Question

A Lighting company seeks to study the percentage of the defective glass shells being manufactured. Theoretically, the percentage of defectives is dependent on temperature, humidity, and the level of artisan expertise. Complete historical data are available for the following variables on a daily basis for a year.

a. Temperature (high, normal, low)

b. Humidity (high, normal, low)

c. Artisan expertise (expert, average, mediocre)

Some experts feel that defectives also depend on productive supervisors. However, data on supervisors in charge are available for only 242 of the 365 days. How should you conduct this study?

Step 1

Since we have the data on 3 factors (temperature, humidity and expertise) and each of the factors have 3 levels so we can make use of a full factorial design study here by just taking the 2 levels of each factor (hi and lo) and finding the mean defectives in each cell (assuming same number of data points in each cell) as given below:

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