Middle-East Journal of Scientific Research 19 (3): 373-377, 2014
ISSN 1990-9233
© IDOSI Publications, 2014
DOI: 10.5829/idosi.mejsr.2014.19.3.13609
Corresponding Author: Muhammad Daniyal, Department of Statistics,
The Islamia University of Bahawalpur, Pakistan.
373
Analysis of Cricket Scores Using Statistical Control Charts
Muhammad Daniyal, Tahir Nawaz and Muhammad Rajab
Department of Statistics,
The Islamia University of Bahawalpur, Pakistan
Abstract: Today’s in cricket, the performance of the teams is being analyzed by using very simple statistical
tools and graphics. Most of the times, the average scores, strike rates, coefficient of variation and graphical
measures are being utilized to measure the performance and to make comparisons between different teams.
The main focus of this research paper is to provide the application of statistical quality control charts in
analyzing the performance of the team by using its batting scores. For this purpose, we analyzed the scores of
Pakistan cricket team. We used individual and moving range control charts because it may be applied in
normal conditions otherwise false special cause signals can be generated. We then used the basic sensitizing
rules to check whether the un-natural or non random variations are present in the batting scores or not. We will
provide the specialists of this game an opportunity to check for the reasons for the un-natural and non random
behavior in the batting scores so that in future the performance can be improved.
Key words: Scores Performance Moving range control charts Individual control charts Graphical
displays Assignable cause and normality
INTRODUCTION of (de Silva and Swartz, 1997). The methods of prediction
Cricket has become one of the world class famous Graphical representation of the results are mentioned in
and popular games. It is the game of bat and ball which the research study of [11-14]. The performance of batting
includes eleven players. Most of analysis is being is keenly measured by the method of batting average
conducted to measure the performance of the teams and scores and various scholars and researchers have used
individual players from all perspectives. Different sites are strike rate and the average score of batsman as a
available which include the complete information and measure of performance e.g [15, 16]. Bar and Kantor used
time to time record of every event of the cricket. The a new idea of graphical representation of the results
experts of this game give their opinions in the light of with the strike rate on one axis and the probability of
this information. As far as the ODI career of Pakistan team getting out on the other axis. In this two dimensional
is concerned, it started its one day career in 1972/1973. It structure, they created the criteria for the selection of the
is ranked at 6 position according to ICC criteria in one batsman which combines together the average and strike
th
day with 2620 points and 105 rating [1]. rate [17-12]. [18] gave a measure which is based on both
The performance of the players and teams in cricket averages and consistencies. [19] concluded in his
has been analyzed with the help of very simple statistical research study that the batting average can not be
tools. During the few years back, a huge study and work reasonable or satisfactory in the case of a small amount of
has been conducted to measure the performance of the scores if the player had a large percentage of not out
teams and the prediction of their performance in the next scores.
series. The utilization of other sources are given in The present research gives the application of
Duckworth/Lewis approach [2] its references, [3-5]. The statistical quality control charts as compared to the simple
batting orders with optimality are mentioned in [6] and in statistical measures for measuring the batting performance
(Normanand Clarke, 2010), different batting strategies of Pakistan team. It will help us to see the non random
using the dynamic programming [7-3], what kind of impact pattern and un-natural variation in the scores of Pakistan
will have winning the toss first are discussed in the study team which will help the experts to make some decisions.
and forecasting can be found in the study of [8-10].