article in Industrial and Engineering Chemistry (“More on Planning Experiments to Increase Research Efficiency,” 1970, pp. 60-65) uses a 25-2 design to investigate the effect of A = condensation, B = amount of material 1, C = solvent volume, D = condensation time, and E = amount of material 2 on yield. The results obtained are as follows
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An article in Industrial and Engineering Chemistry (“More on Planning Experiments to Increase Research Efficiency,” 1970, pp. 60-65) uses a 25-2 design to investigate the effect of A = condensation, B = amount of material 1, C = solvent volume, D = condensation time, and E = amount of material 2 on yield. The results obtained are as follows:
|
e = |
23.2 |
ad = |
16.9 |
cd = |
23.8 |
bde = |
16.8 |
|
ab = |
15.5 |
bc = |
16.2 |
ace = |
23.4 |
abcde = |
18.1 |
a. Verify that the design generators used were I = ACE and I = BDE.
b. Write down the complete defining relation and the aliases for this design.
c. Estimate the main effects.
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- In Exercises 7-14, balance the chemical equation for each reaction. 12.1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.6. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.6 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 1 Food C 1 1 2An article in Industrial and Engineering Chemistry (“More on Planning Experiments to Increase Research Efficiency,” 1970, pp. 60-65) uses a 25-2 design to investigate the effect of A = condensation, B = amount of material 1, C = solvent volume, D = condensation time, and E = amount of material 2 on yield. The results obtained are as follows: e = 23.2 ad = 16.9 cd = 23.8 bde = 16.8 ab = 15.5 bc = 16.2 ace = 23.4 abcde = 18.1 Prepare an analysis of variance table. Assume all two-level and three-level interactions are negligible.
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