{"text_format":"1","workbook":"xlsx","n_sheets":5,"sheets":["Data","Design","Design analysis","XLSTAT_20201210_113657_1_HID1","XLSTAT_20201210_113657_1_HID"],"not_rendered":{"charts":9,"images":5,"macros":1,"external_links":0,"defined_names":20,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Data","index":0,"n_rows":3,"n_cols":2,"rows_kept":3,"cut":false,"hidden":false,"merged":[]}
["F1","F2"]
[-20,-20]
[260,100]

{"sheet":"Design","index":1,"n_rows":43,"n_cols":10,"rows_kept":43,"cut":false,"hidden":false,"merged":[]}
[null,"XLSTAT 2020.5.1.12345 - Surface response designs - Start time: 09/12/2020 at 16:49:28 / End time: 09/12/2020 at 16:49:30 / Microsoft Excel 16.013426"]
[null,"Quantitative factors (min/max): Workbook = Book1 / Sheet = Data / Range = 'Data'!$A$1:$B$3 / 2 rows and 2 columns"]
[null,"Repetitions: 1"]
[null,"Number of factors: 2"]
[null,"Number of respondents: 1"]
[null,"Seed (random numbers): 123456789"]
[]
[]
[]
[]
[null,"Variable informations:"]
[]
[null,"Short name","Nbr. of categories","Category 1","Category 2"]
[null,"F1",2,"-20","260"]
[null,"F2",2,"-20","100"]
[]
[]
[null,"Experimental design:"]
[]
[null,"Observations","Sort order","Run order","Repetition","F1","F2","Response 1"]
[null,"Obs1",1,1,1,-20,-20,58.25]
[null,"Obs2",2,2,1,260,-20,64.75]
[null,"Obs3",3,3,1,-20,100,66.05]
[null,"Obs4",4,4,1,260,100,69.349999999999994]
[null,"Obs5",5,5,1,-77.989898732233314,40,59.55]
[null,"Obs6",6,6,1,317.98989873223331,40,68.05]
[null,"Obs7",7,7,1,120,-44.852813742385706,60.15]
[null,"Obs8",8,8,1,120,124.85281374238571,69.849999999999994]
[null,"Obs9",9,9,1,120,40,71.55]
[null,"Obs10",10,10,1,120,40,71.849999999999994]
[null,"Obs11",11,11,1,120,40,71.150000000000006]
[null,"Obs12",12,12,1,120,40,71.55]
[null,"Obs13",13,13,1,120,40,71.650000000000006]
[]
[]
[null,"Response optimization:"]
[]
[null,null,"Goal","Lower","Target left","Target right","Upper","s","t","Weights"]
[null,"Response1",4,{"$f":"MIN(Design!$H$21:$H$33)","v":58.25},{"$f":"IF(Design!$C$39 = 3, MIN(Design!$H$21:$H$33), MAX(Design!$H$21:$H$33))","v":71.849999999999994},{"$f":"IF(Design!$C$39 = 3, MAX(Design!$H$21:$H$33), MIN(Design!$H$21:$H$33))","v":58.25},{"$f":"MAX(Design!$H$21:$H$33)","v":71.849999999999994},1,1,1]
[]
[]
[]
[null,"Once you filled in the Surface Response design with responses for individuals, you can click the button above to automatically launch the interface and run the analysis."]

