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# Introduction

In this post my package ‘cricketr’ takes a swing at One Day Internationals(ODIs). Like test batsman who adapt to ODIs with some innovative strokes, the cricketr package has some additional functions and some modified functions to handle the high strike and economy rates in ODIs. As before I have chosen my top 4 ODI batsmen and top 4 ODI bowlers

You can also read this post at Rpubs as odi-cricketr. Dowload this report as a PDF file from odi-cricketr.pdf

**Batsmen**

- Virendar Sehwag (Ind)
- AB Devilliers (SA)
- Chris Gayle (WI)
- Glenn Maxwell (Aus)

**Bowlers**

- Mitchell Johnson (Aus)
- Lasith Malinga (SL)
- Dale Steyn (SA)
- Tim Southee (NZ)

I have sprinkled the plots with a few of my comments. Feel free to draw your conclusions! The analysis is included below

The profile for Virender Sehwag is 35263. This can be used to get the ODI data for Sehwag. For a batsman the type should be “batting” and for a bowler the type should be “bowling” and the function is getPlayerDataOD()

```
library(devtools)
install_github("tvganesh/cricketr")
library(cricketr)
```

The One day data for a particular player can be obtained with the getPlayerDataOD() function. To do you will need to go to ESPN CricInfo Player and type in the name of the player for e.g Virendar Sehwag, etc. This will bring up a page which have the profile number for the player e.g. for Virendar Sehwag this would be http://www.espncricinfo.com/india/content/player/35263.html. Hence, Sehwag’s profile is 35263. This can be used to get the data for Virat Sehwag as shown below

`sehwag <- getPlayerDataOD(35263,dir="..",file="sehwag.csv",type="batting")`

Analyses of Batsmen

The following plots gives the analysis of the 4 ODI batsmen

- Virendar Sehwag (Ind) – Innings – 245, Runs = 8586, Average=35.05, Strike Rate= 104.33
- AB Devilliers (SA) – Innings – 179, Runs= 7941, Average=53.65, Strike Rate= 99.12
- Chris Gayle (WI) – Innings – 264, Runs= 9221, Average=37.65, Strike Rate= 85.11
- Glenn Maxwell (Aus) – Innings – 45, Runs= 1367, Average=35.02, Strike Rate= 126.69

## Plot of 4s, 6s and the scoring rate in ODIs

The 3 charts below give the number of

- 4s vs Runs scored
- 6s vs Runs scored
- Balls faced vs Runs scored

A regression line is fitted in each of these plots for each of the ODI batsmen A. Virender Sehwag

```
par(mfrow=c(1,3))
par(mar=c(4,4,2,2))
batsman4s("./sehwag.csv","Sehwag")
batsman6s("./sehwag.csv","Sehwag")
batsmanScoringRateODTT("./sehwag.csv","Sehwag")
```

`dev.off()`

```
## null device
## 1
```

B. AB Devilliers

```
par(mfrow=c(1,3))
par(mar=c(4,4,2,2))
batsman4s("./devilliers.csv","Devillier")
batsman6s("./devilliers.csv","Devillier")
batsmanScoringRateODTT("./devilliers.csv","Devillier")
```

`dev.off()`

```
## null device
## 1
```

C. Chris Gayle

```
par(mfrow=c(1,3))
par(mar=c(4,4,2,2))
batsman4s("./gayle.csv","Gayle")
batsman6s("./gayle.csv","Gayle")
batsmanScoringRateODTT("./gayle.csv","Gayle")
```

`dev.off()`

```
## null device
## 1
```

D. Glenn Maxwell

```
par(mfrow=c(1,3))
par(mar=c(4,4,2,2))
batsman4s("./maxwell.csv","Maxwell")
batsman6s("./maxwell.csv","Maxwell")
batsmanScoringRateODTT("./maxwell.csv","Maxwell")
```

