15            0            0
## 6425        DDWLL        WWWWW         5        15            0            0
## 5631        DLWLL        WWWWW         4        15            0            0
## 3018        LDWLD        WWWLL         5         9            0            0
##      HTLossStreak3 HTLossStreak5 ATWinStreak3 ATWinStreak5 ATLossStreak3
## 3004             0             0            0            0             0
## 1134             0             0            1            0             0
## 6387             0             0            0            0             0
## 2244             0             0            1            0             0
## 712              0             0            0            0             0
## 6056             0             0            0            0             0
## 4927             0             0            0            0             0
## 3799             0             0            0            0             0
## 2211             0             0            1            1             0
## 4903             0             0            0            0             0
## 3786             0             0            0            0             0
## 4489             0             0            1            1             0
## 3696             0             0            1            0             0
## 758              0             0            0            0             0
## 6460             1             1            0            0             0
## 379              0             0            0            0             0
## 2269             1             0            0            0             0
## 4546             0             0            0            0             0
## 3769             0             0            0            0             0
## 4559             0             0            0            0             0
## 6836             0             0            1            0             0
## 6431             1             0            0            0             0
## 6767             0             0            0            0             0
## 3727             0             0            0            0             0
## 4910             0             0            1            0             0
## 4105             0             0            0            0             0
## 6827             0             0            0            0             0
## 1458             0             0            1            0             0
## 4173             0             0            1            0             0
## 2647             0             0            0            0             0
## 4085             0             0            0            0             0
## 2278             0             0            1            0             0
## 5265             1             0            1            1             0
## 5656             0             0            1            0             0
## 5669             1             0            1            0             0
## 6668             0             0            1            1             0
## 5317             0             0            0            0             0
## 1792             0             0            0            0             0
## 6796             0             0            1            0             0
## 6052             0             0            0            0             0
## 1119             0             0            1            0             0
## 2989             0             0            1            1             0
## 2265             0             0            0            0             0
## 4861             0             0            1            1             0
## 4895             0             0            0            0             0
## 5696             0             0            0            0             1
## 678              0             0            1            0             0
## 721              0             0            0            0             0
## 1499             0             0            0            0             0
## 6813             0             0            0            0             0
## 3690             0             0            0            0             0
## 5629             0             0            0            0             0
## 6451             0             0            0            0             0
## 5307             0             0            1            0             0
## 6384             0             0            1            0             0
## 6401             0             0            0            0             0
## 4136             0             0            0            0             0
## 748              0             0            1            1             0
## 6714             0             0            0            0             0
## 3756             0             0            1            0             0
## 5659             0             0            1            0             0
## 6412             0             0            1            1             0
## 5232             0             0            1            1             0
## 705              0             0            1            0             0
## 743              0             0            0            0             0
## 1140             0             0            0            0             0
## 3373             0             0            1            0             0
## 1111             0             0            0            0             0
## 369              0             0            0            0             0
## 2631             0             0            0            0             0
## 6777             0             0            1            0             0
## 6837             0             0            1            0             0
## 1128             0             0            0            0             0
## 6795             0             0            1            0             0
## 6754             0             0            0            0             0
## 3012             0             0            0            0             0
## 1850             0             0            0            0             0
## 3785             0             0            1            0             0
## 701              0             0            1            1             0
## 4072             0             0            0            0             0
## 2618             0             0            1            1             0
## 6830             0             0            0            0             0
## 4174             0             0            0            0             0
## 2596             0             0            1            1             0
## 3787             0             0            0            0             0
## 6422             0             0            0            0             0
## 3797             0             0            0            0             0
## 639              0             0            1            0             0
## 3007             0             0            0            0             0
## 6760             0             0            0            0             0
## 350              0             0            0            0             0
## 735              0             0            0            0             0
## 718              0             0            0            0             0
## 1869             0             0            0            0             0
## 6072             0             0            0            0             0
## 6450             0             0            1            0             0
## 2232             1             1            0            0             0
## 5316             1             0            0            0             0
## 5668             0             0            0            0             0
## 5295             0             0            0            0             0
## 2657             0             0            0            0             0
## 694              0             0            0            0             0
## 4401             0             0            0            0             0
## 370              0             0            0            0             0
## 371              0             0            1            0             0
## 3003             0             0            1            0             0
## 4888             0             0            0            0             0
## 6077             0             0            0            0             0
## 4542             0             0            0            0             0
## 6424             0             0            0            0             0
## 4157             0             0            0            0             0
## 5170             0             0            1            1             0
## 4146             0             0            1            0             0
## 3038             0             0            0            0             0
## 4930             0             0            0            0             0
## 1490             1             0            