Question

Consider the following computer output for an experiment. The factor was tested over four levels. Answer the following questions:

Source	SS	df	MS	F	P-value
Factor			330.47	3.01
Error
Total		35

(a) How many replicates did the experimenter use?

(b) Fill in the missing information in the ANOVA table.

(c) Calculate P-value bounds using tables and the exact value using EXCEL.

(d)What conclusions can you draw about differences in the factor-level means?

Answer 1

Part a

Replicate = 9

Part b and c

Source	SS	df	MS	F	P-value
Factor	991.41	3	330.47	3.01	0.044501
Error	3513.3023	32	109.7907
Total	4504.7123	35

P value is calculated using formula

=FDIST(3.01,3,32)

Part d

Since p value is less than 0.05 i.e level of significance , we reject the null hypothesis and conclude that there is significant difference between factor- 4 level mean.