`dev.off()`

```
## null device
## 1
```

## Relative Mean Strike Rate

In this first plot I plot the Mean Strike Rate of the batsmen. It can be seen that Maxwell has a awesome strike rate in ODIs. However we need to keep in mind that Maxwell has relatively much fewer (only 45 innings) innings. He is followed by Sehwag who(most innings- 245) also has an excellent strike rate till 100 runs and then we have Devilliers who roars ahead. This is also seen in the overall strike rate in above

```
par(mar=c(4,4,2,2))
frames <- list("./sehwag.csv","./devilliers.csv","gayle.csv","maxwell.csv")
names <- list("Sehwag","Devilliers","Gayle","Maxwell")
relativeBatsmanSRODTT(frames,names)
```

## Relative Runs Frequency Percentage

Sehwag leads in the percentage of runs in 10 run ranges upto 50 runs. Maxwell and Devilliers lead in 55-66 & 66-85 respectively.

```
frames <- list("./sehwag.csv","./devilliers.csv","gayle.csv","maxwell.csv")
names <- list("Sehwag","Devilliers","Gayle","Maxwell")
relativeRunsFreqPerfODTT(frames,names)
```

## Percentage of 4s,6s in the runs scored

The plot below shows the percentage of runs made by the batsmen by ways of 1s,2s,3s, 4s and 6s. It can be seen that Sehwag has the higheest percent of 4s (33.36%) in his overall runs in ODIs. Maxwell has the highest percentage of 6s (13.36%) in his ODI career. If we take the overall 4s+6s then Sehwag leads with (33.36 +5.95 = 39.31%),followed by Gayle (27.80+10.15=37.95%)

## Percent 4’s,6’s in total runs scored

The plot below shows the contrib

```
frames <- list("./sehwag.csv","./devilliers.csv","gayle.csv","maxwell.csv")
names <- list("Sehwag","Devilliers","Gayle","Maxwell")
runs4s6s <-batsman4s6s(frames,names)
```

`print(runs4s6s)`

```
## Sehwag Devilliers Gayle Maxwell
## Runs(1s,2s,3s) 60.69 67.39 62.05 62.11
## 4s 33.36 24.28 27.80 24.53
## 6s 5.95 8.32 10.15 13.36
```

` `

## Runs forecast

The forecast for the batsman is shown below.

```
par(mfrow=c(2,2))
par(mar=c(4,4,2,2))
batsmanPerfForecast("./sehwag.csv","Sehwag")
batsmanPerfForecast("./devilliers.csv","Devilliers")
batsmanPerfForecast("./gayle.csv","Gayle")
batsmanPerfForecast("./maxwell.csv","Maxwell")
```

`dev.off()`

```
## null device
## 1
```

## 3D plot of Runs vs Balls Faced and Minutes at Crease

The plot is a scatter plot of Runs vs Balls faced and Minutes at Crease. A prediction plane is fitted

```
par(mfrow=c(1,2))
par(mar=c(4,4,2,2))
battingPerf3d("./sehwag.csv","V Sehwag")
battingPerf3d("./devilliers.csv","AB Devilliers")
```

`dev.off()`

```
## null device
## 1
```

```
par(mfrow=c(1,2))
par(mar=c(4,4,2,2))
battingPerf3d("./gayle.csv","C Gayle")
battingPerf3d("./maxwell.csv","G Maxwell")
```

`dev.off()`

```
## null device
## 1
```

## Predicting Runs given Balls Faced and Minutes at Crease

A multi-variate regression plane is fitted between Runs and Balls faced +Minutes at crease.

```
BF <- seq( 10, 200,length=10)
Mins <- seq(30,220,length=10)
newDF <- data.frame(BF,Mins)
sehwag <- batsmanRunsPredict("./sehwag.csv","Sehwag",newdataframe=newDF)
devilliers <- batsmanRunsPredict("./devilliers.csv","Devilliers",newdataframe=newDF)
gayle <- batsmanRunsPredict("./gayle.csv","Gayle",newdataframe=newDF)
maxwell <- batsmanRunsPredict("./maxwell.csv","Maxwell",newdataframe=newDF)
```