0            0             0
## 3040             0             0            0            0             0
## 5311             0             0            0            0             0
## 1834             0             0            0            0             0
## 1488             1             0            0            0             0
## 4508             0             0            1            1             0
## 6425             0             0            1            1             0
## 5631             0             0            1            1             0
## 3018             0             0            0            0             0
##      ATLossStreak5        HTGD      ATGD     DiffPts DiffFormPts
## 3004             0 -0.68571429 0.9714286 -1.11428571 -0.08571429
## 1134             0  0.76315789 0.5526316  0.00000000 -0.13157895
## 6387             0 -0.35483871 0.8709677 -0.74193548 -0.19354839
## 2244             0  0.45714286 1.0285714 -0.42857143 -0.02857143
## 712              0 -1.00000000 1.1176471 -1.32352941 -0.14705882
## 6056             0  0.19444444 1.0833333 -0.58333333 -0.11111111
## 4927             0 -0.27027027 0.4864865 -0.67567568 -0.05405405
## 3799             0 -0.50000000 0.7368421 -0.84210526  0.00000000
## 2211             0  0.25000000 1.0312500 -0.65625000 -0.28125000
## 4903             0 -0.65714286 0.4857143 -0.85714286 -0.08571429
## 3786             0 -0.16216216 1.4324324 -0.94594595 -0.02702703
## 4489             0 -0.61290323 1.5161290 -1.45161290 -0.25806452
## 3696             0 -0.85714286 1.3928571 -1.17857143 -0.21428571
## 758              0 -0.26315789 0.6315789 -0.76315789 -0.18421053
## 6460             0 -0.60526316 0.9473684 -0.92105263 -0.28947368
## 379              0 -0.23684211 0.6842105 -0.55263158 -0.13157895
## 2269             0 -0.02702703 0.8918919 -0.48648649 -0.13513514
## 4546             0  0.24324324 1.6486486 -0.48648649  0.00000000
## 3769             0  1.14285714 0.7714286  0.25714286  0.02857143
## 4559             0 -0.15789474 0.6315789 -0.52631579  0.05263158
## 6836             0 -0.28947368 0.7105263 -0.76315789 -0.26315789
## 6431             0 -0.80555556 0.5555556 -0.72222222 -0.11111111
## 6767             0 -0.45161290 2.0967742 -1.41935484 -0.22580645
## 3727             0 -0.80645161 1.3548387 -1.38709677 -0.03225806
## 4910             0 -0.77142857 0.8571429 -1.11428571 -0.34285714
## 4105             0 -0.41935484 1.0967742 -1.00000000 -0.03225806
## 6827             0 -0.13513514 0.6486486 -0.43243243 -0.21621622
## 1458             0  0.37500000 1.2500000 -0.90625000 -0.18750000
## 4173             0  0.13157895 0.9736842 -0.52631579 -0.07894737
## 2647             0  0.75675676 1.0810811 -0.40540541  0.05405405
## 4085             0  0.03448276 1.2068966 -0.72413793  0.03448276
## 2278             0  0.10526316 1.3421053 -0.94736842  0.02631579
## 5265             0 -0.18181818 1.4848485 -1.03030303 -0.27272727
## 5656             0  0.91176471 1.1470588 -0.29411765  0.00000000
## 5669             0 -0.37142857 0.9428571 -1.02857143 -0.20000000
## 6668             0 -0.66666667 2.3333333 -1.90476190 -0.33333333
## 5317             0  0.21052632 0.5526316 -0.21052632 -0.05263158
## 1792             0 -0.53571429 1.1428571 -1.32142857 -0.14285714
## 6796             0 -0.35294118 1.0882353 -0.97058824 -0.17647059
## 6052             0 -0.30555556 0.4722222 -0.50000000 -0.19444444
## 1119             0 -0.02777778 0.9444444 -0.66666667 -0.16666667
## 2989             0 -0.51515152 1.6060606 -1.27272727 -0.30303030
## 2265             0 -1.16216216 0.8918919 -1.32432432 -0.16216216
## 4861             0 -0.29032258 1.2580645 -1.48387097 -0.41935484
## 4895             0  0.55882353 0.9117647 -0.35294118 -0.05882353
## 5696             0 -0.47368421 0.6578947 -0.92105263  0.05263158
## 678              0 -0.40000000 1.0666667 -0.70000000 -0.13333333
## 721              0 -0.74285714 0.5428571 -1.00000000 -0.17142857
## 1499             0 -0.25000000 1.2500000 -1.16666667  0.05555556
## 6813             0 -0.66666667 2.1111111 -1.61111111 -0.19444444
## 3690             0 -0.11111111 1.1481481 -0.66666667  0.07407407
## 5629             0 -0.16129032 1.0967742 -0.80645161  0.00000000
## 6451             0  0.81578947 0.5263158  0.28947368  0.13157895
## 5307             0 -0.40540541 1.3513514 -1.00000000  0.00000000
## 6384             0 -0.38709677 1.2258065 -1.22580645 -0.12903226
## 6401             0  0.78787879 1.1515152 -0.36363636  0.06060606
## 4136             0  0.11764706 0.9411765 -0.52941176  0.05882353
## 748              0 -0.40540541 1.1081081 -1.10810811 -0.21621622
## 6714             0 -0.07692308 2.1153846 -1.26923077 -0.30769231
## 3756             0  0.79411765 1.2058824 -0.29411765 -0.02941176
## 5659             0 -0.47058824 1.1470588 -1.35294118 -0.02941176
## 6412             0 -0.20588235 1.3823529 -1.05882353 -0.14705882
## 5232             0 -0.93333333 1.3666667 -1.23333333 -0.36666667
## 705              0 -0.39393939 0.8484848 -0.72727273 -0.30303030
## 743              0 -0.45945946 1.1621622 -1.08108108 -0.21621622
## 1140             0 -0.94736842 0.3947368 -1.13157895 -0.07894737
## 3373             0 -0.58823529 1.1176471 -1.08823529 -0.32352941
## 1111             0 -0.30555556 0.9722222 -0.91666667  0.02777778
## 369              0 -0.27027027 1.3783784 -0.91891892 -0.21621622
## 2631             0  0.41666667 1.5555556 -0.86111111 -0.05555556
## 6777             0 -0.40625000 1.2187500 -0.71875000 -0.09375000
## 6837             0 -0.47368421 2.0526316 -1.60526316 -0.13157895
## 1128             0 -0.48648649 0.8108108 -0.70270270 -0.05405405
## 6795             0 -0.44117647 1.0294118 -0.94117647 -0.23529412
## 6754             0  1.13333333 1.1666667  0.06666667 -0.13333333
## 3012             0  1.00000000 1.5000000 -0.08333333  0.05555556
## 1850             0  1.51515152 1.2121212  0.33333333  0.00000000
## 3785             0  0.75675676 1.6486486 -0.48648649 -0.02702703
## 701              0 -0.09090909 1.0303030 -0.84848485 -0.24242424
## 4072             0 -0.64285714 1.2857143 -1.17857143 -0.25000000
## 2618             0 -0.82352941 1.1764706 -1.44117647 -0.17647059
## 6830             0 -0.59459459 1.0540541 -1.05405405 -0.10810811
## 4174             0  0.15789474 0.7631579 -0.50000000  0.15789474
## 2596             0  0.15625000 1.6562500 -1.09375000 -0.31250000
## 3787             0 -0.43243243 1.0540541 -0.75675676  0.02702703
## 6422             0 -0.54285714 0.8000000 -1.11428571 -0.11428571
## 3797             0 -1.07894737 0.6842105 -0.86842105 -0.15789474
## 639              0  0.00000000 1.0000000 -0.57692308 -0.19230769
## 3007             0 -0.48571429 0.1714286 -0.17142857  0.02857143
## 6760             0 -0.86666667 2.1000000 -1.70000000 -0.30000000
## 350              0 -0.05714286 1.4285714 -1.20000000 -0.08571429
## 735              0  0.02777778 0.6111111 -0.75000000 -0.08333333
## 718              0 -0.02941176 0.8235294 -0.61764706 -0.08823529
## 1869             0  0.17142857 1.4857143 -0.91428571 -0.02857143
## 6072             0  0.15789474 0.8421053 -0.81578947 -0.15789474
## 6450             0 -0.27027027 1.3243243 -1.00000000 -0.13513514
## 2232             0  0.14705882 1.2941176 -1.00000000 -0.29411765
## 5316             0 -0.84210526 0.6578947 -1.13157895 -0.28947368
## 5668             0  0.17142857 0.9714286 -0.25714286 -0.02857143
## 5295             0  1.44444444 1.1388889  0.13888889  0.16666667
## 2657             0  0.07894737 0.7368421 -0.36842105 -0.10526316
## 694              0  0.43750000 1.1875000 -0.31250000 -0.06250000
## 4401             0 -0.17391304 1.8260870 -1.21739130 -0.21739130
## 370              0 -0.24324324 0.7027027 -0.59459459 -0.10810811
## 371              0 -0.07894737 0.7368421 -0.36842105 -0.15789474
## 3003             0  0.05714286 1.5428571 -0.82857143 -0.22857143
## 4888             0 -0.12121212 0.8787879 -0.57575758 -0.12121212
## 6077             0 -0.26315789 0.7894737 -0.50000000  0.02631579
## 4542             0 -0.37837838 0.6216216 -0.75675676 -0.10810811
## 6424             0 -0.51428571 0.8000000 -0.74285714 -0.11428571
## 4157             0  0.00000000 0.8888889 -0.66666667 -0.05555556
## 5170             0  0.13043478 1.6521739 -0.30434783 -0.08695652
## 4146             0  0.88571429 1.1142857 -0.25714286 -0.20000000
## 3038             0  0.18421053 0.9736842 -0.71052632 -0.10526316
## 4930             0 -0.70270270 0.8378378 -1.27027027 -0.13513514
## 1490             0 -0.25714286 0.8285714 -0.97142857 -0.11428571
## 3040             0 -0.39473684 1.4736842 -1.15789474  0.02631579
## 5311             0 -1.07894737 1.1315789 -1.28947368 -0.15789474
## 1834             0  0.09375000 1.2187500 -0.68750000 -0.25000000
## 1488             0 -0.34285714 1.2857143 -1.25714286 -0.22857143
## 4508             0 -0.81818182 1.5454545 -1.54545455 -0.21212121
## 6425             0 -0.42857143 1.4000000 -1.11428571 -0.28571429
## 5631             0 -0.71875000 0.9375000 -1.15625000 -0.34375000
## 3018             0  0.58333333 0.6111111  0.08333333 -0.11111111

