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This chapter explain the test cricket team bowling and batting rating and team performance in 21st century. Further, it will be investigated how these measures of performance are vary during the 21st century. In addition, the effect of home-advantage, and winning a toss will be examined. Identify the different factors, home advantage is one of the most important factor, which effect on the team overall performance. Discuss the collection of data and selection of statistical models specifically linear regression model is used to model the bowling and batting ratting.
Therefore, detailed description of the logistic regression model with assessment measures being provided.
In sports, except baseball, cricket is more data than any other sport. Large amount of data are available for all formats of cricket at international, domestic and even regional level. For players there is ball-by-ball data are recorded. Data are recorded for all format of cricket like test cricket, one day cricket and T-20 cricket.
Data included the runs scored by batsmen, match played by ground, wickets taken by bowler, result of the match and also the batsmen dismissal information.
Data of the test matches played in 21st century will be collected from the Espncircinfo website. The data managements and cleansing will be done by purposely writing R code in the RStudio. The data will be grouped by five year each of the matches played in 21st century. For instance, group 1 will include all those matches played during 2000 to 2004, group 2 contained matches played during 2005 to 2009, group 3 includes matches of 2010 to 2014 and finally group 4 will include matches of 2015 to 2019.
Currently, twelve test playing nations are played today. Afghanistan and Ireland played less than 5 matches in a group will be excluded from the sample.
To rate test cricket teams the researcher will focus and attention on the first innings of test cricket only, where the researcher supposing that teams try to develop their performance to establish a sizable first-innings lead. This offers a reliable image of a team’s bowling and batting abilities since a team’s serious focus is the establishment of a first-innings lead. Second-innings performances of the test cricket teams are not being contemplate because teams understate to be more irritative in their access and accordingly adapt their style of play as a strategic response to what has occurred in the first innings.
As a result, a team’s second-innings batting and bowling performances are the shortage of consistent perspectives that is more clear in a team’s first innings. The following suggestion of Allsopp and Clarke  to estimate team ratings in test cricket in each group we will consider only team’s first innings runs (S). To estimate team performance the following Linear model will be used Where S is team’s first-innings score in a test match that is played between the batting team i and the bowling team j on ground k. The indices i, j,k =1,… ,10 represent the ten test playing nations. Asif and McHale used analogous modelling procedures to estimate International Twenty-20 teams performance. However, the response variable for the Twenty-20 International cricket data was the runs margin of victory, estimated using their proposed Generalized Non-Linear Forecasting model (GNLM).
The μ represents the mean score between teams on a neutral ground and a and b are the batting and bowling team ratings. Finally ℰ is the error term with zero mean and constant variance. Model adequacy check will be performed such as test for normality, autocorrelation and outlier detection. fThe ICC test ranking or ratting system for the test cricket is available an organized from. After the end of each series of ICC sanctioned international cricket matches every teams awarded rating points. The point are allocated at end of all test series and later on used to calculate a team ranking.
The rating of teams are done through points and the points allocated to each team after the completion of a series. In a series points, teams earn one point for won a match and half point for a draw. If the series consist the two or more matches than there is a bonus point for the winner of the series or half point for both teams if the series is tied. A test cricket series points are calculated by the specific formula which is available on ICC website. Rating team in a test cricket team total points divided by their total number of match’s team played at last two to four years. In this system of ICC ranking, there is, no points for a margin of victory
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