{"text_format":"1","workbook":"xlsx","n_sheets":6,"sheets":["R4 Designs","R4 Runs","Input","R4 2 factors FF","R4 3 factors III","Output"],"not_rendered":{"charts":2,"images":0,"macros":1,"external_links":0,"defined_names":9,"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":"R4 Designs","index":0,"n_rows":46,"n_cols":19,"rows_kept":46,"cut":false,"hidden":false,"merged":[[23,9,23,17],[42,9,42,17],[43,9,43,17],[44,9,44,17],[45,9,45,17],[36,9,36,17],[37,9,37,17],[38,9,38,17],[39,9,39,17],[40,9,40,17],[41,9,41,17],[35,9,35,17],[24,9,24,17],[25,9,25,17],[26,9,26,17],[27,9,27,17],[33,9,33,17],[34,9,34,17],[28,9,28,17],[29,9,29,17],[30,9,30,17],[31,9,31,17],[32,9,32,17]]}
["DOE_R4_All_1.0",null,null,null,null,null,null,null,null,"Author: Bo Svensmark, svensmark@plen.ku.dkAnalytical Chemistry, PLEN, 2015 - 2025",null,null,null,null,null,null,null,"Grey cells are protected"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"To unprotect: Review -> Unprotect Sheet"]
[null,"1) Fill in or correct the white cells in Table 1-5",null,null,null,null,null,null,null,null,"Table 1: Informations in free format"]
[null,"2) If you want to randomize groups click on Randomize design",null,null,null,null,null,null,null,null,"Table 2: Parameters that must be valid (no errors)"]
[null,"3) When everything is ready click on  Make run tables",null,null,null,null,null,null,null,null,"Table 3: Factors and levels "]
[null,null,null,null,null,null,null,null,null,null,"Table 4: Assign group A-H to runs"]
[null,"4) After you finished the design save the spreadsheet with a new name Save As…",null,null,null,null,null,null,null,null,"Table 5: Comments in free format (1 line of any length)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Method must be in the list of methods"]
[]
[null,"Table 1: Informations about the design",null,null,null,null,"2 Factors: Resolution FF",null,null,null,"Table 2: Design parameters",null,null,"Valid input",null,null,"Methods"]
[null,"Group",null,null,null,{"$f":"IF(D11=\"\",\"Warning\",\"\")","v":"Warning"},"3 Factors: Resolution III",null,null,null,"Method",null,null,"Methods",{"$f":"IF(ISNA(VLOOKUP(M11,Q11:Q19,1,FALSE)),\"Error\",\"\")","v":"Error"},null,"SH","Static headspace"]
[null,"Date",null,null,null,{"$f":"IF(D12=\"\",\"Warning\",\"\")","v":"Warning"},null,null,null,null,"Design no",null,null,"1-",{"$f":"IF(AND(M12>0, M12<10),\"\",\"Error\")","v":"Error"},null,"DH","Dynamic headspace"]
[null,"Resolution",null,null,null,"Warning",null,null,null,null,"No of factors",null,null,"2-3",{"$f":"IF(OR(M13<2,M13>3),\"Error\",\"\")","v":"Error"},null,"LLE","Liquid-liquid extraction"]
[null,"Design",null,null,null,"Warning",null,null,null,null,"No of center points",null,null,"0 - 4",{"$f":"IF(OR(M14<0,M14>4),\"Error\",\"\")","v":""},null,"DLL","DLLME"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"SBS","SBSE"]
[null,null,null,null,null,null,null,null,null,null,"If 2 center levels, each will be with n points",null,null,null,null,null,"QUE","QuECHers"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"HLB","SPE-HLB"]
[null,"Table 3: Design factors",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"SPM","SPME"]
["Design","Factor",1,2,{"$f":"IF(M13=3,3,\"\")","v":""},null,null,null,null,null,null,null,null,null,null,null,"MAX","SPE-MAX"]
[null,"Name"]
[null,"Unit"]
[null,"Low"]
[null,"Center 1",null,null,null,"Table 4: Groups",null,null,null,"Table 5: Comments and constant factors"]
[null,"Center 2",null,null,null,"To be run",null,"Labels",null,null,null,null,null,null,null,null,null,null,"Text in the upper box is for all runs"]
[null,"High",null,null,null,"by"]
[null,"Run #",1,2,3,"Group","Replicat"]
["Corner",1,{"$f":"IF(C$22<>\"\",C$22,\"\")","v":""},{"$f":"IF(D$22<>\"\",D$22,\"\")","v":""},{"$f":"IF(E$25<>\"\",E$25,\"\")","v":""},null,null,{"$f":"IF(F27<>\"\",CONCATENATE($M$11,TEXT(($M$12*1000+$B27)+100,\"###\"),F27),\"\")","v":""},{"$f":"IF(G27<>\"\",CONCATENATE($I$25,TEXT(($M$12*1000+$B27)+200,\"###\"),G27),\"\")","v":""},null,null,null,null,null,null,null,null,null,"Text here is only for the run in the same line"]
["points",2,{"$f":"IF(C$25<>\"\",C$25,\"\")","v":""},{"$f":"IF(D$22<>\"\",D$22,\"\")","v":""},{"$f":"IF(E$22<>\"\",E$22,\"\")","v":""},null,null,{"$f":"IF(F28<>\"\",CONCATENATE($M$11,TEXT(($M$12*1000+$B28)+100,\"###\"),F28),\"\")","v":""},""]
[null,3,{"$f":"IF(C$22<>\"\",C$22,\"\")","v":""},{"$f":"IF(D$25<>\"\",D$25,\"\")","v":""},"",null,null,"",""]
