DSdsV2_2 Weibull_7:' Reduced ModelDFolioP8  1234567 K           2032900  ?  #~j?    10032900 ? ?  ףp= @    20132900 ? ? %C?    100132900 ?? ?  oʡ@    2082000  ? I +?    10082000 ? ?  oʡ?    2083800 ? ?  MbX9?    10083800 ?? ? 7A`@    6032000  ? ^I +?     60132000 ? ? I +?     6033800 ? ? Zd;@     60133800 ?? ? $C?     6082900  ? 7A`?     6082900  ? 7A`?    6082900  ?  7A`?     Response 1@@P.5??  Time?P.5  Distance?P.5  Voltage?P.5   Optimal Solution 1 ?? t(h6e? MbX@MbX@ MbX@ ư>?   Optimal Solution 1 ?? t(h6e? MbX@MbX@ MbX@ @@@@v@v@TahomaDBTahomaDB o_?̗`?{Gz?k)?gj+?ZӼ?,C6?Oz1?333333?TahomaTahoma|Tahoma|TahomaDBTahomaDBTahomaDBTahomaDBTahomaDBTahomaDBTahomaDBTahomaDBTahomaDBTahoma|Z JI' Folio Data SetContinuous FunctionContinuous FunctionContinuous FunctionFactor vs Responsed?' Folio Data SetTime vs Response 1Time vs Response 1Continuous FunctionFactor vs Responsed?' Folio Data SetDistance vs Response 1Distance vs Response 1Continuous FunctionFactor vs Responsed?' Folio Data SetVoltage vs Response 1Voltage vs Response 1Continuous FunctionFactor vs Responsed?Folio Data Set Factor Value Factor Value Factor Valued ?Folio Data SetResponse ValueResponse ValueResponse Valued ?  [Z @@@Q?s@?d Reduced Model*User Name Company 2/27/2008 11:20:39 AM#ReliaSoft DOE++ - www.ReliaSoft.comOptimal Solution 1ColorColor = Size = X = Y =  Starts at:  Ends at:  Duration: ???*****#ReliaSoft DOE++ - www.ReliaSoft.com4@Y@Time X = 100.0000@*@Distance X = 3.0000@@@Voltage X = 3800.0000Q?s@!Response 1 (Maximize) Y = 4.8998Z ' Folio Data SetContinuous FunctionContinuous FunctionContinuous FunctionFactor vs Responsed?' Folio Data SetTime vs Response 1Time vs Response 1Continuous FunctionFactor vs Responsed?/@ڵ|г?4@Q?8@iY?<@jߝ?@@CH[X?B@e?D@4X?F@46<=?H@֬\mE?J@__q?L@[z`@N@7B@P@g@Q@3(U@R@ @S@g @T@B @U@ @V@.n@W@5@X@c@Y@MbX@' Folio Data SetDistance vs Response 1Distance vs Response 1Continuous FunctionFactor vs Responsed?@s@@MbX@ @' @@@@hoy@@sn@@[(d@@DioY@@,CN@@?D@@u9@ @".@!@ͪV$@"@|г@#@^)@$@8m@%@n@&@W/'@'@?ܵ@(@'@)@z6>@*@S㥛@' Folio Data SetVoltage vs Response 1Voltage vs Response 1Continuous FunctionFactor vs Responsed?؝@hoa?@@B5^I ?T@St$?@H.a?@.!l@p@Q@$@zG1@أ@' @@ h"@@@pŏ1@@I.!@@#~j @\@1 @@48E @Ĩ@镲 @x@2@,@C@@lV}@@J4@H@gC@@fa@@MbX@Folio Data Set Factor Value Factor Value Factor Valued ?Y@@@Folio Data SetResponse ValueResponse ValueResponse Valued ?MbX@     ? ? ?   4@Y@ @*@ @@@  ?????????????????????????????????????????????????????????,C:\DOCUME~1\ashiya\LOCALS~1\Temp\RSF2220.tmp  Time Distance Voltage   Response 1`   I        A        B        C        AB        AC        BC        AA        BB        CC                     Block 1    1   4@Y@ @*@ @@@  Time Distance Voltage    =T$g X1Tahoma1Tahoma1Tahoma1Tahoma1Tahoma"$"#,##0_);\("$"#,##0\)!"$"#,##0_);[Red]\("$"#,##0\)""$"#,##0.00_);\("$"#,##0.00\)'""$"#,##0.00_);[Red]\("$"#,##0.00\)5*0_("$"* #,##0_);\("$"* #,##0\);_("$"* "-"_);_(@_),)'_(* #,##0_);\(* #,##0\);_(* "-"_);_(@_)=,8_("$"* #,##0.00_);\("$"* #,##0.00\);_("$"* "-"??_);_(@_)4+/_(* #,##0.00_);\(* #,##0.00\);_(* "-"??_);_(@_)                + ) , *  H p p   p@@ p@ p @  p @ p@ p p  p@ p p   p  Design   dMbP?_*+%&A Page &P&?'?(?)?"d?? Q Response 1 C:Voltage B:Distance A:Time Block NumberCenter Points Run OrderStandard Order}F}F}F}GF}F               0?&@??4@@@#~j?~?0@@??Y@@@ ףp= @~@0@@??4@*@@%C?~@0@"@??Y@*@@oʡ@~@0@@??4@ @@@I +?~@0@*@??Y@ @@@oʡ?~@0@$@??4@ @@MbX9?~@0 @@??Y@ @@7A`@~ @0"@@??N@@@@^I +?