Question 5) Select the correct statement below. O We should use a randomized block design using a two-way ANOVA model without an interaction term between Solution and Day and with a blocking factor for Days. O We should use a randomized block design using a two-way ANOVA model without an interaction term between Solution and Day and with a blocking factor for Solution. O We should use a randomized block design using a two-way ANOVA model without an interaction term between Solution and Day and with a blocking factor for Bacteria growth.

MATLAB: An Introduction with Applications
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please provide explanation aswell if possible, 

 

thank you so much!

Use the following description for Questions 5-6.
Three different washing solutions are being compared to study their effectiveness in retarding bacteria growth in five-gallon milk containers.
The analysis is done in a laboratory, and only three trials can be run on any day. Because days could represent a potential source of
variability, the experimenter decides to use a model that reduces experimental error (and hence increases precision) by grouping days into
blocks. Observations are taken for four days, values in table below show measurement of effectiveness (bacteria growth rate after using the
solution) for each day and solution type.
Days
2
Solution
1
4
1
13
22
18
39
16
24
17
44
5
4
1
22
Question 5)
Select the correct statement below.
We should use a randomized block design using a two-way ANOVA model without an interaction term between Solution and Day and
with a blocking factor for Days.
We should use a randomized block design using a two-way ANOVA model without an interaction term between Solution and Day and
with a blocking factor for Solution.
We should use a randomized block design using a two-way ANOVA model without an interaction term between Solution and Day and
with a blocking factor for Bacteria growth.
We should use a one-way ANOVA using Solution as the Factor.
Transcribed Image Text:Use the following description for Questions 5-6. Three different washing solutions are being compared to study their effectiveness in retarding bacteria growth in five-gallon milk containers. The analysis is done in a laboratory, and only three trials can be run on any day. Because days could represent a potential source of variability, the experimenter decides to use a model that reduces experimental error (and hence increases precision) by grouping days into blocks. Observations are taken for four days, values in table below show measurement of effectiveness (bacteria growth rate after using the solution) for each day and solution type. Days 2 Solution 1 4 1 13 22 18 39 16 24 17 44 5 4 1 22 Question 5) Select the correct statement below. We should use a randomized block design using a two-way ANOVA model without an interaction term between Solution and Day and with a blocking factor for Days. We should use a randomized block design using a two-way ANOVA model without an interaction term between Solution and Day and with a blocking factor for Solution. We should use a randomized block design using a two-way ANOVA model without an interaction term between Solution and Day and with a blocking factor for Bacteria growth. We should use a one-way ANOVA using Solution as the Factor.
Expert Solution
Step 1

The main objective of an ANOVA (one-way) is to compare the means of more than two means to identify whether there is a statistically significant difference in the means. Additionally, for two-way ANOVA, three or more populations can be compared based on the means of two different factors.

Moreover, for ANOVA  all observations used are independent. But when measuring some observations on the same individuals, then they are no longer independent and therefore, ANOVA cannot be used anymore.

In this case observations are taken for four days to measure of effectiveness (bacteria growth rate after using the solution) for each day when solution type is given.

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