16. Summarize the results from an analysis (two-way ANOVA) performed on the data graphed below. Assume bigdifferences are significant and trivial differences are not.22.5-20.0-17.5-15.012.510.0-aMean y

Comment on the significant differences of factor-A1: There are 2 factors a1 and a2. The hypotheses to be tested are: Null hypothesis: H01: There is no main effect of factor a1. Alternative hypothesis: Ha1: There is a main effect of factor a1. From the given graph, the differences of a1 are big. So, there is a significant difference in the means of factor a1.Comment on the significant differences of factor-A2: The hypotheses to be tested are: Null hypothesis: H01: There is no main effect of factor a2. Alternative hypothesis: Ha1: There is a main effect of factor a2. From the given graph, the differences of a2 are trival. So, there is no significant difference in the means of factor a2. Comment on the interaction effect of factor-A1 and factor-A2: The hypotheses to be tested are: Null hypothesis: H01: There is no interaction effect between the factor a1 and factor a2. Alternative hypothesis: Ha1: There is a interaction effect between the factor a1 and factor a2. From the given graph, the two factors does not meet. So, there is no interaction in between the factora1 and factor a2.

Answered: 5. Summarize the results from an…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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16. Summarize the results from an analysis (two-way ANOVA) performed on the data graphed below. Assume big
differences are significant and trivial differences are not.
22.5-
20.0-
17.5-
15.0
12.5
10.0-
a
Mean y

Expert Solution

Step 1

Comment on the significant differences of factor-A1:

There are 2 factors a1 and a2.

The hypotheses to be tested are:

Null hypothesis:

H₀₁: There is no main effect of factor a1.

Alternative hypothesis:

H_a1: There is a main effect of factor a1.

From the given graph, the differences of a1 are big. So, there is a significant difference in the means of factor a1.

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