~"@0 $@???N@*@@@ I +?~ $@0 &@ @??N@@@ Zd;@~ &@0 (@.@??N@*@@ $C?~ (@0 *@,@?N@ @@ 7A`?~ *@0 ,@@?N@ @@ 7A`?~ ,@0.@ (@ ?!N@! @!@"7A`?~.@>dd  =T$g X1Tahoma1Tahoma1Tahoma1Tahoma1Tahoma1 Tahoma"$"#,##0_);\("$"#,##0\)!"$"#,##0_);[Red]\("$"#,##0\)""$"#,##0.00_);\("$"#,##0.00\)'""$"#,##0.00_);[Red]\("$"#,##0.00\)5*0_("$"* #,##0_);\("$"* #,##0\);_("$"* "-"_);_(@_),)'_(* #,##0_);\(* #,##0\);_(* "-"_);_(@_)=,8_("$"* #,##0.00_);\("$"* #,##0.00\);_("$"* "-"??_);_(@_)4+/_(* #,##0.00_);\(* #,##0.00\);_(* "-"??_);_(@_)                + ) , *  H   @   8@ 8 0  < 8   @ 0  x@@$x@$x  @$ @   8@ 8 8 0@ 0  < 8 0 @ 0 8 x@@$x@$x  @$ Sheet1   dMbP?_*+%&A Page &P&?'?(?)?"d??I@} F} F} F}I F}& F@@@@@@@@@ @ @ @ @ @@@@@@@@@@@@@" ANOVA Table#####$Source of VariationDegrees of Freedom!Sum of Squares [Partial]Mean Squares [Partial]F RatioP ValueModel~@|a2U08@oʡ@  A:Time~?d;O.@d;O.@G@pX5= B:Distance~???#@S!uq? C:Voltage~?t@t@Qt@Y6V>  AC~?.1f@.1f@>٬c@DKG$>  AA~ ? oT? oT? 4@JD@ -C6?  Residual~ "@ :#J{/? Q?   Lack of Fit~ @ :#J{/?  ףp= ? - -   Pure Error @  Total~  ,@  (\8@  !>5S = 0.1324 R-sq = 99.3615% R-sq(adj) = 99.0067%2Regression Information333334%&&&&&' (Term) Coefficient)Standard Error)Low CI)High CI)T Value*P Value%&&&&&'+ Intercept,2w-!?,?,?ܵ|?,$(~k?,?W[,:@-%qT >+A:Time,r?,gj+?,n?,"~?,]m=@-pX5=+ B:Distance,) 0,gj+?,Hȿ,:pΈ,K7.S!uq?+ C:Voltage,H.?,gj+?,8gDio?,(?,_vO&2@-Y6V> +AC, 0*?,m{?,H?,"uq ?,.!(@-DKG$> /AA0\C?0K7?01%?0Cl?09#J{@1-C6?>dd&  =8X1Tahoma1Tahoma1Tahoma1Tahoma1Tahoma"$"#,##0_);\("$"#,##0\)!"$"#,##0_);[Red]\("$"#,##0\)""$"#,##0.00_);\("$"#,##0.00\)'""$"#,##0.00_);[Red]\("$"#,##0.00\)5*0_("$"* #,##0_);\("$"* #,##0\);_("$"* "-"_);_(@_),)'_(* #,##0_);\(* #,##0\);_(* "-"_);_(@_)=,8_("$"* #,##0.00_);\("$"* #,##0.00\);_("$"* "-"??_);_(@_)4+/_(* #,##0.00_);\(* #,##0.00\);_(* "-"??_);_(@_)                + ) , *  H Sheet1   dMbP?_*+%&A Page &P&?'?(?)?"d??@}& F>dd& ƚK 0  '' & MDCR-O. &MDCR-{  --'' &MDCR-T1;0;-1; &MDCR-F \"Tahoma ww 0wBf-!#ReliaSoft DOE++ - www.ReliaSoft.com2 &MDCR-T3;0;0; &MDCR-F &MDCR-S-' &MDCR-T2;0;0; &MDCR-F "TahomaS ww 0wBf-!Optimal Solution 1l &MDCR-T3;0;0; &MDCR-F &MDCR-S >"Tahoma ww 0wBf-!Time$  &MDCR-T3;0;0; &MDCR-F &MDCR-S ! X = 100.0000% &MDCR-T3;0;0; &MDCR-F &MDCR-S !Distance$ &MDCR-T3;0;0; &MDCR-F &MDCR-S ! X = 3.0000% &MDCR-T3;0;0; &MDCR-F &MDCR-S !VoltageS$ &MDCR-T3;0;0; &MDCR-F &MDCR-S ! X = 3800.0000;% &MDCR-T3;0;0; &MDCR-F &MDCR-S &MDCR-T3;0;0; &MDCR-F &MDCR-S>"TahomaS ww 0wBf- ! Y = 4.8998Ap &MDCR-T3;0;0; &MDCR-F &MDCR-S!Response 1 (Maximize) &MDCR-T3;0;0; &MDCR-F &MDCR-S &MDCR-T3;0;0; &MDCR-F &MDCR-S-  &MDCR-T4;0;0; &MDCR-Fs  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-!  &MDCR-T4;0;0; &MDCR-F\"Tahoma ww 0wBf- !20.000# &MDCR-T5;0;0; &MDCR-F &MDCR-S!  &MDCR-T4;0;0; &MDCR-F !100.000F&$B &MDCR-T5;0;0; &MDCR-F &MDCR-S!  &MDCR-T4;0;0; &MDCR-F !36.000#? &MDCR-T5;0;0; &MDCR-F &MDCR-S!  &MDCR-T4;0;0; &MDCR-F !52.000# &MDCR-T5;0;0; &MDCR-F &MDCR-S!  &MDCR-T4;0;0; &MDCR-F !68.000#@ &MDCR-T5;0;0; &MDCR-F &MDCR-S!   &MDCR-T4;0;0; &MDCR-F !84.000# &MDCR-T5;0;0; &MDCR-F &MDCR-S &MDCR-T4;0;0; &MDCR-F\"TahomaS ww 0wBf- !0.499R|[ &MDCR-T5;0;0; &MDCR-F &MDCR-S &MDCR-T4;0;0; &MDCR-F !4.910R?[ &MDCR-T5;0;0; &MDCR-F &MDCR-S &MDCR-T4;0;0; &MDCR-F !1.381R[ &MDCR-T5;0;0; &MDCR-F &MDCR-S// &MDCR-T4;0;0; &MDCR-F !2.263R[ &MDCR-T5;0;0; &MDCR-F &MDCR-SVV &MDCR-T4;0;0; &MDCR-F !3.146R[ &MDCR-T5;0;0; &MDCR-F &MDCR-S} }  &MDCR-T4;0;0; &MDCR-F !4.028R [ &MDCR-T5;0;0; &MDCR-F &MDCR-S!e e &MDCR-T4;0;0; &MDCR-F\"Tahoma ww 0wBf- !3.000R<## &MDCR-T5;0;0; &MDCR-F &MDCR-S!  &MDCR-T4;0;0; &MDCR-F !13.000# &MDCR-T5;0;0; &MDCR-F &MDCR-S!  &MDCR-T4;0;0; &MDCR-F !5.000R<# &MDCR-T5;0;0; &MDCR-F &MDCR-S!f f &MDCR-T4;0;0; &MDCR-F !7.000R<#$ &MDCR-T5;0;0; &MDCR-F &MDCR-S!  &MDCR-T4;0;0; &MDCR-F !9.000R<# &MDCR-T5;0;0; &MDCR-F &MDCR-S!h h &MDCR-T4;0;0; &MDCR-F !11.000#& &MDCR-T5;0;0; &MDCR-F &MDCR-S!  &MDCR-T4;0;0; &MDCR-F !2000.000$ &MDCR-T5;0;0; &MDCR-F &MDCR-S!M M &MDCR-T4;0;0; &MDCR-F !3800.000$  &MDCR-T5;0;0; &MDCR-F &MDCR-S!J J &MDCR-T4;0;0; &MDCR-F !2360.000$ &MDCR-T5;0;0; &MDCR-F &MDCR-S!  &MDCR-T4;0;0; &MDCR-F !2720.000$ &MDCR-T5;0;0; &MDCR-F &MDCR-S!K K &MDCR-T4;0;0; &MDCR-F !3080.000$  &MDCR-T5;0;0; &MDCR-F &MDCR-S!  &MDCR-T4;0;0; &MDCR-F !3440.000$ &MDCR-T5;0;0; &MDCR-F &MDCR-S-0%` R yAa^/"   WB    c # \ &%MDCR-T8;600002;0;Time vs Response 1 &MDCR-F0%dd%E f'5&DSaGp~g'&)MDCR-T!8;600003;0;Distance vs Response 1 &MDCR-F0%)/DIZo j* K  1 lF \ ,qL&(MDCR-T 8;600004;0;Voltage vs Response 1 &MDCR-F-  &)MDCR-T!8;509;0;Factor Value X = 100.000 &MDCR-Fe e&'MDCR-T8;509;0;Factor Value X = 3.0000 &MDCR-FM M&*MDCR-T"8;509;0;Factor Value X = 3800.000 &MDCR-F-= &)MDCR-T!8;510;0;Response Value Y = 4.9000 &MDCR-F\"TahomaS ww 0wBf- ! Reduced Model! &MDCR-T6;0;0; &MDCR-F &MDCR-S-!& &MDCR-T6;0;0; &MDCR-F(!(& &MDCR-T6;0;0; &MDCR-F !Factor vs ResponseK!&MDCR-T 7;600000;0;! &MDCR-F &MDCR-S b!b!&MDCR-T 7;600000;0;! &MDCR-F!Continuous Functione1"&MDCR-T 7;600000;0;! &MDCR-F &MDCR-S!& &MDCR-T6;0;0; &MDCR-F-!! &MDCR-T7;509;0; &MDCR-F ! Factor Value`1" &MDCR-T7;509;0; &MDCR-F &MDCR-S-v!v! &MDCR-T7;510;0; &MDCR-F !Response Value1" &MDCR-T7;510;0; &MDCR-F &MDCR-S ! User Name#! &MDCR-T6;0;0; &MDCR-F &MDCR-S !CompanyS! &MDCR-T6;0;0; &MDCR-F &MDCR-S ! 2/27/2008! &MDCR-T6;0;0; &MDCR-F &MDCR-S ! 11:20:39 AM;7 ! &MDCR-T6;0;0; &MDCR-F &MDCR-S- ! & &MDCR-T6;0;0; &MDCR-F &MDCR-}[--"SystemBf !T-   GF>@@?d Pareto Chart,User's Name Company 2/23/2008 12:28:47 PM#ReliaSoft DOE++ - www.ReliaSoft.comAlpha = 0.1; Threshold = 1.8331 Pareto ChartStandardized Effect (T Value)TermColor T Value = X = Y =  Starts at:  Ends at:  Duration: ???*****#ReliaSoft DOE++ - www.ReliaSoft.comZ @@@@v@v@TahomaDBTahomaDB o_?R5U?{Gz?c]Kȵ?gj+?ͪժ?y):?ao?333333?TahomaTahoma|Tahoma|TahomaDBTahomaDBTahomaDBTahomaDBTahomaDBTahomaDBTahomaDBTahomaDBTahomaDBTahoma|Z yx Response 1Significant EffectsResponse 1(Effect Points)Significant EffectsResponse 1 Y' = Yd? Response 1Distribution LineResponse 1(Distribution Line)Distribution LineResponse 1 Y' = Yd? Significant Significant Significanto@   B:Distance B:Distance B:Distanced?7@AAAAAAd?e@L{@ACACACd?*fE(@ C:Voltage C:Voltage C:Voltaged??]4&2@A:TimeA:TimeA:Timed?LoMʳ=@Special Pareto Target Pareto TargetResponse 1 Y' = Yd? hfffnT?hfffnT?Critical ValueCritical ValueCritical ValueResponse 1 Y' = Yd?hfffnT?hfffnT?@ Significant Significant Significanto@   ????{Gz?{Gz?{Gz??333333?TahomaTahoma|Tahoma|TahomaDBTahomaDBTahomaDBTahomaDBTahomaDBTahomaDBTahomaDBTahomaDBTahomatTahoma|Z  @@@@v@v@TahomaDBTahomaDB   ƚK     '' & MDCR-O. &MDCR-{  --'' &MDCR-T1;0;-1; &MDCR-F \"Tahoma Bww 0w f-!