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# Two-Way ANOVA

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You are the production manager of the Perfect Parachute Company. Parachutes are woven in your factory using a synthetic fiber purchased from one of four different suppliers. The most important outcome for parachutes is strength of the fabric. You must decide whether the synthetic fibers from your four suppliers result in parachutes of equal strength (one main effect). There are two types of looms in the factory: the Jetta and the Turk. Are the parachutes woven on the Jetta looms and those woven on the Turks looms equally strong (second main effect)? Also, are any differences in the strength of the parachute that can be attributed to the four suppliers dependent on the type of loom used (interaction effect)? You perform an experiment to answer these questions and must eventually decide which supplier and type of loom to use in order to manufacture the strongest parachutes. The data are attached:

Show the excel output needed and answer the following:

Are there main effects?
Is there an interaction effect?
What are the managerial implications of these findings?

##### Solution Preview

The two-way ANOVA table looks like this (also see Excel file):

ANOVA
Source of Variation SS df MS F P-value F crit
Main effect (Loom) 6.972 1 6.972 0.81 0.375 4.15
Main effect (Supplier) 134.349 3 44.783 5.2 0.005 2.9
Interaction effect (Loom * Supplier) 0.287 3 0.096 0.011 0.998 2.9
Error 275.592 32 8.612

Total 410.228 39

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(1) Are there main ...

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