Visualization for sample set1

library(ggplot2)

# barplot of the "ATGS" column with outliers highlighted
ggplot(sample_1, aes(y = ATGS)) +
  geom_bar() +
  geom_point(data = outliers, aes(x=1 ,y = ATGS), color = "blue", size = 4) +
  labs(
    title = "Barplot of ATGS with Outliers Highlighted",
    y = "ATGS"
  ) +
  theme_minimal()

finding outliers in sample 2

data <- sample_2

column_name <- "ATGS"

# IQR for the ATGS column
Q1 <- quantile(data[["ATGS"]], 0.25)
Q3 <- quantile(data[["ATGS"]], 0.75)
IQR <- Q3 - Q1

#threshold to identify outliers
threshold <- 1

#Find outliers
outliers <- data[data[["ATGS"]] < (Q1 - threshold * IQR) | data[["ATGS"]] > (Q3 + threshold * IQR), ]

(outliers)
##         X       Date       HomeTeam    AwayTeam FTHG FTAG FTR HTGS ATGS HTGC
## 678   677   16/03/02       West Ham  Man United    3    5  NH   32   69   44
## 5689 5688   18/05/15      West Brom     Chelsea    3    0   H   34   70   47
## 6420 6419   30/04/17        Everton     Chelsea    0    3  NH   60   69   37
## 350   349   28/04/01  Middlesbrough  Man United    0    2  NH   38   75   40
## 4883 4882   14/04/13          Stoke  Man United    0    2  NH   28   73   39
## 6402 6401   16/04/17      West Brom   Liverpool    0    1  NH   39   68   41
## 1869 1868   30/04/05         Bolton     Chelsea    0    2  NH   44   65   38
## 6740 6739   01/03/18        Arsenal    Man City    0    3  NH   51   79   36
## 3409 3408   17/05/09      West Brom   Liverpool    0    2  NH   36   72   65
## 750   749   08/05/02     Man United     Arsenal    0    1  NH   87   74   44
## 6384 6383   08/04/17    Bournemouth     Chelsea    1    3  NH   42   62   54
## 5230 5229   16/03/14     Man United   Liverpool    0    3  NH   46   73   31
## 5294 5293   27/04/14 Crystal Palace    Man City    0    2  NH   28   93   41
## 3003 3002   19/04/08      Blackburn  Man United    1    1  NH   44   72   42
## 5225 5224   15/03/14           Hull    Man City    0    2  NH   30   76   35
## 6791 6790   14/04/18      Tottenham    Man City    1    3  NH   65   93   30
## 6450 6449   18/05/17      Leicester   Tottenham    1    6  NH   46   73   56
## 4861 4860   30/03/13     Sunderland  Man United    0    1  NH   33   70   42
## 1512 1511   15/05/04    Aston Villa  Man United    0    2  NH   48   62   42
## 2267 2266   02/05/06      Blackburn     Chelsea    1    0   H   48   72   42
## 4429 4428   12/02/12    Aston Villa    Man City    0    1  NH   29   63   33
## 3018 3017   27/04/08        Everton Aston Villa    2    2  NH   50   67   29
## 4885 4884   17/04/13         Fulham     Chelsea    0    3  NH   44   64   48
## 6766 6765   31/03/18 Crystal Palace   Liverpool    1    2  NH   28   68   48
## 3400 3399   13/05/09          Wigan  Man United    1    2  NH   32   65   41
## 1834 1833   09/04/05  Middlesbrough     Arsenal    0    1  NH   45   72   42
## 3696 3695   06/03/10         Wolves  Man United    0    1  NH   21   63   45
## 5295 5294   27/04/14      Liverpool     Chelsea    0    2  NH   96   67   44
## 1119 1118 27/04/2003      Tottenham  Man United    0    2  NH   50   66   51
## 6412 6411   26/04/17 Crystal Palace   Tottenham    0    1  NH   46   69   53
## 4556 4555   13/05/12     Sunderland  Man United    0    1  NH   45   88   45
## 3012 3011   26/04/08        Chelsea  Man United    2    1   H   60   73   24
## 5696 5695   24/05/15           Hull  Man United    0    0  NH   33   62   51
## 3720 3719   21/03/10      Blackburn     Chelsea    1    1  NH   31   69   48
## 1071 1070 05/04/2003    Aston Villa     Arsenal    1    1  NH   33   66   37
## 735   734   23/04/02      Blackburn   Newcastle    2    2  NH   47   68   46
## 4173 4172   22/05/11        Everton     Chelsea    1    0   H   50   69   45
## 4934 4933   19/05/13      Newcastle     Arsenal    0    1  NH   45   71   67
## 1850 1849   20/04/05        Chelsea     Arsenal    0    0  NH   62   73   12
## 6833 6832   13/05/18   Huddersfield     Arsenal    0    1  NH   28   73   57
## 5170 5169   29/01/14      Tottenham    Man City    1    5  NH   29   63   26
## 3785 3784   02/05/10      Liverpool     Chelsea    0    2  NH   61   93   33
## 3786 3785   02/05/10     Sunderland  Man United    0    1  NH   47   81   53
## 2657 2656   13/05/07     Portsmouth     Arsenal    0    0  NH   45   63   42
## 4927 4926   12/05/13          Stoke   Tottenham    1    2  NH   32   63   42
## 4536 4535   30/04/12       Man City  Man United    1    0   H   87   86   27
## 5286 5285   20/04/14        Norwich   Liverpool    2    3  NH   26   93   53
## 367   366   08/05/01      Liverpool     Chelsea    2    2  NH   65   64   37
## 6815 6814   04/05/18       Brighton  Man United    1    0   H   32   67   47
## 4938 4937   19/05/13      West Brom  Man United    5    5  NH   48   81   52
## 2649 2648   09/05/07        Chelsea  Man United    0    0  NH   63   83   23
## 1891 1890   15/05/05     Birmingham     Arsenal    2    1   H   38   86   45
## 6437 6436   12/05/17      West Brom     Chelsea    0    1  NH   41   75   45
## 355   354   01/05/01       Bradford   Liverpool    0    2  NH   28   62   63
## 4105 4104   02/04/11       West Ham  Man United    2    4  NH   36   64   49
## 6813 6812   29/04/18       West Ham    Man City    1    4  NH   43  102   67
## 6793 6792   15/04/18      Newcastle     Arsenal    2    1   H   35   62   42
## 2631 2630   28/04/07        Everton  Man United    2    4  NH   46   82   31
## 2232 2231   15/04/06         Bolton     Chelsea    0    2  NH   43   64   38
## 6714 6713   03/02/18        Burnley    Man City    1    1  NH   20   73   22
## 5687 5686   17/05/15     Man United     Arsenal    1    1  NH   61   67   36
## 4508 4507   11/04/12          Wigan  Man United    1    0   H   30   78   57
## 4930 4929   14/05/13        Reading    Man City    0    2  NH   41   62   67
## 6830 6829   10/05/18       West Ham  Man United    0    0  NH   45   67   67
## 721   720   13/04/02          Derby   Newcastle    2    3  NH   30   65   56
## 6754 6753   10/03/18     Man United   Liverpool    2    1   H   56   67   22
## 6837 6836   13/05/18    Southampton    Man City    0    1  NH   37  105   55
## 5185 5184   08/02/14        Norwich    Man City    0    0  NH   19   68   37
## 3756 3755   14/04/10      Tottenham     Arsenal    2    1   H   60   75   33
## 3007 3006   19/04/08          Wigan   Tottenham    1    1  NH   31   63   48
## 3396 3395   09/05/09       West Ham   Liverpool    0    3  NH   39   69   38
## 694   693   30/03/02          Leeds  Man United    3    4  NH   44   78   30
## 4559 4558   13/05/12      West Brom     Arsenal    2    3  NH   43   71   49
## 1504 1503   08/05/04     Man United     Chelsea    1    1  NH   61   65   34
## 4174 4173   22/05/11         Fulham     Arsenal    2    2  NH   47   70   41
## 1877 1876   02/05/05      West Brom     Arsenal    0    2  NH   33   76   58
## 6074 6073   15/05/16      Newcastle   Tottenham    5    1   H   39   68   64
## 3787 3786   03/05/10      Blackburn     Arsenal    2    1   H   38   78   54
## 6422 6421   30/04/17  Middlesbrough    Man City    2    2  NH   24   65   43
## 6056 6055   02/05/16        Chelsea   Tottenham    2    2  NH   55   65   48
## 4489 4488   02/04/12      Blackburn  Man United    0    2  NH   43   74   62
## 1098 1097 19/04/2003    Middlesboro     Arsenal    0    2  NH   42   69   35
## 3790 3789   05/05/10       Man City   Tottenham    0    1  NH   72   64   43
## 369   368   13/05/01    Southampton  Man United    2    1   H   35   77   45
## 3761 3760   17/04/10       Man City  Man United    0    1  NH   69   77   42
## 3039 3038   11/05/08       West Ham Aston Villa    2    2  NH   40   69   48
## 1135 1134 11/05/2003        Everton  Man United    1    2  NH   47   72   47
## 6435 6434   10/05/17    Southampton     Arsenal    0    2  NH   39   68   46
## 3794 3793   09/05/10        Burnley   Tottenham    4    2   H   38   65   80
## 5316 5315   11/05/14        Norwich     Arsenal    0    2  NH   28   66   60
## 4542 4541   06/05/12    Aston Villa   Tottenham    1    1  NH   36   63   50
## 744   743   27/04/02  Middlesbrough     Chelsea    0    2  NH   