Question: An article in Industrial and Engineering Chemistry [Factorial Experiments in Pilot Plant Studies (1951, pp. 13001306)] reports on an experiment to investigate the effect of

An article in Industrial and Engineering Chemistry [€œFactorial Experiments in Pilot Plant Studies€ (1951, pp. 1300€“1306)] reports on an experiment to investigate the effect of temperature (A), gas throughput (B), and concentration (C) on the strength of product solution in a recirculation unit. Two blocks were used with ABC confounded, and the experiment was replicated twice. The data follow.

(a) Analyze the data from this experiment.

Replicate 1 Block 1 Block 2 a = 18 b = 51

(b) Analyze the residuals and comment on model adequacy.

(c) Comment on the efficiency of this design. Note that we have replicated the experiment twice, yet we have no information on the ABC interaction.

(d) Suggest a better design, specifically one that would provide some information on all interactions.

Replicate 1 Block 1 Block 2 a = 18 b = 51 c = 108 abc = 35 (1) = 99 ab = 52 ac = 42 bc = 95

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