The fitted model is then used to predict the runs that the batsmen will score for a hypotheticial Balls faced and Minutes at crease. It can be seen that Maxwell sets a searing pace in the predicted runs for a given Balls Faced and Minutes at crease followed by Sehwag. But we have to keep in mind that Maxwell has only around 1/5th of the innings of Sehwag (45 to Sehwag’s 245 innings). They are followed by Devilliers and then finally Gayle

```
batsmen <-cbind(round(sehwag$Runs),round(devilliers$Runs),round(gayle$Runs),round(maxwell$Runs))
colnames(batsmen) <- c("Sehwag","Devilliers","Gayle","Maxwell")
newDF <- data.frame(round(newDF$BF),round(newDF$Mins))
colnames(newDF) <- c("BallsFaced","MinsAtCrease")
predictedRuns <- cbind(newDF,batsmen)
predictedRuns
```

```
## BallsFaced MinsAtCrease Sehwag Devilliers Gayle Maxwell
## 1 10 30 11 12 11 18
## 2 31 51 33 32 28 43
## 3 52 72 55 52 46 67
## 4 73 93 77 71 63 92
## 5 94 114 100 91 81 117
## 6 116 136 122 111 98 141
## 7 137 157 144 130 116 166
## 8 158 178 167 150 133 191
## 9 179 199 189 170 151 215
## 10 200 220 211 190 168 240
```

## Highest runs likelihood

The plots below the runs likelihood of batsman. This uses K-Means It can be seen that Devilliers has almost 27.75% likelihood to make around 90+ runs. Gayle and Sehwag have 34% to make 40+ runs. A. Virender Sehwag

A. Virender Sehwag

`batsmanRunsLikelihood("./sehwag.csv","Sehwag")`

```
## Summary of Sehwag 's runs scoring likelihood
## **************************************************
##
## There is a 35.22 % likelihood that Sehwag will make 46 Runs in 44 balls over 67 Minutes
## There is a 9.43 % likelihood that Sehwag will make 119 Runs in 106 balls over 158 Minutes
## There is a 55.35 % likelihood that Sehwag will make 12 Runs in 13 balls over 18 Minutes
```

B. AB Devilliers

`batsmanRunsLikelihood("./devilliers.csv","Devilliers")`

```
## Summary of Devilliers 's runs scoring likelihood
## **************************************************
##
## There is a 30.65 % likelihood that Devilliers will make 44 Runs in 43 balls over 60 Minutes
## There is a 29.84 % likelihood that Devilliers will make 91 Runs in 88 balls over 124 Minutes
## There is a 39.52 % likelihood that Devilliers will make 11 Runs in 15 balls over 21 Minutes
```

C. Chris Gayle

`batsmanRunsLikelihood("./gayle.csv","Gayle")`

```
## Summary of Gayle 's runs scoring likelihood
## **************************************************
##
## There is a 32.69 % likelihood that Gayle will make 47 Runs in 51 balls over 72 Minutes
## There is a 54.49 % likelihood that Gayle will make 10 Runs in 15 balls over 20 Minutes
## There is a 12.82 % likelihood that Gayle will make 109 Runs in 119 balls over 172 Minutes
```

D. Glenn Maxwell

`batsmanRunsLikelihood("./maxwell.csv","Maxwell")`

```
## Summary of Maxwell 's runs scoring likelihood
## **************************************************
##
## There is a 34.38 % likelihood that Maxwell will make 39 Runs in 29 balls over 35 Minutes
## There is a 15.62 % likelihood that Maxwell will make 89 Runs in 55 balls over 69 Minutes
## There is a 50 % likelihood that Maxwell will make 6 Runs in 7 balls over 9 Minutes
```

## Average runs at ground and against opposition

A. Virender Sehwag

```
par(mfrow=c(1,2))
par(mar=c(4,4,2,2))
batsmanAvgRunsGround("./sehwag.csv","Sehwag")
batsmanAvgRunsOpposition("./sehwag.csv","Sehwag")
```

`dev.off()`

```
## null device
## 1
```

B. AB Devilliers

```
par(mfrow=c(1,2))
par(mar=c(4,4,2,2))
batsmanAvgRunsGround("./devilliers.csv","Devilliers")
batsmanAvgRunsOpposition("./devilliers.csv","Devilliers")
```

