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Design and Analysis of Experiments

by: Alison Vandervort

Design and Analysis of Experiments STAT 641

Marketplace > Ohio State University > Statistics > STAT 641 > Design and Analysis of Experiments
Alison Vandervort
GPA 3.58


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Class Notes
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This 4 page Class Notes was uploaded by Alison Vandervort on Monday September 21, 2015. The Class Notes belongs to STAT 641 at Ohio State University taught by Staff in Fall. Since its upload, it has received 63 views. For similar materials see /class/210004/stat-641-ohio-state-university in Statistics at Ohio State University.


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Date Created: 09/21/15
715c We will analyze the data with the outlier removed observation Y2234O i Variance assumptions The residual plots of residual vs predicted and vs each factor show no indications of heteroscedacity Plot of ZYPRED Legend A 1 obs B 2 obs etc Z l 5 A A A AA A A A A AA AA A 2 A A A A A AA A A B A C A AB AAA B C C AA A BA AA B C A A l A BA A A AA A A AA A B A ABA A A A A B B A A AA A 4 A A A l 5 o 5 10 YPRED Plot of ZA Legend A l obs B 2 obs etc Z 5 B A C C C B 2 B C F D H J C I l E C H E D D B B 4 B A L l 2 Plot of ZB Legend A l obs B 2 obs etc Z I 5 A B B A C B B A 2 B B A B C C B C D D G A C E C l C A C A C D D B B B D A B A 4 B A I l 2 3 4 Plot of ZC Legend A l obs B 2 obs etc Z 5 A B A B C A B B 2 A A C E D A G I B E C D l B B D F C D B E A A C 4 TA B l 2 3 C 11 Independence assumption Normal prob plot shows no serious departure from normality Plot of ZNSCORE Legend A l obs B 2 obs etc Z 2438 AAA BCA CB 0975 DA BFB DJD GE O488 GA FFA DD AC l950 AAA 4 2 O 2 4 RANK FOR VARIABLE Z General Linear Models Procedure Dependent Variable Y Source DF Sum of Squares F Value Pr gt F Model 23 62658333333 489 00001 Error 71 39541666667 Corrected Total 94 102200000000 R Square CV Y Mean 0613095 5899814 400000000 Source DF Type III SS F Value Pr gt F A l 8260388128 1483 00003 B 3 42146444444 2523 00001 C 2 2224253941 200 01433 AB 3 194444444 012 09502 AC 2 083375563 007 09280 BC 6 8401749466 251 00290 ABC 6 2130916132 064 06996 For an OVERALL level of 05 we can conclude there is an A and machine B but no effects due statistically significant effect due to we note the fairly small pvalue for effect due to heat to time C nor any interaction However interaction of B and C d 7 10 AVY 3 2 l 5 3 2 1 l 2 l 0 Machine NOTE 3 obs hidden It appears machine 3 is most robust as the average lengths at each time C are closer than the average lengths at each time for the other machines Assuming the machines are identical in make and model a possible cause for the difference in robustness could be age of the machine or the operator f 8 Least Squares Means 95 95 Lower Upper Confidence Confidence B Limit Y LSMEAN Limit 1 2456149 3416667 4377185 2 5235384 6222222 7209061 3 0085518 0875000 1835518 4 4706149 5666667 6627185


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