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Probability} &MDCR-T3;0;0; &MDCR-F &MDCR-S# &MDCR-T4;0;0; &MDCR-F\"Tahoma \ ww 0wf- !-6.000# &MDCR-T5;0;0; &MDCR-F &MDCR-S# &MDCR-T4;0;0; &MDCR-F !6.000R# &MDCR-T5;0;0; &MDCR-F &MDCR-S-# &MDCR-T4;0;0; &MDCR-F# &MDCR-T4;0;0; &MDCR-F# &MDCR-T4;0;0; &MDCR-F#55 &MDCR-T4;0;0; &MDCR-F-#T T &MDCR-T4;0;0; &MDCR-F !-3.600# &MDCR-T5;0;0; &MDCR-F &MDCR-S-#s s &MDCR-T4;0;0; &MDCR-F#  &MDCR-T4;0;0; &MDCR-F#  &MDCR-T4;0;0; &MDCR-F#  &MDCR-T4;0;0; &MDCR-F-# &MDCR-T4;0;0; &MDCR-F !-1.200#. &MDCR-T5;0;0; &MDCR-F &MDCR-S-#   &MDCR-T4;0;0; &MDCR-F#,, &MDCR-T4;0;0; &MDCR-F#KK &MDCR-T4;0;0; &MDCR-F#jj &MDCR-T4;0;0; &MDCR-F-# &MDCR-T4;0;0; &MDCR-F !1.200R# &MDCR-T5;0;0; &MDCR-F &MDCR-S-# &MDCR-T4;0;0; &MDCR-F# &MDCR-T4;0;0; &MDCR-F# &MDCR-T4;0;0; &MDCR-F# &MDCR-T4;0;0; &MDCR-F-### &MDCR-T4;0;0; &MDCR-F !3.600R#{ &MDCR-T5;0;0; &MDCR-F &MDCR-S-#AA &MDCR-T4;0;0; &MDCR-F#`` &MDCR-T4;0;0; &MDCR-F# &MDCR-T4;0;0; &MDCR-F# &MDCR-T4;0;0; &MDCR-F !1.000RX# &MDCR-T5;0;0; &MDCR-F &MDCR-S-## &MDCR-T4;0;0; &MDCR-F-!! &MDCR-T4;0;0; &MDCR-F   &MDCR-T4;0;0; &MDCR-F &MDCR-T4;0;0; &MDCR-F !5.000R~ &MDCR-T5;0;0; &MDCR-F &MDCR-S &MDCR-T4;0;0; &MDCR-F?? &MDCR-T4;0;0; &MDCR-F &MDCR-T4;0;0; &MDCR-F.. &MDCR-T4;0;0; &MDCR-F &MDCR-T4;0;0; &MDCR-F !10.000 &MDCR-T5;0;0; &MDCR-F &MDCR-S-MM &MDCR-T4;0;0; &MDCR-F-++ &MDCR-T4;0;0; &MDCR-F &MDCR-T4;0;0; &MDCR-F &MDCR-T4;0;0; &MDCR-F !50.000 &MDCR-T5;0;0; &MDCR-F &MDCR-S-- &MDCR-T4;0;0; &MDCR-F__ &MDCR-T4;0;0; &MDCR-Fqq &MDCR-T4;0;0; &MDCR-F. .  &MDCR-T4;0;0; &MDCR-F   &MDCR-T4;0;0; &MDCR-F !99.0007 &MDCR-T5;0;0; &MDCR-F &MDCR-S- &MDCR-T4;0;0; &MDCR-F-i*&JMDCR-TB8;2;1;Time(Effect Points) C:Pressure Treat X = -0.368 Y = 7.143 &MDCR-F4,&NMDCR-TF8;2;2;Time(Effect Points) A:Initial Structure X = -0.142 Y = 21.429 &MDCR-F=*&IMDCR-TA8;2;3;Time(Effect Points) E:Cooling Rate X = -0.128 Y = 35.7143 &MDCR-F_X(&FMDCR-T>8;2;4;Time(Effect Points) B:Bead Size X = -0.082 Y = 50.000 &MDCR-F_)&GMDCR-T?8;2;5;Time(Effect Points) D:Heat Treat X = -0.002 Y = 64.2861 &MDCR-F X #)&GMDCR-T?8;2;6;Time(Effect Points) G:Final Treat X = 0.258 Y = 78.5711 &MDCR-F-#&&BMDCR-T:8;1;1;Time(Effect Points) F:Polish X = 2.232 Y = 92.857 &MDCR-F !F:PolishU &MDCR-T9;1;1; &MDCR-F &MDCR-S-%#+,J &%MDCR-T8;3;0;Time(Distribution Line) &MDCR-F!Effect Probability &MDCR-T6;0;0; &MDCR-F &MDCR-S- & &MDCR-T6;0;0; &MDCR-F( (& &MDCR-T6;0;0; &MDCR-F !TimeK &MDCR-T7;2;0; &MDCR-F &MDCR-S !Y' = Y &MDCR-T7;2;0; &MDCR-F &MDCR-S -E! &MDCR-T7;2;0; &MDCR-F!Non-Significant Effects! &MDCR-T7;2;0; &MDCR-F &MDCR-S-! &MDCR-T7;1;0; &MDCR-F!Significant Effectse`! &MDCR-T7;1;0; &MDCR-F &MDCR-S-v vM! &MDCR-T7;3;0; &MDCR-F!Distribution Line! &MDCR-T7;3;0; &MDCR-F &MDCR-S ! 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P.5           I       A       B       C       D       E       F       G      ?    1 aAa_MainProject  Plackett-Burman Design.doc-C:\DOCUME~1\MCAROL~1\LOCALS~1\Temp\RSF1D0.tmpࡱ> 9;8vh%` Ybjbj 4^̟̟3::: D  @2@2@28x2\2 Bj33:333(7(7(7BBBBBBB$ChTF'B 866@ 8 8'BPP33  >33 pB@22:|>?RB0B>,F:F>F >(7"J7;b7v7(7(7(7'B'BN;d(7(7(7B 8 8 8 8 $ $ PPPPPP Example Plackett-Burman design is one of the so-called screening designs. Such designs are traditionally used for identifying important factors from among many potential factors. In the analysis of these designs, usually only main effects are estimated. Consider a life testing of weld-repaired castings.