DENG801: Advanced Data Analysis-Case Study and Report - Statistics Assignment Help

Assignment Task

Part I: 2⁴ Full Factorial Design

1. Create the design matrix for 2⁴ factorial design. The following data may be used for creating the 2⁴ factorial design matrix table:

2. Calculate the main effects and their percentage contribution. Also find the sum of squares for each case.
3. Can you apply F-test for this case study application? If not, suggest a potential solution.
4. Draw the normal probability plot of the effects.
5. Make comments about significant factors and interactions based on the observations from normal probability plot.
6. Plot the main effect of significant factors and interactions.
7. Identify which factors are not important and remove them. After removal of unimportant factors, redesign the experiments with new factors. Prepare a table of factor effect estimate, sum of squares and run ANOVA test.
8. . Prepare a regression model that represent predicted or best fit value for flash formation. Include only significant factor and interactions.
9. Check the model adequacy by normal probability plot of residuals and residuals versus predicted value of flash size

Part II: 2^4-1 Fractional Factorial Design

1. Prepare a fractional factorial design table and calculate the residuals.
2. Estimate the effects and prepare the aliased structure.
3. Plot the normal probability of main effects.
4. Based on the above analysis, build a predictive regression model for the flash size.

Part III: PowerPoint Presentation

Put together a summary of the entire DOE procedure followed for both full factorial and fractional factorial design and comment which one is better. Make a PowerPoint presentation of the entire solution procedure for both full factorial and fractional factorial design. Send your recorded presentation using the following link.

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