University:
California State University, Northridge
Course:
ME 296A-Z | Experimental Topics Courses in Mechanical Engineering
Academic year:

2024
Views:

442

Pages:

8
Author:

Brandon Owen

13-3: The Random-Effects Model 13-3.1 Fixed versus Random Factors 32 13-3: The Random-Effects Model 13-3.2 ANOVA and Variance Components The linear statistical model is The variance of the response is Where each term on the right hand side is called a variance component. 33 13-3: The Random-Effects Model 13-3.2 ANOVA and Variance Components For a random-effects model, the appropriate hypotheses to test are: The ANOVA decomposition of total variability is still valid: 34 13-3: The Random-Effects Model 13-3.2 ANOVA and Variance Components The expected values of the mean squares are 35 13-3: The Random-Effects Model 13-3.2 ANOVA and Variance Components The estimators of the variance components are 36 13-3: The Random-Effects Model Example 13-4 37 13-3: The Random-Effects Model Example 13-4 38 13-3: The Random-Effects Model Figure 13-8 The distribution of fabric strength. (a) Current process, (b) improved process. 39