[null,4,{"$f":"IF(C$25<>\"\",C$25,\"\")","v":""},"",{"$f":"IF(E$25<>\"\",E$25,\"\")","v":""},null,null,"",""]
["Center 1",5,{"$f":"IF($M$14>0,IF(C$23<>\"\",C$23,\"\"),\"\")","v":""},{"$f":"IF($M$14>0,IF(D$23<>\"\",D$23,\"\"),\"\")","v":""},{"$f":"IF($M$14>0,IF(E$23<>\"\",E$23,\"\"),\"\")","v":""},null,null,"",""]
["points",6,{"$f":"IF($M$14>1,IF(C$23<>\"\",C$23,\"\"),\"\")","v":""},{"$f":"IF($M$14>1,IF(D$23<>\"\",D$23,\"\"),\"\")","v":""},{"$f":"IF($M$14>1,IF(E$23<>\"\",E$23,\"\"),\"\")","v":""},null,null,"",""]
[null,7,{"$f":"IF($M$14>2,IF(C$23<>\"\",C$23,\"\"),\"\")","v":""},{"$f":"IF($M$14>2,IF(D$23<>\"\",D$23,\"\"),\"\")","v":""},{"$f":"IF($M$14>2,IF(E$23<>\"\",E$23,\"\"),\"\")","v":""},null,null,"",""]
[null,8,{"$f":"IF($M$14>3,IF(C$23<>\"\",C$23,\"\"),\"\")","v":""},{"$f":"IF($M$14>3,IF(D$23<>\"\",D$23,\"\"),\"\")","v":""},{"$f":"IF($M$14>3,IF(E$23<>\"\",E$23,\"\"),\"\")","v":""},null,null,"",""]
["Center 2",9,{"$f":"IF($M$14>0,IF(C$24<>\"\",C$24,\"\"),\"\")","v":""},{"$f":"IF($M$14>0,IF(D$24<>\"\",D$24,\"\"),\"\")","v":""},{"$f":"IF($M$14>0,IF(E$24<>\"\",E$24,\"\"),\"\")","v":""},null,null,"",""]
["points",10,{"$f":"IF($M$14>1,IF(C$24<>\"\",C$24,\"\"),\"\")","v":""},{"$f":"IF($M$14>1,IF(D$24<>\"\",D$24,\"\"),\"\")","v":""},{"$f":"IF($M$14>1,IF(E$24<>\"\",E$24,\"\"),\"\")","v":""},null,null,"",""]
[null,11,{"$f":"IF($M$14>2,IF(C$24<>\"\",C$24,\"\"),\"\")","v":""},{"$f":"IF($M$14>2,IF(D$24<>\"\",D$24,\"\"),\"\")","v":""},{"$f":"IF($M$14>2,IF(E$24<>\"\",E$24,\"\"),\"\")","v":""},null,null,"",""]
[null,12,{"$f":"IF($M$14>3,IF(C$24<>\"\",C$24,\"\"),\"\")","v":""},{"$f":"IF($M$14>3,IF(D$24<>\"\",D$24,\"\"),\"\")","v":""},{"$f":"IF($M$14>3,IF(E$24<>\"\",E$24,\"\"),\"\")","v":""},null,null,"",""]
["Extra",13,null,null,null,null,null,"",""]
["runs",14,null,null,null,null,null,"",""]
[null,15,null,null,null,null,null,"",""]
[null,16,null,null,null,null,null,"",""]
[null,17,null,null,null,null,null,"",""]
[null,18,null,null,null,null,null,"",""]
[null,19,null,null,null,null,null,"",""]
[null,20,null,null,null,null,null,"",""]

{"sheet":"R4 Runs","index":1,"n_rows":56,"n_cols":1,"rows_kept":56,"cut":false,"hidden":false,"merged":[[60,4,60,13],[61,4,61,13],[54,4,54,13],[55,4,55,13],[56,4,56,13],[57,4,57,13],[58,4,58,13],[59,4,59,13],[53,4,53,13],[42,4,42,13],[43,4,43,13],[44,4,44,13],[45,4,45,13],[46,4,46,13],[47,4,47,13],[48,4,48,13],[49,4,49,13],[50,4,50,13],[51,4,51,13],[52,4,52,13],[41,4,41,13],[30,4,30,13],[31,4,31,13],[32,4,32,13],[33,4,33,13],[34,4,34,13],[35,4,35,13],[36,4,36,13],[37,4,37,13],[38,4,38,13],[39,4,39,13],[40,4,40,13],[29,4,29,13],[18,4,18,13],[19,4,19,13],[20,4,20,13],[21,4,21,13],[22,4,22,13],[23,4,23,13],[24,4,24,13],[25,4,25,13],[26,4,26,13],[27,4,27,13],[28,4,28,13],[17,4,17,13],[6,4,6,13],[7,4,7,13],[8,4,8,13],[9,4,9,13],[10,4,10,13],[11,4,11,13],[12,4,12,13],[13,4,13,13],[14,4,14,13],[15,4,15,13],[16,4,16,13],[5,4,5,13],[0,4,0,13],[1,4,1,13],[2,4,2,13],[3,4,3,13],[4,4,4,13]]}
[]
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[]
[]
["Group F"]
[]
[]
[]
[]
[]
[]
["Group G"]
[]
[]
[]
[]
[]
[]
["Group H"]

{"sheet":"Input","index":2,"n_rows":149,"n_cols":13558,"rows_kept":15,"cut":true,"hidden":false,"merged":[],"bounds":{"rows_first":7,"rows_last":1,"rows_between":7,"halvings":8}}
[{"$f":"'R4 Designs'!A1","v":"DOE_R4_All_1.0"},"Normalize?",null,{"$f":"IF(D100<>\"\",D100,\"\")","v":""},null,{"$f":"IF(F100<>\"\",F100,\"\")","v":""},null,{"$f":"IF(H100<>\"\",H100,\"\")","v":""},null,{"$f":"IF(J100<>\"\",J100,\"\")","v":""},null,{"$f":"IF(L100<>\"\",L100,\"\")","v":""},null,{"$f":"IF(N100<>\"\",N100,\"\")","v":""},null,{"$f":"IF(P100<>\"\",P100,\"\")","v":""},null,{"$f":"IF(R100<>\"\",R100,\"\")","v":""},null,{"$f":"IF(T100<>\"\",T100,\"\")","v":""},"","","","","",null,"Author: Bo Svensmark, svensmark@plen.ku.dkAnalytical Chemistry, PLEN, 2015 - 2025"]
[null,"Yes=1 No=0:",1,null,{"$f":"IF(E100<>\"\",E100,\"\")","v":""},null,"",null,"",null,"",null,"",null,"",null,"",null,"","","","","","","","",{"$f":"IF(AA100<>\"\",AA100,\"\")","v":""},null,null,null,null,"","","","","","","","",{"$f":"IF(AN102<>\"\",AN102,\"\")","v":""},{"$f":"IF(AO102<>\"\",AO102,\"\")","v":""},{"$f":"IF(AP102<>\"\",AP102,\"\")","v":""},{"$f":"IF(AQ102<>\"\",AQ102,\"\")","v":""},"","","","","","","",""]
["Select (1/0) ?",1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,3]
