# Two Level Four Factors Factorial Sample Essay

1. 0Introduction
This papers intends to supply a speedy usher to find the factors/ interaction of factors that would hold statistically important consequence on the end product of involvement. A simple manner to make so is by building a normal chance secret plan of effects. Figure 1 is an illustration of such secret plan. Data points that fall along the consecutive line ( black points ) correspond to factorial effects with negligible influence on the end product ; while outliers that deviate greatly from the line ( ruddy points ) are factors/ interaction of factors that have a important consequence on the end product. Figure 1 illustrates that factors A. C. D. and the interaction between factors A and D. are primary factorial effects that influence the end product.

Figure 1: An illustration of normal chance secret plan
2. 0Experiment Design
The experiment of involvement purposes to measure the joint effects of four factors on injection modeling products’ critical dimension. The four factors are listed in Table 1. with an alphabet assigned to each factor for easy referral in this study. AMold Temperature

BHolding Pressure
CInjection Rate
DCooling Time

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Table1: Four factors under probe
Single replicate Factorial design is chosen for the probe as it provides the smallest figure of tallies for which thousand factors can be studied in a complete factorial design. With four factors of involvement. each at two degrees. an experimental measuring from each of intervention combinations are required for the analysis. Table 2 shows the scene of the four factors for all intervention combinations.

3. 0Construction of Normal Probability Pots
This subdivision provides direction on how to build a normal chance secret plan with measurings obtained from the intervention combination runs in Section 2. 0. Measure 1: Tabulate consequence estimations for each factorial consequence Formulas for the computation of consequence estimation of each factorial consequence can be determined from the factorial chart shown as Table 3. Sample computation of consequence estimations for factorial consequence A and AB are in Appendix A. Plus or minus marks in the Table 3 indicates the mark of each intervention combination term in the expression ; is the figure of replicates performed per intervention ( n=1 ) and is the figure of factors under probe ( n=4 ) .

**Note: Random Numberss are assigned as measuring values from each intervention combination run for presentation intent. One must replace the values in the tabular array with existent experiment observations one time all the intervention combination tallies are performed. Step 2: Rank the consequence estimations of all factorial effects in go uping order. Let be the consequence estimations resulted from measure 1. Arrange the values in an order of. such that is the smallest observation. with being the largest. Let be the entire figure of footings. Measure 3: Constructing the secret plan

Plot ( y-axis ) against the ordered values ( x-axis ) on a piece of normal chance paper. Pull a line of best tantrum through the aforethought points. When the best fit line is drawn. one should concentrate more on points near the center of the secret plan instead than the utmost points. A good of pollex is to pull the line about between the 25th and 75th percentile points. Measure 4: Detect the secret plan

Data points that deviate from the best fit line are factorial effects with important consequence on the end product.

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