Example Problems

1) The management at a Porsche dealership wants to find out whether to keep an equal number of red, blue, and black Porsches on the lot.  Here are their records of how many red, black, and blue Porsches were purchased in the last 6 months.  Were an equal number of red, blue, and black Porches purchased?

Month Red Blue Black
January 4 2 10
February 6 1 9
March 7 3 7
April 6 4 11
May 8 4 12
June 10 3 9

Video solution to problem

slides for one way within subjects ANOVA demo 1

2) We want to know whether the time of year influences the DOW Jones index (indicates stock market activity).  Below is data indicating how the DOW performed in January, March, June, and September for 2009-2012.  Positive numbers mean the DOW Jones increased, and negative numbers mean the DOW Jones decreased.

Year January March June September
2012 -4.12 -2.60 -4.89 -3.45
2011 -3.15 -0.93 1.55 7.00
2010 3.63 -5.81 3.60 -7.72
2009 7.71 -5.52 0.55 -2.20

Video solution

slides for one way between subjects ANOVA demo 2

Answers

1) There is a difference in how many people purchased red, blue, and black cars (F (2,16) = 24.64, p < 0.05, eta squared = 0.77).

2) Month does not influence the Dow Jones index (F (3,12) = 0.80, p > 0.05, eta squared = 0.06).

More videos demonstrating hand calculations

 

Videos explaining how to complete a one way between subjects ANOVA source table

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