[null,"Mean(area)",{"$f":"MAX(D4:Z4)","v":0},{"$f":"IF(D3>0,AVERAGE(D101:D177),\"\")","v":""},"","","","","","","","","","","","","","","","","","","","","","","In these columns you may add",null,null,null,null,"1) Copy results table to the white cells surronded by yellow in cell C100:Z136 (2nd replicate to 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Copy the response data to the white cells surronded by yellow in cell C100:Z136 (2nd replicate to C141:Z176)"]
[null,"Max(area)",null,{"$f":"IF(D3>0,MAX(D101:D177),\"\")","v":""},"","","","","","","","","","","","","","","","","","","","","","","calculated variables to include in"]
[null,"Min(area)",null,{"$f":"IF(D3>0,MIN(D101:D177),\"\")","v":""},"","","","","","","","","","","","","","","","","","","","","","","the analysis. Could be harmonic or",null,null,null,null,"2) In row 3 white cells enter a 1 for compounds which should be selected for analysis - and 0 if you want to skip 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If you do not want to normalize data, change 1 in cell C3 to 0"]
[null,"Relative areas",null,{"$f":"IF(D3>0,100*D4/$C$4,\"\")","v":""},"","","","","","","","","","","","","","","","","","","","","","","geometric mean, or ???",null,null,null,null,null,"2b) 1 will be changed to 2 when the results of the analysis have been saved. The number 3 in cell AD3 is a stop parameter"]
["","","",{"$f":"IF(AND(D$3>0,$C103<>\"\"),IF(D$5>0,IF($C$2=1,100*D103/D$5,D103),0),\"\")","v":""},"","","","","","","","","","","","","","","","","","","","","","",null,null,null,null,null,"5) Make the analysis and click Save and load next to continue - or click Save to just save the results"]
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#","Code","Example of valid codes"]
["","","",{"$f":"IF(AND(D$3>0,$C149<>\"\"),IF(D$5>0,IF($C$2=1,100*D149/D$5,D149),0),\"\")","v":""},"","","","","","","","","","","","","","","","","","","","","",""]
["","","",{"$f":"IF(AND(D$3>0,$C170<>\"\"),IF(D$5>0,IF($C$2=1,100*D170/D$5,D170),0),\"\")","v":""},"","","","","","","","","","","","","","","","","","","","","",""]
["in first row",""]
[null,""]
["column"]
["D141"]

{"sheet":"R4 2 factors FF","index":3,"n_rows":69,"n_cols":37,"rows_kept":69,"cut":false,"hidden":false,"merged":[]}
[{"$f":"Input!A1","v":"DOE_R4_All_1.0"},null,null,null,"2^2","Full factor design",null,"No confounding",null,"2 main effects",null,"1 interaction",null,null,null,null,null,null,null,null,null,{"$f":"'R4 Designs'!J1","v":"Author: Bo Svensmark, svensmark@plen.ku.dkAnalytical Chemistry, PLEN, 2015 - 2025"}]
[]
[null,"1) Enter parameters in sheet \"R4 Designs\"",null,null,null,null,"(Input in white cells only)",null,null,null,"This design is for 2 main effects + 2-factor interactions",null,null,null,null,{"$f":"IF('R4 Designs'!M13=2,2,0)","v":0},null,"No confounding",null,null,null,"This sheet can also be used in manual mode: "]
[null,"2) Enter all result in sheets \"Input\" and fill 1 or 0  in row 3 in \"Input\"",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Enter results of the runs in the table E18:H21 and E22:F29"]
[null,"3) Click on \"Start\" to load the first case.  Check that Next in cell N17 is 1",null,null,null,null,null,null,null,null,"Centerpoints may be omitted.",null,null,null,null,null,null,null,null,null,null,null,"Click on \"Update sheet\" to calculate results"]
[null,"4) See the results here",null,null,null,null,null,null,null,null,"With no replicates, no statistics is calculated",null,null,null,null,null,null,null,null,null,null,null,"You may set confidense interval manually, see below"]
[null,"5) Set confidence intervals for effects manually (see notes --->)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Click on \"Save\" to save results to sheet \"Output\""]
[null,"6) Click \"Save\" or \"Save and load next analyte\" to save results and proceed"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"All cells not intended for user input are locked. To unlock go to Review and click Unprotect Sheet"]
["Design","Factor",1,2,"No of center points:",null,{"$f":"'R4 Designs'!M14","v":0},null,{"$f":"IF(N16=\"No\",\"Results are NOT saved\",\"Results are saved in sheet Output\")","v":"Results are saved in sheet Output"},null,null,null,null,null,null,null,null,null,null,null,null,"Most cells are shown with 2 significant digits. You may want to cange that for small values"]
[null,"Name",{"$f":"IF($P$3=0,\"\",'R4 Designs'!C20)","v":""},{"$f":"IF($P$3=0,\"\",'R4 Designs'!D20)","v":""}]
[null,"Unit",{"$f":"IF($P$3=0,\"\",'R4 Designs'!C21)","v":""},{"$f":"IF($P$3=0,\"\",'R4 Designs'!D21)","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Set the confidence interval for an effects manually (Manual limit):"]
