While reviewing staffing plans for a new pilot plant Colin C

While reviewing staffing plans for a new pilot plant, Colin Chenaux, VP of Operations at Clovis Chemicals, Inc., designed an experiment to test the effects of \"supervisor\'s style\" and \"training method\" on the productivity of operators. The treatment levels were: (1) authoritarian, and participatory for supervisor\'s style, and (2) technical manuals, training films, and multimedia for training method. A number of qualified applicants were randomly selected and assigned to each of the six cells. Analysis of Colin\'s data produced the following ANOVA table.

Source of Variation

SS

df

MS

F

Rows (supervisor\'s style)

410.8889

Column (training method)

120.7778

Interaction

2.111111

Within

109.3333

Total

643.1111

17

Are there interactions?

Which one of the factors (attributes) contributes more to understanding overall variation in productivity?

Would you need to do multiple comparisons for supervisory style as well as for training method to understand which method works the best in improving productivity?

Solution

a)

The interactions are insignificant as assuming 0.05 level of significance, F-value is less than the critical value

b)

authoritarian, and participatory for supervisor\'s style contributes more to understanding

c)

Yes , since both the Supervisor and training method are stastically significant as the data suggests