{"text_format":"1","workbook":"xlsx","n_sheets":2,"sheets":["Example Table 1","CSU"],"not_rendered":{"charts":8,"images":0,"macros":1,"external_links":0,"defined_names":0,"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":"Example Table 1","index":0,"n_rows":163,"n_cols":288,"rows_kept":163,"cut":false,"hidden":false,"merged":[[59,4,59,5],[59,7,59,8],[70,4,70,5],[70,7,70,8],[81,4,81,5],[81,7,81,8],[2,2,2,3],[26,4,26,5],[26,7,26,8],[37,4,37,5],[37,7,37,8],[48,4,48,5],[48,7,48,8]]}
["CSU_3.0.xlsm",null,null,null,null,"Data input from cell B100",null,null,"Instructions in cell V3",null,null,null,null,null,null,"Author: Bo Svensmark, svensmark@plen.ku.dk, Analytical Chemistry, ECP, PLEN, University of Copenhagen, 2022"]
[]
[null,"Run at:",{"$f":"IF(L27<>\"\",L27,\"Please update CSU\")","v":"2022-05-29T12:21:25"},null,"Runtime:",{"$f":"IF(M27<>\"\",M27,\"Not run\")","v":5},"s",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Manual:","NOTE: The input data must be average concentrations unaffected by FSE"]
["Title:","Example of calculation of CSU for Table 1 in: Extentions to the Theory of Sampling 2, Proceedings of the 10th World cOnference on Sampling and Blending 2022"]
["Comm:","For a riffle splitter with 18 chutes, there will be Ni = 9 increments in each sample. ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Do only enter values in the WHITE cells"]
[]
[null,"To make your own CSU estimates, start with the next Sheet CSU",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"1) Enter the input data f(x) in Table 1 starting i cell B100"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Indices 1,2,3… is only for infrmation"]
[null,"Table 2a",null,null,null,"Table 2b",null,null,"Analyte:",1,2,3,4,5,6,"Macro input",null,null,"Intermediate results",null,null,null,null,"Organization of dats, see layout below"]
[null,"Sampling ratio",null,2,null,"Class (k)","Name","m(k)","Name:","sand","sesame","barley","steel","Analyte 5"]
[null,"kmx, no of classes",null,4,null,1,"Sand",1E-4,"Conc, g/g:",1,0,0,0,0.7,null,"Runs",{"$f":"COUNT(D16:D21)","v":1},null,"M(L)",{"$f":"IF(D23<>\"\",D23,\"\")","v":1000},null,null,"2) Enter parameters in Table 2"]
[null,"hmx, horizontal length",null,144,null,2,"Sesame",3.0000000000000001E-3,null,0,1,0,0,0.3,null,null,null,null,"M(S)",{"$f":"IF(D24<>\"\",D24,\"\")","v":125},null,null,null,"If ni is not  a divisor in hmx, input will be truncated and a warning is given,"]
[null,"vmx, vertical depth",null,1,null,3,"Barley",4.4999999999999998E-2,null,0,0,1,0,0.05,null,null,null,null,"M(L)/MS()",{"$f":"IF(T12=\"\",\"\",T11/T12)","v":8},null,null,null,"hmx may be <  than the length of input data "]
[null,"Run analyte 1 to ?",null,4,{"$f":"IF(OR(D14>6, D14<1),\"Error\",\"\")","v":""},4,"Steel",0.88100000000000001,null,0,0,0,1,0,null,null,null,null,"Rounds",{"$f":"LN(T13)/LN(D10)","v":3},null,null,null,"Unused entries for ni in Table 1 must be blank"]
[null,"MC runs:",null,4000,null,5,null,null,null,null,null,null,null,null,null,null,null,null,"(1/MS-1/ML)",{"$f":"(1/T12-1/T11)","v":7.0000000000000001E-3},null,null,null,"For point selection enter the number of increments with a minus sign (-ni)"]
[null,"ni, no of increments",null,9,{"$f":"IF(D16=\"\",\"\",IF(D16*D$10>D$12,\"Too big!\",IF(MOD(D$12,D16*$D$10)<>0,\"Warning\",\"\")))","v":""},6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"For point selection the number of Rounds must be 1. Adjust ratio or ML/MS"]
[null,null,null,null,"",7]
[null,null,null,null,"",8,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"3) Press the button Update CSU"]
[null,null,null,null,"",9,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"The progress can be seen in the lower left corner of the screen"]
[null,null,null,null,"",10,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"If it takes too long time press ESC and then End"]
[null,null,null,null,""]
[null,"Table 2c",null,null,null,{"$f":"IF(MOD(T13,D10)=0,\"\",\"Error in Sampling ratio  vs  M(L) or M(S)\")","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"4) Analyse the results"]
[null,"M(Lot), g",null,1000,null,null,null,null,null,null,null,"s2(CSU) = s2(FSU) + s2(SU) ",null,null,"In this spreadsheet s(SU) = s(GSE)",null,null,null,null,null,null,null,null,"You can change the masses M(L) end M(S) and CSU will change accordingly"]
[null,"M(Sample), g",null,125]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"5) Save the workbook under a new name: Save As…"]
[null,"Table 3",null,null,null,{"$f":"IF(O27=\"\",\"\",IF(SUM(D10:R21)=O27,\"\",\"Input parameter has changed - please Update CSU\"))","v":""},null,null,null,null,null,"Macro output"]
[null,"Analyte 1",{"$f":"J10","v":"sand"},"aL:",{"$f":"IF(S29=\"\",\"\",S29)","v":4.9927231666233578E-2},null,"RSD(aL) %:",{"$f":"IF(T29=\"\",\"\",T29)","v":30.755482143576746},null,null,null,"2022-05-29T12:21:25",5,144,4225.9790999999996,0,null,null,null,null,null,null,"6) To continue: Change input and try again - or create a new sheet"]
[null,null,null,"s(CSU) %",null,null,"s(SU) %"]
[null,"N","Ni","Syst %","Strat %","Rand %","Syst %","Strat %","Rand %","s(FSU) %","s(FSE) %",null,null,null,null,null,null,0.20966118227389482,4.9927231666233578E-2,30.755482143576746,null,null,"7) To create a new sheet press the New Sheet button"]
[null,{"$f":"IF(L30=\"\",\"\",L30)","v":144},1,{"$f":"IF(G30<>\"\",SQRT($J30^2+G30^2),\"\")","v":19.844655122173968},{"$f":"IF(H30<>\"\",SQRT($J30^2+H30^2),\"\")","v":19.844655122173968},19.844655122173968,{"$f":"IF(O30<>\"\",SQRT($T$14)*O30,\"\")","v":19.471743482825627},{"$f":"IF(P30<>\"\",SQRT($T$14)*P30,\"\")","v":19.471743482825627},19.471743482825627,{"$f":"IF(O30=\"\",\"\",100*SQRT($T$15*R30))","v":3.8290393908999159},{"$f":"IF(R29=\"\",\"\",100*SQRT($T$15*R29))","v":3.8309636854416453},144,72,1,11.242016341400717,11.242016341400717,11.242016341400717,0.20945060938661708,4.9927231666233578E-2,30.755482143576746,null,null,null,"The new sheet will contain a copy of data in Table 1 & 2"]
[null,{"$f":"IF(L31=\"\",\"\",L31)","v":144},9,{"$f":"IF(G31<>\"\",SQRT($J31^2+G31^2),\"\")","v":9.0981910333844169},8.8021264624464699,9.8432342722984281,{"$f":"IF(O31<>\"\",SQRT($T$14)*O31,\"\")","v":8.2532137633102298},7.9256474564439969,9.0679500595386582,3.8290393908999159,null,144,8,9,4.7649951879266856,4.5758746924800144,5.2353834078727273,0.20945060938661708,4.9927231666233578E-2,30.755482143576746]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,null,"8) Troubleshooting"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,null,null,"If you get a runtime error in the macros:",null,null,null,null,null,null,null,"Error in concentrations",null,null,{"$f":"P27","v":0},null,null,null,"Max DFT:",{"$f":"MAX(AH57:FD57)","v":0.8846905387653855},null,"Analyte #",null,"DFT: Discrete Fourier Transform of horizontal means"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,null,null,"Press Debug in the pop up window",null,null,null,null,null,null,null,"(average error in one box)",null,null,1,null,null,null,null,null,null,1,null,{"$f":"IF(AI34=AP34,\"\",\"Please update DFT\")","v":""}]
[null,"",null,"","","","","","","",{"$f":"IF(P35=\"\",\"\",100*SQRT($T$14*S35))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,"Look at the code and try to understand the problem",null,null,null,null,null,null,null,"Table 4"]
[null,"",null,"","","","","","","",{"$f":"IF(P36=\"\",\"\",100*SQRT($T$14*S36))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,"Press the reset button (blue square in the tools) and try to fix the",null,null,null,null,null,null,null,"Index",1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"error or go to the spreadsheet and fix the error",null,null,null,null,null,null,null,"Depth",-1,-2,-3,-4,-5,-6,-7,-8,-9,-10,-11,-12,-13,-14,-15,-16,-17,-18,-19,-20,-21,-22,-23,-24,-25,-26,-27,-28,-29,-30,-31,-32,-33,-34,-35,-36,-37,-38,-39,-40,-41,-42,-43,-44,-45,-46,-47,-48,-49,-50,-51,-52,-53,-54,-55,-56,-57,-58,-59,-60,-61,-62,-63,-64,-65,-66,-67,-68,-69,-70,-71,-72,-73,-74,-75,-76,-77,-78,-79,-80,-81,-82,-83,-84,-85,-86,-87,-88,-89,-90,-91,-92,-93,-94,-95,-96,-97,-98,-99,-100,-101,-102,-103,-104,-105,-106,-107,-108,-109,-110,-111,-112,-113,-114,-115,-116,-117,-118,-119,-120,-121,-122,-123,-124,-125,-126,-127,-128,-129,-130,-131,-132,-133,-134,-135,-136,-137,-138,-139,-140,-141,-142,-143,-144,-145,-146,-147,-148,-149,-150,-151,-152,-153,-154,-155,-156,-157,-158,-159,-160,-161,-162,-163,-164,-165,-166,-167,-168,-169,-170,-171,-172,-173,-174,-175,-176,-177,-178,-179,-180,-181,-182,-183,-184,-185,-186,-187,-188,-189,-190,-191,-192,-193,-194,-195,-196,-197,-198,-199,-200,-201,-202,-203,-204,-205,-206,-207,-208,-209,-210,-211,-212,-213,-214,-215,-216,-217,-218,-219,-220,-221,-222,-223,-224,-225,-226,-227,-228,-229,-230,-231,-232,-233,-234,-235,-236,-237,-238,-239,-240,-241,-242,-243,-244,-245,-246,-247,-248,-249,-250,-251,-252,-253,-254,-255,-256]