* The objective of the test is to identify the important factors that affect the life and to improve the product life. There are seven factors that may affect the life. If we run a two level full factorial design, it will require  EMBED Equation.3 runs. It will be time-consuming and costly. Therefore, an eight run Plackett-Burman experiment will be conducted. For this example, the seven factors are: FactorNameLevel -Level +AInitial Structureas receivedbeta treatBBead SizesmalllargeCPressure TreatnoneHIPDHeat Treatannealsolution treat/ageECooling RateslowrapidFPolishchemicalmechanicalGFinal Treatnonepeen The response is the failure time of each sample. The logarithmic transformation of the failure time is used in the analysis. Design the Experiment The design matrix and the data are given in the Cast Fatigue Experiment Folio. You can also reproduce the design by the following steps. Step 1: Add a new Standard Folio by selecting Add Folio from the Project menu. Step 2: In the first step of the Design Wizard, select Factorial Design then click Next.  Step 3: In the second step of the Design Wizard, select Plackett-Burman Design then click Next.  Step 4: In the third step of the Design Wizard, use the settings shown next.  Step 5: Click the Factor Properties button and, in the Factor Properties window, use the settings shown next then click OK.  Step 6: Click the Response Properties button and, in the Response Properties window, enter the name of the response, as shown next, then click OK.  Step 7: Click Next to view the design summary, then click Finish to create the Standard Folio containing the Plackett-Burman design. Alternatively, you can skip the design review step by clicking Finish in the third step of the Design Wizard. The run order is randomly generated when you create the design. It may be different from the Folio in the example file. You can conduct the experiment according to the run order in the design matrix and record all the response values. Analysis and Results The design and the data are provided in the Cast Fatigue Experiment Folio. You can proceed using this Folio or you can copy the data to the Folio you just created. Make sure you sort both Folios by the Standard Order column before you copy and paste the data: select Standard Order in the Sort By area in the Control Panel to sort the Data Sheet by the Standard Order column. Step 1: Double-click the Cast Fatigue Experiment Folio to open it. The Design tab will be displayed. Step 2: On the Options page of the Control Panel, select to use Individual Terms in the analysis. Step 3: Return to the Main page of the Control Panel and click the Calculate icon. The ANOVA table and the Regression Information table for the model are provided on the Analysis tab, which is added to the Folio upon calculation. Step 4: Click the Plot icon to add the Plot tab to the Folio. From the effect probability plot, which is created by default, we can see that effect F is significant.  Conclusions The effects of each factor are given below: FactorEffectsA-0.142B-0.082C-0.368D-0.002E-0.128F2.232G0.258 If we assume that there is no interaction, a higher product life can be achieved by setting A, B, C, D and E at their low level and F and G at their high level. Otherwise, further experiments can be conducted to study the interaction effects of those factors. Factor F was found to be the most important factor. * Wu, Jeff and Hamada, Michael, Experiments: Planning, Analysis, And Parameter Design Optimization, John Wiley & Sons, New York, 2000.      HYPERLINK "http://www.reliasoft.com/Weibull/weibull7.htm"  Page  PAGE 5 of  NUMPAGES 6 2008 ReliaSoft Corporation. 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