#ReliaSoft DOE++ - www.ReliaSoft.com2 &MDCR-T3;0;0; &MDCR-F &MDCR-S-' &MDCR-T2;0;0; &MDCR-F "Tahoma ww 0w f- ! Pareto Chart &MDCR-T3;0;0; &MDCR-F &MDCR-S  \"Tahoma Dww 0w f-!Alpha = 0.1; Threshold = 1.8331<&2 &MDCR-T3;0;0; &MDCR-F &MDCR-S-R&R&' &MDCR-T2;0;0; &MDCR-F >"Tahoma ww 0w f-!Standardized Effect (T Value)3%, &MDCR-T3;0;0; &MDCR-F &MDCR-S>"Tahoma Fww 0w f-!TermL &MDCR-T3;0;0; &MDCR-F &MDCR-S# &MDCR-T4;0;0; &MDCR-F\"Tahoma ww 0w f- !0.000R# &MDCR-T5;0;0; &MDCR-F &MDCR-S#!! &MDCR-T4;0;0; &MDCR-F !30.000# &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-#U U &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# &MDCR-T4;0;0; &MDCR-F-#** &MDCR-T4;0;0; &MDCR-F !12.000#v &MDCR-T5;0;0; &MDCR-F &MDCR-S-#UU &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 !18.000#K &MDCR-T5;0;0; &MDCR-F &MDCR-S-#)) &MDCR-T4;0;0; &MDCR-F#TT &MDCR-T4;0;0; &MDCR-F#~~ &MDCR-T4;0;0; &MDCR-F# &MDCR-T4;0;0; &MDCR-F-# &MDCR-T4;0;0; &MDCR-F !24.000# &MDCR-T5;0;0; &MDCR-F &MDCR-S-# &MDCR-T4;0;0; &MDCR-F#(( &MDCR-T4;0;0; &MDCR-F#SS &MDCR-T4;0;0; &MDCR-F#~ ~ &MDCR-T4;0;0; &MDCR-F !1.833R# &MDCR-T5;0;0; &MDCR-F &MDCR-S-#O#! &MDCR-T4;0;0; &MDCR-FO! &MDCR-T4;0;0; &MDCR-F-m Om  &MDCR-T4;0;0; &MDCR-F ! B:Distance  &MDCR-T11;0;0; &MDCR-F &MDCR-SO &MDCR-T4;0;0; &MDCR-F!AAc &MDCR-T11;1;0; &MDCR-F &MDCR-S-O- &MDCR-T4;0;0; &MDCR-F!AC &MDCR-T11;2;0; &MDCR-F &MDCR-S O  &MDCR-T4;0;0; &MDCR-F ! C:Voltage" " &MDCR-T11;3;0; &MDCR-F &MDCR-SO &MDCR-T4;0;0; &MDCR-F !A:Time &MDCR-T11;4;0; &MDCR-F &MDCR-S--" &6MDCR-T.8;0;1;B:Distance Significant T Value = 2.220 &MDCR-Fu %&.MDCR-T&8;1;1;AA Significant T Value = 6.370 &MDCR-F&/MDCR-T'8;2;1;AC Significant T Value = 12.355 &MDCR-F4$  &6MDCR-T.8;3;1;C:Voltage Significant T Value = 18.149 &MDCR-F7!D&3MDCR-T+8;4;1;A:Time Significant T Value = 29.546 &MDCR-F#-%H#H&MDCR-T8;502;0;Critical Value &MDCR-F ! Pareto Chartp" &MDCR-T6;0;0; &MDCR-F &MDCR-S-p"& &MDCR-T6;0;0; &MDCR-Fp"& &MDCR-T6;0;0; &MDCR-F#-p"8# &MDCR-T7;502;0; &MDCR-F !Critical ValueF# &MDCR-T7;502;0; &MDCR-F &MDCR-S-#0"&MDCR-T 7;1001;0; &MDCR-F ! Significant;#&MDCR-T 7;1001;0; &MDCR-F &MDCR-S ! User's Name; p" &MDCR-T6;0;0; &MDCR-F &MDCR-S !CompanyS!p" &MDCR-T6;0;0; &MDCR-F &MDCR-S ! 2/23/2008Z"p" &MDCR-T6;0;0; &MDCR-F &MDCR-S ! 12:28:47 PM; #p" &MDCR-T6;0;0; &MDCR-F &MDCR-S#p"#& &MDCR-T6;0;0; &MDCR-F &MDCR-}G--"System f !- Response 1DExperimentResponse@0  . Response 1 #~j? ףp= @%C?oʡ@I +?oʡ?MbX9?7A`@^I +?I +?Zd;@$C?7A`?7A`?7A`?  ?????????????????????????????????????????????????????????   UUUUUU?UUUUUUſUUUUUUſUUUUUUſ??????UUUUUUſUUUUUU?UUUUUU?UUUUUU?UUUUUUſUUUUUU?UUUUUU?UUUUUU?TUUUUUſPUUUUU?PUUUUU?UUUUUU? =5^I ?On2 @?5^I?+@M?-g?&1Z?K7A0@ΡE?_9v?Q@V@7A`?7A`?7A`? ????????????UUUUUU?UUUUUU?UUUUUU?E(e?x?>v?? ?    I        A        B        C        AB        AC        BC        AA        BB        CC                 "@)?y˯W@Model ϛ ?VJ8@ ?n}Z.@A:Time2 ʐ>聏.@ ? *k`@ B:Distance?a? ?`Ԟkh@ C:VoltageD?J@ ?w45?AB5j\[?0~? ?rV@ACY@j,?x!f@ ?YV?BCG ?@ْUa? ?Ix֋7@AA~wr?ԉ؉? ?*s?BBr¨.?kM6@ ^;O^;Oʿ At?\g#̿ B:Distance?¨.?mVY Gz.?Gz.?B7+?XC5B? C:Voltage?¨.?<_}+@ /$/$5]}? ˿AB5j\[?x?<( ]I +?]I +?Z?8Yl?AC @j,?x?;5 #@ Pd;O?Pd;O?q+?\Ь8ÿBC\ ?x?7 ? ??ǐ?v?AA~wr?g?{R@ _y?_??vYE=EƿBB)-8@ ?ėG@A:TimemI=ꁏ.@ ?x V@ B:Distance9K,r?a? ?t@ C:VoltagecV>J@ ?oc@AC0N$>x!f@ ?fJD@AAzC:s!? ͌:?  "@ResidualC /? @P.5 Lack of FitP.5C /? @ Pure Error   2ؗ+?P.54k?UX|? InterceptU >?`9,:@ :v?:v@C+$?1ۮX?A:TimeI=@7?LoMʳ=@ ^;O^;OʿDDŽePFȿ B:Distance:K,r?@7?7 Gz.?Gz.??Io? C:VoltageV>@7??]4&2@ ]I +?]I +?_% ?[m:I?ACN$>?*fE(@ Tr?Tr?K@??AA@:s!?؃}ɉ?e@L{@                     2ؗ+?:v?^;OGz.?]I +?Tr?  ?????????????????????     P.5      UV-light TreatmentDFolio08  1234567 K           2032900  ?  #~j?    10032900 ? ?  ףp= @    20132900 ? ? %C?    100132900 ?? ?  oʡ@    2082000  ? I +?    