Chapter 13 Quiz 0 a eztonteducationcom/hm.tpx 250 pon (Round all intermediate ca

Question

Chapter 13 Quiz 0 a eztonteducationcom/hm.tpx 250 pon (Round all intermediate calculations to at least 4 decimal places.) A researcher conducts a two -way ANOVA test with interaction and provides the following ANOVA table a. Find the missing values in the ANOVA table. (Round your answers to 2 decimal places ) crit MS of Variation 0.01043.885 778.91 2 Sample Columns12,42901MSA o 4.747 0.61003.885 MSAB 57.40 2 883.83 12 13.949.30 17 Interaction Wthin MSE- Total b. At the 5% signhance level, can you conclude that there is an interaction effect? O Yes, since the value of the F statistic for interaction is less than the oritical value Yes, since the value ofthe F statistic for interaction is greater than the critical value. O No, since the value of the F statistic for interaction is less than the oritical value. ONO, since the value ofthe F statistic for interacton greater than the critical value cAt the 5% sagnificance level, can you condude that the column means differ? Yes, since the value ofthe F statistic for Factor A is less than the crioal value O Yes, since the value of the F statistic for Factor A is greater than the orntical value O No since the value of the F statistio for Factor A is less than the oritical value O No, since the value of the F staiato for Factor A is greater than the crntical value d. At the 5% sgnfcance level, can you conctude that the row (sample) means emer? O Yes, since the value of the F statistic for Factor 8 is less than the orisical value. O yes, since the value of she F statisie for Factor 8 is greater than the ontcal value O No. since the value of the F statistc for Factor e is less than the cntical value O No. since the value of the F stasistic for Factor B is greater than the critical value Type here to search g D

Explanation / Answer

a) ANOVA Table

b) Correct answer: Option (C)

c) Correct answer: Option (B)

d) Correct answer: Option (B)

Source Sum of square df Mean Square(MS) F-ratio P-value F-critical Sample 778.91 2 389.455 6.833243 0.01044453 3.885293835 Columns 12429.06 1 12429.06 218.076 0 4.747225347 Interaction 57.40 2 28.7 0.50356 0.61659567 3.885293835 Within 683.93 12 56.99416667 Total 13949.30 17

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