[null,"Analyte 2","sesame","aL:",{"$f":"IF(S40=\"\",\"\",S40)","v":4.9999999999999878E-2},null,"RSD(aL) %:",{"$f":"IF(T40=\"\",\"\",T40)","v":7.5545676606694284E-6},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Horz 1",4.2777798153885715E-2,5.5559392529245716E-2,5.8822893834788573E-2,6.0632937844319994E-2,5.8616705121234271E-2,6.2387576226137144E-2,6.5342871408765713E-2,6.9640190605874286E-2,7.6199632725931429E-2,7.9621249185188592E-2,7.8967410434765711E-2,7.9395090497691445E-2,7.7678175431188573E-2,6.7829496823520005E-2,5.487599545587428E-2,4.9333216321977146E-2,5.4892611838514294E-2,5.4161913220445709E-2,4.8084506505302861E-2,5.1957304716331427E-2,5.5575354955931425E-2,5.3311215206114287E-2,5.5414698798045718E-2,6.2912728781531424E-2,6.1881003913542856E-2,5.3611194099885705E-2,5.2804250117794292E-2,5.6160614589771424E-2,5.8502395206182861E-2,5.4217106109839999E-2,4.3246794573074281E-2,3.4713960572114289E-2,3.012169444090285E-2,2.9514917898651426E-2,3.0671013992342851E-2,2.4940673616445721E-2,2.2708711557051425E-2,2.6996085497702861E-2,2.5750575806582857E-2,2.2204470553005715E-2,1.9664679637440001E-2,1.8967489192605713E-2,2.6676928940937143E-2,3.5693243760697144E-2,3.8753015494914285E-2,4.4824580681714285E-2,4.6959170178617143E-2,4.9267293718937129E-2,5.4575509636754289E-2,4.9535375457577142E-2,3.7625363335188566E-2,2.8658792080834286E-2,3.1969273379394286E-2,4.0399312227131431E-2,3.6215787753885717E-2,2.9545669494468574E-2,2.4219062875645712E-2,1.8814258837519998E-2,1.9401348689474289E-2,2.6876351289348576E-2,3.7491378960651425E-2,4.2130832646228578E-2,4.1965825448742854E-2,3.7132165324857143E-2,3.0763180676628567E-2,3.2775604824765707E-2,3.9869434992159988E-2,3.8110333929382859E-2,3.5181447558422854E-2,3.9211437252194288E-2,4.3327758644400007E-2,4.605800739654857E-2,5.3439368001097137E-2,5.9370431792400008E-2,5.8137662347474292E-2,5.5556378803519997E-2,5.2338814807394281E-2,5.5778454978674286E-2,6.715403786073143E-2,7.5429424144102863E-2,7.1693385848788579E-2,6.5618064481222857E-2,6.2016313737051416E-2,5.538844115740571E-2,5.0779367164868569E-2,4.5525740768217145E-2,4.0506817046137136E-2,3.7732345325097137E-2,3.6379485193759997E-2,4.005153138733715E-2,4.2372540275645715E-2,4.782936381779429E-2,5.5393685324422862E-2,5.8595461820091434E-2,5.9693175616377145E-2,5.944579089354287E-2,5.3855724456525714E-2,4.7733324526868584E-2,4.5225808459108577E-2,4.6734773900720006E-2,3.8930810448994289E-2,2.9127024158571425E-2,2.7642130444034282E-2,2.822662558752E-2,3.1783946076171424E-2,4.0604686721394292E-2,4.7320764765325721E-2,4.1927338917405708E-2,3.6464095398559999E-2,3.9472074152708571E-2,4.7006048103920006E-2,5.3495097469440006E-2,5.0142938670937144E-2,4.5633694057234289E-2,5.1120852792400001E-2,5.4700392443039994E-2,5.571089466352E-2,6.2990891079382869E-2,7.4564864171805703E-2,8.3080292984742871E-2,8.0813287448228577E-2,6.9641089157280012E-2,6.6319683469017149E-2,7.4876687663394281E-2,8.1027263022845714E-2,7.6052577401188565E-2,6.6966816700159998E-2,6.3712917308788572E-2,5.8747065344514279E-2,5.133628059696E-2,5.1646491040057148E-2,5.6662482352377141E-2,5.602726072072E-2,4.9829880523028579E-2,4.9614427856308568E-2,5.038450891842286E-2,4.9643233500708574E-2,5.7173372805119999E-2,6.2690589692034296E-2,6.1594152753908567E-2,6.1317476935657145E-2,6.8361912287759993E-2,7.9449663069325716E-2,6.1214718840777144E-2]
[null,null,null,"s(CSU) %",null,null,"s(SU) %",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Horz 2",0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05]
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[null,{"$f":"IF(L42=\"\",\"\",L42)","v":144},9,{"$f":"IF(G42<>\"\",SQRT($J42^2+G42^2),\"\")","v":4.2813641179970929},4.2813641179970929,4.2813641179970929,{"$f":"IF(O42<>\"\",SQRT($T$14)*O42,\"\")","v":1.9860273225978229E-13},1.9232031017981958E-13,1.9232031017981958E-13,4.2813641179970929,null,144,8,9,1.1466334093198049E-13,1.1103618285295116E-13,1.1103618285295116E-13,0.26185826729818606,4.9999999999999878E-2,7.5545676606694284E-6,null,null,"hmx:","Horizontal length (1-256)",null,null,null,null,null,null,null,"Horz 5"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,null,"vmx:","Vertical depth (1-16)",null,null,null,null,null,null,null,"Horz 6"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,null,"Run cases:","Number of cases to run now",null,null,null,null,null,null,null,"Vert 1",4.9927231666233578E-2]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,null,"ni:","No of increments in a sample (>1).  Grab sampling (ni = 1) is automatically included",null,null,null,null,null,null,null,"Vert 2",4.9999999999999878E-2]
[null,"",null,"","","","","","","",{"$f":"IF(P46=\"\",\"\",100*SQRT($T$14*S46))","v":""},null,null,null,null,null,null,null,null,null,null,null,"m(k):","Mass of one fragment of class k",null,null,null,null,null,null,null,"Vert 3",0.7000727683337663]
[null,"",null,"","","","","","","",{"$f":"IF(P47=\"\",\"\",100*SQRT($T$14*S47))","v":""},null,null,null,null,null,null,null,null,null,null,null,"Name:","Name of analyte in this case",null,null,null,null,null,null,null,"Vert 4",0.19999999999999951]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ak(i):","Analyte concentration in class k in case , g/g",null,null,null,null,null,null,null,"Vert 5"]
[null,"Analyte 3","barley","aL:",{"$f":"IF(S51=\"\",\"\",S51)","v":0.7000727683337663},null,"RSD(aL) %:",{"$f":"IF(T51=\"\",\"\",T51)","v":2.1933949604188165},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Vert 6"]
[null,null,null,"s(CSU) %",null,null,"s(SU) %",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Table 3:","s(FSE) %:","s in % due to FSE, i.e. as if all boxes were mixed completely",null,null,null,null,null,null,null,"Vario 1",1.6719349785665053E-5,4.5404909054154815E-5,7.027683706535555E-5,9.0806507452722703E-5,1.1248645263779752E-4,1.3462120106670449E-4,1.5630906631721245E-4,1.7725930704731469E-4,1.9293417445399256E-4,1.9969127136828935E-4,2.0072183420748828E-4,1.9853225203858387E-4,1.953998347496821E-4,1.9611684147452423E-4,2.0092455680919148E-4,2.0471334768902344E-4,2.0474283382463767E-4,2.0603600980549346E-4,2.11920727556552E-4,2.2112586828408994E-4,2.3283392844568622E-4,2.4486917200866674E-4,2.5282308115471706E-4,2.5289646549660362E-4,2.505090207310995E-4,2.5497786351639915E-4,2.6710526103822826E-4,2.8028097550648217E-4,2.8769906492444411E-4,2.878815339966991E-4,2.8336314775371613E-4,2.799454091620535E-4,2.8200421220410957E-4,2.8644831961483332E-4,2.8512217875570567E-4,2.7930246735958608E-4,2.7800586924276707E-4,2.7930464475227476E-4,2.7690893128845778E-4,2.7110539231517227E-4,2.6233744908402075E-4,2.490643839187482E-4,2.3467176851722546E-4,2.2307062668802758E-4,2.1614975841609141E-4,2.1765603696314938E-4,2.2729508548780146E-4,2.3701764521223126E-4,2.3967478505888462E-4,2.4129434878046038E-4,2.4822277410123795E-4,2.5902463040097681E-4,2.7272345421185687E-4,2.8562854446217457E-4,2.9108825790251234E-4,2.8601041662135765E-4,2.7464660486295548E-4,2.6482465986655461E-4,2.6195353042590794E-4,2.616690702164356E-4,2.5717315832498E-4,2.4846599985821045E-4,2.4095416075524243E-4,2.3481433190212925E-4,2.2673002214714251E-4,2.2049608416306618E-4,2.1552298011154577E-4,2.0882956545438015E-4,2.0184585018908507E-4,1.9951050616733341E-4,2.0579563528736153E-4,2.2532494855661907E-4]