[null,"Low",{"$f":"IF($P$3=0,\"\",'R4 Designs'!C22)","v":""},{"$f":"IF($P$3=0,\"\",'R4 Designs'!D22)","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"If you do not have any replicate or centre points, you may enter a confidence interval manually (Manual limit)"]
[null,"Center 1",{"$f":"IF($P$3=0,\"\",IF('R4 Designs'!C23=\"\",\"\",'R4 Designs'!C23))","v":""},{"$f":"IF($P$3=0,\"\",IF('R4 Designs'!D23=\"\",\"\",'R4 Designs'!D23))","v":""},"Analyte:",null,null,null,null,"Rel. Area =",null,null,{"$f":"IF(ABS(SUM(C35:C37)-SUM(W35:W37))>0.000000000001,\"Please update sheet\",\"\")","v":""},null,null,null,null,null,null,null,null,"All effects of absolute magnitude higher than the manual limit will be marked as signficant (+, ++, +++ instead of *, **, ***)"]
[null,"Center 2",{"$f":"IF($P$3=0,\"\",IF('R4 Designs'!C24=\"\",\"\",'R4 Designs'!C24))","v":""},{"$f":"IF($P$3=0,\"\",IF('R4 Designs'!D24=\"\",\"\",'R4 Designs'!D24))","v":""},"Comm:"]
[null,"High",{"$f":"IF($P$3=0,\"\",'R4 Designs'!C25)","v":""},{"$f":"IF($P$3=0,\"\",'R4 Designs'!D25)","v":""},"Results","Replicates",null,null,null,null,null,null,"Saved?","Yes",null,null,null,null,null,null,null,"Even if you have an experimental determined statistical CI, you may want to play with the CI because:"]
[null,"Run",1,2,1,2,3,4,"Mean","Stdev","d.f.",null,"Index out",1,null,null,null,null,null,null,null,null,"For your purpose, even statistically insignificant effects may be important"]
["Corner",1,{"$f":"C13","v":""},{"$f":"D13","v":""},null,null,null,null,{"$f":"IF(E18<>\"\",AVERAGE(E18:H18),0)","v":0},{"$f":"IF(K18>0,STDEV(E18:H18),0)","v":0},{"$f":"IF(E18<>\"\",COUNT(E18:H18)-1,0)","v":0},null,null,null,null,null,null,null,null,null,null,null,"You suspect that the experimentally determined uncertainty is wrong"]
["points",2,{"$f":"C16","v":""},{"$f":"D13","v":""},null,null,null,null,{"$f":"IF(E19<>\"\",AVERAGE(E19:H19),0)","v":0},{"$f":"IF(K19>0,STDEV(E19:H19),0)","v":0},{"$f":"IF(E19<>\"\",COUNT(E19:H19)-1,0)","v":0}]
[null,3,{"$f":"C13","v":""},{"$f":"D16","v":""},null,null,null,null,{"$f":"IF(E20<>\"\",AVERAGE(E20:H20),0)","v":0},{"$f":"IF(K20>0,STDEV(E20:H20),0)","v":0},{"$f":"IF(E20<>\"\",COUNT(E20:H20)-1,0)","v":0}]
[null,4,{"$f":"C16","v":""},{"$f":"D16","v":""},null,null,null,null,{"$f":"IF(E21<>\"\",AVERAGE(E21:H21),0)","v":0},{"$f":"IF(K21>0,STDEV(E21:H21),0)","v":0},{"$f":"IF(E21<>\"\",COUNT(E21:H21)-1,0)","v":0}]
["Center 1",5,{"$f":"IF(C$14=\"\",\"\",IF($B22<$G$10+5,C$14,\"\"))","v":""},{"$f":"IF(D$14=\"\",\"\",IF($B22<$G$10+5,D$14,\"\"))","v":""},null,null,null,null,{"$f":"IF(E22<>\"\",AVERAGE(E22:F25),0)","v":0},{"$f":"IF(K22>0,STDEV(E22:F25),0)","v":0},{"$f":"IF(E22<>\"\",COUNT(E22:F25)-1,0)","v":0},"All center points"]
["points",6,{"$f":"IF(C$14=\"\",\"\",IF($B23<$G$10+5,C$14,\"\"))","v":""},"",null,null,null,null,null,null,null,"Mean","d.f"]
[null,7,"","",null,null,null,null,null,null,null,{"$f":"IF(E22<>\"\",AVERAGE(E22:F29),\"\")","v":""},{"$f":"K22+K26","v":0}]
[null,8,"",""]
["Center 2",9,{"$f":"IF(C$15=\"\",\"\",IF($B26<$G$10+9,C$15,\"\"))","v":""},{"$f":"IF(D$15=\"\",\"\",IF($B26<$G$10+9,D$15,\"\"))","v":""},null,null,null,null,{"$f":"IF(E26<>\"\",AVERAGE(E26:F29),0)","v":0},{"$f":"IF(K26>0,STDEV(E26:F29),0)","v":0},{"$f":"IF(E26<>\"\",COUNT(E26:F29)-1,0)","v":0},{"$f":"IF(M27>0,\"Statistics\",\"No statistics\")","v":"No statistics"}]
["points",10,{"$f":"IF(C$15=\"\",\"\",IF($B27<$G$10+9,C$15,\"\"))","v":""},"",null,null,null,null,null,null,null,"d.f.",{"$f":"SUM(K18:K26)","v":0},null,"Blue points:  not significant effects"]
[null,11,"","",null,null,null,null,null,null,null,"s(pool)",{"$f":"IF(M27>0,SQRT(SUM(J18:J26^2*K18:K26)/M27),\"\")","v":""},null,"Red points:   significant effects"]
[null,12,"","",null,null,null,null,null,null,null,"s(effect)",{"$f":"IF(M27>0,2*M28/SQRT(COUNT(E18:H21)),\"\")","v":""},null,"Green lines: If <>0: 95 % confidence interval"]
[null,null,null,null,null,null,"Extra runs",null,null,null,null,null,null,null,"Blue line:    True noise factors should be on  this line"]
[null,"Enter manual Limit:",null,null,null,"95% Confidence interval for an effect, CI:",null,null,null,{"$f":"AK35","v":0},{"$f":"IF(D31<>\"\",\"Set manually\",\"\")","v":""}]
[null,null,null,null,null,null,null,null,"CI(exp) =",{"$f":"IF(M29<>\"\",M29*TINV(0.05,M27),\"na\")","v":"na"}]
["Effects","Term","Effect","Coeff","P","Sign?"]