`dev.off()`

```
## null device
## 1
```

C. Chris Gayle

```
par(mfrow=c(1,2))
par(mar=c(4,4,2,2))
batsmanAvgRunsGround("./gayle.csv","Gayle")
batsmanAvgRunsOpposition("./gayle.csv","Gayle")
```

`dev.off()`

```
## null device
## 1
```

D. Glenn Maxwell

```
par(mfrow=c(1,2))
par(mar=c(4,4,2,2))
batsmanAvgRunsGround("./maxwell.csv","Maxwell")
batsmanAvgRunsOpposition("./maxwell.csv","Maxwell")
```

`dev.off()`

```
## null device
## 1
```

## Moving Average of runs over career

The moving average for the 4 batsmen indicate the following

1. The moving average of Devilliers and Maxwell is on the way up.

2. Sehwag shows a slight downward trend from his 2nd peak in 2011

3. Gayle maintains a consistent 45 runs for the last few years

```
par(mfrow=c(2,2))
par(mar=c(4,4,2,2))
batsmanMovingAverage("./sehwag.csv","Sehwag")
batsmanMovingAverage("./devilliers.csv","Devilliers")
batsmanMovingAverage("./gayle.csv","Gayle")
batsmanMovingAverage("./maxwell.csv","Maxwell")
```

`dev.off()`

```
## null device
## 1
```

## Check batsmen in-form, out-of-form

- Maxwell, Devilliers, Sehwag are in-form. This is also evident from the moving average plot
- Gayle is out-of-form

`checkBatsmanInForm("./sehwag.csv","Sehwag")`

```
## *******************************************************************************************
##
## Population size: 143 Mean of population: 33.76
## Sample size: 16 Mean of sample: 37.44 SD of sample: 55.15
##
## Null hypothesis H0 : Sehwag 's sample average is within 95% confidence interval
## of population average
## Alternative hypothesis Ha : Sehwag 's sample average is below the 95% confidence
## interval of population average
##
## [1] "Sehwag 's Form Status: In-Form because the p value: 0.603525 is greater than alpha= 0.05"
## *******************************************************************************************
```

`checkBatsmanInForm("./devilliers.csv","Devilliers")`

```
## *******************************************************************************************
##
## Population size: 111 Mean of population: 43.5
## Sample size: 13 Mean of sample: 57.62 SD of sample: 40.69
##
## Null hypothesis H0 : Devilliers 's sample average is within 95% confidence interval
## of population average
## Alternative hypothesis Ha : Devilliers 's sample average is below the 95% confidence
## interval of population average
##
## [1] "Devilliers 's Form Status: In-Form because the p value: 0.883541 is greater than alpha= 0.05"
## *******************************************************************************************
```

`checkBatsmanInForm("./gayle.csv","Gayle")`

```
## *******************************************************************************************
##
## Population size: 140 Mean of population: 37.1
## Sample size: 16 Mean of sample: 17.25 SD of sample: 20.25
##
## Null hypothesis H0 : Gayle 's sample average is within 95% confidence interval
## of population average
## Alternative hypothesis Ha : Gayle 's sample average is below the 95% confidence
## interval of population average
##
## [1] "Gayle 's Form Status: Out-of-Form because the p value: 0.000609 is less than alpha= 0.05"
## *******************************************************************************************
```

`checkBatsmanInForm("./maxwell.csv","Maxwell")`

```
## *******************************************************************************************
##
## Population size: 28 Mean of population: 25.25
## Sample size: 4 Mean of sample: 64.25 SD of sample: 36.97
##
## Null hypothesis H0 : Maxwell 's sample average is within 95% confidence interval
## of population average
## Alternative hypothesis Ha : Maxwell 's sample average is below the 95% confidence
## interval of population average
##
## [1] "Maxwell 's Form Status: In-Form because the p value: 0.948744 is greater than alpha= 0.05"
## *******************************************************************************************
```

## Analysis of bowlers

- Mitchell Johnson (Aus) – Innings-150, Wickets – 239, Econ Rate : 4.83
- Lasith Malinga (SL)- Innings-182, Wickets – 287, Econ Rate : 5.26
- Dale Steyn (SA)- Innings-103, Wickets – 162, Econ Rate : 4.81
- Tim Southee (NZ)- Innings-96, Wickets – 135, Econ Rate : 5.33

Malinga has the highest number of innings and wickets followed closely by Mitchell. Steyn and Southee have relatively fewer innings.