[null,"N","Ni","Syst %","Strat %","Rand %","Syst %","Strat %","Rand %","s(FSU) %","s(FSE) %",null,null,null,null,null,null,0.18213729947237506,0.7000727683337663,2.1933949604188165,null,null,"FSU %","s in % due to FSU as function of actual distribution and sampling ",null,null,null,null,null,null,null,"Vario 2",0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[null,{"$f":"IF(L52=\"\",\"\",L52)","v":144},1,{"$f":"IF(G52<>\"\",SQRT($J52^2+G52^2),\"\")","v":3.8313270983845142},{"$f":"IF(H52<>\"\",SQRT($J52^2+H52^2),\"\")","v":3.8313270983845142},3.8313270983845142,{"$f":"IF(O52<>\"\",SQRT($T$14)*O52,\"\")","v":1.3886702808428846},{"$f":"IF(P52<>\"\",SQRT($T$14)*P52,\"\")","v":1.3886702808428846},1.3886702808428846,{"$f":"IF(O52=\"\",\"\",100*SQRT($T$15*R52))","v":3.5708069376429812},{"$f":"IF(R51=\"\",\"\",100*SQRT($T$15*R51))","v":3.5706597377888381},144,72,1,0.80174916046027267,0.80174916046027267,0.80174916046027267,0.18215231694170353,0.7000727683337663,2.1933949604188165,null,null,"SU %","s in % due to GSE as function of actual distribution and sampling ",null,null,null,null,null,null,null,"Vario 3",1.6719349785665056E-5,4.5404909054154836E-5,7.0276837065355523E-5,9.0806507452722757E-5,1.1248645263779757E-4,1.3462120106670471E-4,1.5630906631721256E-4,1.7725930704731485E-4,1.9293417445399272E-4,1.9969127136828938E-4,2.0072183420748836E-4,1.9853225203858395E-4,1.9539983474968213E-4,1.9611684147452407E-4,2.0092455680919156E-4,2.0471334768902346E-4,2.047428338246377E-4,2.0603600980549359E-4,2.1192072755655191E-4,2.2112586828409005E-4,2.3283392844568624E-4,2.4486917200866674E-4,2.5282308115471712E-4,2.5289646549660368E-4,2.5050902073109972E-4,2.5497786351639943E-4,2.6710526103822837E-4,2.8028097550648228E-4,2.8769906492444428E-4,2.8788153399669943E-4,2.8336314775371613E-4,2.799454091620535E-4,2.8200421220410946E-4,2.8644831961483353E-4,2.8512217875570572E-4,2.7930246735958608E-4,2.7800586924276707E-4,2.7930464475227497E-4,2.7690893128845789E-4,2.7110539231517237E-4,2.6233744908402102E-4,2.4906438391874842E-4,2.3467176851722562E-4,2.2307062668802769E-4,2.1614975841609146E-4,2.1765603696314946E-4,2.2729508548780162E-4,2.3701764521223123E-4,2.396747850588846E-4,2.4129434878046051E-4,2.4822277410123795E-4,2.5902463040097687E-4,2.7272345421185714E-4,2.8562854446217468E-4,2.9108825790251228E-4,2.860104166213577E-4,2.7464660486295548E-4,2.6482465986655461E-4,2.6195353042590789E-4,2.616690702164356E-4,2.5717315832498011E-4,2.4846599985821062E-4,2.4095416075524238E-4,2.3481433190212912E-4,2.2673002214714243E-4,2.2049608416306618E-4,2.1552298011154577E-4,2.0882956545438015E-4,2.0184585018908512E-4,1.9951050616733344E-4,2.0579563528736166E-4,2.2532494855661905E-4]
[null,{"$f":"IF(L53=\"\",\"\",L53)","v":144},9,{"$f":"IF(G53<>\"\",SQRT($J53^2+G53^2),\"\")","v":3.6189926193705957},3.6131875047084625,3.6275592838354105,{"$f":"IF(O53<>\"\",SQRT($T$14)*O53,\"\")","v":0.58859612056112176},0.55178053450816777,0.63915895661504529,3.5708069376429812,null,144,8,9,0.33982612864993311,0.3185706401318863,0.36901859565665673,0.18215231694170353,0.7000727683337663,2.1933949604188165,null,null,"CSU %","Total sampling uncertainty s in % as function of actual distribution and sampling ",null,null,null,null,null,null,null,"Vario 4",0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,null,"Syst %:","Relative standard deviation in % for systematic sampling",null,null,null,null,null,null,null,"Vario 5"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,null,"Strat%:","Relative standard deviation in % for stratified random sampling",null,null,null,null,null,null,null,"Vario 6"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,null,"Rand%:","Relative standard deviation in % for random sampling",null,null,null,null,null,null,null,"ni",0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127]
[null,"",null,"","","","","","","",{"$f":"IF(P57=\"\",\"\",100*SQRT($T$14*S57))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"DFT F(z)",7.1895213599376353,0.8846905387653855,0.58823722570602277,0.37225536432897571,0.54447571830734787,5.2218294517969244E-3,0.49084743059252034,9.5842942458920888E-2,0.33183635566337594,0.36569940174784316,0.29186661819723558,4.0676114714585453E-2,0.23406991456412463,8.2207706819224874E-2,6.20904916235396E-2,4.509262719284933E-2,0.1141336442398105,0.12276665573823443,0.10120108192607792,4.5166424748426803E-2,0.11204170178590828,6.7176446746981755E-2,0.14993265604099504,0.18690208553381696,5.7838672226707577E-2,9.2915862519132308E-2,3.4030387004564996E-2,4.5385878842514729E-2,0.13406061770852551,5.3175360474113989E-2,4.5327781901855282E-2,5.8474672791108483E-2,0.13099584227695876,5.6920378933938837E-2,4.0978492776133212E-2,6.4934886713847534E-2,3.1226019724570866E-2,4.7268716794474121E-2,5.0757176723785109E-2,6.6372676008910392E-2,0.10192526702263596,4.3273634982433265E-2,2.1026840275023089E-2,2.2495207239746445E-2,5.1615573726459911E-2,1.4637665028566699E-2,1.4360644129229123E-2,3.0025918086406263E-2,2.1606818733992728E-2,2.1637575459526985E-2,1.073781859696128E-2,1.3001299527400699E-2,3.2922138504414902E-2,1.2656985650415918E-2,1.4076147693689257E-3,2.637259382517676E-2,2.5188243517525698E-2,2.0284162962622435E-2,1.6374866466505683E-2,1.1072070214911913E-2,1.7000449372297131E-2,1.0994209117671237E-2,8.3605188181720969E-3,7.2847013740921793E-3,1.3261762606031154E-2,5.2898377947164519E-3,1.0109144438994189E-2,6.15075881298163E-3,6.0507146342472472E-3,8.1848092973057368E-3,6.137280734792111E-3,4.0950883922815495E-3,6.4592580384572607E-3,{"$f":"IF(DB59=\"\",\"\",IMABS(DB59))","v":""},"","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","",""]
[null,"",null,"","","","","","","",{"$f":"IF(P58=\"\",\"\",100*SQRT($T$14*S58))","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Classes:",null,"1-10 classes with or without analyte "]
[null,"Analyte 4","steel","aL:",{"$f":"IF(S62=\"\",\"\",S62)","v":0.19999999999999951},null,"RSD(aL) %:",{"$f":"IF(T62=\"\",\"\",T62)","v":7.5545676606694284E-6},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null," class: only SU is calculated"]
[null,null,null,"s(CSU) %",null,null,"s(SU) %",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Horizontal:",null,"No limit of length, but if > 256 graphs needs to be modified"]
[null,"N","Ni","Syst %","Strat %","Rand %","Syst %","Strat %","Rand %","s(FSU) %","s(FSE) %",null,null,null,null,null,null,2.8508582672981966,0.19999999999999951,7.5545676606694284E-6,null,null,null,"If = 1 only FSU and FSE is calculated"]
[null,{"$f":"IF(L63=\"\",\"\",L63)","v":144},1,{"$f":"IF(G63<>\"\",SQRT($J63^2+G63^2),\"\")","v":14.126573495043795},{"$f":"IF(H63<>\"\",SQRT($J63^2+H63^2),\"\")","v":14.126573495043795},14.126573495043795,{"$f":"IF(O63<>\"\",SQRT($T$14)*O63,\"\")","v":1.9296746184360354E-13},{"$f":"IF(P63<>\"\",SQRT($T$14)*P63,\"\")","v":1.9296746184360354E-13},1.9296746184360354E-13,{"$f":"IF(O63=\"\",\"\",100*SQRT($T$15*R63))","v":14.126573495043795},{"$f":"IF(R62=\"\",\"\",100*SQRT($T$15*R62))","v":14.126573495043793},144,72,1,1.1140981604024335E-13,1.1140981604024335E-13,1.1140981604024335E-13,2.8508582672981984,0.19999999999999951,7.5545676606694284E-6,null,"Vertical:",null,"No limit of length, but if > 16 graphs needs to be modified"]
[null,{"$f":"IF(L64=\"\",\"\",L64)","v":144},9,{"$f":"IF(G64<>\"\",SQRT($J64^2+G64^2),\"\")","v":14.126573495043795},14.126573495043795,14.126573495043795,{"$f":"IF(O64<>\"\",SQRT($T$14)*O64,\"\")","v":1.9860273225978229E-13},1.9232031017981958E-13,1.9232031017981958E-13,14.126573495043795,null,144,8,9,1.1466334093198049E-13,1.1103618285295116E-13,1.1103618285295116E-13,2.8508582672981984,0.19999999999999951,7.5545676606694284E-6,null,null,null,"If =1 FSU and FSE will be identical"]
[null,"",null,"","","","","","",""]
[null,"",null,{"$f":"IF(G66<>\"\",SQRT($J66^2+G66^2),\"\")","v":""},"","","","","",""]
[null,"",null,"","","","","","",""]
[null,"",null,"","","","","","","",{"$f":"IF(P68=\"\",\"\",100*SQRT($T$14*S68))","v":""}]
[null,"",null,"","","","","","","",{"$f":"IF(P69=\"\",\"\",100*SQRT($T$14*S69))","v":""},null,null,null,null,null,null,null,null,null,null,"Organization of data:"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Horizontal in columns, vertical in rows, classes in kmx rows within each vertical depth"]
[null,"Analyte 5","Analyte 5","aL:",{"$f":"IF(S73=\"\",\"\",S73)","v":""},null,"RSD(aL) %:",{"$f":"IF(T73=\"\",\"\",T73)","v":""}]
[null,null,null,"s(CSU) %",null,null,"s(SU) %",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Horizontal"]
[null,"N","Ni","Syst %","Strat %","Rand %","Syst %","Strat %","Rand %","s(FSU) %","s(FSE) %",null,null,null,null,null,null,null,null,null,null,"Vertical","Class",1,2,"…","hmx"]