[null,"Mean",{"$f":"I58/4","v":0},{"$f":"C34","v":0},{"$f":"IF(AK35>0,TDIST(2*ABS(C34)/$AK$36,$AK$34,2),1)","v":1},{"$f":"IF(D$31=\"\",IF(E34<0.001,\"***\",IF(E34<0.01,\"**\",IF(E34<0.05,\"*\",\"\"))),IF(E34<0.001,\"+++\",IF(E34<0.01,\"++\",IF(E34<0.05,\"+\",\"\"))))","v":""},null,"Effectes sorted from low to high",null,null,null,null,null,null,null,null,null,null,null,null,null,"Terms","Effect","P","Noise",null,"Index","Fractile","Probit","IF",null,"Blue","Model",null,"CI(95%)","d.f.",{"$f":"IF(M29<>\"\",M27,999)","v":999}]
[null,1,{"$f":"I59/2","v":0},{"$f":"C35/2","v":0},{"$f":"IF($AK$35>0,TDIST(ABS(C35)/$AK$36,$AK$34,2),1)","v":1},{"$f":"IF(D$31=\"\",IF(E35<0.001,\"***\",IF(E35<0.01,\"**\",IF(E35<0.05,\"*\",\"\"))),IF(E35<0.001,\"+++\",IF(E35<0.01,\"++\",IF(E35<0.05,\"+\",\"\"))))","v":""},null,"Term","Effect","Noise",null,null,null,null,null,null,null,null,null,null,null,1,0,1,0,null,1,{"$f":"(AA35-0.375)/($W$38+0.25)","v":0.19230769230769232},{"$f":"NORMSINV(AB35)","v":-0.86942377328888587},{"$f":"IF($AK$35<>\"\",IF(X35>=0.05,W35,\"\"),W35)","v":0},null,"line",null,null,null,"CI +/-",{"$f":"IF(D31>0,D31,IF(M29<>\"\",M29*TINV(0.05,AK34),0))","v":0}]
[null,2,{"$f":"I60/2","v":0},{"$f":"C36/2","v":0},{"$f":"IF($AK$35>0,TDIST(ABS(C36)/$AK$36,$AK$34,2),1)","v":1},"",null,{"$f":"V35","v":1},{"$f":"IF(Y35<>\"\",\"\",W35)","v":""},{"$f":"IF(Y35<>\"\",Y35,\"\")","v":0},null,null,null,null,null,null,null,null,null,null,null,2,0,1,0,null,2,{"$f":"(AA36-0.375)/($W$38+0.25)","v":0.5},{"$f":"NORMSINV(AB36)","v":0},{"$f":"IF($AK$35<>\"\",IF(X36>=0.05,W36,\"\"),W36)","v":0},null,null,"Slope",{"$f":"1/AK36","v":{"$error":"#DIV/0!"}},null,"s(effect)",{"$f":"AK35/TINV(0.05,AK34)","v":0}]
[null,12,{"$f":"I61/2","v":0},{"$f":"C37/2","v":0},{"$f":"IF($AK$35>0,TDIST(ABS(C37)/$AK$36,$AK$34,2),1)","v":1},"",null,2,{"$f":"IF(Y36<>\"\",\"\",W36)","v":""},{"$f":"IF(Y36<>\"\",Y36,\"\")","v":0},null,null,null,null,null,null,null,null,null,null,null,12,0,1,0,null,3,{"$f":"(AA37-0.375)/($W$38+0.25)","v":0.80769230769230771},{"$f":"NORMSINV(AB37)","v":0.86942377328888587},{"$f":"IF($AK$35<>\"\",IF(X37>=0.05,W37,\"\"),W37)","v":0},null,null,"X","Y","CI lines","X","Y"]
[null,"Center p",{"$f":"IF(E22<>\"\",L24-C34,\"\")","v":""},{"$f":"C38","v":""},{"$f":"IF(C38<>\"\",IF(AK35>0,TDIST(ABS(C38)/(AG41*SQRT(1/(M24+1)+1/(COUNT(E18:H21)))),AK34,2),1),\"\")","v":""},"",null,{"$f":"V37","v":12},{"$f":"IF(Y37<>\"\",\"\",W37)","v":""},{"$f":"IF(Y37<>\"\",Y37,\"\")","v":0},null,null,null,null,null,null,null,null,null,null,null,"N =",{"$f":"COUNT(W35:W37)","v":3},"d.f.",{"$f":"COUNT(Y35:Y37)","v":3},null,null,null,null,null,null,"Low",{"$f":"AH38/$AH$36","v":{"$error":"#DIV/0!"}},{"$f":"MIN(AC35:AC41)","v":-0.86942377328888587},"SV",{"$f":"-AK35","v":0},{"$f":"MIN(AC35:AC41)","v":-0.86942377328888587}]
[null,null,"Manual limit:",null,"Statistics:",null,null,null,"CI(Noise)",{"$f":"IF(Y38>0,Y40,\"\")","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,"s(Noise)",{"$f":"SQRT(SUM(Y35:Y37^2)/COUNT(Y35:Y37))","v":0},null,null,null,null,null,null,"High",{"$f":"AH39/$AH$36","v":{"$error":"#DIV/0!"}},{"$f":"MAX(AC35:AC41)","v":0.86942377328888587},"NV",{"$f":"-AK35","v":0},{"$f":"MAX(AC35:AC41)","v":0.86942377328888587}]
[null,null,"P<0.05","+","P<0.05","*",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"CI(noise)",{"$f":"Y39*TINV(0.05,Y38)","v":0},null,null,null,null,null,null,null,null,null,"SE",{"$f":"AK35","v":0},{"$f":"MIN(AC35:AC41)","v":-0.86942377328888587}]
[null,null,"P<0.01","++","P<0.01","**",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"s(pool)",{"$f":"AK36*SQRT(COUNT(E18:H21))/2","v":0},null,"NE",{"$f":"AK35","v":0},{"$f":"MAX(AC35:AC41)","v":0.86942377328888587}]
[null,null,"P<0.001","+++","P<0.001","***"]
[null,null,null,null,"If no s(effect) all  P=1"]
[null,"Model 1",null,null,null,null,"Model 2"]
[null,{"$f":"B33","v":"Term"},"X","Coeff","Value",null,{"$f":"B33","v":"Term"},"X","Coeff","Value"]
[null,{"$f":"B34","v":"Mean"},1,{"$f":"D34","v":0},{"$f":"C46*D46","v":0},null,{"$f":"B34","v":"Mean"},1,{"$f":"D34","v":0},{"$f":"H46*I46","v":0},null,"Predict the respons and optimize"]
[null,1,1,{"$f":"D35","v":0},{"$f":"C47*D47","v":0},null,1,null,{"$f":"D35","v":0},{"$f":"H47*I47","v":0},null,"Model:"]
[null,2,1,0,0,null,2,null,0,0,null,"Y = C(Mean) + X1*C1 + X2*C2 + X3*C3 + X1*X2*C12"]
