For a factorial experiment involving 2 levels of Factor A and 3 levels of Factor B, a partially completed 2-Way ANOVA table is shown below. Source of Variation SS df MS F Factor A --- Factor B 88.17 Interaction (A*B) 136.17 Error 26.50 Total 302.92 11 1) What is the sum of squares due to Factor A? 2) What are the degrees of freedom for Factor B and the Interaction (A*B)? 3) How many treatment combinations are there in the experiment and how many replicates for each treatment combination? 4) Perform the F- test on Interaction between A and B. Is the Interaction significant (α = 0.05)? Please show all the relevant calculations. 5) Perform the F- test on the Factor ‘B’. Is the Factor 'B' significant (α=0.05)? Please show all the relevant calculations.

For a factorial experiment involving 2 levels of Factor A and 3 levels of Factor B, a partially completed 2-Way ANOVA table is shown below. Source of Variation SS df MS F Factor A --- Factor B 88.17 Interaction (AB) 136.17 Error 26.50 Total 302.92 11 1) What is the sum of squares due to Factor A? 2) What are the degrees of freedom for Factor B and the Interaction (AB)? 3) How many treatment combinations are there in the experiment and how many replicates for each treatment combination? 4) Perform the F- test on Interaction between A and B. Is the Interaction significant (α = 0.05)? Please show all the relevant calculations. 5) Perform the F- test on the Factor ‘B’. Is the Factor 'B' significant (α=0.05)? Please show all the relevant calculations.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Source of Variation	SS	df	MS	F
Factor A	---
Factor B	88.17
Interaction (A*B)	136.17
Error	26.50

Total	302.92	11