35   63   44
## 6760 6759   12/03/18          Stoke    Man City    0    2  NH   28   83   54
## 6423 6422   30/04/17      Tottenham     Arsenal    2    0   H   71   66   22
## 4529 4528   28/04/12          Stoke     Arsenal    1    1  NH   32   67   48
## 4127 4126   20/04/11      Tottenham     Arsenal    3    3  NH   47   63   39
## 4157 4156   08/05/11          Stoke     Arsenal    3    1   H   43   68   43
## 701   700   01/04/02       Charlton     Arsenal    0    3  NH   35   66   38
## 3727 3726   24/03/10     Portsmouth     Chelsea    0    5  NH   28   70   53
## 380   379   19/05/01      Tottenham  Man United    3    1   H   44   78   53
## 4498 4497   08/04/12        Arsenal    Man City    1    0   H   62   75   41
## 371   370   19/05/01       Charlton   Liverpool    0    4  NH   50   67   53
## 6460 6459   21/05/17        Watford    Man City    0    5  NH   40   75   63
## 4156 4155   08/05/11     Man United     Chelsea    2    1   H   71   66   33
## 3040 3039   11/05/08          Wigan  Man United    0    2  NH   34   78   49
## 4546 4545   06/05/12      Newcastle    Man City    0    2  NH   55   88   46
## 4910 4909   04/05/13            QPR     Arsenal    0    1  NH   29   65   56
## 5304 5303   03/05/14        Everton    Man City    2    3  NH   57   96   36
## 1138 1137 11/05/2003     Sunderland     Arsenal    0    4  NH   21   81   61
## 5639 5638   12/04/15            QPR     Chelsea    0    1  NH   35   64   55
## 3769 3768   24/04/10        Arsenal    Man City    0    0  NH   76   69   36
## 3799 3798   09/05/10       West Ham    Man City    1    1  NH   46   72   65
## 334   333   17/04/01      Tottenham     Chelsea    0    3  NH   41   62   43
## 5669 5668   04/05/15           Hull     Arsenal    1    3  NH   32   66   45
## 2647 2646   06/05/07        Arsenal     Chelsea    1    1  NH   62   63   34
## 6053 6052   01/05/16     Man United   Leicester    1    1  NH   43   63   31
## 6774 6773   01/04/18        Chelsea   Tottenham    1    3  NH   53   62   30
## 6441 6440   13/05/17          Stoke     Arsenal    1    4  NH   39   72   52
## 658   657   03/03/02          Derby  Man United    2    2  NH   21   66   43
## 748   747   29/04/02         Bolton     Arsenal    0    2  NH   43   74   58
## 3020 3019   28/04/08          Derby     Arsenal    2    6  NH   17   66   76
## 1499 1498   04/05/04     Portsmouth     Arsenal    1    1  NH   40   69   49
## 1897 1896   15/05/05      Newcastle     Chelsea    1    1  NH   46   71   56
##      ATGC       HTP      ATP HM1 HM2 HM3 HM4 HM5 AM1 AM2 AM3 AM4 AM5 MW
## 678    37 1.2333333 1.933333   W   L   W   L   W   D   W   W   W   W 30
## 5689   28 1.1081081 2.270270   D   W   D   W   L   D   W   W   D   W 37
## 6420   29 1.6764706 2.294118   W   W   D   L   W   W   L   W   W   L 34
## 350    25 1.0000000 2.200000   L   W   D   L   W   D   W   W   L   W 35
## 4883   33 1.0303030 2.424242   L   L   D   L   L   W   L   W   W   W 33
## 6402   40 1.3333333 1.909091   L   L   D   W   L   W   D   W   D   W 33
## 1869   13 1.5142857 2.428571   D   W   W   L   W   W   D   D   W   W 35
## 6740   20 1.6071429 2.571429   L   W   L   W   L   W   D   W   W   L 28
## 3409   26 0.8378378 2.162162   W   L   W   L   D   W   W   W   D   W 37
## 750    33 2.0540541 2.189189   W   W   W   W   L   W   W   W   W   W 37
## 6384   24 1.0967742 2.322581   D   W   W   D   L   W   L   W   W   W 31
## 5230   35 1.6551724 2.034483   W   W   D   D   L   W   W   W   W   D 29
## 5294   35 1.1944444 2.138889   W   W   W   W   W   W   W   D   L   W 36
## 3003   18 1.4571429 2.285714   L   D   D   W   L   W   D   W   W   W 35
## 5225   27 1.0344828 2.172414   L   W   L   W   D   W   W   W   D   L 29
## 6791   25 1.9705882 2.558824   L   W   W   W   W   W   L   W   W   W 34
## 6450   24 1.1621622 2.162162   L   W   W   L   D   W   L   W   W   W 37
## 4861   31 1.0000000 2.483871   D   L   D   L   L   W   W   W   W   W 31
## 1512   35 1.4736842 1.894737   D   W   W   D   W   D   L   L   W   L 38
## 2267   20 1.5405405 2.459459   W   L   L   D   D   W   W   W   W   D 37
## 4429   19 1.1200000 2.280000   L   D   W   D   L   W   L   W   W   W 25
## 3018   45 1.6944444 1.611111   L   D   W   L   D   W   W   W   L   L 36
## 4885   33 1.2121212 1.848485   D   L   W   W   D   W   W   L   W   W 33
## 6766   34 0.8709677 1.935484   L   L   L   L   D   L   W   W   W   D 31
## 3400   23 1.1666667 2.305556   L   D   L   L   L   W   W   W   W   W 36
## 1834   33 1.4062500 2.093750   W   L   L   D   D   W   W   W   D   W 32
## 3696   24 0.8571429 2.035714   L   L   W   L   D   L   D   W   W   W 28
## 5295   26 2.2222222 2.083333   W   W   W   W   W   L   W   W   L   W 36
## 1119   32 1.3888889 2.055556   W   L   D   W   L   W   D   W   W   W 36
## 6412   22 1.1176471 2.176471   W   D   W   L   W   W   W   W   W   W 34
## 4556   33 1.1842105 2.263158   L   D   D   D   L   W   L   D   W   L 38
## 3012   19 2.1666667 2.250000   W   D   W   W   W   D   W   D   W   W 36
## 5696   37 0.8947368 1.815789   L   L   L   W   W   D   W   L   L   L 38
## 3720   27 1.1333333 2.133333   L   L   W   W   L   W   L   W   L   W 30
## 1071   33 1.1250000 2.062500   D   L   L   L   L   W   L   W   W   D 32
## 735    46 1.1111111 1.861111   D   W   D   W   L   W   W   D   D   W 36
## 4173   32 1.3421053 1.868421   L   W   D   L   W   D   L   W   W   W 38
## 4934   37 1.0789474 1.842105   W   D   L   D   L   W   W   D   W   D 38
## 1850   33 2.4545455 2.121212   D   W   W   W   W   W   W   W   W   D 33
## 6833   51 0.9736842 1.578947   D   D   L   W   D   L   W   L   W   L 38
## 5170   25 1.8695652 2.173913   W   W   W   W   D   W   W   W   W   W 23
## 3785   32 1.6756757 2.162162   W   W   D   D   W   W   L   W   W   W 37
## 3786   28 1.1891892 2.135135   W   W   L   W   L   W   W   D   L   W 37
## 2657   35 1.3947368 1.763158   L   W   D   W   L   D   W   D   W   W 38
## 4927   45 1.1081081 1.783784   D   W   W   L   L   D   W   D   W   D 37
## 4536   32 2.2222222 2.305556   W   W   W   L   D   D   W   L   W   W 36
## 5286   42 0.9142857 2.200000   L   L   L   W   L   W   W   W   W   W 35
## 367    42 1.7567568 1.540541   W   W   W   W   W   W   L   L   W   W 37
## 6815   27 1.0277778 2.138889   D   D   L   D   L   W   W   L   W   W 36
## 4938   38 1.2631579 2.315789   L   L   L   W   D   W   L   D   W   D 38
## 2649   26 2.1891892 2.378378   D   D   D   W   W   W   W   D   W   L 37
## 1891   34 1.1052632 2.184211   L   W   D   L   D   W   W   W   W   D 38
## 6437   29 1.2500000 2.333333   D   L   L   L   L   W   W   W   L   W 36
## 355    37 0.6666667 1.722222   L   L   W   W   L   W   W   W   W   L 36
## 4105   30 1.0322581 2.032258   D   W   W   D   L   W   L   L   W   W 31
## 6813   26 0.9722222 2.583333   L   L   D   D   W   W   W   W   L   W 36
## 6793   45 1.2058824 1.588235   W   W   W   W   L   L   W   W   W   L 34
## 2631   26 1.5000000 2.361111   L   W   D   W   D   W   D   W   L   W 36
## 2232   20 1.4117647 2.411765   L   L   L   L   L   W   D   W   L   W 34
## 6714   18 1.3461538 2.615385   D   L   L   L   D   W   W   L   W   D 26
## 5687   35 1.8378378 1.918919   W   L   L   L   W   D   L   W   D   W 37
## 4508   27 0.8484848 2.393939   L   W   W   D   D   W   W   W   W   W 33
## 4930   31 0.7567568 2.027027   W   D   L   D   L   W   D   W   L   W 37
## 6830   28 1.0270270 2.081081   W   L   L   D   D   L   W   W   L   W 37
## 721    46 0.8285714 1.828571   L   L   L   L   W   W   D   D   W   D 35
## 6754   32 2.0666667 2.000000   W   W   L   W   L   W   W   W   D   W 30
## 6837   27 0.9473684 2.552632   W   D   W   D   L   W   D   W   W   W 38
## 5185   27 0.9600000 2.120000   L   D   W   L   D   L   W   W   W   W 25
## 3756   34 1.7941176 2.088235   W   L   W   W   W   W   D   W   W   W 34
## 3007   57 1.0000000 1.171429   D   W   L   L   W   D   D   L   W   D 35
## 3396   26 1.3333333 2.138889   W   L   D   L   W   W   W   D   W   W 36
## 694    40 1.6875000 2.000000   W   W   W   D   D   W   W   D   W   W 32
## 4559   47 1.2368421 1.763158   D   D   W   W   L   D   D   D   L   W 38
## 1504   29 1.9189189 2.027027   L   L   W   L   W   W   L   D   L   D 37
## 4174   