[null,12,{"$f":"C47*C48","v":1},0,{"$f":"IF(C49<>0,C47*C48*D49,0)","v":0},null,12,null,0,{"$f":"IF(H49<>0,H47*H48*I49,0)","v":0},null,"X = -1, 0 or 1 (coded values)"]
[null,"Y",null,null,{"$f":"SUM(E46:E49)","v":0},null,"Y",null,null,{"$f":"SUM(J46:J49)","v":0},null,"C = Coefficients"]
[]
[null,{"$f":"B38","v":"Center p"},null,null,{"$f":"IF(D38<>\"\",D34+D38,\"\")","v":""},null,{"$f":"B38","v":"Center p"},null,null,{"$f":"IF(D38<>\"\",D34+D38,\"\")","v":""},null,"Model 1: Interactions are calculated automatically"]
[]
[null,null,null,null,null,null,null,null,null,null,null,"Model 2: X <> 0 interaction included, X = 0 interaction excluded"]
[]
[]
["Design matrix",null,"2^3",null,"Factor",null,null,null,"Mmult"]
[null,null,"Run","M",1,2,12,null,{"$f":"MMULT($D$66:$G$69,$I$18:$I$21)","v":0}]
[null,null,1,1,-1,-1,{"$f":"E59*F59","v":1},null,0]
[null,null,2,1,1,-1,{"$f":"E60*F60","v":-1},null,0]
[null,null,3,1,-1,1,{"$f":"E61*F61","v":-1},null,0]
[null,null,4,1,1,1,{"$f":"E62*F62","v":1}]
[]
["Matrix",null,null,"Transposed design matrix"]
[null,null,"Run",1,2,3,4]
[null,null,"M",1,1,1,1]
[null,null,1,-1,1,-1,1]
[null,null,2,-1,-1,1,1]
[null,null,12,1,-1,-1,1]

{"sheet":"R4 3 factors III","index":4,"n_rows":69,"n_cols":37,"rows_kept":69,"cut":false,"hidden":false,"merged":[]}
[{"$f":"'R4 Designs'!A1","v":"DOE_R4_All_1.0"},null,null,null,"2^(3-1)","Half fraction design",null,"Screening res III",null,"3 main effects",null,"Main effects confounded with 2-factor interactions",null,null,null,null,null,null,null,null,null,{"$f":"'R4 Designs'!J1","v":"Author: Bo Svensmark, svensmark@plen.ku.dkAnalytical Chemistry, PLEN, 2015 - 2025"}]
[]
[null,"1) Enter parameters in sheet \"R4 Designs\"",null,null,null,null,"(Input in white cells only)",null,null,null,"This design is for 3 main effects ",null,null,null,null,{"$f":"IF('R4 Designs'!M13=3,3,0)","v":0},null,"Confounding:",null,null,null,"This sheet can also be used in manual mode: "]
[null,"2) Enter all result in sheets \"Input\" and fill 1 or 0  in row 3 in \"Input\"",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Enter results of the runs in the table E18:H21 and E22:F29"]
[null,"3) Click on \"Start\" to load the first case.  Check that Next in cell O17 is 1",null,null,null,null,null,null,null,null,"Centerpoints may be omitted.",null,null,null,null,null,null,"Mean = 123",null,null,null,null,"Click on \"Update sheet\" to calculate results"]
[null,"4) See the results here",null,null,null,null,null,null,null,null,"With no replicates, no statistics is calculated",null,null,null,null,null,null,"1 = 23",null,null,null,null,"You may set confidense interval manually, see below"]
[null,"5) Set confidence intervals for effects manually (see notes --->)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2 = 13",null,null,null,null,"Click on \"Save\" to save results to sheet \"Output\""]
[null,"6) Click \"Save\" or \"Save and load next analyte\" to save results and proceed",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"3 = 12"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"All cells not intended for user input are locked. To unlock go to Review and click Unprotect Sheet"]
["Design","Factor",1,2,3,"No of center points:",null,{"$f":"'R4 Designs'!M14","v":0},null,{"$f":"IF(O16=\"No\",\"Results are NOT saved\",\"Results are saved in sheet Output\")","v":"Results are saved in sheet Output"},null,null,null,null,null,null,null,null,null,null,null,"Most cells are shown with 2 significant digits. You may want to cange that for small values"]
[null,"Name",{"$f":"IF($P$3=0,\"\",'R4 Designs'!C20)","v":""},{"$f":"IF($P$3=0,\"\",'R4 Designs'!D20)","v":""},{"$f":"IF($P$3=0,\"\",'R4 Designs'!E20)","v":""}]
[null,"Unit",{"$f":"IF($P$3=0,\"\",'R4 Designs'!C21)","v":""},{"$f":"IF($P$3=0,\"\",'R4 Designs'!D21)","v":""},{"$f":"IF($P$3=0,\"\",'R4 Designs'!E21)","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Set the confidence interval for an effects manually (Manual limit):"]
[null,"Low",{"$f":"IF($P$3=0,\"\",'R4 Designs'!C22)","v":""},{"$f":"IF($P$3=0,\"\",'R4 Designs'!D22)","v":""},{"$f":"IF($P$3=0,\"\",'R4 Designs'!E22)","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"If you do not have any replicate or centre points, you may enter a confidence interval manually (Manual limit)"]
