Question

4. + -/16.66 points ASWSBE 1313E029 My Notes Ask Your Teacher You may need to use the appropriate technology to answer this question The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST 283, SSA = 28, SSB = 23, SSAB = 177' Set up the ANOVA table. (Round your values for mean squares and F to two decimal places, and your p-values to three decimal places.) Source of Variation Degrees of Freedom Sum Mean p-value of Squares Square Factor A Factor B Interaction Error Total Test for any significant main effects and any interaction effect. Use a 0.05 Find the value of the test statistic for factor A. (Round your answer to two decimal places.) Find the p-value for factor A. (Round your answer to three decimal places.) p-value- State vour conclusion about factor A Because the p-value α 0.05, factor A is significant. Because the p-value > α-0.05, factor A is significant. Because the p-value a 0.05, factor A is not significant Because the p-value 0.05, factor A is not significant Find the value of the test statistic for factor B. (Round your answer to two decimal places.) Find the p-value for factor B. (Round your answer to three decimal places.) p-value -

Answer 1

from above:

Source	SS	df	MS	F	p vlaue
Factor A	28	3	9.33	4.07	0.018
Factor B	23	2	11.50	5.02	0.015
Interaction	177	6	29.50	12.87	0.000
error	55	24	2.29
total	283	35

test statistic for Factor A =4.07

p value =0.018

because the p value <=alpha; factor A is significant

test statistic for Factor B =5.02

p value =0.015

because the p value <=alpha; factor B is significant

test statistic for interaction =12.87

p value =0.000

because the p value <=alpha; interaction is significant