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 Solution 1 1 13 22 18 39 16 24 17 44 3 1 22 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. We should use a one-way ANOVA using Solution as the Factor.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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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
Solution
1
4
1
13
22
18
39
16
24
17
44
3
4
1
22
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.
O 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 Solution 1 4 1 13 22 18 39 16 24 17 44 3 4 1 22 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. O We should use a one-way ANOVA using Solution as the Factor.
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