[null,{"$f":"IF(L74=\"\",\"\",L74)","v":""},null,{"$f":"IF(G74<>\"\",SQRT($J74^2+G74^2),\"\")","v":""},{"$f":"IF(H74<>\"\",SQRT($J74^2+H74^2),\"\")","v":""},"",{"$f":"IF(O74<>\"\",SQRT($T$13)*O74,\"\")","v":""},"","",{"$f":"IF(O74=\"\",\"\",100*SQRT($T$15*R74))","v":""},{"$f":"IF(R73=\"\",\"\",100*SQRT($T$15*R73))","v":""},null,null,null,null,null,null,null,null,null,null,1,1,"B100","C100","…","…"]
[null,{"$f":"IF(L75=\"\",\"\",L75)","v":""},null,{"$f":"IF(G75<>\"\",SQRT($J75^2+G75^2),\"\")","v":""},"","","","","","",null,null,null,null,null,null,null,null,null,null,null,1,2,"B101","C101","…","…"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,1,"…","…","…","…","…"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,1,"kmx","…","…","…","…"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,2,1,"…","…","…","…"]
[null,"",null,"","","","","","","",{"$f":"IF(P79=\"\",\"\",100*SQRT($T$14*S79))","v":""},null,null,null,null,null,null,null,null,null,null,2,2,"…","…","…","…"]
[null,"",null,"","","","","","","",{"$f":"IF(P80=\"\",\"\",100*SQRT($T$14*S80))","v":""},null,null,null,null,null,null,null,null,null,null,2,"…","…","…","…","…"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,"kmx","…","…","…","…"]
[null,"Analyte 6",0,"aL:",{"$f":"IF(S84=\"\",\"\",S84)","v":""},null,"RSD(aL) %:",{"$f":"IF(T84=\"\",\"\",T84)","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,"…",1,"…","…","…","…"]
[null,null,null,"s(CSU) %",null,null,"s(SU) %",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"…",2,"…","…","…","…"]
[null,"N","Ni","Syst %","Strat %","Rand %","Syst %","Strat %","Rand %","s(FSU) %","s(FSE) %",null,null,null,null,null,null,null,null,null,null,"…","…","…","…","…","…"]
[null,{"$f":"IF(L85=\"\",\"\",L85)","v":""},null,{"$f":"IF(G85<>\"\",SQRT($J85^2+G85^2),\"\")","v":""},{"$f":"IF(H85<>\"\",SQRT($J85^2+H85^2),\"\")","v":""},"",{"$f":"IF(O85<>\"\",SQRT($T$13)*O85,\"\")","v":""},"","",{"$f":"IF(O85=\"\",\"\",100*SQRT($T$15*R85))","v":""},{"$f":"IF(R84=\"\",\"\",100*SQRT($T$15*R84))","v":""},null,null,null,null,null,null,null,null,null,null,"…","kmx","…","…","…","…"]
[null,{"$f":"IF(L86=\"\",\"\",L86)","v":""},null,{"$f":"IF(G86<>\"\",SQRT($J86^2+G86^2),\"\")","v":""},"","","","","","",null,null,null,null,null,null,null,null,null,null,null,"vmx",1,"…","…","…","…"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,"vmx",2,"…","…","…","…"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,"vmx","…","…","…","…","…"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,"vmx","kmx","…","…","…","…"]
[null,"",null,"","","","","","","",{"$f":"IF(P90=\"\",\"\",100*SQRT($T$14*S90))","v":""}]
[null,"",null,"","","","","","","",{"$f":"IF(P91=\"\",\"\",100*SQRT($T$14*S91))","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Input are proportion of each class, x(k) = 0 to 1"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"The sum of x(k) in each box must be 1"]
[null,null,null,null,null,"NOTE: The input data must be average concentrations unaffected by FSE",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Error in concentrations are shown in cell AI33"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"NOTE: The input data must be average concentrations unaffected by FSE"]
["Table 1",null,null,null,null,"s2(CSU) = s2(FSU) + s2(SU) ",null,null,"In this spreadsheet s(SU) = s(GSE)"]
[]
["INPUT DATA IN THE WHITE CELLS starting in B100:",null,null,null,null,"(Row and Column no. 1, 2, 3… is only for information)"]
[null,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144]
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[3,0.70722220184611428,0.69444060747075431,0.69117710616521144,0.68936706215568,0.69138329487876571,0.68761242377386289,0.68465712859123429,0.68035980939412566,0.67380036727406856,0.67037875081481135,0.67103258956523426,0.67060490950230855,0.6723218245688114,0.68217050317647998,0.69512400454412571,0.70066678367802282,0.69510738816148576,0.69583808677955428,0.70191549349469717,0.69804269528366858,0.69442464504406853,0.69668878479388574,0.69458530120195427,0.68708727121846858,0.6881189960864571,0.69638880590011432,0.69719574988220567,0.6938393854102286,0.69149760479381717,0.69578289389016001,0.70675320542692577,0.71528603942788571,0.71987830555909715,0.72048508210134854,0.71932898600765716,0.7250593263835543,0.72729128844294855,0.72300391450229717,0.72424942419341709,0.72779552944699433,0.73033532036255999,0.73103251080739429,0.72332307105906291,0.71430675623930284,0.71124698450508572,0.70517541931828576,0.70304082982138283,0.70073270628106288,0.69542449036324572,0.70046462454242286,0.71237463666481138,0.72134120791916567,0.71803072662060574,0.70960068777286855,0.71378421224611432,0.72045433050553143,0.72578093712435432,0.73118574116248003,0.7305986513105257,0.72312364871065138,0.71250862103934853,0.70786916735377137,0.70803417455125717,0.71286783467514281,0.71923681932337147,0.71722439517523429,0.71013056500784,0.7118896660706171,0.7148185524415771,0.71078856274780566,0.70667224135560003,0.70394199260345147,0.69656063199890283,0.69062956820760002,0.69186233765252569,0.69444362119647995,0.69766118519260567,0.69422154502132571,0.68284596213926863,0.67457057585589708,0.67830661415121141,0.68438193551877713,0.68798368626294859,0.69461155884259429,0.69922063283513147,0.70447425923178286,0.70949318295386288,0.71226765467490283,0.71362051480624,0.70994846861266281,0.70762745972435426,0.70217063618220577,0.6946063146755771,0.69140453817990855,0.6903068243836229,0.69055420910645715,0.69614427554347424,0.70226667547313137,0.70477419154089138,0.70326522609927999,0.71106918955100573,0.72087297584142862,0.7223578695559657,0.72177337441248002,0.71821605392382859,0.70939531327860572,0.70267923523467424,0.70807266108259426,0.71353590460144001,0.71052792584729141,0.70299395189607994,0.69650490253055997,0.69985706132906289,0.70436630594276572,0.69887914720760003,0.69529960755695996,0.69428910533648003,0.68700910892061717,0.67543513582819426,0.66691970701525716,0.66918671255177142,0.68035891084271993,0.68368031653098282,0.67512331233660572,0.66897273697715431,0.67394742259881146,0.68303318329983997,0.68628708269121141,0.69125293465548576,0.69866371940303995,0.69835350895994286,0.69333751764762286,0.69397273927928005,0.70017011947697139,0.70038557214369146,0.69961549108157717,0.70035676649929146,0.69282662719487997,0.68730941030796566,0.68840584724609144,0.68868252306434286,0.68163808771223999,0.67055033693067423,0.68878528115922288]
[4,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2]
[5]
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[7]
[8]
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[11]
[12]
[13]
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{"sheet":"CSU","index":1,"n_rows":355,"n_cols":288,"rows_kept":355,"cut":false,"hidden":false,"merged":[[59,4,59,5],[59,7,59,8],[70,4,70,5],[70,7,70,8],[81,4,81,5],[81,7,81,8],[48,4,48,5],[48,7,48,8],[2,2,2,3],[26,4,26,5],[26,7,26,8],[37,4,37,5],[37,7,37,8]]}
["CSU_3.0.xlsm",null,null,null,null,"Data input from cell B100",null,null,"Instructions in cell V3",null,null,null,null,null,null,"Author: Bo Svensmark, svensmark@plen.ku.dk, Analytical Chemistry, ECP, PLEN, University of Copenhagen, 2022"]
[]
[null,"Run at:",{"$f":"IF(L27<>\"\",L27,\"Please update CSU\")","v":"2022-05-29T12:19:31"},null,"Runtime:",{"$f":"IF(M27<>\"\",M27,\"Not run\")","v":5},"s",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Manual:","NOTE: The input data must be average concentrations unaffected by FSE"]
["Title:"]
["Comm:",null,null,null,null,"This sheet contains data from the example, please overwrite or delete old data (and this text), see instructions in cell V3",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Do only enter values in the WHITE cells"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"1) Enter the input data f(x) in Table 1 starting i cell B100"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Indices 1,2,3… is only for infrmation"]
[null,"Table 2a",null,null,null,"Table 2b",null,null,"Analyte:",1,2,3,4,5,6,"Macro input",null,null,"Intermediate results",null,null,null,null,"Organization of dats, see layout below"]
[null,"Sampling ratio",null,8,null,"Class (k)","Name","m(k)","Name:","sand","sesame","barley","steel","Analyte 5"]
[null,"kmx, no of classes",null,4,null,1,"Sand",1E-4,"Conc, g/g:",1,0,0,0,0.7,null,"Runs",{"$f":"COUNT(D16:D21)","v":1},null,"M(L)",{"$f":"IF(D23<>\"\",D23,\"\")","v":1000},null,null,"2) Enter parameters in Table 2"]