[null,"Center 1",{"$f":"IF($P$3=0,\"\",IF('R4 Designs'!C23=\"\",\"\",'R4 Designs'!C23))","v":""},{"$f":"IF($P$3=0,\"\",IF('R4 Designs'!D23=\"\",\"\",'R4 Designs'!D23))","v":""},{"$f":"IF($P$3=0,\"\",IF('R4 Designs'!E23=\"\",\"\",'R4 Designs'!E23))","v":""},"Analyte:",null,null,null,null,"Rel. Area =",null,null,{"$f":"IF(ABS(SUM(C35:C37)-SUM(W35:W37))>0.000000000001,\"Please update sheet\",\"\")","v":""},null,null,null,null,null,null,null,"All effects of absolute magnitude higher than the manual limit will be marked as signficant (+, ++, +++ instead of *, **, ***)"]
[null,"Center 2",{"$f":"IF($P$3=0,\"\",IF('R4 Designs'!C24=\"\",\"\",'R4 Designs'!C24))","v":""},{"$f":"IF($P$3=0,\"\",IF('R4 Designs'!D24=\"\",\"\",'R4 Designs'!D24))","v":""},{"$f":"IF($P$3=0,\"\",IF('R4 Designs'!E24=\"\",\"\",'R4 Designs'!E24))","v":""},"Comm:"]
[null,"High",{"$f":"IF($P$3=0,\"\",'R4 Designs'!C25)","v":""},{"$f":"IF($P$3=0,\"\",'R4 Designs'!D25)","v":""},{"$f":"IF($P$3=0,\"\",'R4 Designs'!E25)","v":""},"Results","Replicates",null,null,null,null,null,null,"Saved?","Yes",null,null,null,null,null,null,"Even if you have an experimental determined statistical CI, you may want to play with the CI because:"]
[null,"Run",1,2,3,1,2,3,4,"Mean","Stdev","d.f.",null,"Index out",1,null,null,null,null,null,null,null,"For your purpose, even statistically insignificant effects may be important"]
["Corner",1,{"$f":"C13","v":""},{"$f":"D13","v":""},{"$f":"E16","v":""},null,null,null,null,{"$f":"IF(F18<>\"\",AVERAGE(F18:I18),0)","v":0},{"$f":"IF(L18>0,STDEV(F18:I18),0)","v":0},{"$f":"IF(F18<>\"\",COUNT(F18:I18)-1,0)","v":0},null,null,null,null,null,null,null,null,null,null,"You suspect that the experimentally determined uncertainty is wrong"]
["points",2,{"$f":"C16","v":""},{"$f":"D13","v":""},{"$f":"E13","v":""},null,null,null,null,{"$f":"IF(F19<>\"\",AVERAGE(F19:I19),0)","v":0},{"$f":"IF(L19>0,STDEV(F19:I19),0)","v":0},{"$f":"IF(F19<>\"\",COUNT(F19:I19)-1,0)","v":0},null,"Generator:"]
[null,3,{"$f":"C13","v":""},{"$f":"D16","v":""},{"$f":"E13","v":""},null,null,null,null,{"$f":"IF(F20<>\"\",AVERAGE(F20:I20),0)","v":0},{"$f":"IF(L20>0,STDEV(F20:I20),0)","v":0},{"$f":"IF(F20<>\"\",COUNT(F20:I20)-1,0)","v":0},null,"3 = 12"]
[null,4,{"$f":"C16","v":""},{"$f":"D16","v":""},{"$f":"E16","v":""},null,null,null,null,{"$f":"IF(F21<>\"\",AVERAGE(F21:I21),0)","v":0},{"$f":"IF(L21>0,STDEV(F21:I21),0)","v":0},{"$f":"IF(F21<>\"\",COUNT(F21:I21)-1,0)","v":0}]
["Center 1",5,{"$f":"IF(C$14=\"\",\"\",IF($B22<$H$10+5,C$14,\"\"))","v":""},{"$f":"IF(D$14=\"\",\"\",IF($B22<$H$10+5,D$14,\"\"))","v":""},"",null,null,null,null,{"$f":"IF(F22<>\"\",AVERAGE(F22:G25),0)","v":0},{"$f":"IF(L22>0,STDEV(F22:G25),0)","v":0},{"$f":"IF(F22<>\"\",COUNT(F22:G25)-1,0)","v":0},"All center points"]
["points",6,{"$f":"IF(C$14=\"\",\"\",IF($B23<$H$10+5,C$14,\"\"))","v":""},"","",null,null,null,null,null,null,null,"Mean","d.f"]
[null,7,"","","",null,null,null,null,null,null,null,{"$f":"IF(F22<>\"\",AVERAGE(F22:G29),\"\")","v":""},{"$f":"L22+L26","v":0}]
[null,8,"","",""]
["Center 2",9,{"$f":"IF(C$15=\"\",\"\",IF($B26<$H$10+9,C$15,\"\"))","v":""},{"$f":"IF(D$15=\"\",\"\",IF($B26<$H$10+9,D$15,\"\"))","v":""},"",null,null,null,null,{"$f":"IF(F26<>\"\",AVERAGE(F26:G29),0)","v":0},{"$f":"IF(L26>0,STDEV(F26:G29),0)","v":0},{"$f":"IF(F26<>\"\",COUNT(F26:G29)-1,0)","v":0},{"$f":"IF(N27>0,\"Statistics\",\"No statistics\")","v":"No statistics"},null,null,"Blue points:  not significant effects"]
["points",10,{"$f":"IF(C$15=\"\",\"\",IF($B27<$H$10+9,C$15,\"\"))","v":""},"","",null,null,null,null,null,null,null,"d.f.",{"$f":"SUM(L18:L26)","v":0},null,"Red points:   significant effects"]
[null,11,"","","",null,null,null,null,null,null,null,"s(pool)",{"$f":"IF(N27>0,SQRT(SUM(K18:K26^2*L18:L26)/N27),\"\")","v":""},null,"Green lines: If <>0: 95 % confidence interval"]
[null,12,"","","",null,null,null,null,null,null,null,"s(effect)",{"$f":"IF(N27>0,2*N28/SQRT(COUNT(F18:I21)),\"\")","v":""},null,"Blue line:    True noise factors should be on  this line"]
[null,null,null,null,null,null,null,"Extra runs"]
[null,"Enter manual Limit:",null,1,null,"95% Confidence interval for an effect, CI:",null,null,null,{"$f":"AK35","v":1},{"$f":"IF(D31<>\"\",\"Set manually\",\"\")","v":"Set manually"}]
[null,null,null,null,null,null,null,null,null,{"$f":"IF(N29<>\"\",N29*TINV(0.05,N27),\"na\")","v":"na"}]
["Effects","Term","Effect","Coeff","P","Sign?"]