{"sheet":"Design analysis","index":2,"n_rows":233,"n_cols":8,"rows_kept":233,"cut":false,"hidden":false,"merged":[]}
[null,"XLSTAT 2020.5.1.12345 - Analysis of a surface response design - Start time: 10/12/2020 at 11:37:01 / End time: 10/12/2020 at 11:37:04 / Microsoft Excel 16.013426"]
[null,"Y / Results: Workbook = demo_DOE2.xlsm / Sheet = Design / Range = 'Design'!$H$20:$H$33 / 13 rows and 1 column"]
[null,"Experimental design: Workbook = demo_DOE2.xlsm / Sheet = Design / Range = 'Design'!$B$20:$G$33 / 13 rows and 6 columns"]
[null,"Variable informations: Workbook = demo_DOE2.xlsm / Sheet = Design / Range = 'Design'!$B$13:$E$15 / 2 rows and 4 columns"]
[null,"Response optimization: Workbook = demo_DOE2.xlsm / Sheet = Design / Range = 'Design'!$B$38:$J$39 / 1 row and 9 columns"]
[null,"Number of factors: 2"]
[null,"Number of repetitions: 13"]
[null,"Response optimization: True"]
[]
[]
[]
[]
[null,"Variable informations:"]
[]
[null,"Short name","Nbr. of categories","Category 1","Category 2"]
[null,"F1","2","-20","260"]
[null,"F2","2","-20","100"]
[]
[]
[null,"Response optimization:"]
[]
[null,null,"F1","F2","Desirability"]
[null,"Solution1",145.98617420860555,52.197591975468093,1]
[null,"Solution2",131.30656582404882,53.788582233137781,1]
[null,"Solution3",108.86306819631187,54.981824926390111,1]
[null,"Solution4",148.00000000000014,46.000000000000064,1]
[null,"Solution5",138.375,48.625000000000014,1]
[]
[]
[null,"Regression of variable Response 1:"]
[]
[null,"Goodness of fit statistics (Response 1):"]
[]
[null,"Observations",13]
[null,"Sum of weights",13]
[null,"DF",7]
[null,"R²",0.99612533341309195]
[null,"Adjusted R²",0.99335771442244336]
[null,"MSE",0.16765724900304599]
[null,"RMSE",0.40945970375977903]
[null,"MAPE",0.37593922001014474]
[null,"DW",2.285818769183626]
[null,"Cp",6]
[null,"AIC",-19.26334609452838]
[null,"SBC",-15.873649949759159]
[null,"PC",1.0516952164464553E-2]
[]
[]
[null,"Analysis of variance  (Response 1):"]
[]
[null,"Source","DF","Sum of squares","Mean squares","F","Pr > F"]
[null,"Model",5,301.7171684877481,60.343433697549621,359.92141142941756,2.7974020214159472E-8]
[null,"Error",7,1.173600743021322,0.16765724900304599]
[null,"Corrected Total",12,302.89076923076942]
[null,"Computed against model Y=Mean(Y)"]
[]
[]
[null,"Type I Sum of Squares analysis (Response 1):"]
[]
[null,"Source","DF","Sum of squares","Mean squares","F","Pr > F"]
[null,"F1",1,59.518497436419722,59.518497436419722,355.00103807225412,2.9483801909089683E-7]
[null,"F2",1,85.267901820558876,85.267901820558876,508.58464115088594,8.5316194502922792E-8]
[null,"F1*F1",1,82.018595317725783,82.018595317725783,489.20399091264864,9.7580065087721196E-8]
[null,"F1*F2",1,2.5600000000000307,2.5600000000000307,15.269247319890837,5.8415312239637049E-3]
[null,"F2*F2",1,72.352173913043686,72.352173913043686,431.5481396914081,1.5046267247766585E-7]
[]
[]
[null,"Type II Sum of Squares analysis (Response 1):"]
[]
[null,"Source","DF","Sum of squares","Mean squares","F","Pr > F"]
[null,"F1",1,59.518497436419523,59.518497436419523,355.00103807225298,2.9483801909089995E-7]
[null,"F2",1,85.267901820558791,85.267901820558791,508.58464115088543,8.5316194502923096E-8]
[null,"F1*F1",1,101.77826086956537,101.77826086956537,607.06149883036835,4.6234718034905288E-8]
[null,"F1*F2",1,2.5600000000000023,2.5600000000000023,15.269247319890667,5.8415312239638723E-3]
[null,"F2*F2",1,72.352173913043686,72.352173913043686,431.5481396914081,1.5046267247766585E-7]
[]
[]
[null,"Type III Sum of Squares analysis (Response 1):"]
[]
[null,"Source","DF","Sum of squares","Mean squares","F","Pr > F"]
