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:: Home ::Six Sigma ::SIX SIGMA GLOSSARY: Two Way (ANOVA) :: CURRENT STUDENTS LOGIN

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Two Way ANOVA
 

In the One Way ANOVA example the five replications within each row were all taken under the same test conditions. Consider the example where three treatments are evaluated on four different patients:

Therapy
Andrew
Belinda
Chris
Dave
Relaxed
110
140
100
130
Normal
115
150
105
135
High Intensity
117
155
100
135

The hypothesis is:

H0 The therapies all give the same result
H1 At least one of the therapies gives a different response

Use a level of significance of 0.05.

The patients are all different, and a 'One Way ANOVA' would not cause the null hypothesis to be rejected. However a two way ANOVA separates the variation due to the therapy from that due to different patient characteristics:

Source of Variation

Sum of Squares

Degrees of Freedom

Mean Square

F0

p-value

Therapy

113.17

2

56.58

5.40

0.046
Patient
3832.67
3
1277.56
121.99
0

Error

62.83

6

10.47

Total

4008.67

11

 

The null hypothesis is rejected, the therapies give different results at the 0.05 level of significance.

 

Analysis of Variance (ANOVA) is covered in the MiC Quality online course Advanced Statistics. The use of ANOVA in experimental design is covered in the MiC Quality Design of Experiments course.

Try out our courses by taking the first module of the Primer in Statistics free of charge.

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