Question

The following observations were obtained when conducting a two-way ANOVA experiment with no interaction.

					Factor A
Factor B				1				2				3				4				X¯¯¯jX¯j for Factor B
	1				1				4				1				1				1.750
	2				9				9				10				7				8.750
	3				13				11				12				14				12.500
X−iX−i for Factor A				7.667					8.000				7.667			7.333				X¯¯¯¯¯¯¯ = 7.6667X¯¯⁢ = 7.6667

a. Calculate SST, SSA, SSB, and SSE. (Round intermediate calculations to at least 4 decimal places. Round your answers to 2 decimal places.)

b. Calculate MSA, MSB, and MSE. (Round intermediate calculations to at least 4 decimal places. Round your answers to 2 decimal places.)

c. Construct an ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "SS", "MS" to 2 decimal places, "F" 3 decimal places.)

ANOVA
Source of Variation		SS	df	MS	F	p-value	F crit
Rows
Columns
Error
Total

d. At the 1% significance level, do the levels of Factor B differ?

• Yes, since we reject the null hypothesis.

• No , since we reject the null hypothesis.

• Yes, since we do not reject the null hypothesis.

• No, since we do not reject the null hypothesis.

e. At the 1% significance level, do the levels of Factor A differ?

• Yes, since we reject the null hypothesis.

• No, since we reject the null hypothesis.

• Yes, since we do not reject the null hypothesis.

• No, since we do not reject the null hypothesis.

Answer 1