10082000 ? ?  oʡ?    2083800 ? ?  MbX9?    10083800 ?? ? 7A`@    6032000  ? ^I +?     60132000 ? ? I +?     6033800 ? ? 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Time Distance Voltage   Response 1@   I        A        B        C        AB        AC        BC        AA        BB        CC                     Block 1    1   4@Y@ @*@ @@@  Time Distance Voltage    =5o'X1Tahoma1Tahoma1Tahoma1Tahoma1Tahoma"$"#,##0_);\("$"#,##0\)!"$"#,##0_);[Red]\("$"#,##0\)""$"#,##0.00_);\("$"#,##0.00\)'""$"#,##0.00_);[Red]\("$"#,##0.00\)5*0_("$"* #,##0_);\("$"* #,##0\);_("$"* "-"_);_(@_),)'_(* #,##0_);\(* #,##0\);_(* "-"_);_(@_)=,8_("$"* #,##0.00_);\("$"* #,##0.00\);_("$"* "-"??_);_(@_)4+/_(* #,##0.00_);\(* #,##0.00\);_(* "-"??_);_(@_)                + ) , *  H p p   p@@ p@ p @  p @ p@ p p  p@ p p   p  Design   dMbP?_*+%&A Page &P&?'?(?)?"d?? Q Response 1 C:Voltage B:Distance A:Time Block NumberCenter Points Run OrderStandard Order}F}F}F}GF}F               0?&@??4@@@#~j?~?0@@??Y@@@ ףp= @~@0@@??4@*@@%C?~@0@"@??Y@*@@oʡ@~@0@@??4@ @@@I +?~@0@*@??Y@ @@@oʡ?~@0@$@??4@ @@MbX9?~@0 @@??Y@ @@7A`@~ @0"@@??N@@@@^I +?~"@0 $@???N@*@@@ I +?~ $@0 &@ @??N@@@ Zd;@~ &@0 (@.@??N@*@@ $C?~ (@0 *@,@?N@ @@ 7A`?~ *@0 ,@@?N@ @@ 7A`?~ ,@0.@ (@ ?!N@! @!@"7A`?~.@>dd o =T$g X1Tahoma1Tahoma1Tahoma1Tahoma1Tahoma1 Tahoma"$"#,##0_);\("$"#,##0\)!"$"#,##0_);[Red]\("$"#,##0\)""$"#,##0.00_);\("$"#,##0.00\)'""$"#,##0.00_);[Red]\("$"#,##0.00\)5*0_("$"* #,##0_);\("$"* #,##0\);_("$"* "-"_);_(@_),)'_(* #,##0_);\(* #,##0\);_(* "-"_);_(@_)=,8_("$"* #,##0.00_);\("$"* #,##0.00\);_("$"* "-"??_);_(@_)4+/_(* #,##0.00_);\(* #,##0.00\);_(* "-"??_);_(@_)                + ) , *  H   @   8@ 8 0  < 8   @ 0  x@@$x@$x  @$ @   8@ 8 8 0@ 0  < 0 8 0 @ 0 0 x@@$x@$x  @$ Sheet1   dMbP?_*+%&A Page &P&?'?(?)?"d??$I@} F} F} F}I F}& F@@@@@@@@@ @ @ @ @ @@@@@@@@@@@@@@@@@ @!@"@#@" ANOVA Table#####$Source of VariationDegrees of Freedom!Sum of Squares [Partial]Mean Squares [Partial]F RatioP ValueModel~"@x#8@d`T@  A:Time~?d;O.@d;O.@YZ.@MB> B:Distance~???!u`@D? C:Voltage~?t@t@~lh@Đvު?  AB~?Q~?Q~?K46?6[?  AC~ ? .1f@ .1f@ vV@ -C6*?   BC~ ? J4a? J4a? d`T? St$?   AA~ ? QI? QI? C7@ ;Onr?   BB~ ? -C6? -C6? nt? M?   CC~ ? a2U0*3? a2U0*3? a2U0*? k ? Residual~@Af?h|?5?  Lack of Fit~@Af?( 0? - - Pure Error@ Total~ ,@ (\8@ !>5S = 0.1719 R-sq = 99.4019% R-sq(adj) = 98.3255%3Regression Information444445%&&&&&' (Term) Coefficient)Standard Error)Low CI)High CI)T Value*P Value%&&&&&'+ Intercept,7A`?,a+e?,V-?,jt?,)Ǻ8*@-=(?+A:Time,r?,ŏ1w-!?,|a2U0*?,_L?,5;N6@-MB>+ B:Distance,) 0,ŏ1w-!?,ڊe̿,Έ ?,|гY.D?+ C:Voltage,H.?,ŏ1w-!?,B?,HP?,1*+@-Đvު? +AB,fj+,Zڊ?,\m˿, -?,%u.6[? +AC, 0*?,Zڊ?, -?,gs?,+ #@/-C6*? +BC,Zd;O?,Zڊ?,D9ÿ,[Ӽ?,6[ ?.St$? +AA~ ,? ,,C? ,Pkw? ,W2? ,ǘ@ /;Onr? !+BB!, o_y?!,,C?!,ʡEƿ!,Zd;?!,ۊe?!.M? "0CC"1/n?"1,C?"1ʡEſ"1x&1?"1(~k ?"2k ?#>dd&  =8X1Tahoma1Tahoma1Tahoma1Tahoma1Tahoma"$"#,##0_);\("$"#,##0\)!"$"#,##0_);[Red]\("$"#,##0\)""$"#,##0.00_);\("$"#,##0.00\)'""$"#,##0.00_);[Red]\("$"#,##0.00\)5*0_("$"* #,##0_);\("$"* #,##0\);_("$"* "-"_);_(@_),)'_(* #,##0_);\(* #,##0\);_(* "-"_);_(@_)=,8_("$"* #,##0.00_);\("$"* #,##0.00\);_("$"* "-"??_);_(@_)4+/_(* #,##0.00_);\(* #,##0.00\);_(* "-"??_);_(@_)                + ) , *  H Sheet1   dMbP?_*+%&A Page &P&?'?(?)?"d??@}& F>dd&   GF@@?d Main Effect+User's Name Company 2/23/2008 8:06:17 AM#ReliaSoft DOE++ - www.ReliaSoft.comLeast Squares MeansMain Effect PlotFactor ColorColor = Size = X = Y =  Starts at:  Ends at:  Duration: ???