# Analysis of Variance with Interaction

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A manufacturing company designed a factorial experiment to determine whether the number of defective parts produced by two machines differed and if the number of defective parts produced also depended on whether the raw material needed by each machine was loaded manually or by an automatic feed system. The following data give the numbers of defective parts produced.

Use ? = .05 to test for any significant effect due to machine, load system, and interaction.

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##### Solution Summary

This solution illustrates two factor analysis of variance with replication using Excel Data Analysis Add-In.

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** Please see the attachment for the complete solution **

NB: The analysis is done using the Excel Data Analysis Tool. The manual computation of the ANOVA Table is a tedious task.

Procedure to do the analysis in Excel

Step 1: Open the Excel file and enter the data (see the first sheet "Data").

Step 2: In Excel 2003 or earlier, pull down "Tools" to "Data Analysis" In Excel 2007 click on Data then Data Analysis.

Step 3: Select Anova: Two-factor With Replication.

Step 4: In the Dialog box, enter the ...

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