[null,"Mean",{"$f":"I58/4","v":0},{"$f":"C34","v":0},{"$f":"IF(AK35>0,TDIST(2*ABS(C34)/$AK$36,$AK$34,2),1)","v":1},{"$f":"IF(E34<0.001,\"***\",IF(E34<0.01,\"**\",IF(E34<0.05,\"*\",\"\")))","v":""},null,"Effectes sorted from low to high",null,null,null,null,null,null,null,null,null,null,null,null,null,"Terms","Effect","P","Noise",null,"Index","Fractile","Probit","IF",null,"Blue","Model",null,"CI(95%)","d.f.",{"$f":"IF(N29<>\"\",N27,999)","v":999}]
[null,1,{"$f":"I59/2","v":0},{"$f":"C35/2","v":0},{"$f":"IF($AK$35>0,TDIST(ABS(C35)/$AK$36,$AK$34,2),1)","v":1},{"$f":"IF(E35<0.001,\"***\",IF(E35<0.01,\"**\",IF(E35<0.05,\"*\",\"\")))","v":""},null,"Term","Effect","Noise",null,null,null,null,null,null,null,null,null,null,null,1,0,1,0,null,1,{"$f":"(AA35-0.375)/($W$38+0.25)","v":0.19230769230769232},{"$f":"NORMSINV(AB35)","v":-0.86942377328888587},{"$f":"IF($AK$35<>\"\",IF(X35>=0.05,W35,\"\"),W35)","v":0},null,"line",null,null,null,"CI +/-",{"$f":"IF(D31>0,D31,IF(N29<>\"\",N29*TINV(0.05,AK34),0))","v":1}]
[null,2,{"$f":"I60/2","v":0},{"$f":"C36/2","v":0},{"$f":"IF($AK$35>0,TDIST(ABS(C36)/$AK$36,$AK$34,2),1)","v":1},{"$f":"IF(E36<0.001,\"***\",IF(E36<0.01,\"**\",IF(E36<0.05,\"*\",\"\")))","v":""},null,{"$f":"V35","v":1},{"$f":"IF(Y35<>\"\",\"\",W35)","v":""},{"$f":"IF(Y35<>\"\",Y35,\"\")","v":0},null,null,null,null,null,null,null,null,null,null,null,2,0,1,0,null,2,{"$f":"(AA36-0.375)/($W$38+0.25)","v":0.5},{"$f":"NORMSINV(AB36)","v":0},{"$f":"IF($AK$35<>\"\",IF(X36>=0.05,W36,\"\"),W36)","v":0},null,null,"Slope",{"$f":"1/AK36","v":1.9623414611334626},null,"s(effect)",{"$f":"AK35/TINV(0.05,AK34)","v":0.50959530734390779}]
[null,3,{"$f":"I61/2","v":0},{"$f":"C37/2","v":0},{"$f":"IF($AK$35>0,TDIST(ABS(C37)/$AK$36,$AK$34,2),1)","v":1},{"$f":"IF(E37<0.001,\"***\",IF(E37<0.01,\"**\",IF(E37<0.05,\"*\",\"\")))","v":""},null,2,{"$f":"IF(Y36<>\"\",\"\",W36)","v":""},{"$f":"IF(Y36<>\"\",Y36,\"\")","v":0},null,null,null,null,null,null,null,null,null,null,null,3,0,1,0,null,3,{"$f":"(AA37-0.375)/($W$38+0.25)","v":0.80769230769230771},{"$f":"NORMSINV(AB37)","v":0.86942377328888587},{"$f":"IF($AK$35<>\"\",IF(X37>=0.05,W37,\"\"),W37)","v":0},null,null,"X","Y","CI lines","X","Y"]
[null,"Center p",{"$f":"IF(F22<>\"\",M24-C34,\"\")","v":""},{"$f":"C38","v":""},{"$f":"IF(C38<>\"\",IF(AK35>0,TDIST(ABS(C38)/(AG41*SQRT(1/(N24+1)+1/(COUNT(F18:I21)))),AK34,2),1),\"\")","v":""},{"$f":"IF(E38<0.001,\"***\",IF(E38<0.01,\"**\",IF(E38<0.05,\"*\",\"\")))","v":""},null,{"$f":"V37","v":3},{"$f":"IF(Y37<>\"\",\"\",W37)","v":""},{"$f":"IF(Y37<>\"\",Y37,\"\")","v":0},null,null,null,null,null,null,null,null,null,null,null,"N =",{"$f":"COUNT(W35:W37)","v":3},"d.f.",{"$f":"COUNT(Y35:Y37)","v":3},null,null,null,null,null,null,"Low",{"$f":"AH38/$AH$36","v":-0.44305427496124983},{"$f":"MIN(AC35:AC41)","v":-0.86942377328888587},"SV",{"$f":"-AK35","v":-1},{"$f":"MIN(AC35:AC41)","v":-0.86942377328888587}]
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[null,null,"P<0.01","++","P<0.01","**",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"s(pool)",{"$f":"AK36*SQRT(COUNT(F18:I21))/2","v":0},null,"NE",{"$f":"AK35","v":1},{"$f":"MAX(AC35:AC41)","v":0.86942377328888587}]
[null,null,"P<0.001","+++","P<0.001","***"]
[null,null,null,null,"If no s(effect) all  P=1"]
[null,"Model 1"]
[null,{"$f":"B33","v":"Term"},"X","Coeff","Value",null,"Predict the respons and optimize"]
[null,{"$f":"B34","v":"Mean"},1,{"$f":"D34","v":0},{"$f":"C46*D46","v":0},null,"Model:"]
[null,1,1,{"$f":"D35","v":0},{"$f":"C47*D47","v":0},null,"Y = C(Mean) + X1*C1 + X2*C2 + X3*C3"]
[null,2,1,0,0,null,"X = -1, 0 or 1 (coded values)"]
[null,3,1,0,0,null,"C = Coefficients"]
[null,"Y",null,null,{"$f":"SUM(E46:E49)","v":0}]
[]
[null,{"$f":"B38","v":"Center p"},null,null,{"$f":"IF(D38<>\"\",D34+D38,\"\")","v":""}]
[]
[]
[]
[]
["Design matrix",null,"2^3",null,"Factor",null,null,null,"Mmult"]
[null,null,"Run","M",1,2,3,null,{"$f":"MMULT($D$66:$G$69,$J$18:$J$21)","v":0}]
[null,null,1,1,-1,-1,{"$f":"E59*F59","v":1},null,0]
[null,null,2,1,1,-1,{"$f":"E60*F60","v":-1},null,0]
[null,null,3,1,-1,1,{"$f":"E61*F61","v":-1},null,0]
[null,null,4,1,1,1,{"$f":"E62*F62","v":1}]
[]
["Matrix",null,null,"Transposed design matrix"]
[null,null,"Run",1,2,3,4]
[null,null,"M",1,1,1,1]
[null,null,1,-1,1,-1,1]
[null,null,2,-1,-1,1,1]
[null,null,3,1,-1,-1,1]

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[]
[]
[]
[]
[null,null,null,null,null,"No"]
[null,null,null,null,null,"Analyte"]
[null,null,null,null,null,"Relative area"]
[null,null,null,null,null,"Comments"]
["Factor","Name","Unit","Low","C1","C2","High"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
["Responsen"]
["Run #",null,null,null,null,"Corner",1]
[null,null,null,null,null,null,2]
[null,null,null,null,null,null,3]
[null,null,null,null,null,null,4]
[null,null,null,null,null,"Center 1","5-8"]
[null,null,null,null,null,"Center 2","9-12"]
[null,null,null,null,null,"Extra runs",13]
[null,null,null,null,null,null,14]
[null,null,null,null,null,null,15]
[null,null,null,null,null,null,16]
[null,null,null,null,null,null,17]
[null,null,null,null,null,null,18]
[null,null,null,null,null,null,19]
[null,null,null,null,null,null,20]