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One Way ANOVA

One Way ANOVA is used to determine whether varying the levels or values of a single factor affect a process. The following data show the strength of a fibre with varying percentages of a synthetic material:

 1 2 3 4 5 15% 8 .7 9.8 12.2 12.9 9.5 20% 14.5 17.3 14.9 15.5 12.7 25% 16.0 13.8 18.3 17.2 18 30% 23.8 21.5 18.3 24.3 22.9 35% 9.0 14.3 10 14.3 7.1

An ANOVA analysis tests the hypothesis:

H0 The fibres are all of equal strength
H1 At least one of the fibres is of different strength

The analysis is:

 Source of Variation Sum of Squares Degrees of Freedom Mean Square F0 p-value Factor 448.32 4 112.08 21.78 0 Error 102.91 20 5.15 Total 551.23 24

The alternative hypothesis is accepted, at least one of the fibres has a different mean strength.

 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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