41 1.2631579 1.763158   W   L   W   W   D   L   L   W   L   D 38
## 1877   33 0.8333333 2.138889   D   L   D   D   W   W   W   D   W   W 36
## 6074   30 0.8947368 1.842105   D   W   D   D   W   L   D   D   W   W 38
## 3787   39 1.1891892 1.945946   D   L   D   D   W   D   L   L   W   D 37
## 6422   37 0.7714286 1.885714   W   L   L   D   L   D   D   W   W   L 35
## 6056   26 1.3333333 1.916667   D   W   L   L   W   D   W   W   D   W 36
## 4489   27 0.9032258 2.354839   L   W   W   D   L   W   W   W   W   W 31
## 1098   36 1.3529412 2.000000   D   W   D   W   W   D   D   W   L   W 34
## 3790   37 1.7837838 1.810811   W   D   L   W   W   W   L   W   W   L 37
## 369    26 1.2432432 2.162162   L   D   L   D   L   L   W   D   W   W 37
## 3761   27 1.7714286 2.085714   L   W   W   W   L   D   L   W   W   W 35
## 3039   49 1.2631579 1.552632   L   D   W   L   L   L   D   W   W   W 38
## 1135   33 1.5526316 2.105263   L   W   L   L   W   W   W   W   D   W 38
## 6435   42 1.1666667 1.833333   L   D   D   L   L   W   W   L   W   W 36
## 3794   37 0.7105263 1.842105   L   L   L   W   L   W   W   L   W   W 38
## 5316   41 0.8684211 2.000000   D   L   L   L   L   W   W   W   W   L 38
## 4542   40 1.0000000 1.756757   D   L   D   L   D   W   W   L   L   D 37
## 744    35 1.2162162 1.648649   L   L   W   W   D   L   D   W   D   W 37
## 6760   20 0.9000000 2.600000   D   D   D   L   D   W   W   W   D   W 30
## 6423   42 2.2000000 1.800000   W   W   W   W   W   W   L   W   W   L 35
## 4529   43 1.2000000 1.828571   L   D   W   L   D   L   W   W   L   W 35
## 4127   31 1.6363636 1.909091   D   W   D   D   D   D   W   D   D   D 33
## 4157   36 1.1944444 1.861111   D   W   D   L   D   W   L   D   D   W 36
## 701    32 1.2424242 2.090909   L   L   W   D   W   W   W   W   W   W 33
## 3727   28 0.7096774 2.096774   W   L   L   W   L   D   W   L   W   L 31
## 380    28 1.2105263 2.105263   L   D   L   L   W   L   L   W   D   W 38
## 4498   25 1.8125000 2.218750   L   W   W   W   W   D   D   W   L   W 32
## 371    39 1.3684211 1.736842   L   W   W   D   L   D   W   W   W   W 38
## 6460   39 1.0526316 1.973684   L   L   L   L   L   W   W   W   D   D 38
## 4156   28 2.0277778 1.944444   L   W   D   W   W   W   W   W   W   W 36
## 3040   22 1.0526316 2.210526   W   D   D   D   W   W   L   D   W   D 38
## 4546   27 1.7567568 2.243243   W   L   W   W   W   W   W   W   W   L 37
## 4910   35 0.6857143 1.800000   L   L   D   L   L   W   D   W   W   W 35
## 5304   37 1.8648649 2.162162   L   W   L   W   W   W   W   W   D   L 37
## 1138   42 0.5000000 1.973684   L   L   L   L   L   W   L   D   W   D 38
## 5639   26 0.7812500 2.281250   W   L   L   L   L   W   W   W   D   W 32
## 3769   42 2.0285714 1.771429   L   W   D   W   W   L   W   W   W   L 35
## 3799   44 0.8947368 1.736842   L   W   L   W   D   L   W   D   L   W 38
## 334    38 1.3235294 1.588235   W   W   L   W   L   W   W   W   W   L 34
## 5669   33 0.9714286 2.000000   W   W   L   L   L   W   D   W   W   W 35
## 2647   23 1.7837838 2.189189   W   D   W   W   D   D   D   D   W   W 37
## 6053   33 1.6666667 2.111111   D   W   W   L   W   W   D   W   W   W 36
## 6774   26 1.7500000 2.000000   L   W   L   L   W   W   W   W   W   W 32
## 6441   43 1.1081081 1.864865   D   D   L   W   L   W   W   W   L   W 37
## 658    35 0.8928571 1.928571   W   L   W   L   L   W   W   W   L   W 28
## 748    33 1.0810811 2.189189   L   D   W   L   W   W   W   W   W   W 37
## 3020   29 0.3055556 2.055556   L   L   L   D   L   W   L   D   W   L 36
## 1499   24 1.1388889 2.305556   D   W   W   W   D   D   D   W   D   W 36
## 1897   14 1.1315789 2.473684   L   W   D   D   L   W   W   W   W   D 38
##      HTFormPtsStr ATFormPtsStr HTFormPts ATFormPts HTWinStreak3 HTWinStreak5
## 678         WLWLW        DWWWW         9        13            0            0
## 5689        DWDWL        DWWDW         8        11            0            0
## 6420        WWDLW        WLWWL        10         9            0            0
## 350         LWDLW        DWWLW         7        10            0            0
## 4883        LLDLL        WLWWW         1        12            0            0
## 6402        LLDWL        WDWDW         4        11            0            0
## 1869        DWWLW        WDDWW        10        11            0            0
## 6740        LWLWL        WDWWL         6        10            0            0
## 3409        WLWLD        WWWDW         7        13            0            0
## 750         WWWWL        WWWWW        12        15            0            0
## 6384        DWWDL        WLWWW         8        12            0            0
## 5230        WWDDL        WWWWD         8        13            0            0
## 5294        WWWWW        WWDLW        15        10            1            1
## 3003        LDDWL        WDWWW         5        13            0            0
## 5225        LWLWD        WWWDL         7        10            0            0
## 6791        LWWWW        WLWWW        12        12            1            0
## 6450        LWWLD        WLWWW         7        12            0            0
## 4861        DLDLL        WWWWW         2        15            0            0
## 1512        DWWDW        DLLWL        11         4            0            0
## 2267        WLLDD        WWWWD         5        13            0            0
## 4429        LDWDL        WLWWW         5        12            0            0
## 3018        LDWLD        WWWLL         5         9            0            0
## 4885        DLWWD        WWLWW         8        12            0            0
## 6766        LLLLD        LWWWD         1        10            0            0
## 3400        LDLLL        WWWWW         1        15            0            0
## 1834        WLLDD        WWWDW         5        13            0            0
## 3696        LLWLD        LDWWW         4        10            0            0
## 5295        WWWWW        LWWLW        15         9            1            1
## 1119        WLDWL        WDWWW         7        13            0            0
## 6412        WDWLW        WWWWW        10        15            0            0
## 4556        LDDDL        WLDWL         3         7            0            0
## 3012        WDWWW        DWDWW        13        11            1            0
## 5696        LLLWW        DWLLL         6         4            0            0
## 3720        LLWWL        WLWLW         6         9            0            0
## 1071        DLLLL        WLWWD         1        10            0            0
## 735         DWDWL        WWDDW         8        11            0            0
## 4173        LWDLW        DLWWW         7        10            0            0
## 4934        WDLDL        WWDWD         5        11            0            0
## 1850        DWWWW        WWWWD        13        13            1            0
## 6833        DDLWD        LWLWL         6         6            0            0
## 5170        WWWWD        WWWWW        13        15            0            0
## 3785        WWDDW        WLWWW        11        12            0            0
## 3786        WWLWL        WWDLW         9        10            0            0
## 2657        LWDWL        DWDWW         7        11            0            0
## 4927        DWWLL        DWDWD         7         9            0            0
## 4536        WWWLD        DWLWW        10        10            0            0
## 5286        LLLWL        WWWWW         3        15            0            0
## 367         WWWWW        WLLWW        15         9            1            1
## 6815        DDLDL        WWLWW         3        12            0            0
## 4938        LLLWD        WLDWD         4         8            0            0
## 2649        DDDWW        WWDWL         9        10            0            0
## 1891        LWDLD        WWWWD         5        13            0            0
## 6437        DLLLL        WWWLW         1        12            0            0
## 355         LLWWL        WWWWL         6        12            0            0
## 4105        DWWDL        WLLWW         8         9            