[null,"hmx, horizontal length",null,64,null,2,"Sesame",3.0000000000000001E-3,null,0,1,0,0,0.3,null,null,null,null,"M(S)",{"$f":"IF(D24<>\"\",D24,\"\")","v":125},null,null,null,"If ni is not  a divisor in hmx, input will be truncated and a warning is given,"]
[null,"vmx, vertical depth",null,64,null,3,"Barley",4.4999999999999998E-2,null,0,0,1,0,0.05,null,null,null,null,"M(L)/MS()",{"$f":"IF(T12=\"\",\"\",T11/T12)","v":8},null,null,null,"hmx may be <  than the length of input data "]
[null,"Run analyte 1 to ?",null,4,{"$f":"IF(OR(D14>6, D14<1),\"Error\",\"\")","v":""},4,"Steel",0.88100000000000001,null,0,0,0,1,0,null,null,null,null,"Rounds",{"$f":"LN(T13)/LN(D10)","v":1},null,null,null,"Unused entries for ni in Table 1 must be blank"]
[null,"MC runs:",null,4000,null,5,null,null,null,null,null,null,null,null,null,null,null,null,"(1/MS-1/ML)",{"$f":"(1/T12-1/T11)","v":7.0000000000000001E-3},null,null,null,"For point selection enter the number of increments with a minus sign (-ni)"]
[null,"ni, no of increments",null,8,{"$f":"IF(D16=\"\",\"\",IF(D16*D$10>D$12,\"Too big!\",IF(MOD(D$12,D16*$D$10)<>0,\"Warning\",\"\")))","v":""},6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"For point selection the number of Rounds must be 1. Adjust ratio or ML/MS"]
[null,null,null,null,"",7]
[null,null,null,null,"",8,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"3) Press the button Update CSU"]
[null,null,null,null,"",9,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"The progress can be seen in the lower left corner of the screen"]
[null,null,null,null,"",10,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"If it takes too long time press ESC and then End"]
[null,null,null,null,""]
[null,"Table 2c",null,null,null,{"$f":"IF(MOD(T13,D10)=0,\"\",\"Error in Sampling ratio  vs  M(L) or M(S)\")","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"4) Analyse the results"]
[null,"M(Lot), g",null,1000,null,null,null,null,null,null,null,"s2(CSU) = s2(FSU) + s2(SU) ",null,null,"In this spreadsheet s(SU) = s(GSE)",null,null,null,null,null,null,null,null,"You can change the masses M(L) end M(S) and CSU will change accordingly"]
[null,"M(Sample), g",null,125]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"5) Save the workbook under a new name: Save As…"]
[null,"Table 3",null,null,null,{"$f":"IF(O27=\"\",\"\",IF(SUM(D10:R21)=O27,\"\",\"Input parameter has changed - please Update CSU\"))","v":""},null,null,null,null,null,"Macro output"]
[null,"Analyte 1",{"$f":"J10","v":"sand"},"aL:",{"$f":"IF(S29=\"\",\"\",S29)","v":5.4943847656249947E-2},null,"RSD(aL) %:",{"$f":"IF(T29=\"\",\"\",T29)","v":103.88112791101865},null,null,null,"2022-05-29T12:19:31",5,64,4213.9790999999996,0,null,null,null,null,null,null,"6) To continue: Change input and try again - or create a new sheet"]
[null,null,null,"s(CSU) %",null,null,"s(SU) %"]
[null,"N","Ni","Syst %","Strat %","Rand %","Syst %","Strat %","Rand %","s(FSU) %","s(FSE) %",null,null,null,null,null,null,0.12615779755947248,5.4943847656249947E-2,103.88112791101865,null,null,"7) To create a new sheet press the New Sheet button"]
[null,{"$f":"IF(L30=\"\",\"\",L30)","v":64},1,{"$f":"IF(G30<>\"\",SQRT($J30^2+G30^2),\"\")","v":88.539236891754115},{"$f":"IF(H30<>\"\",SQRT($J30^2+H30^2),\"\")","v":88.539236891754115},88.539236891754115,{"$f":"IF(O30<>\"\",SQRT($T$14)*O30,\"\")","v":88.482303873090132},{"$f":"IF(P30<>\"\",SQRT($T$14)*P30,\"\")","v":88.482303873090132},88.482303873090132,{"$f":"IF(O30=\"\",\"\",100*SQRT($T$15*R30))","v":3.1746449698026202},{"$f":"IF(R29=\"\",\"\",100*SQRT($T$15*R29))","v":2.9717075611780972},64,8,1,88.482303873090132,88.482303873090132,88.482303873090132,0.14397672406132969,5.4943847656249947E-2,103.88112791101865,null,null,null,"The new sheet will contain a copy of data in Table 1 & 2"]
[null,{"$f":"IF(L31=\"\",\"\",L31)","v":64},8,{"$f":"IF(G31<>\"\",SQRT($J31^2+G31^2),\"\")","v":14.05414708285328},19.20603924726991,34.747164432809939,{"$f":"IF(O31<>\"\",SQRT($T$14)*O31,\"\")","v":13.690897689420526},18.941847134938531,34.601836157008186,3.1746449698026202,null,64,1,8,13.690897689420526,18.941847134938531,34.601836157008186,0.14397672406132969,5.4943847656249947E-2,103.88112791101865]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,null,"8) Troubleshooting"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,null,null,"If you get a runtime error in the macros:",null,null,null,null,null,null,null,"Error in concentrations",null,null,{"$f":"P27","v":0},null,null,null,"Max DFT:",{"$f":"MAX(AH57:FD57)","v":1.8297041618688898},null,"Analyte #",null,"DFT: Discrete Fourier Transform of horizontal means"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,null,null,"Press Debug in the pop up window",null,null,null,null,null,null,null,"(average error in one box)",null,null,1,null,null,null,null,null,null,1,null,{"$f":"IF(AI34=AP34,\"\",\"Please update DFT\")","v":""}]
[null,"",null,"","","","","","","",{"$f":"IF(P35=\"\",\"\",100*SQRT($T$14*S35))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,"Look at the code and try to understand the problem",null,null,null,null,null,null,null,"Table 4"]
[null,"",null,"","","","","","","",{"$f":"IF(P36=\"\",\"\",100*SQRT($T$14*S36))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,"Press the reset button (blue square in the tools) and try to fix the",null,null,null,null,null,null,null,"Index",1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"error or go to the spreadsheet and fix the error",null,null,null,null,null,null,null,"Depth",-1,-2,-3,-4,-5,-6,-7,-8,-9,-10,-11,-12,-13,-14,-15,-16,-17,-18,-19,-20,-21,-22,-23,-24,-25,-26,-27,-28,-29,-30,-31,-32,-33,-34,-35,-36,-37,-38,-39,-40,-41,-42,-43,-44,-45,-46,-47,-48,-49,-50,-51,-52,-53,-54,-55,-56,-57,-58,-59,-60,-61,-62,-63,-64,-65,-66,-67,-68,-69,-70,-71,-72,-73,-74,-75,-76,-77,-78,-79,-80,-81,-82,-83,-84,-85,-86,-87,-88,-89,-90,-91,-92,-93,-94,-95,-96,-97,-98,-99,-100,-101,-102,-103,-104,-105,-106,-107,-108,-109,-110,-111,-112,-113,-114,-115,-116,-117,-118,-119,-120,-121,-122,-123,-124,-125,-126,-127,-128,-129,-130,-131,-132,-133,-134,-135,-136,-137,-138,-139,-140,-141,-142,-143,-144,-145,-146,-147,-148,-149,-150,-151,-152,-153,-154,-155,-156,-157,-158,-159,-160,-161,-162,-163,-164,-165,-166,-167,-168,-169,-170,-171,-172,-173,-174,-175,-176,-177,-178,-179,-180,-181,-182,-183,-184,-185,-186,-187,-188,-189,-190,-191,-192,-193,-194,-195,-196,-197,-198,-199,-200,-201,-202,-203,-204,-205,-206,-207,-208,-209,-210,-211,-212,-213,-214,-215,-216,-217,-218,-219,-220,-221,-222,-223,-224,-225,-226,-227,-228,-229,-230,-231,-232,-233,-234,-235,-236,-237,-238,-239,-240,-241,-242,-243,-244,-245,-246,-247,-248,-249,-250,-251,-252,-253,-254,-255,-256]
[null,"Analyte 2","sesame","aL:",{"$f":"IF(S40=\"\",\"\",S40)","v":0.16433105468749998},null,"RSD(aL) %:",{"$f":"IF(T40=\"\",\"\",T40)","v":80.846547729193716},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Horz 1",0,0,0,1.0937500000000001E-3,1.8749999999999997E-3,3.1250000000000006E-3,4.5312500000000014E-3,5.4687500000000023E-3,6.4062500000000031E-3,7.8125000000000035E-3,9.2187500000000047E-3,9.531250000000005E-3,1.0000000000000005E-2,1.0000000000000005E-2,1.0000000000000005E-2,1.0000000000000005E-2,1.1093750000000006E-2,1.2968750000000008E-2,1.468750000000001E-2,1.5781250000000011E-2,1.6250000000000011E-2,1.6718750000000011E-2,1.7500000000000012E-2,1.8281250000000013E-2,2.0000000000000011E-2,2.0000000000000011E-2,2.0000000000000011E-2,2.2343750000000013E-2,2.4687500000000015E-2,2.9375000000000019E-2,3.2187500000000022E-2,3.453125000000002E-2,3.6875000000000012E-2,3.9687500000000007E-2,4.4843749999999988E-2,4.5312499999999985E-2,4.6718749999999969E-2,4.7656249999999963E-2,4.9999999999999947E-2,4.9999999999999947E-2,4.9999999999999947E-2,4.9999999999999947E-2,4.9999999999999947E-2,5.3124999999999964E-2,6.0937499999999957E-2,6.8749999999999936E-2,7.4999999999999928E-2,8.2031249999999917E-2,8.906249999999992E-2,9.3749999999999917E-2,9.9999999999999895E-2,9.9999999999999895E-2,9.9999999999999895E-2,9.9999999999999895E-2,0.11718749999999982,0.12812499999999982,0.14687499999999978,0.15468749999999978,0.16406249999999978,0.1734374999999998,0.18281249999999979,0.19999999999999979,0.19999999999999979,0.19999999999999979]