*****#ReliaSoft DOE++ - www.ReliaSoft.comZ @@@@v@v@TahomaDBTahomaDB o_?l[?{Gz?c]Kȵ?gj+?ͪժ???333333?TahomaTahoma|Tahoma|TahomaDBTahomaDBTahomaDBTahomaDBTahomaDBTahomaDBTahomaDBTahomaDBTahomaDBTahoma|Z   Response 1Non-Significant EffectsResponse 1(Effect Points)Non-Significant EffectsResponse 1 Y' = Yd? Response 1Significant EffectsResponse 1(Effect Points)Significant EffectsResponse 1 Y' = Yd? Response 1Distribution LineResponse 1(Distribution Line)Distribution LineResponse 1 Y' = Yd? Response 1A:Time Mean LineResponse 1(A:Time Mean Line)A:Time Mean LineResponse 1 Y' = Yd?3 Response 1Center Point MeanResponse 1(Center Point Mean)Center Point MeanResponse 1 Y' = Yd? Response 1B:Distance Mean Line Response 1(B:Distance Mean Line)B:Distance Mean LineResponse 1 Y' = Yd?4 Response 1Center Point MeanResponse 1(Center Point Mean)Center Point MeanResponse 1 Y' = Yd? Response 1C:Voltage Mean LineResponse 1(C:Voltage Mean Line)C:Voltage Mean LineResponse 1 Y' = Yd?5 Response 1Center Point MeanResponse 1(Center Point Mean)Center Point MeanResponse 1 Y' = Yd?   Response 1A:Time Mean LineResponse 1(A:Time Mean Line)A:Time Mean LineResponse 1 Y' = Yd?S㥛? J{/L? c?ffffff?ܵ?333333 ?&^I ?ٿ<,?233333ӿe?ɿ8aӫ?╲ q?</A`??! 0??&S?433333?_L??̼??Mb@433333?9R!N@gfffff?Ac@?T}b@?q2@?Q@3 Response 1Center Point MeanResponse 1(Center Point Mean)Center Point MeanResponse 1 Y' = Yd?7A`? Response 1B:Distance Mean Line Response 1(B:Distance Mean Line)B:Distance Mean LineResponse 1 Y' = Yd??eqd?=yX5?ffffff48E?333333Z+e?r&1?ٿH.?233333ӿHsR?ɿ鷯'?Um?</A`??<,Ԛ??Z|?433333?jMS??䃞*??(\?433333?<,?gfffff?߾??䷯??' f??/$A?4 Response 1Center Point MeanResponse 1(Center Point Mean)Center Point MeanResponse 1 Y' = Yd?7A`? 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Xl &MDCR-T3;0;0; &MDCR-F &MDCR-S# &MDCR-T4;0;0; &MDCR-F\"Tahoma ww 0wfF- !-2.000#d &MDCR-T5;0;0; &MDCR-F &MDCR-S#  &MDCR-T4;0;0; &MDCR-F !2.000R#| &MDCR-T5;0;0; &MDCR-F &MDCR-S-#CC &MDCR-T4;0;0; &MDCR-F#vv &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#c &MDCR-T5;0;0; &MDCR-F &MDCR-S-#C C &MDCR-T4;0;0; &MDCR-F#v v &MDCR-T4;0;0; &MDCR-F#  &MDCR-T4;0;0; &MDCR-F#  &MDCR-T4;0;0; &MDCR-F-# &MDCR-T4;0;0; &MDCR-F !-0.400#c &MDCR-T5;0;0; &MDCR-F &MDCR-S-#BB &MDCR-T4;0;0; &MDCR-F#vv &MDCR-T4;0;0; &MDCR-F# &MDCR-T4;0;0; &MDCR-F# &MDCR-T4;0;0; &MDCR-F-# &MDCR-T4;0;0; &MDCR-F !0.400R#| &MDCR-T5;0;0; &MDCR-F &MDCR-S-#BB &MDCR-T4;0;0; &MDCR-F#uu &MDCR-T4;0;0; &MDCR-F# &MDCR-T4;0;0; &MDCR-F# &MDCR-T4;0;0; &MDCR-F-# &MDCR-T4;0;0; &MDCR-F !1.200R#| &MDCR-T5;0;0; &MDCR-F &MDCR-S-#BB &MDCR-T4;0;0; &MDCR-F#uu &MDCR-T4;0;0; &MDCR-F# &MDCR-T4;0;0; &MDCR-F# &MDCR-T4;0;0; &MDCR-F-## &MDCR-T4;0;0; &MDCR-F !0.000RS# &MDCR-T5;0;0; &MDCR-F &MDCR-S &MDCR-T4;0;0; &MDCR-F !4.000R2 &MDCR-T5;0;0; &MDCR-F &MDCR-S- &MDCR-T4;0;0; &MDCR-F !0.800R &MDCR-T5;0;0; &MDCR-F &MDCR-S}} &MDCR-T4;0;0; &MDCR-F !1.600R &MDCR-T5;0;0; &MDCR-F &MDCR-S &MDCR-T4;0;0; &MDCR-F !2.400Rr &MDCR-T5;0;0; &MDCR-F &MDCR-S< <  &MDCR-T4;0;0; &MDCR-F !3.200R &MDCR-T5;0;0; &MDCR-F &MDCR-S-.% O U   4 O OO3TN+{   &*MDCR-T"8;5;0;Response 1(A:Time Mean Line) &MDCR-F-- ] &&AMDCR-T98;5;1;Response 1(A:Time Mean Line) X = -1.000 Y = 0.356 &MDCR-F  ]&&AMDCR-T98;5;21;Response 1(A:Time Mean Line) X = 1.000 Y = 3.121 &MDCR-F)A&&BMDCR-T:8;51;1;Response 1(Center Point Mean) X = 0.000 Y = 1.301 &MDCR-F-.