To get the bowler’s data use

`malinga <- getPlayerDataOD(49758,dir=".",file="malinga.csv",type="bowling")`

# Wicket Frequency percentage

This plot gives the percentage of wickets for each wickets (1,2,3…etc)

```
par(mfrow=c(1,4))
par(mar=c(4,4,2,2))
bowlerWktsFreqPercent("./mitchell.csv","J Mitchell")
bowlerWktsFreqPercent("./malinga.csv","Malinga")
bowlerWktsFreqPercent("./steyn.csv","Steyn")
bowlerWktsFreqPercent("./southee.csv","southee")
```

`dev.off()`

```
## null device
## 1
```

## Wickets Runs plot

The plot below gives a boxplot of the runs ranges for each of the wickets taken by the bowlers. M Johnson and Steyn are more economical than Malinga and Southee corroborating the figures above

```
par(mfrow=c(1,4))
par(mar=c(4,4,2,2))
bowlerWktsRunsPlot("./mitchell.csv","J Mitchell")
bowlerWktsRunsPlot("./malinga.csv","Malinga")
bowlerWktsRunsPlot("./steyn.csv","Steyn")
bowlerWktsRunsPlot("./southee.csv","southee")
```

`dev.off()`

```
## null device
## 1
```

## Average wickets in different grounds and opposition

A. Mitchell Johnson

```
par(mfrow=c(1,2))
par(mar=c(4,4,2,2))
bowlerAvgWktsGround("./mitchell.csv","J Mitchell")
bowlerAvgWktsOpposition("./mitchell.csv","J Mitchell")
```

`dev.off()`

```
## null device
## 1
```

B. Lasith Malinga

```
par(mfrow=c(1,2))
par(mar=c(4,4,2,2))
bowlerAvgWktsGround("./malinga.csv","Malinga")
bowlerAvgWktsOpposition("./malinga.csv","Malinga")
```

`dev.off()`

```
## null device
## 1
```

C. Dale Steyn

```
par(mfrow=c(1,2))
par(mar=c(4,4,2,2))
bowlerAvgWktsGround("./steyn.csv","Steyn")
bowlerAvgWktsOpposition("./steyn.csv","Steyn")
```

`dev.off()`

```
## null device
## 1
```

D. Tim Southee

```
par(mfrow=c(1,2))
par(mar=c(4,4,2,2))
bowlerAvgWktsGround("./southee.csv","southee")
bowlerAvgWktsOpposition("./southee.csv","southee")
```

`dev.off()`

```
## null device
## 1
```

## Relative bowling performance

The plot below shows that Mitchell Johnson and Southee have more wickets in 3-4 wickets range while Steyn and Malinga in 1-2 wicket range

```
frames <- list("./mitchell.csv","./malinga.csv","steyn.csv","southee.csv")
names <- list("M Johnson","Malinga","Steyn","Southee")
relativeBowlingPerf(frames,names)
```

## Relative Economy Rate against wickets taken

Steyn had the best economy rate followed by M Johnson. Malinga and Southee have a poorer economy rate

```
frames <- list("./mitchell.csv","./malinga.csv","steyn.csv","southee.csv")
names <- list("M Johnson","Malinga","Steyn","Southee")
relativeBowlingERODTT(frames,names)
```

## Moving average of wickets over career

Johnson and Steyn career vs wicket graph is on the up-swing. Southee is maintaining a reasonable record while Malinga shows a decline in ODI performance

```
par(mfrow=c(2,2))
par(mar=c(4,4,2,2))
bowlerMovingAverage("./mitchell.csv","M Johnson")
bowlerMovingAverage("./malinga.csv","Malinga")
bowlerMovingAverage("./steyn.csv","Steyn")
bowlerMovingAverage("./southee.csv","Southee")
```

`dev.off()`

```
## null device
## 1
```

## Wickets forecast

```
par(mfrow=c(2,2))
par(mar=c(4,4,2,2))
bowlerPerfForecast("./mitchell.csv","M Johnson")
bowlerPerfForecast("./malinga.csv","Malinga")
bowlerPerfForecast("./steyn.csv","Steyn")
bowlerPerfForecast("./southee.csv","southee")
```