0            0
## 6813        LLDDW        WWWLW         5        12            0            0
## 6793        WWWWL        LWWWL        12         9            0            0
## 2631        LWDWD        WDWLW         8        10            0            0
## 2232        LLLLL        WDWLW         0        10            0            0
## 6714        DLLLD        WWLWD         2        10            0            0
## 5687        WLLLW        DLWDW         6         8            0            0
## 4508        LWWDD        WWWWW         8        15            0            0
## 4930        WDLDL        WDWLW         5        10            0            0
## 6830        WLLDD        LWWLW         5         9            0            0
## 721         LLLLW        WDDWD         3         9            0            0
## 6754        WWLWL        WWWDW         9        13            0            0
## 6837        WDWDL        WDWWW         8        13            0            0
## 5185        LDWLD        LWWWW         5        12            0            0
## 3756        WLWWW        WDWWW        12        13            1            0
## 3007        DWLLW        DDLWD         7         6            0            0
## 3396        WLDLW        WWDWW         7        13            0            0
## 694         WWWDD        WWDWW        11        13            0            0
## 4559        DDWWL        DDDLW         8         6            0            0
## 1504        LLWLW        WLDLD         6         5            0            0
## 4174        WLWWD        LLWLD        10         4            0            0
## 1877        DLDDW        WWDWW         6        13            0            0
## 6074        DWDDW        LDDWW         9         8            0            0
## 3787        DLDDW        DLLWD         6         5            0            0
## 6422        WLLDL        DDWWL         4         8            0            0
## 6056        DWLLW        DWWDW         7        11            0            0
## 4489        LWWDL        WWWWW         7        15            0            0
## 1098        DWDWW        DDWLW        11         8            0            0
## 3790        WDLWW        WLWWL        10         9            0            0
## 369         LDLDL        LWDWW         2        10            0            0
## 3761        LWWWL        DLWWW         9        10            0            0
## 3039        LDWLL        LDWWW         4        10            0            0
## 1135        LWLLW        WWWDW         6        13            0            0
## 6435        LDDLL        WWLWW         2        12            0            0
## 3794        LLLWL        WWLWW         3        12            0            0
## 5316        DLLLL        WWWWL         1        12            0            0
## 4542        DLDLD        WWLLD         3         7            0            0
## 744         LLWWD        LDWDW         7         8            0            0
## 6760        DDDLD        WWWDW         4        13            0            0
## 6423        WWWWW        WLWWL        15         9            1            1
## 4529        LDWLD        LWWLW         5         9            0            0
## 4127        DWDDD        DWDDD         7         7            0            0
## 4157        DWDLD        WLDDW         6         8            0            0
## 701         LLWDW        WWWWW         7        15            0            0
## 3727        WLLWL        DWLWL         6         7            0            0
## 380         LDLLW        LLWDW         4         7            0            0
## 4498        LWWWW        DDWLW        12         8            1            0
## 371         LWWDL        DWWWW         7        13            0            0
## 6460        LLLLL        WWWDD         0        11            0            0
## 4156        LWDWW        WWWWW        10        15            0            0
## 3040        WDDDW        WLDWD         9         8            0            0
## 4546        WLWWW        WWWWL        12        12            1            0
## 4910        LLDLL        WDWWW         1        13            0            0
## 5304        LWLWW        WWWDL         9        10            0            0
## 1138        LLLLL        WLDWD         0         8            0            0
## 5639        WLLLL        WWWDW         3        13            0            0
## 3769        LWDWW        LWWWL        10         9            0            0
## 3799        LWLWD        LWDLW         7         7            0            0
## 334         WWLWL        WWWWL         9        12            0            0
## 5669        WWLLL        WDWWW         6        13            0            0
## 2647        WDWWD        DDDWW        11         9            0            0
## 6053        DWWLW        WDWWW        10        13            0            0
## 6774        LWLLW        WWWWW         6        15            0            0
## 6441        DDLWL        WWWLW         5        12            0            0
## 658         WLWLL        WWWLW         6        12            0            0
## 748         LDWLW        WWWWW         7        15            0            0
## 3020        LLLDL        WLDWL         1         7            0            0
## 1499        DWWWD        DDWDW        11         9            0            0
## 1897        LWDDL        WWWWD         5        13            0            0
##      HTLossStreak3 HTLossStreak5 ATWinStreak3 ATWinStreak5 ATLossStreak3
## 678              0             0            1            0             0
## 5689             0             0            0            0             0
## 6420             0             0            0            0             0
## 350              0             0            0            0             0
## 4883             0             0            1            0             0
## 6402             0             0            0            0             0
## 1869             0             0            0            0             0
## 6740             0             0            0            0             0
## 3409             0             0            0            0             0
## 750              0             0            1            1             0
## 6384             0             0            1            0             0
## 5230             0             0            0            0             0
## 5294             0             0            0            0             0
## 3003             0             0            1            0             0
## 5225             0             0            0            0             0
## 6791             0             0            1            0             0
## 6450             0             0            1            0             0
## 4861             0             0            1            1             0
## 1512             0             0            0            0             0
## 2267             0             0            0            0             0
## 4429             0             0            1            0             0
## 3018             0             0            0            0             0
## 4885             0             0            0            0             0
## 6766             0             0            0            0             0
## 3400             1             0            1            1             0
## 1834             0             0            0            0             0
## 3696             0             0            1            0             0
## 5295             0             0            0            0             0
## 1119             0             0            1            0             0
## 6412             0             0            1            1             0
## 4556             0             0            0            0             0
## 3012             0             0            0            0             0
## 5696             0             0            0            0             1
## 3720             0             0            0            0             0
## 1071             