% O % = U mO O "O7LavN&.MDCR-T&8;6;0;Response 1(B:Distance Mean Line) &MDCR-F--? ] (&EMDCR-T=8;6;1;Response 1(B:Distance Mean Line) X = -1.000 Y = 1.411@ &MDCR-F](&EMDCR-T=8;6;21;Response 1(B:Distance Mean Line) X = 1.000 Y = 1.203@ &MDCR-F)A&&BMDCR-T:8;52;1;Response 1(Center Point Mean) X = 0.000 Y = 1.301 &MDCR-F-.% O <   (O v^OBO#mNJ&-MDCR-T%8;7;0;Response 1(C:Voltage Mean Line)) &MDCR-F-- ] '&DMDCR-T<8;7;1;Response 1(C:Voltage Mean Line) X = -1.000 Y = 0.460 &MDCR-F ]'&DMDCR-T<8;7;21;Response 1(C:Voltage Mean Line) X = 1.000 Y = 2.159 &MDCR-F)A&&BMDCR-T:8;53;1;Response 1(Center Point Mean) X = 0.000 Y = 1.301 &MDCR-F ! Main Effect &MDCR-T6;0;0; &MDCR-F &MDCR-S & &MDCR-T6;0;0; &MDCR-F< < & &MDCR-T6;0;0; &MDCR-F  ! Response 1F &MDCR-T7;5;0; &MDCR-F &MDCR-S !Y' = Y &MDCR-T7;5;0; &MDCR-F &MDCR-S -Em! ! &MDCR-T7;5;0; &MDCR-F- ! &MDCR-T7;5;0; &MDCR-F!A:Time Mean Line" &MDCR-T7;5;0; &MDCR-F &MDCR-S-m! ! &MDCR-T7;51;0; &MDCR-F!Center Point Mean[" &MDCR-T7;51;0; &MDCR-F &MDCR-S-m!D ! &MDCR-T7;6;0; &MDCR-F-v v! &MDCR-T7;6;0; &MDCR-F!B:Distance Mean Line " &MDCR-T7;6;0; &MDCR-F &MDCR-S-Zm! ! &MDCR-T7;52;0; &MDCR-F!Center Point Mean" &MDCR-T7;52;0; &MDCR-F &MDCR-S- m! ! &MDCR-T7;7;0; &MDCR-F- ! &MDCR-T7;7;0; &MDCR-F!C:Voltage Mean Lineeo" &MDCR-T7;7;0; &MDCR-F &MDCR-S- m!X ! &MDCR-T7;53;0; &MDCR-F!Center Point Mean " &MDCR-T7;53;0; &MDCR-F &MDCR-S ! User's Name; &MDCR-T6;0;0; &MDCR-F &MDCR-S !CompanyS! &MDCR-T6;0;0; &MDCR-F &MDCR-S ! 2/23/2008Z" &MDCR-T6;0;0; &MDCR-F &MDCR-S ! 8:06:17 AM # &MDCR-T6;0;0; &MDCR-F &MDCR-S# #& &MDCR-T6;0;0; &MDCR-F &MDCR-}m--"SystemFfF !-aAa_MainProject Box-Behnken Design.docX-C:\DOCUME~1\MCAROL~1\LOCALS~1\Temp\RSF209.tmpࡱ> #` !bjbjmm 43::: D  RRR8S|S kj,U,U:fUfUfUXXXiiiiiii$clhnj YfXjX@YYjPPfUfU%j _ _ _YJP2fU fUi _Yi _ _a  6bfU U /xR[bcD;j0kj b,Kou\2Ko6b6b8Ko nb8X"X _XXXXXjj^dXXXkjYYYY $+7$ 7 PPPPPP Example Box-Behnken design is a response surface methodology design. It is used to further study the quadratic effect of factors after identifying the signficant factors using screening factorial experiments. Box-Behnken designs do not contain any points at the vertices of the experimental region. This could be advantageous when the points on the corners of the cube represent factor-level combinations that are prohibitively expensive or impossible to test because of physical process constraints. Consider a UV-light system that is used to inactivate fungal spores of Aspergillus niger in corn meal.* Fungal contamination of grains during the post-harvest period has been a recurring health hazard. The response is the log10 reduction of the fungal spores. Therefore, you want to maximize the reduction (response). Three process parameters in the UV-light system will affect the inactivation results. They are: A) treatment time (number of pulses), B) the distance from the UV strobe and C) input voltage for the UV lamp. FactorNameUnitLevel -Level +ATimes20100BDistancecm313CVoltagev20003800 A 15 run Box-Behnken design with three center points is conducted. A full quadratic model was fitted to the data. Using this model, the optimal setting that gives the largest reduction of fungal spores was found. Design the Experiment The design matrix and the data are given in the UV-light Treatment 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 Response Surface Method Design then click Next.  