[null,"F1",1,59.518497436419501,59.518497436419501,355.00103807225281,2.9483801909089995E-7]
[null,"F2",1,85.267901820559345,85.267901820559345,508.58464115088873,8.5316194502921283E-8]
[null,"F1*F1",1,101.77826086956533,101.77826086956533,607.06149883036801,4.6234718034905288E-8]
[null,"F1*F2",1,2.5600000000000023,2.5600000000000023,15.269247319890667,5.8415312239638723E-3]
[null,"F2*F2",1,72.352173913043686,72.352173913043686,431.5481396914081,1.5046267247766585E-7]
[]
[]
[null,"Model parameters (Response 1):"]
[]
[null,"Source","Value","Standard error","t","Pr > |t|","Lower bound (95%)","Upper bound (95%)"]
[null,"Intercept",71.55,0.18311594633075848,390.73604147374874,1.8990174154746865E-16,71.116999599934843,71.983000400065151]
[null,"F1",2.7276019100214102,0.14476586657558738,18.841471228973944,2.9483801911034391E-7,2.3852850370289036,3.0699187830139167]
[null,"F2",3.2647339443773711,0.14476586657558718,22.551821238003935,8.5316194553541891E-8,2.922417071384865,3.6070508173698772]
[null,"F1*F1",-3.8250000000000086,0.15524409664843278,-24.638618038160505,4.6234718054094515E-8,-4.1920939495084051,-3.4579060504916117]
[null,"F1*F2",-0.80000000000000093,0.20472985187988951,-3.9075884276482711,5.8415312239639139E-3,-1.2841091644151517,-0.31589083558485009]
[null,"F2*F2",-3.2249999999999965,0.15524409664843214,-20.7737367772726,1.5046267254348322E-7,-3.5920939495083917,-2.8579060504916014]
[]
[]
[null,"Equation of the model (Response 1):"]
[]
[null,"Response 1 = 71,55+2,72760191002141*F1+3,26473394437737*F2-3,82500000000001*F1*F1-0,800000000000001*F1*F2-3,225*F2*F2"]
[]
[]
[null,"Standardized coefficients (Response 1):"]
[]
[null,"Source","Value","Standard error","t","Pr > |t|","Lower bound (95%)","Upper bound (95%)"]
[null,"F1",0.44328492297138233,2.352708647771146E-2,18.841471228973941,2.9483801911034391E-7,0.38765220467815581,0.49891764126460886]
[null,"F2",0.53057864849640846,2.352708647771146E-2,22.551821238003935,8.5316194553541891E-8,0.47494593020318193,0.58621136678963504]
[null,"F1*F1",-0.58466979483302428,2.3729812846137822E-2,-24.638618038160509,4.6234718054094515E-8,-0.64078188480518594,-0.52855770486086262]
[null,"F1*F2",-9.1934170856585409E-2,2.352708647771146E-2,-3.9075884276482706,5.8415312239639139E-3,-0.14756688914981195,-3.6301452563358871E-2]
[null,"F2*F2",-0.49295688583960906,2.3729812846137826E-2,-20.773736777272596,1.5046267254348322E-7,-0.54906897581177072,-0.4368447958674474]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null," "]
[]
[]
[null,"Predictions and residuals (Response 1):"]
[]
[null,"Observation","Weight","Response 1","Pred(Response 1)","Residual","Std. residual"]
[null,"Obs1",1,58.25,57.707664145601214,0.54233585439878595,1.3245158178421446]
[null,"Obs2",1,64.75,64.762867965644034,-1.286796564403403E-2,-3.1426696023751782E-2]
[null,"Obs3",1,66.05,65.83713203435596,0.21286796564403687,0.51987524947979202]
[null,"Obs4",1,69.349999999999994,69.692335854398777,-0.34233585439878311,-0.83606726438610435]
[null,"Obs5",1,59.55,60.042588386092952,-0.49258838609295452,-1.2030204231817285]
[null,"Obs6",1,68.05,67.757411613907038,0.29258838609295879,0.71457186972570552]
[null,"Obs7",1,60.15,60.482968978321722,-0.33296897832172334,-0.8131910790348954]
[null,"Obs8",1,69.849999999999994,69.717031021678253,0.13296897832174182,0.3247425255789072]
[null,"Obs9",1,71.55,71.55,0,0]
[null,"Obs10",1,71.849999999999994,71.55,0.29999999999999716,0.73267283018404306]
[null,"Obs11",1,71.150000000000006,71.55,-0.39999999999999147,-0.9768971069120459]
[null,"Obs12",1,71.55,71.55,0,0]
