The article "Efficient Pyruvate Production by a Multi-Vitamin Auxotroph of Torulopsis glabrata: Key Role and Optimization of Vitamin Levels" (Y. Li, J. Chen, et al., Applied Microbiology and Biotechnology, 2001:680-685) investigates the effects of the levels of several vitamins in a cell culture on the yield (in g/L) of pyruvate, a useful organic acid. The data in the following table are presented as two replicates of a 23 design. The factors are A: nicotinic acid, B: thiamine, and C: biotin. (Two statistically insignificant factors have been dropped. In the article, each factor was tested at four levels; we have collapsed these to two.) в Mean Yield Yields 0.55, 0.49 A. -1 -1 -1 0.520 -1 -1 0.60, 0.42 0.37, 0.28 0.30, 0.28 0.54, 0.54 0.54, 0.47 0.44, 0.33 0.36, 0.20 0.510 0.325 0.290 -1 -1 -1 -1 -1 1. 0.540 -1 0.505 -1 0.385 0.280 Compute estimates of the main effects and interactions, and the sum of squares and P- value for each. a. b. Is the additive model appropriate? C. What conclusions about the factors can be drawn from these results?
The article "Efficient Pyruvate Production by a Multi-Vitamin Auxotroph of Torulopsis glabrata: Key Role and Optimization of Vitamin Levels" (Y. Li, J. Chen, et al., Applied Microbiology and Biotechnology, 2001:680-685) investigates the effects of the levels of several vitamins in a cell culture on the yield (in g/L) of pyruvate, a useful organic acid. The data in the following table are presented as two replicates of a 23 design. The factors are A: nicotinic acid, B: thiamine, and C: biotin. (Two statistically insignificant factors have been dropped. In the article, each factor was tested at four levels; we have collapsed these to two.) в Mean Yield Yields 0.55, 0.49 A. -1 -1 -1 0.520 -1 -1 0.60, 0.42 0.37, 0.28 0.30, 0.28 0.54, 0.54 0.54, 0.47 0.44, 0.33 0.36, 0.20 0.510 0.325 0.290 -1 -1 -1 -1 -1 1. 0.540 -1 0.505 -1 0.385 0.280 Compute estimates of the main effects and interactions, and the sum of squares and P- value for each. a. b. Is the additive model appropriate? C. What conclusions about the factors can be drawn from these results?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The article "Efficient Pyruvate Production by a Multi-Vitamin Auxotroph of Torulopsis
glabrata: Key Role and Optimization of Vitamin Levels" (Y. Li, J. Chen, et al., Applied
Microbiology and Biotechnology, 2001:680-685) investigates the effects of the levels of
several vitamins in a cell culture on the yield (in g/L) of pyruvate, a useful organic acid. The
data in the following table are presented as two replicates of a 23 design. The factors are A:
nicotinic acid, B: thiamine, and C: biotin. (Two statistically insignificant factors have been
dropped. In the article, each factor was tested at four levels; we have collapsed these to
two.)
в
Mean Yield
Yields
0.55, 0.49
A.
-1
-1
-1
0.520
-1
-1
0.60, 0.42
0.37, 0.28
0.30, 0.28
0.54, 0.54
0.54, 0.47
0.44, 0.33
0.36, 0.20
0.510
0.325
0.290
-1
-1
-1
-1
-1
1.
0.540
-1
0.505
-1
0.385
0.280
Compute estimates of the main effects and interactions, and the sum of squares and P-
value for each.
a.
b.
Is the additive model appropriate?
C.
What conclusions about the factors can be drawn from these results?
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