1             0            0            0             0
## 735              0             0            0            0             0
## 4173             0             0            1            0             0
## 4934             0             0            0            0             0
## 1850             0             0            0            0             0
## 6833             0             0            0            0             0
## 5170             0             0            1            1             0
## 3785             0             0            1            0             0
## 3786             0             0            0            0             0
## 2657             0             0            0            0             0
## 4927             0             0            0            0             0
## 4536             0             0            0            0             0
## 5286             0             0            1            1             0
## 367              0             0            0            0             0
## 6815             0             0            0            0             0
## 4938             0             0            0            0             0
## 2649             0             0            0            0             0
## 1891             0             0            0            0             0
## 6437             1             0            0            0             0
## 355              0             0            0            0             0
## 4105             0             0            0            0             0
## 6813             0             0            0            0             0
## 6793             0             0            0            0             0
## 2631             0             0            0            0             0
## 2232             1             1            0            0             0
## 6714             0             0            0            0             0
## 5687             0             0            0            0             0
## 4508             0             0            1            1             0
## 4930             0             0            0            0             0
## 6830             0             0            0            0             0
## 721              0             0            0            0             0
## 6754             0             0            0            0             0
## 6837             0             0            1            0             0
## 5185             0             0            1            0             0
## 3756             0             0            1            0             0
## 3007             0             0            0            0             0
## 3396             0             0            0            0             0
## 694              0             0            0            0             0
## 4559             0             0            0            0             0
## 1504             0             0            0            0             0
## 4174             0             0            0            0             0
## 1877             0             0            0            0             0
## 6074             0             0            0            0             0
## 3787             0             0            0            0             0
## 6422             0             0            0            0             0
## 6056             0             0            0            0             0
## 4489             0             0            1            1             0
## 1098             0             0            0            0             0
## 3790             0             0            0            0             0
## 369              0             0            0            0             0
## 3761             0             0            1            0             0
## 3039             0             0            1            0             0
## 1135             0             0            0            0             0
## 6435             0             0            0            0             0
## 3794             0             0            0            0             0
## 5316             1             0            0            0             0
## 4542             0             0            0            0             0
## 744              0             0            0            0             0
## 6760             0             0            0            0             0
## 6423             0             0            0            0             0
## 4529             0             0            0            0             0
## 4127             0             0            0            0             0
## 4157             0             0            0            0             0
## 701              0             0            1            1             0
## 3727             0             0            0            0             0
## 380              0             0            0            0             0
## 4498             0             0            0            0             0
## 371              0             0            1            0             0
## 6460             1             1            0            0             0
## 4156             0             0            1            1             0
## 3040             0             0            0            0             0
## 4546             0             0            0            0             0
## 4910             0             0            1            0             0
## 5304             0             0            0            0             0
## 1138             1             1            0            0             0
## 5639             1             0            0            0             0
## 3769             0             0            0            0             0
## 3799             0             0            0            0             0
## 334              0             0            0            0             0
## 5669             1             0            1            0             0
## 2647             0             0            0            0             0
## 6053             0             0            1            0             0
## 6774             0             0            1            1             0
## 6441             0             0            0            0             0
## 658              0             0            0            0             0
## 748              0             0            1            1             0
## 3020             0             0            0            0             0
## 1499             0             0            0            0             0
## 1897             0             0            0            0             0
##      ATLossStreak5        HTGD      ATGD     DiffPts DiffFormPts
## 678              0 -0.40000000 1.0666667 -0.70000000 -0.13333333
## 5689             0 -0.35135135 1.1351351 -1.16216216 -0.08108108
## 6420             0  0.67647059 1.1764706 -0.61764706  0.02941176
## 350              0 -0.05714286 1.4285714 -1.20000000 -0.08571429
## 4883             0 -0.33333333 1.2121212 -1.39393939 -0.33333333
## 6402             0 -0.06060606 0.8484848 -0.57575758 -0.21212121
## 1869             0  0.17142857 1.4857143 -0.91428571 -0.02857143
## 6740             0  0.53571429 2.1071429 -0.96428571 -0.14285714
## 3409             0 -0.78378378 1.2432432 -1.32432432 -0.16216216
## 750              0  1.16216216 1.1081081 -0.13513514 -0.08108108
## 6384             0 -0.38709677 1.2258065 -1.22580645 -0.12903226
## 5230             0  0.51724138 1.3103448 -0.37931034 -0.17241379
## 5294             0 -0.36111111 1.6111111 -0.94444444  0.13888889
## 3003             0  0.05714286 1.5428571 -0.82857143 -0.22857143
## 5225             0 -0.17241379 1.6896552 -1.13793103 -0.10344828
## 6791             0  1.02941176 2.0000000 -0.58823529  0.00000000
## 6450             0 -0.27027027 1.3243243 -1.00000000 -0.13513514
## 4861             0 -0.29032258 1.2580645 -1.48387097 -0.41935484
## 1512             0  0.15789474 0.7105263 -0.42105263  0.18421053
## 2267             