[null,null,null,"s(CSU) %",null,null,"s(SU) %",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Horz 2",0.39999999999999958,0.39999999999999958,0.39999999999999958,0.38906249999999981,0.38124999999999992,0.36875000000000002,0.3546875000000001,0.34531250000000013,0.33593750000000017,0.32187500000000019,0.30781250000000021,0.30468750000000028,0.30000000000000038,0.30000000000000038,0.30000000000000038,0.30000000000000038,0.28906250000000022,0.27031249999999996,0.25312499999999971,0.24218749999999956,0.23749999999999957,0.23281249999999959,0.22499999999999964,0.2171874999999997,0.19999999999999979,0.19999999999999979,0.19999999999999979,0.19218749999999982,0.18437499999999982,0.16874999999999984,0.15937499999999985,0.15156249999999985,0.14374999999999988,0.13437499999999991,0.11718749999999997,0.11562499999999996,0.11093749999999995,0.10781249999999994,9.9999999999999895E-2,9.9999999999999895E-2,9.9999999999999895E-2,9.9999999999999895E-2,9.9999999999999895E-2,9.3749999999999917E-2,7.8124999999999972E-2,6.2500000000000028E-2,5.0000000000000024E-2,3.5937500000000011E-2,2.1875000000000002E-2,1.2499999999999999E-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[null,"N","Ni","Syst %","Strat %","Rand %","Syst %","Strat %","Rand %","s(FSU) %","s(FSE) %",null,null,null,null,null,null,0.13679358879700321,0.16433105468749998,80.846547729193716,null,"Table 2:","Ratio:","Sampling ratio M(L)/M(S)",null,null,null,null,null,null,null,"Horz 3",0.60000000000000075,0.60000000000000075,0.60000000000000075,0.60984375000000068,0.61687500000000073,0.6281250000000006,0.64078125000000041,0.6492187500000004,0.65765625000000028,0.67031250000000009,0.68296875000000001,0.6857812499999999,0.68999999999999972,0.68999999999999972,0.68999999999999972,0.68999999999999972,0.69765624999999964,0.7107812499999997,0.72281249999999975,0.73046874999999978,0.73374999999999979,0.7370312499999998,0.74249999999999972,0.74796874999999974,0.75999999999999979,0.75999999999999979,0.75999999999999979,0.74359374999999983,0.72718749999999976,0.69437499999999985,0.67468749999999988,0.65828124999999993,0.64187499999999997,0.6221875,0.58609375000000019,0.58281250000000029,0.57296875000000025,0.56640625000000022,0.55000000000000016,0.55000000000000016,0.55000000000000016,0.55000000000000016,0.55000000000000016,0.55937500000000051,0.58281250000000062,0.60625000000000051,0.62500000000000044,0.64609375000000047,0.66718750000000049,0.68125000000000058,0.70000000000000051,0.70000000000000051,0.70000000000000051,0.70000000000000051,0.71718750000000075,0.72812500000000058,0.74687500000000007,0.75468749999999996,0.76406249999999987,0.77343749999999978,0.78281249999999958,0.79999999999999916,0.79999999999999916,0.79999999999999916]
[null,{"$f":"IF(L41=\"\",\"\",L41)","v":64},1,{"$f":"IF(G41<>\"\",SQRT($J41^2+G41^2),\"\")","v":72.230892747678823},{"$f":"IF(H41<>\"\",SQRT($J41^2+H41^2),\"\")","v":72.230892747678823},72.230892747678823,{"$f":"IF(O41<>\"\",SQRT($T$14)*O41,\"\")","v":72.192647244034305},{"$f":"IF(P41<>\"\",SQRT($T$14)*P41,\"\")","v":72.192647244034305},72.192647244034305,{"$f":"IF(O41=\"\",\"\",100*SQRT($T$15*R41))","v":2.3502236117243962},{"$f":"IF(R40=\"\",\"\",100*SQRT($T$15*R40))","v":3.0944387561866895},64,8,1,72.192647244034305,72.192647244034305,72.192647244034305,7.8907871787240916E-2,0.16433105468749998,80.846547729193716,null,null,"kmx:","No of classes (1-10)",null,null,null,null,null,null,null,"Horz 4",0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.1875000000000002E-3,5.9375000000000009E-3,9.3750000000000031E-3,1.1562500000000005E-2,1.2500000000000006E-2,1.3437500000000007E-2,1.5000000000000008E-2,1.6562500000000008E-2,2.0000000000000011E-2,2.0000000000000011E-2,2.0000000000000011E-2,4.1875000000000009E-2,6.3749999999999973E-2,0.10749999999999986,0.13374999999999987,0.15562499999999993,0.17749999999999991,0.20374999999999999,0.25187500000000018,0.2562500000000002,0.26937500000000025,0.27812500000000029,0.30000000000000038,0.30000000000000038,0.30000000000000038,0.30000000000000038,0.30000000000000038,0.29375000000000029,0.27812500000000018,0.26250000000000018,0.25000000000000017,0.23593750000000011,0.22187500000000002,0.21249999999999997,0.19999999999999979,0.19999999999999979,0.19999999999999979,0.19999999999999979,0.16562499999999991,0.14374999999999999,0.10625000000000005,9.0625000000000039E-2,7.1875000000000022E-2,5.3125000000000012E-2,3.4374999999999996E-2,0,0,0]
[null,{"$f":"IF(L42=\"\",\"\",L42)","v":64},8,{"$f":"IF(G42<>\"\",SQRT($J42^2+G42^2),\"\")","v":9.3844484739370664},13.128710729944268,26.382378958219515,{"$f":"IF(O42<>\"\",SQRT($T$14)*O42,\"\")","v":9.0853905879094086},12.916636342540844,26.277487864520022,2.3502236117243962,null,64,1,8,9.0853905879094086,12.916636342540844,26.277487864520022,7.8907871787240916E-2,0.16433105468749998,80.846547729193716,null,null,"hmx:","Horizontal length (1-256)",null,null,null,null,null,null,null,"Horz 5"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,null,"vmx:","Vertical depth (1-16)",null,null,null,null,null,null,null,"Horz 6"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,null,"Run cases:","Number of cases to run now",null,null,null,null,null,null,null,"Vert 1",5.1875000000000039E-2,5.4062500000000041E-2,5.4375000000000041E-2,5.5781250000000039E-2,5.7656250000000041E-2,5.703125000000004E-2,5.8437500000000045E-2,5.8437500000000045E-2,5.8437500000000045E-2,6.0625000000000047E-2,6.0156250000000043E-2,6.0156250000000043E-2,6.0312500000000047E-2,5.9843750000000043E-2,5.9687500000000046E-2,6.0000000000000046E-2,5.9843750000000043E-2,5.9531250000000042E-2,6.031250000000004E-2,6.0156250000000043E-2,5.8750000000000038E-2,5.8750000000000038E-2,5.7187500000000037E-2,5.7343750000000041E-2,5.6562500000000043E-2,5.5156250000000039E-2,5.5781250000000039E-2,5.4375000000000041E-2,5.4062500000000041E-2,5.2656250000000036E-2,5.3281250000000037E-2,5.250000000000004E-2,5.1562500000000032E-2,5.0937500000000038E-2,5.1562500000000032E-2,5.0000000000000031E-2,4.9843750000000034E-2,4.9843750000000034E-2,5.0156250000000034E-2,4.9843750000000034E-2,4.9843750000000034E-2,5.0000000000000031E-2,5.0000000000000031E-2,4.9843750000000034E-2,4.9375000000000037E-2,4.9375000000000037E-2,5.0468750000000034E-2,5.1250000000000039E-2,5.0625000000000038E-2,5.1562500000000039E-2,5.1718750000000036E-2,5.281250000000004E-2,5.2968750000000037E-2,5.4531250000000038E-2,5.4531250000000038E-2,5.6250000000000043E-2,5.5625000000000042E-2,5.5937500000000036E-2,5.5937500000000036E-2,5.8125000000000038E-2,5.8125000000000038E-2,5.6562500000000036E-2,5.7187500000000037E-2,5.6875000000000044E-2]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,null,"ni:","No of increments in a sample (>1).  Grab sampling (ni = 1) is automatically included",null,null,null,null,null,null,null,"Vert 2",0.17187499999999983,0.16874999999999982,0.16562499999999983,0.16406249999999983,0.16406249999999983,0.16406249999999983,0.1656249999999998,0.1656249999999998,0.1656249999999998,0.16562499999999983,0.16718749999999982,0.16718749999999982,0.16874999999999979,0.17031249999999978,0.17187499999999981,0.17187499999999981,0.1734374999999998,0.1734374999999998,0.17187499999999981,0.1734374999999998,0.17187499999999981,0.17187499999999981,0.17187499999999981,0.17031249999999981,0.17187499999999981,0.17031249999999984,0.16718749999999982,0.16562499999999986,0.16562499999999986,0.16406249999999986,0.16093749999999987,0.16249999999999987,0.15937499999999988,0.15937499999999988,0.15624999999999989,0.15624999999999989,0.15468749999999989,0.15468749999999989,0.15156249999999991,0.15156249999999988,0.15156249999999988,0.14999999999999988,0.14999999999999988,0.15156249999999988,0.1531249999999999,0.1531249999999999,0.15468749999999989,0.1531249999999999,0.15624999999999989,0.15937499999999988,0.16093749999999987,0.16249999999999987,0.16406249999999986,0.16406249999999986,0.16718749999999985,0.16874999999999984,0.17187499999999983,0.17187499999999983,0.17187499999999983,0.17187499999999983,0.17187499999999983,0.17187499999999983,0.16874999999999984,0.16874999999999984]