[null,"Obs13",1,71.650000000000006,71.55,0.10000000000000853,0.24422427672803748]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null," "]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null," "]
[]
[]
[null,"Surface plot (Response 1):"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null," "]
[]
[]
[null,"Trace plot (Response 1):"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null," "]

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[-8,59.68161093447668,60.745121125478818,61.732131316480967,62.642641507483098,63.476651698485234,64.234161889487396,64.91517208048954,65.519682271491675,66.047692462493814,66.499202653495956,66.874212844498103,67.17272303550024,67.394733226502382,67.540243417504527,67.609253608506677,67.601763799508817,67.517773990510946,67.357284181513094,67.120294372515218,66.806804563517375,66.416814754519507]
[-2,60.57183432891442,61.627344519916562,62.606354710918701,63.508864901920852,64.334875092922985,65.084385283925144,65.757395474927279,66.353905665929418,66.873915856931561,67.317426047933708,67.684436238935845,67.974946429937972,68.188956620940118,68.326466811942268,68.387477002944422,68.371987193946552,68.279997384948686,68.111507575950824,67.866517766952967,67.545027957955114,67.14703814895725]
[4,61.397557723352158,62.445067914354297,63.416078105356448,64.310588296358588,65.128598487360719,65.870108678362882,66.535118869365007,67.123629060367151,67.635639251369284,68.071149442371436,68.430159633373577,68.712669824375709,68.918680015377859,69.048190206379999,69.101200397382144,69.077710588384278,68.977720779386416,68.801230970388559,68.548241161390692,68.218751352392843,67.812761543394984]
[10,62.158781117789893,63.198291308792029,64.161301499794163,65.047811690796308,65.857821881798444,66.591332072800597,67.248342263802741,67.828852454804874,68.332862645807012,68.760372836809154,69.1113830278113,69.385893218813436,69.583903409815576,69.705413600817721,69.75042379181987,69.718933982822008,69.610944173824137,69.426454364826284,69.165464555828422,68.827974746830563,68.413984937832709]
[16,62.855504512227633,63.887014703229774,64.842024894231912,65.720535085234047,66.522545276236173,67.248055467238345,67.897065658240479,68.469575849242617,68.965586040244744,69.385096231246905,69.728106422249041,69.994616613251168,70.184626804253327,70.298136995255462,70.335147186257615,70.295657377259744,70.179667568261891,69.987177759264029,69.718187950266156,69.372698141268302,68.950708332270452]
[22,63.487727906665377,64.511238097667515,65.458248288669651,66.328758479671791,67.122768670673921,67.840278861676083,68.481289052678221,69.045799243680364,69.533809434682496,69.945319625684647,70.280329816686788,70.538840007688918,70.720850198691068,70.826360389693207,70.855370580695364,70.807880771697498,70.683890962699635,70.483401153701777,70.206411344703909,69.852921535706045,69.422931726708185]
[28,64.055451301103119,65.070961492105241,66.009971683107395,66.872481874109539,67.658492065111659,68.368002256113826,69.001012447115954,69.557522638118101,70.037532829120238,70.441043020122379,70.768053211124524,71.018563402126659,71.192573593128799,71.290083784130942,71.31109397513309,71.255604166135228,71.12361435713737,70.915124548139502,70.630134739141639,70.268644930143793,69.830655121145924]
[34,64.558674695540844,65.56618488654297,66.497195077545115,67.351705268547263,68.129715459549388,68.831225650551545,69.456235841553692,70.004746032555829,70.476756223557956,70.872266414560116,71.191276605562251,71.433786796564377,71.599796987566535,71.689307178568669,71.702317369570821,71.638827560572963,71.498837751575095,71.282347942577232,70.989358133579373,70.619868324581518,70.173878515583652]
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