Stanley Max

horizontal rule


Book arts Course material Current interests Earned degrees Test files Math links My photographs Publications TI-83/84 guides

Normal distributions
Two-sample μ and π
Two-sample σ
Linear regression

Chapter 10:
"Design of Experiments and Analysis of Variance"

We will perform ANOVA on the following data, which we pretend to be random samples drawn from four different populations.  Each of these samples represents a different treatment.

Sample 1 Sample 2 Sample 3 Sample 4
6.33 6.26 6.44 6.26
6.26 6.36 6.38 6.23
6.31 6.23 6.58 6.19
6.29 6.27 6.54 6.21
6.40 6.19 6.56  
  6.50 6.34  
  6.19 6.58  

We are testing the following hypotheses:

Step 1 (enter this data into four lists in the calculator):

Step 2:

Step 3 (results):

Hence, with such a small p-value barely more than 0.02% we can confidently reject the null hypothesis and conclude that a significant difference does exist between at least two of the treatments.


[Book arts]
[Course material]
[Current interests]
[Earned degrees]
[eps Files]
[Math links]
[My photographs]
[TI-83/84 guides]

[Normal distributions] [Two-sample μ and π] [Two-sample σ] [ANOVA] [Linear regression]

horizontal rule

University of Southern Maine

horizontal rule

Creative Commons License (2005, 2006, 2007, 2008, 2009, 2010) Stanley Max