`dev.off()`

```
## null device
## 1
```

## Check bowler in-form, out-of-form

All the bowlers are shown to be still in-form

`checkBowlerInForm("./mitchell.csv","J Mitchell")`

```
## *******************************************************************************************
##
## Population size: 135 Mean of population: 1.55
## Sample size: 15 Mean of sample: 2 SD of sample: 1.07
##
## Null hypothesis H0 : J Mitchell 's sample average is within 95% confidence interval
## of population average
## Alternative hypothesis Ha : J Mitchell 's sample average is below the 95% confidence
## interval of population average
##
## [1] "J Mitchell 's Form Status: In-Form because the p value: 0.937917 is greater than alpha= 0.05"
## *******************************************************************************************
```

`checkBowlerInForm("./malinga.csv","Malinga")`

```
## *******************************************************************************************
##
## Population size: 163 Mean of population: 1.58
## Sample size: 19 Mean of sample: 1.58 SD of sample: 1.22
##
## Null hypothesis H0 : Malinga 's sample average is within 95% confidence interval
## of population average
## Alternative hypothesis Ha : Malinga 's sample average is below the 95% confidence
## interval of population average
##
## [1] "Malinga 's Form Status: In-Form because the p value: 0.5 is greater than alpha= 0.05"
## *******************************************************************************************
```

`checkBowlerInForm("./steyn.csv","Steyn")`

```
## *******************************************************************************************
##
## Population size: 93 Mean of population: 1.59
## Sample size: 11 Mean of sample: 1.45 SD of sample: 0.69
##
## Null hypothesis H0 : Steyn 's sample average is within 95% confidence interval
## of population average
## Alternative hypothesis Ha : Steyn 's sample average is below the 95% confidence
## interval of population average
##
## [1] "Steyn 's Form Status: In-Form because the p value: 0.257438 is greater than alpha= 0.05"
## *******************************************************************************************
```

`checkBowlerInForm("./southee.csv","southee")`

```
## *******************************************************************************************
##
## Population size: 86 Mean of population: 1.48
## Sample size: 10 Mean of sample: 0.8 SD of sample: 1.14
##
## Null hypothesis H0 : southee 's sample average is within 95% confidence interval
## of population average
## Alternative hypothesis Ha : southee 's sample average is below the 95% confidence
## interval of population average
##
## [1] "southee 's Form Status: Out-of-Form because the p value: 0.044302 is less than alpha= 0.05"
## *******************************************************************************************
```

`***************`

# Key findings

Here are some key conclusions **ODI batsmen**

- AB Devilliers has high frequency of runs in the 60-120 range and the highest average
- Sehwag has the most number of innings and good strike rate
- Maxwell has the best strike rate but it should be kept in mind that he has 1/5 of the innings of Sehwag. We need to see how he progress further
- Sehwag has the highest percentage of 4s in the runs scored, while Maxwell has the most 6s
- For a hypothetical Balls Faced and Minutes at creases Maxwell will score the most runs followed by Sehwag
- The moving average of indicates that the best is yet to come for Devilliers and Maxwell. Sehwag has a few more years in him while Gayle shows a decline in ODI performance and an out of form is indicated.

**ODI bowlers**

- Malinga has the highest played the highest innings and also has the highest wickets though he has poor economy rate
- M Johnson is the most effective in the 3-4 wicket range followed by Southee
- M Johnson and Steyn has the best overall economy rate followed by Malinga and Steyn 4 M Johnson and Steyn’s career is on the up-swing,Southee maintains a steady consistent performance, while Malinga shows a downward trend

Hasta la vista! I’ll be back!

Watch this space!

Also see my other posts in R

- Introducing cricketr! : An R package to analyze performances of cricketers
- cricketr digs the Ashes!
- A peek into literacy in India: Statistical Learning with R
- A crime map of India in R – Crimes against women
- Analyzing cricket’s batting legends – Through the mirage with R
- Mirror, mirror . the best batsman of them all?

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