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Abstract Details
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Activity Number:
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73
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Type:
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Contributed
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Date/Time:
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Sunday, July 29, 2012 : 4:00 PM to 5:50 PM
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Sponsor:
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Section on Statistical Education
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| Abstract - #305065 |
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Title:
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Do Normal Probability Plots Tell the 'Truth' When Sample Sizes Are Small?
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Author(s):
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Ananda Jayawardhana*+
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Companies:
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Pittsburg State University
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Address:
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1701 South Broadway, Pittsburg, KS, 66762, United States
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Keywords:
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Probability plots ;
Correlation test for normality ;
Elementary statistics
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Abstract:
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Most of the modern introductory statistics books discuss the use of normal probability plots to assess the normality of a set of data, informally. Textbook authors describe that if the population which the data came from is normal, then the pattern of the points should be reasonably close to a straight line and the pattern should not have a symmetric pattern that is not a linear pattern. Instructors could teach that if the requirement of normality is not too strict one can be satisfied with the linearity of the plot and otherwise one has to conduct other advanced procedures to test for normality. Recognizing the pattern is a subjective decision. Few authors (e.g. Weiss) warn that the above guidelines should be interpreted loosely for small sample sizes but usually strictly for large sample sizes. How large is large? Peck and Devore discuss using the correlation test to check for normalit
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