lab3 - STA 8200 Design of Experiments for Research Workers...

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STA 8200 — Design of Experiments for Research Workers Lab 3 – Due Friday, October 1 Example: As part of the production of a liquid medication, the producer, a large pharmaceutical company, mixes batches of medication in large vats. To determine the degree to which their product is consistent from batch to batch, the company takes a random sample of five batches from a month’s production. From each batch four samples were obtained and for each sample, an important characteristic of the medication was measured, yielding the data below. Batch 1 2 3 4 5 3.2 2.6 3.4 4.2 1.8 3.8 2.9 3.9 4.4 2.3 3.5 2.8 3.3 4.3 1.9 3.0 2.0 3.1 4.2 2.1 The file “drug.sas” contains a SAS program for analyzing these data with a one-way random effects ANOVA model. Copy this program from the public data directory to your home directory and run the program in SAS. drug.sas illustrates the use of both PROC GLM and PROC MIXED to implement the one-way random effects ANOVA model. First, we use PROC GLM: To test H 0 : σ 2 a = 0, the hypothesis that there is no batch-to-batch variability we use F = MS A /MS E = 2 . 987 / 0 . 0918 = 32 . 53 (p.2 of the output). Comparing this statistic to its distribution, F ( a - 1 ,N - a ) = F (4 , 15) gives a p - value of less than 0.0001, so we reject the null hypothesis and conclude that there is significant batch-to-batch variability. To estimate the variance components: We estimate the within-batch variance (the error
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lab3 - STA 8200 Design of Experiments for Research Workers...

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