This test is used for testing the normality of data. Normality of data is one of the standarded assumptions that has to be fulfilled in many statistics tests such as t test and F test. The main reason that assumption of normality is needed in many statistics testings, because those testings procedure is based on distribution which comes from normal distribution. The Bowman-Shelton test uses skewness and kurtosis measurements. Bowman-Shelton statistics follows chi-square distribution with two degrees of freedom for large sample. The null hypothesis in this test is data follow normal distribution.
The formula of Bowman-Shelton
Example: financial capital of 30 enterprises (in million US$)
56 58 60 64 54 52 50 40 57 53
65 50 53 52 66 45 55 54 65 56
55 57 48 63 51 55 44 58 54 60
Are those data follow normal distribution? Using α = 0,05.
Conclusion: Data follow normal distribution with 95% level of confidence.
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*) Writer is a lecturer inInstituteofStatistics,Jakarta,Indonesia.
Bachelor of Statistics fromInstituteofStatistics,Jakarta,Indonesia.
Master of Science in Experimental Statistics fromNMSU,USA.