As we know, we have a set of control measurement to get the pH at 6.5. However, these settings are not giving required result. So, within our accessible resources, we will conduct a factorial experiment on two levels to find the best setting to get the pH reach 6.5 +/- 0.5. The details of the plan are given below.
In this experiment, we will make slight changes into the variables of temperature, pressure and process time. By using the formula we have to find the coefficient and the estimated effect. We will design this experiment with the lowest settings for all the variables.
Temperature (°F): Range: 100
Process Time (min): Range: 3
Pressure (psi): Range: 120.
We will run the batch with these settings and look for the estimated effects.
For this level we shall use the highest setting for the batch. They are as follows:
Temperature (°F): Range: 130Process Time (min): Range: 10Pressure (psi): Range: 150
We need to find the estimated effect and coefficients for this setting too. This data will help us to build the response equation for the batch and eventually the best setting to achieve the optimum result.
There is one more possibility in this factorial design, in which we can use the moderate settings for all three variables and run the batch. The settings are as follows:
Temperature (°F): Range: 115Process Time (min): Range: 5Pressure (psi): Range: 135
The results of the entire three batches will help us decide the best settings to run the batch with. The best use of this design is to include all the possibility and find out the best results. Based on the results of these tests we can determine the best conditions to bring the pH to required level.
According to the normal plot graph, the E2 and E1 Effects show maximum responses. The coefficients for both of them are b2=2.5 and b1=2.5 and the average b0 of all the coefficient is 0.147. Based on these results we can say that the best variable settings to get the desired pH will be from the moderate settings.
If we take the calculated decision based on the above data, we can decide the best settings to get desired pH.
(Year, Month. Day ). In Factorial designs. Retrieved Jun. 22, 2014, from http://www.socialresearchmethods.net/kb/expfact.ph