O BS: I just need the name of the experimental design for this experiment and a

Question

OBS: I just need the name of the experimental design for this experiment and a brief explanation. No calculations needed. Thank you.

4. (10 points) The yield of a chemical process is being studied. The two most important variables are thought to be the pressure and the temperature. Three levels of each factor are selected, and an experiment with two replicates is performed. The yield data follow: Pressure Temperature200215 230 90.4 90.7 90.2 90.2 90.6 90.4 90.1 90.5 89.9 90.3 90.6 90.1 90.5 90.8 90.4 90.7 90.990.1 150 160 170 Q. Determine the used experimental design in this experiment. Explain

Explanation / Answer

The experiment used is a 2 way ANOVA.

The Main Effects are Temperature and Pressure Where we take each Row and each column separately. This is not required in the 2 way Anova.

Here the treatments are the temperature and pressure and the effects are the yield. Here ther are 9 levels of treatments also known as Interactions eg at T = 150, P = 200, T = 150 P = 215, T = 150 P = 230

Then we have finally the Sum of Variations within the groups also called the error. All these together gives us the calculations required to solve the 2 way ANOVA.

A 2 way ANOVA table looks like this : This is just an example of a 2x3 ANOVA, i,e 2 rows and 3 columns.

Hope this helps.

SS df MS F P A 155.7 3 51.9 6.2751 0.0011 B 287.9 2 143.95 17.405 0.000002 AB 156.7 6 26.117 3.1577 0.0108 Within 397 48 8.2708 Total 997.3 59

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