[null,"",null,"","","","","","","",{"$f":"IF(P46=\"\",\"\",100*SQRT($T$14*S46))","v":""},null,null,null,null,null,null,null,null,null,null,null,"m(k):","Mass of one fragment of class k",null,null,null,null,null,null,null,"Vert 3",0.68687500000000057,0.6765625000000004,0.66937500000000028,0.66671875000000025,0.66390625000000003,0.66296875000000011,0.66343750000000001,0.66343750000000001,0.66343750000000001,0.66593749999999985,0.66921874999999997,0.66921874999999997,0.67343749999999991,0.67671874999999992,0.67531249999999998,0.68093749999999997,0.67953124999999992,0.68390625000000005,0.68625000000000003,0.68484374999999997,0.68437500000000007,0.68437500000000007,0.68281250000000016,0.68390625000000016,0.68156250000000018,0.68109375000000028,0.67921875000000032,0.67875000000000041,0.67312500000000031,0.67296875000000045,0.67078125000000044,0.66843750000000046,0.66500000000000048,0.66375000000000051,0.66187500000000055,0.66031250000000064,0.65609375000000059,0.65609375000000059,0.65859375000000064,0.65296875000000054,0.65296875000000054,0.6543750000000006,0.6543750000000006,0.65328125000000059,0.6565625000000006,0.6565625000000006,0.66140625000000053,0.66375000000000062,0.66562500000000058,0.6693750000000005,0.67359375000000055,0.67843750000000047,0.68265625000000041,0.68421875000000032,0.68734375000000036,0.69312500000000032,0.69500000000000028,0.70062500000000039,0.70031250000000034,0.70281250000000028,0.70281250000000028,0.70093750000000032,0.69875000000000032,0.69312500000000032]
[null,"",null,"","","","","","","",{"$f":"IF(P47=\"\",\"\",100*SQRT($T$14*S47))","v":""},null,null,null,null,null,null,null,null,null,null,null,"Name:","Name of analyte in this case",null,null,null,null,null,null,null,"Vert 4",8.9375000000000038E-2,0.10062500000000002,0.11062500000000001,0.11343750000000001,0.114375,0.1159375,0.11249999999999999,0.11249999999999999,0.11249999999999999,0.10781249999999999,0.1034375,0.1034375,9.7500000000000003E-2,9.3125000000000013E-2,9.3125000000000013E-2,8.7187500000000015E-2,8.7187500000000015E-2,8.3125000000000004E-2,8.156250000000001E-2,8.156250000000001E-2,8.500000000000002E-2,8.500000000000002E-2,8.8125000000000023E-2,8.8437500000000016E-2,9.0000000000000011E-2,9.3437500000000021E-2,9.7812500000000011E-2,0.10125000000000002,0.10718750000000002,0.11031250000000002,0.11500000000000002,0.11656250000000001,0.12406250000000001,0.12593750000000001,0.13031249999999997,0.13343749999999996,0.13937499999999994,0.13937499999999994,0.13968749999999994,0.14562499999999989,0.14562499999999989,0.14562499999999989,0.14562499999999989,0.1453124999999999,0.14093749999999991,0.14093749999999991,0.13343749999999996,0.13187499999999996,0.1275,0.1196875,0.11375,0.10625000000000001,0.10031250000000001,9.718750000000001E-2,9.0937500000000018E-2,8.1875000000000017E-2,7.7500000000000027E-2,7.1562500000000029E-2,7.1875000000000036E-2,6.7187500000000025E-2,6.7187500000000025E-2,7.0625000000000035E-2,7.5312500000000032E-2,8.1250000000000031E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ak(i):","Analyte concentration in class k in case , g/g",null,null,null,null,null,null,null,"Vert 5"]
[null,"Analyte 3","barley","aL:",{"$f":"IF(S51=\"\",\"\",S51)","v":0.67437744140625011},null,"RSD(aL) %:",{"$f":"IF(T51=\"\",\"\",T51)","v":10.722159406390972},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Vert 6"]
[null,null,null,"s(CSU) %",null,null,"s(SU) %",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Table 3:","s(FSE) %:","s in % due to FSE, i.e. as if all boxes were mixed completely",null,null,null,null,null,null,null,"Vario 1",1.4581783234126944E-5,5.1068312121975692E-5,1.090288005891391E-4,1.8178771972656213E-4,2.6891613976430024E-4,3.6984337116109829E-4,4.8120202850877078E-4,6.0264304024832446E-4,7.1589799360795281E-4,8.2838089554397934E-4,9.2824131227888906E-4,1.0464829664963914E-3,1.1822643803615163E-3,1.3352167968749961E-3,1.4918731066645365E-3,1.6539718627929644E-3,1.8154489070811124E-3,1.9727886697520325E-3,2.1247615559895775E-3,2.2633933327414714E-3,2.3884646393531913E-3,2.5144656226748444E-3,2.6533867068406947E-3,2.8062469482421802E-3,2.9734293619791581E-3,3.1584389134457144E-3,3.353233543602186E-3,3.5648610432942596E-3,3.7893453543526674E-3,4.0287410960477823E-3,4.2624467329545326E-3,4.5008823394775263E-3]
[null,"N","Ni","Syst %","Strat %","Rand %","Syst %","Strat %","Rand %","s(FSU) %","s(FSE) %",null,null,null,null,null,null,0.10126596826615951,0.67437744140625011,10.722159406390972,null,null,"FSU %","s in % due to FSU as function of actual distribution and sampling ",null,null,null,null,null,null,null,"Vario 2",3.8597470238095224E-5,1.4164094002016122E-4,3.0269435194672122E-4,5.148722330729162E-4,7.7568442134533829E-4,1.0838791419719815E-3,1.4342619243421033E-3,1.8273271833147301E-3,2.2570578835227257E-3,2.7197265624999975E-3,3.2220343823702812E-3,3.7860107421874983E-3,4.4154507506127443E-3,5.1211914062499996E-3,5.9090501434949016E-3,6.7780049641927116E-3,7.7006628158244744E-3,8.6466913637907698E-3,9.6079915364583376E-3,1.0590931285511369E-2,1.1613315316133726E-2,1.269505092075893E-2,1.3833930783155486E-2,1.5032409667968746E-2,1.6251189403044868E-2,1.7578317742598677E-2,1.9006974503800667E-2,2.0510491265190958E-2,2.2087716238839268E-2,2.3693273207720574E-2,2.5300810842803015E-2,2.6943397521972643E-2]
[null,{"$f":"IF(L52=\"\",\"\",L52)","v":64},1,{"$f":"IF(G52<>\"\",SQRT($J52^2+G52^2),\"\")","v":9.4880091820841042},{"$f":"IF(H52<>\"\",SQRT($J52^2+H52^2),\"\")","v":9.4880091820841042},9.4880091820841042,{"$f":"IF(O52<>\"\",SQRT($T$14)*O52,\"\")","v":9.1418930403958534},{"$f":"IF(P52<>\"\",SQRT($T$14)*P52,\"\")","v":9.1418930403958534},9.1418930403958534,{"$f":"IF(O52=\"\",\"\",100*SQRT($T$15*R52))","v":2.539312875026257},{"$f":"IF(R51=\"\",\"\",100*SQRT($T$15*R51))","v":2.6624458264218571},64,8,1,9.1418930403958534,9.1418930403958534,9.1418930403958534,9.2115855389630186E-2,0.67437744140625011,10.722159406390972,null,null,"SU %","s in % due to GSE as function of actual distribution and sampling ",null,null,null,null,null,null,null,"Vario 3",8.4103732638888322E-5,3.0389404296874811E-4,6.5303174628585656E-4,1.1069594319661389E-3,1.6655403783765793E-3,2.3102099188442751E-3,3.0178599575109476E-3,3.7789212908063397E-3,4.5590771484374758E-3,5.3512758608217298E-3,6.1131064360996114E-3,6.884750131460296E-3,7.6487328622854966E-3,8.4104960937499522E-3,9.1143310546874471E-3,9.7529444376627042E-3,1.0261579018450737E-2,1.0611826755689472E-2,1.0790183648003401E-2,1.0771301269531179E-2,1.0535006926780451E-2,1.0146564301990254E-2,9.6445142792491636E-3,9.0253436279296162E-3,8.255508188100889E-3,7.3718126798930257E-3,6.4849612674197027E-3,5.5891937255858823E-3,4.7156427873883463E-3,3.8740421070771682E-3,3.2215761126893633E-3,2.6455081939697031E-3]
[null,{"$f":"IF(L53=\"\",\"\",L53)","v":64},8,{"$f":"IF(G53<>\"\",SQRT($J53^2+G53^2),\"\")","v":2.6982457236438062},3.210389229522387,4.3186272375710617,{"$f":"IF(O53<>\"\",SQRT($T$14)*O53,\"\")","v":0.91237059788661146},1.9643037259444451,3.4931978672581012,2.539312875026257,null,64,1,8,0.91237059788661146,1.9643037259444451,3.4931978672581012,9.2115855389630186E-2,0.67437744140625011,10.722159406390972,null,null,"CSU %","Total sampling uncertainty s in % as function of actual distribution and sampling ",null,null,null,null,null,null,null,"Vario 4",1.2057756696428588E-4,4.2323431199596837E-4,9.0646612448770593E-4,1.5326562500000023E-3,2.3101678363347498E-3,3.2287294585129364E-3,4.2489052220394804E-3,5.3621547154017943E-3,6.4781143465909201E-3,7.6238425925926074E-3,8.7295327240566184E-3,9.9083834134615599E-3,1.1142899816176496E-2,1.2427812500000031E-2,1.369790736607146E-2,1.495425211588545E-2,1.6144840841090458E-2,1.7263562542459272E-2,1.8290912543402812E-2,1.9206902521306853E-2,1.9966696947674455E-2,2.0624282691592305E-2,2.1202480706936016E-2,2.1694042968750032E-2,2.2099576822916692E-2,2.2386292146381607E-2,2.2718699852195968E-2,2.2937814670138917E-2,2.3109132254464308E-2,2.310076401654414E-2,2.3234369081439419E-2,2.3345822143554712E-2]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,null,"Syst %:","Relative standard deviation in % for systematic sampling",null,null,null,null,null,null,null,"Vario 5"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,null,"Strat%:","Relative standard deviation in % for stratified random sampling",null,null,null,null,null,null,null,"Vario 6"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,null,"Rand%:","Relative standard deviation in % for random sampling",null,null,null,null,null,null,null,"ni",0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127]