0  0.16216216 1.4054054 -0.91891892 -0.21621622
## 4429             0 -0.16000000 1.7600000 -1.16000000 -0.28000000
## 3018             0  0.58333333 0.6111111  0.08333333 -0.11111111
## 4885             0 -0.12121212 0.9393939 -0.63636364 -0.12121212
## 6766             0 -0.64516129 1.0967742 -1.06451613 -0.29032258
## 3400             0 -0.25000000 1.1666667 -1.13888889 -0.38888889
## 1834             0  0.09375000 1.2187500 -0.68750000 -0.25000000
## 3696             0 -0.85714286 1.3928571 -1.17857143 -0.21428571
## 5295             0  1.44444444 1.1388889  0.13888889  0.16666667
## 1119             0 -0.02777778 0.9444444 -0.66666667 -0.16666667
## 6412             0 -0.20588235 1.3823529 -1.05882353 -0.14705882
## 4556             0  0.00000000 1.4473684 -1.07894737 -0.10526316
## 3012             0  1.00000000 1.5000000 -0.08333333  0.05555556
## 5696             0 -0.47368421 0.6578947 -0.92105263  0.05263158
## 3720             0 -0.56666667 1.4000000 -1.00000000 -0.10000000
## 1071             0 -0.12500000 1.0312500 -0.93750000 -0.28125000
## 735              0  0.02777778 0.6111111 -0.75000000 -0.08333333
## 4173             0  0.13157895 0.9736842 -0.52631579 -0.07894737
## 4934             0 -0.57894737 0.8947368 -0.76315789 -0.15789474
## 1850             0  1.51515152 1.2121212  0.33333333  0.00000000
## 6833             0 -0.76315789 0.5789474 -0.60526316  0.00000000
## 5170             0  0.13043478 1.6521739 -0.30434783 -0.08695652
## 3785             0  0.75675676 1.6486486 -0.48648649 -0.02702703
## 3786             0 -0.16216216 1.4324324 -0.94594595 -0.02702703
## 2657             0  0.07894737 0.7368421 -0.36842105 -0.10526316
## 4927             0 -0.27027027 0.4864865 -0.67567568 -0.05405405
## 4536             0  1.66666667 1.5000000 -0.08333333  0.00000000
## 5286             0 -0.77142857 1.4571429 -1.28571429 -0.34285714
## 367              0  0.75675676 0.5945946  0.21621622  0.16216216
## 6815             0 -0.41666667 1.1111111 -1.11111111 -0.25000000
## 4938             0 -0.10526316 1.1315789 -1.05263158 -0.10526316
## 2649             0  1.08108108 1.5405405 -0.18918919 -0.02702703
## 1891             0 -0.18421053 1.3684211 -1.07894737 -0.21052632
## 6437             0 -0.11111111 1.2777778 -1.08333333 -0.30555556
## 355              0 -0.97222222 0.6944444 -1.05555556 -0.16666667
## 4105             0 -0.41935484 1.0967742 -1.00000000 -0.03225806
## 6813             0 -0.66666667 2.1111111 -1.61111111 -0.19444444
## 6793             0 -0.20588235 0.5000000 -0.38235294  0.08823529
## 2631             0  0.41666667 1.5555556 -0.86111111 -0.05555556
## 2232             0  0.14705882 1.2941176 -1.00000000 -0.29411765
## 6714             0 -0.07692308 2.1153846 -1.26923077 -0.30769231
## 5687             0  0.67567568 0.8648649 -0.08108108 -0.05405405
## 4508             0 -0.81818182 1.5454545 -1.54545455 -0.21212121
## 4930             0 -0.70270270 0.8378378 -1.27027027 -0.13513514
## 6830             0 -0.59459459 1.0540541 -1.05405405 -0.10810811
## 721              0 -0.74285714 0.5428571 -1.00000000 -0.17142857
## 6754             0  1.13333333 1.1666667  0.06666667 -0.13333333
## 6837             0 -0.47368421 2.0526316 -1.60526316 -0.13157895
## 5185             0 -0.72000000 1.6400000 -1.16000000 -0.28000000
## 3756             0  0.79411765 1.2058824 -0.29411765 -0.02941176
## 3007             0 -0.48571429 0.1714286 -0.17142857  0.02857143
## 3396             0  0.02777778 1.1944444 -0.80555556 -0.16666667
## 694              0  0.43750000 1.1875000 -0.31250000 -0.06250000
## 4559             0 -0.15789474 0.6315789 -0.52631579  0.05263158
## 1504             0  0.72972973 0.9729730 -0.10810811  0.02702703
## 4174             0  0.15789474 0.7631579 -0.50000000  0.15789474
## 1877             0 -0.69444444 1.1944444 -1.30555556 -0.19444444
## 6074             0 -0.65789474 1.0000000 -0.94736842  0.02631579
## 3787             0 -0.43243243 1.0540541 -0.75675676  0.02702703
## 6422             0 -0.54285714 0.8000000 -1.11428571 -0.11428571
## 6056             0  0.19444444 1.0833333 -0.58333333 -0.11111111
## 4489             0 -0.61290323 1.5161290 -1.45161290 -0.25806452
## 1098             0  0.20588235 0.9705882 -0.64705882  0.08823529
## 3790             0  0.78378378 0.7297297 -0.02702703  0.02702703
## 369              0 -0.27027027 1.3783784 -0.91891892 -0.21621622
## 3761             0  0.77142857 1.4285714 -0.31428571 -0.02857143
## 3039             0 -0.21052632 0.5263158 -0.28947368 -0.15789474
## 1135             0  0.00000000 1.0263158 -0.55263158 -0.18421053
## 6435             0 -0.19444444 0.7222222 -0.66666667 -0.27777778
## 3794             0 -1.10526316 0.7368421 -1.13157895 -0.23684211
## 5316             0 -0.84210526 0.6578947 -1.13157895 -0.28947368
## 4542             0 -0.37837838 0.6216216 -0.75675676 -0.10810811
## 744              0 -0.24324324 0.7567568 -0.43243243 -0.02702703
## 6760             0 -0.86666667 2.1000000 -1.70000000 -0.30000000
## 6423             0  1.40000000 0.6857143  0.40000000  0.17142857
## 4529             0 -0.45714286 0.6857143 -0.62857143 -0.11428571
## 4127             0  0.24242424 0.9696970 -0.27272727  0.00000000
## 4157             0  0.00000000 0.8888889 -0.66666667 -0.05555556
## 701              0 -0.09090909 1.0303030 -0.84848485 -0.24242424
## 3727             0 -0.80645161 1.3548387 -1.38709677 -0.03225806
## 380              0 -0.23684211 1.3157895 -0.89473684 -0.07894737
## 4498             0  0.65625000 1.5625000 -0.40625000  0.12500000
## 371              0 -0.07894737 0.7368421 -0.36842105 -0.15789474
## 6460             0 -0.60526316 0.9473684 -0.92105263 -0.28947368
## 4156             0  1.05555556 1.0555556  0.08333333 -0.13888889
## 3040             0 -0.39473684 1.4736842 -1.15789474  0.02631579
## 4546             0  0.24324324 1.6486486 -0.48648649  0.00000000
## 4910             0 -0.77142857 0.8571429 -1.11428571 -0.34285714
## 5304             0  0.56756757 1.5945946 -0.29729730 -0.02702703
## 1138             0 -1.05263158 1.0263158 -1.47368421 -0.21052632
## 5639             0 -0.62500000 1.1875000 -1.50000000 -0.31250000
## 3769             0  1.14285714 0.7714286  0.25714286  0.02857143
## 3799             0 -0.50000000 0.7368421 -0.84210526  0.00000000
## 334              0 -0.05882353 0.7058824 -0.26470588 -0.08823529
## 5669             0 -0.37142857 0.9428571 -1.02857143 -0.20000000
## 2647             0  0.75675676 1.0810811 -0.40540541  0.05405405
## 6053             0  0.33333333 0.8333333 -0.44444444 -0.08333333
## 6774             0  0.71875000 1.1250000 -0.25000000 -0.28125000
## 6441             0 -0.35135135 0.7837838 -0.75675676 -0.18918919
## 658              0 -0.78571429 1.1071429 -1.03571429 -0.21428571
## 748              0 -0.40540541 1.1081081 -1.10810811 -0.21621622
## 3020             0 -1.63888889 1.0277778 -1.75000000 -0.16666667
## 1499             0 -0.25000000 1.2500000 -1.16666667  0.05555556
## 1897             0 -0.26315789 1.5000000 -1.34210526 -0.21052632

Visualization for sample 2

library(ggplot2)

# barplot of the "ATGS" column 
ggplot(sample_2, aes(y = ATGS)) +
  geom_bar() +
  geom_point(data = outliers, aes(x=1 ,y = ATGS), color = "blue", size = 4) +
  labs(
    title = "Barplot of ATGS with Outliers Highlighted",
    y = "ATGS"
  ) +
  theme_minimal()

Analysis: By observing the barplots of both the sample set we can see the that the outliers range in both the sample set for the ATGS column is the same .

Normal distribution of full time result column in sample 3

data <- sample_3
ggplot(sample_3, aes(x=FTR)) +
  geom_bar() +
  labs(title = "Distribution of Teams", x = "Team", y = "Frequency") +
  theme(axis.text.x = element_text(angle = 90, hjust = 1))

normal distribution of team in sample 4

data <- sample_4
ggplot(sample_4, aes(x=FTR)) +
  geom_bar() +
  labs(title = "Distribution of Full time result of Teams", x = "Team", y = "Frequency") +
  theme(axis.text.x = element_text(angle = 90, hjust = 1))

analysis :We can see the distribution of full time results of teams in sample 3 and 4 is almost same.