Consider the data from the first replicate of Exercise 14-15, assuming that four blocks are required. Confound

Question:

Consider the data from the first replicate of Exercise 14-15, assuming that four blocks are required. Confound ABD and ABC (and consequently CD) with blocks.

(a) Construct a design with four blocks of four observations each.

(b) Analyze the data.


Exercise 14-15

Four factors are thought to influence the taste of a soft-drink beverage: type of sweetener (A), ratio of syrup to water (B), carbonation level (C), and temperature (D). Each factor can be run at two levels, producing a 24 design. At each run in the design, samples of the beverage are given to a test panel consisting of 20 people. Each tester assigns the beverage a point score from 1 to 10. Total score is the response variable, and the objective is to find a formulation that maximizes total score. Two replicates of this design are run, and the results are shown in the table. Analyze the data and draw conclusions. Use a = 0.05 in the statistical tests.

Replicate Treatment Combination II (1) 159 163 168 175 a 158 163 ab 166 168 175 178 179 183 ac bc 173 168 abc 179 182 16

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Applied Statistics And Probability For Engineers

ISBN: 9781118539712

6th Edition

Authors: Douglas C. Montgomery, George C. Runger

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