[null,"",null,"","","","","","","",{"$f":"IF(P57=\"\",\"\",100*SQRT($T$14*S57))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"DFT F(z)",3.3200000000000025,1.8297041618688898,0.87347952593490552,0.65055579323810431,0.68852666934161422,0.6802857808810725,0.46316980049087081,0.35190565072517721,0.48294499237383626,0.27981116590871902,0.18493781896479103,0.19372773816041677,9.7786067207310048E-2,3.9401787264553151E-2,0.12998786331014983,0.15742786246732929,0.11045361017187312,0.22688353693312427,0.1946431969012738,0.15372317162974783,0.17288492843514749,0.18550970051500459,0.14564332034096647,7.4780267725726712E-2,0.12314273970086349,4.5136035890144123E-2,5.054016319162994E-2,8.7513001960455652E-2,9.4232224771806053E-2,9.9549843642081567E-2,0.15797516652645585,0.16689488473719291,0.1,5.6920378933938837E-2,4.0978492776133212E-2,6.4934886713847534E-2,3.1226019724570866E-2,4.7268716794474121E-2,5.0757176723785109E-2,6.6372676008910392E-2,0.10192526702263596,4.3273634982433265E-2,2.1026840275023089E-2,2.2495207239746445E-2,5.1615573726459911E-2,1.4637665028566699E-2,1.4360644129229123E-2,3.0025918086406263E-2,2.1606818733992728E-2,2.1637575459526985E-2,1.073781859696128E-2,1.3001299527400699E-2,3.2922138504414902E-2,1.2656985650415918E-2,1.4076147693689257E-3,2.637259382517676E-2,2.5188243517525698E-2,2.0284162962622435E-2,1.6374866466505683E-2,1.1072070214911913E-2,1.7000449372297131E-2,1.0994209117671237E-2,8.3605188181720969E-3,7.2847013740921793E-3,1.3261762606031154E-2,5.2898377947164519E-3,1.0109144438994189E-2,6.15075881298163E-3,6.0507146342472472E-3,8.1848092973057368E-3,6.137280734792111E-3,4.0950883922815495E-3,6.4592580384572607E-3,{"$f":"IF(DB59=\"\",\"\",IMABS(DB59))","v":""},"","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","",""]
[null,"",null,"","","","","","","",{"$f":"IF(P58=\"\",\"\",100*SQRT($T$14*S58))","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Classes:",null,"1-10 classes with or without analyte "]
[null,"Analyte 4","steel","aL:",{"$f":"IF(S62=\"\",\"\",S62)","v":0.10634765625000006},null,"RSD(aL) %:",{"$f":"IF(T62=\"\",\"\",T62)","v":107.39915442854294},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null," class: only SU is calculated"]
[null,null,null,"s(CSU) %",null,null,"s(SU) %",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Horizontal:",null,"No limit of length, but if > 256 graphs needs to be modified"]
[null,"N","Ni","Syst %","Strat %","Rand %","Syst %","Strat %","Rand %","s(FSU) %","s(FSE) %",null,null,null,null,null,null,6.6466883544461677,0.10634765625000006,107.39915442854294,null,null,null,"If = 1 only FSU and FSE is calculated"]
[null,{"$f":"IF(L63=\"\",\"\",L63)","v":64},1,{"$f":"IF(G63<>\"\",SQRT($J63^2+G63^2),\"\")","v":104.56576936578276},{"$f":"IF(H63<>\"\",SQRT($J63^2+H63^2),\"\")","v":104.56576936578276},104.56576936578276,{"$f":"IF(O63<>\"\",SQRT($T$14)*O63,\"\")","v":103.43255995730117},{"$f":"IF(P63<>\"\",SQRT($T$14)*P63,\"\")","v":103.43255995730117},103.43255995730117,{"$f":"IF(O63=\"\",\"\",100*SQRT($T$15*R63))","v":15.35270867753869},{"$f":"IF(R62=\"\",\"\",100*SQRT($T$15*R62))","v":21.570076142916875},64,8,1,103.43255995730117,103.43255995730117,103.43255995730117,3.3672237676767396,0.10634765625000006,107.39915442854294,null,"Vertical:",null,"No limit of length, but if > 16 graphs needs to be modified"]
[null,{"$f":"IF(L64=\"\",\"\",L64)","v":64},8,{"$f":"IF(G64<>\"\",SQRT($J64^2+G64^2),\"\")","v":15.43255771398557},18.425608944627761,38.996269715945616,{"$f":"IF(O64<>\"\",SQRT($T$14)*O64,\"\")","v":1.5678564532902073},10.188100963524791,35.846943914668728,15.35270867753869,null,64,1,8,1.5678564532902073,10.188100963524791,35.846943914668728,3.3672237676767396,0.10634765625000006,107.39915442854294,null,null,null,"If =1 FSU and FSE will be identical"]
[null,"",null,"","","","","","",""]
[null,"",null,{"$f":"IF(G66<>\"\",SQRT($J66^2+G66^2),\"\")","v":""},"","","","","",""]
[null,"",null,"","","","","","",""]
[null,"",null,"","","","","","","",{"$f":"IF(P68=\"\",\"\",100*SQRT($T$14*S68))","v":""}]
[null,"",null,"","","","","","","",{"$f":"IF(P69=\"\",\"\",100*SQRT($T$14*S69))","v":""},null,null,null,null,null,null,null,null,null,null,"Organization of data:"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Horizontal in columns, vertical in rows, classes in kmx rows within each vertical depth"]
[null,"Analyte 5","Analyte 5","aL:",{"$f":"IF(S73=\"\",\"\",S73)","v":""},null,"RSD(aL) %:",{"$f":"IF(T73=\"\",\"\",T73)","v":""}]
[null,null,null,"s(CSU) %",null,null,"s(SU) %",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Horizontal"]
[null,"N","Ni","Syst %","Strat %","Rand %","Syst %","Strat %","Rand %","s(FSU) %","s(FSE) %",null,null,null,null,null,null,null,null,null,null,"Vertical","Class",1,2,"…","hmx"]
[null,{"$f":"IF(L74=\"\",\"\",L74)","v":""},null,{"$f":"IF(G74<>\"\",SQRT($J74^2+G74^2),\"\")","v":""},{"$f":"IF(H74<>\"\",SQRT($J74^2+H74^2),\"\")","v":""},"",{"$f":"IF(O74<>\"\",SQRT($T$13)*O74,\"\")","v":""},"","",{"$f":"IF(O74=\"\",\"\",100*SQRT($T$15*R74))","v":""},{"$f":"IF(R73=\"\",\"\",100*SQRT($T$15*R73))","v":""},null,null,null,null,null,null,null,null,null,null,1,1,"B100","C100","…","…"]
[null,{"$f":"IF(L75=\"\",\"\",L75)","v":""},null,{"$f":"IF(G75<>\"\",SQRT($J75^2+G75^2),\"\")","v":""},"","","","","","",null,null,null,null,null,null,null,null,null,null,null,1,2,"B101","C101","…","…"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,1,"…","…","…","…","…"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,1,"kmx","…","…","…","…"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,2,1,"…","…","…","…"]
[null,"",null,"","","","","","","",{"$f":"IF(P79=\"\",\"\",100*SQRT($T$14*S79))","v":""},null,null,null,null,null,null,null,null,null,null,2,2,"…","…","…","…"]
[null,"",null,"","","","","","","",{"$f":"IF(P80=\"\",\"\",100*SQRT($T$14*S80))","v":""},null,null,null,null,null,null,null,null,null,null,2,"…","…","…","…","…"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,"kmx","…","…","…","…"]
[null,"Analyte 6",0,"aL:",{"$f":"IF(S84=\"\",\"\",S84)","v":""},null,"RSD(aL) %:",{"$f":"IF(T84=\"\",\"\",T84)","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,"…",1,"…","…","…","…"]
[null,null,null,"s(CSU) %",null,null,"s(SU) %",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"…",2,"…","…","…","…"]
[null,"N","Ni","Syst %","Strat %","Rand %","Syst %","Strat %","Rand %","s(FSU) %","s(FSE) %",null,null,null,null,null,null,null,null,null,null,"…","…","…","…","…","…"]
[null,{"$f":"IF(L85=\"\",\"\",L85)","v":""},null,{"$f":"IF(G85<>\"\",SQRT($J85^2+G85^2),\"\")","v":""},{"$f":"IF(H85<>\"\",SQRT($J85^2+H85^2),\"\")","v":""},"",{"$f":"IF(O85<>\"\",SQRT($T$13)*O85,\"\")","v":""},"","",{"$f":"IF(O85=\"\",\"\",100*SQRT($T$15*R85))","v":""},{"$f":"IF(R84=\"\",\"\",100*SQRT($T$15*R84))","v":""},null,null,null,null,null,null,null,null,null,null,"…","kmx","…","…","…","…"]
[null,{"$f":"IF(L86=\"\",\"\",L86)","v":""},null,{"$f":"IF(G86<>\"\",SQRT($J86^2+G86^2),\"\")","v":""},"","","","","","",null,null,null,null,null,null,null,null,null,null,null,"vmx",1,"…","…","…","…"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,"vmx",2,"…","…","…","…"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,"vmx","…","…","…","…","…"]
[null,"",null,"","","","","","","",null,null,null,null,null,null,null,null,null,null,null,"vmx","kmx","…","…","…","…"]
[null,"",null,"","","","","","","",{"$f":"IF(P90=\"\",\"\",100*SQRT($T$14*S90))","v":""}]
[null,"",null,"","","","","","","",{"$f":"IF(P91=\"\",\"\",100*SQRT($T$14*S91))","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Input are proportion of each class, x(k) = 0 to 1"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"The sum of x(k) in each box must be 1"]
[null,null,null,null,null,"NOTE: The input data must be average concentrations unaffected by FSE",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Error in concentrations are shown in cell AI33"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"NOTE: The input data must be average concentrations unaffected by FSE"]
["Table 1",null,null,null,null,"s2(CSU) = s2(FSU) + s2(SU) ",null,null,"In this spreadsheet s(SU) = s(GSE)"]
[]
["INPUT DATA IN THE WHITE CELLS starting in B100:",null,null,null,null,"(Row and Column no. 1, 2, 3… is only for information)"]
[null,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144]
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[2,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
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