THE BOWMAN-SHELTON TEST FOR NORMALITY TESTING

 

By. M.A.Yulianto.*)

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

  then the decision is fail to reject null hypothesis meant that data have normal distribution.

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.

Solution:

Conclusion:  Data follow normal distribution with 95% level of confidence.

digensia000

 

See you in other writing sessions, have enjoying statistics.

Any questions, send to the e-mail address:  yuliantoyorki@yahoo.com

*)  Writer is a lecturer inInstituteofStatistics,Jakarta,Indonesia.

Bachelor of  Statistics fromInstituteofStatistics,Jakarta,Indonesia.

Master of Science in Experimental Statistics fromNMSU,USA.

 

 

4 thoughts on “THE BOWMAN-SHELTON TEST FOR NORMALITY TESTING

  1. This is a comment to the webmaster. I discovered your “THE BOWMAN-SHELTON TEST FOR NORMALITY TESTING digensia” page via Google but it was difficult to find as you were not on the first page of search results. I see you could have more visitors because there are not many comments on your site yet. I have found a website which offers to dramatically increase your rankings and traffic to your site: http://www.trafficforseo.com/web-traffic. I managed to get close to 1000 visitors/day using their services, you could also get lot more targeted traffic than you have now. I used their services and got significantly more visitors to my website. Hope this helps🙂 Take care.

  2. Pingback: Your Questions About Relationship Test | Signs You Met the Right One

    • sepertinya memang sama persis, bapak dapatkan formula ini dari buku “statistics for business and economics” karangan Paul Newbold edisi ketiga. formula ini tidak akan dibahas pada pertemuan dikelas, hanya uji Jarque Bera karena uji ini lebih popular dari pada uji Bowman Shelton.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s