In designing an experiment, the researcher can often choose many different levels of the various factors in order to try to find the best combination at which to operate. As an illustration, suppose the researcher is studying a certain chemical reaction and can choose four levels of temperature, five different pressures, and two different catalysts. (a) To consider all possible combinations, how many experiments would need to be con- ducted? (b) Often in preliminary experimentation, each factor is restricted to two levels. With the three factors noted, how many experiments would need to be run to cover all possible combinations with each of the three factors at two levels? (Note: This is often called a 23 design.)

Biology: The Dynamic Science (MindTap Course List)
4th Edition
ISBN:9781305389892
Author:Peter J. Russell, Paul E. Hertz, Beverly McMillan
Publisher:Peter J. Russell, Paul E. Hertz, Beverly McMillan
Chapter6: Energy, Enzymes, And Biological Reactions
Section6.2: Free Energy And Spontaneous Reactions
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2. In designing an experiment, the researcher can often choose many different levels of the various
factors in order to try to find the best combination at which to operate. As an illustration,
suppose the researcher is studying a certain chemical reaction and can choose four levels of
temperature, five different pressures, and two different catalysts.
(a) To consider all possible combinations, how many experiments would need to be con-
ducted?
(b) Often in preliminary experimentation, each factor is restricted to two levels. With the
three factors noted, how many experiments would need to be run to cover all possible
combinations with each of the three factors at two levels? (Note: This is often called a
23 design.)
Transcribed Image Text:2. In designing an experiment, the researcher can often choose many different levels of the various factors in order to try to find the best combination at which to operate. As an illustration, suppose the researcher is studying a certain chemical reaction and can choose four levels of temperature, five different pressures, and two different catalysts. (a) To consider all possible combinations, how many experiments would need to be con- ducted? (b) Often in preliminary experimentation, each factor is restricted to two levels. With the three factors noted, how many experiments would need to be run to cover all possible combinations with each of the three factors at two levels? (Note: This is often called a 23 design.)
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