Step 3: In the second step of the Design Wizard, select Box-Behnken 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 Next to view the design summary, then click Finish to create the Standard Folio containing the Box-Behnken 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 UV-light Treatment 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. Once the data set has been entered in the Data Sheet, you can analyze it. Step 1: Double-click the UV-light Treatment Folio to open it. The Design tab will be displayed. Step 2: Specify to include all effects (i.e. full quadratics) in the model. To do this, click the Select Effects icon and, in the Effects window, use the settings shown next then click OK.  Step 3: On the Options page of the Control Panel, select to use Individual Terms in the analysis. Step 4: 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. ANOVA TableSource of VariationDegrees of FreedomSum of Squares [Partial]Mean Squares [Partial]F RatioP ValueModel924.54972.7277A:Time115.29615.296517.79433.05E-06B:Distance10.08630.08632.92210.1481C:Voltage15.77155.7715195.3753.37E-05AB10.00750.00750.25330.6362AC12.67492.674990.54850.0002BC10.00210.00210.07160.7997AA10.70670.706723.9240.0045BB10.00010.00010.00490.947CC10.00030.00030.00960.9259Residual50.14770.0295Lack of Fit30.14770.0492--Pure Error200Total1424.6975 From the ANOVA table, we can see that effects A, C, AC and AA are significant. The P value for factor B is 0.1481, which is close to the risk level 0.1. Therefore, we will also include it in the final model. The results for the reduced model are given in the Reduced Model Folio. You can also reproduce the Folio by the following steps. Step 5: Right-click the UV-light Treatment Folio in the Project Explorer and select Duplicate Item from the shortcut menu that appears. Rename the new Folio. Step 6: Click the Select Effects icon and select only the significant effects to calculate the new model, as shown next, then click OK.  Step 7: Click Calculate. The coefficients for the parameters in the reduced model are: Regression InformationTermCoefficientStandard ErrorLow CIHigh CIT ValueP ValueIntercept1.30960.051.21791.401326.17488.37E-10A:Time1.38280.04681.2971.468529.54572.85E-10B:Distance-0.10390.0468-0.1897-0.0181-2.21950.0536C:Voltage0.84940.04680.76360.935218.14892.13E-08AC0.81770.06620.69640.939112.35546.00E-07AA0.43640.06850.31080.5626.37040.0001 You can use this model as the final model to conduct optimization. Optimization Step 1: Click the Optimization icon in the Control Panel. Step 2: On the Response Settings page of the Optimization Settings window, use the settings shown next.  Step 3: On the Factor Settings page of the Optimization Settings window, set the range of each factor, as shown next. The ranges are the limits of each factor within which the optimal settings should fall.  Step 4: Click OK to close the window and plot the optimal solution, as shown next.  Conclusions The optimal solution is found to be A = 100 s, B = 3 cm and C = 3800 v. Under this setting, the expected logarithmic transformation of the reduction is 4.9. Keep in mind that it is necessary to conduct an experiment using this setting to confirm this conclusion. * S. Jun, J. Irudayaraj, A. Demirci and D. Geiser, Pulsed UV-light treatment of corn meal for inactivation of Aspergillus niger spores, International Journal of Food Science and Technology, 2003, 38, 883-888.      HYPERLINK "http://www.reliasoft.com/Weibull/weibull7.htm"  Page  PAGE 7 of  NUMPAGES 8 2008 ReliaSoft Corporation. ALL RIGHTS RESERVED  !=   - ? 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