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Activity Number: 611
Type: Contributed
Date/Time: Thursday, August 2, 2012 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistical Education
Abstract - #305805
Title: Developing a Test of Normality in the Classroom
Author(s): Robert Jernigan*+
Companies: American University
Address: 4400 Massachusetts Ave., NW, Washington, DC, 20016, United States
Keywords: simulation ; quantile plot ; QQ plot ; correlation

Many basic statistics textbooks assess normality with QQ plots with this advice: a quantile plot close to a straight line, indicates normality. But "how close to a straight line" is not addressed. As a review of hypothesis testing in a second semester undergrad course in statistics, we develop, in class, the test of normality due to Filliben (1975), using the correlation coefficient of the QQ plot. The development starts with the data set of MacDonald and Schwing (1973) demonstrating a variety of histogram and QQ plot shapes. First, students classify histograms and QQ plots based on their intuition of normality. They also classify based on QQ plot correlations. Then, students randomly generate samples from the standard normal distribution and calculate the QQ plot correlation to generate its sampling distribution. For these data their intuition about normality closely matches both their

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