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{"sheet":"DFT","index":0,"n_rows":277,"n_cols":14,"rows_kept":277,"cut":false,"hidden":false,"merged":[]}
["SU_2D_3.0",null,null,null,null,null,null,null,null,null,null,null,null,"Author: Bo Svensmark, svensmark@plen.ku.dk, Analytical Chemistry, ECP, PLEN, University of Copenhagen, 2021"]
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[null,null,null,null,null,null,null,null,null,null,"Discrete Fourier Transform  (DFT) analysis of data"]
[]
["x or z","f(x) H","f(x) V","F(Ni) H","F(Ni) V",null,null,null,null,null,"The 'frequency scale (z)' is number of increments i.e. cycles per lot length"]
[0,0.97704600799999997,0.63918534199999999,7954.2650590798794,5455.6151432998922,null,null,null,null,null,"z = 0 is the mean"]
[1,0.953441918,0.619781315,8.3537581139706649,4.8670967431873269,120]
[2,0.93203974300000003,0.60275601700000003,18.148982703767679,17.210623839658489,null,null,null,null,null,"If you want to enter or change input data in column B&C:"]
[3,0.91371360300000004,0.58915985100000001,8.3922213944766906,13.554656551161051]
[4,0.89915068799999998,0.58003037800000001,7.1863141435496152,4.3074165160041407,null,null,null,null,null,"Only input in the white cells, column B and C"]
[5,0.88883363400000004,0.57636280299999998,4.4842796883606892,5.9935244201577529]
[6,0.88303526899999996,0.57907910600000001,4.5973373550926961,4.6072774070807441,null,null,null,null,null,"1) Input data in cell B22:C22 and down (remember to clear old data)"]
[7,0.88182465099999996,0.58899285800000001,4.1502551924930264,2.4278965108262653]
[8,0.88508281899999997,0.60676762100000003,3.8925111423642664,1.1632677244313776,null,null,null,null,null,"2) Press DFT to calculate DFT"]
[9,0.89252626400000001,0.63286846200000002,3.5646297295886691,0.85987348207051206]
[10,0.90373605999999995,0.66750828600000001,3.0418976997174934,1.0476502183467549]
[11,0.91819062500000004,0.71059298999999998,2.4144519104547104,1.1004216403073124]
[12,0.93530031300000005,0.76167155200000003,1.8879645153035578,1.0441045262365152]
[13,0.95444234100000003,0.81989850600000003,1.5068281492525875,0.96245939745639486]
[14,0.97499483200000003,0.88401666300000004,1.2393025152090855,0.88696821298762396]
[15,0.99636904500000001,0.95236700699999999,1.0402959192133105,0.82132007261298545]
[16,1.018038926,1.0229306359999999,0.88716676715530929,0.76337899391881325]
[17,1.0395671390000001,1.0934043769999999,0.78345741949060677,0.71215349336298717]
[18,1.0606265239999999,1.1613078429999999,0.73443450477160011,0.66853160240664722]
[19,1.081015726,1.2241156419999999,0.72160230659663827,0.63424112755211526]
[20,1.100667469,1.2794047559999999,0.71139704412443183,0.60851404847160351]
[21,1.1196479100000001,1.325004464,0.68208019742515791,0.58653470373329708]
[22,1.1381456670000001,1.3591348670000001,0.63356637369082713,0.56360371678529797]
[23,1.156449697,1.380520543,0.5818511695665356,0.53884403531652336]
[24,1.174916104,1.3884679660000001,0.54638252647401553,0.51450519615379664]
[25,1.1939252730000001,1.3828989490000001,0.53345973859345708,0.49393900846270827]
[26,1.2138321000000001,1.364337025,0.53153763606772331,0.47902219967789195]
[27,1.234913511,1.33384875,0.52511295570470962,0.46797225848653135]
[28,1.2573184479999999,1.29294669,0.50709471227867242,0.45703499933854097]
[29,1.281025981,1.243464796,0.48075681888283295,0.44401473708253719]
[30,1.3058168509999999,1.187419352,0.45558997564708736,0.42932606424798181]
[31,1.331262586,1.12686953,0.4393261233511277,0.41517393373602862]
[32,1.3567344450000001,1.0637906669999999,0.43216590234654573,0.40402915421365487]
[33,1.381432057,0.999970994,0.42897416820923412,0.39647407296074644]
[34,1.4044291149999999,0.93693898200000003,0.42449208992187565,0.3907003967378157]
[35,1.424731263,0.87592441099999996,0.41617385159580478,0.38444724113042766]
[36,1.441339777,0.81785212600000001,0.40459197559034521,0.3766275484408993]
[37,1.45331408,0.76336389100000002,0.3918681129304229,0.3676190492662863]
[38,1.4598265880000001,0.71286113299999998,0.38017043892621177,0.35897286193590688]
[39,1.4602049239999999,0.66655988200000005,0.37166987104437255,0.35228733456533134]
[40,1.453958673,0.62454909999999997,0.36781291592282656,0.34787764759783762]
[41,1.4407904039999999,0.58684446499999998,0.36765754348810026,0.34477745333773374]
[42,1.4205930389999999,0.55343157600000004,0.36781006181856923,0.3416137789290391]
[43,1.393437386,0.52429489100000004,0.36431236138598749,0.33731657766939571]
[44,1.3595546080000001,0.49943124700000002,0.35535467736071463,0.33177532674647403]
[45,1.319318269,0.47884917300000002,0.34337229200071989,0.32604032164929037]
[46,1.273229623,0.46255705899999999,0.33416410332003382,0.32152924001055971]
[47,1.221908158,0.45054444500000002,0.33247768690115953,0.31900718723987526]
[48,1.166087493,0.44276115100000002,0.337501937839848,0.31810167942250234]
[49,1.10661498,0.43909872500000002,0.34301080138879364,0.31742559455622554]
[50,1.0444520100000001,0.43937783800000002,0.34237995229859747,0.31548583963922094]
[51,0.98067154700000003,0.44334403,0.33375313716309485,0.31189896341454659]
[52,0.91644954999999995,0.450672776,0.32154479887822096,0.30774137287639863]
[53,0.85304787999999998,0.46098340399999999,0.31368754491752304,0.30476271050096554]
[54,0.79178761900000005,0.47386017400000002,0.31551108130663408,0.30409078758001962]
[55,0.73401321100000005,0.48887787700000002,0.32447078781503025,0.30524710755423951]
[56,0.681049185,0.50562876599999995,0.33229229485081918,0.30640710781852476]
[57,0.63415214600000003,0.52374747899999996,0.33222072002478215,0.30588601010884903]
[58,0.59446120099999999,0.54293084800000002,0.3236629504475097,0.30348477187848882]
[59,0.56295004299999996,0.56295004299999996,0.31243788183706533,0.30064523883868727]
[60,0.54038366400000004,0.58365329499999996,0.30723516199999978,0.2993818569999997]
[61,0.52728117100000005,0.60495846499999995]
[62,0.52388684299999999,0.62683571800000004]
[63,0.53015050900000005,0.64928191800000001]
[64,0.54571855599999997,0.67228890100000005]
[65,0.56993619299999998,0.695808804]
[66,0.60186298999999999,0.71972053800000002]
[67,0.64030294700000001,0.743801343]
[68,0.68385045300000002,0.76770747900000003]
[69,0.73095259999999995,0.79096751099999996]
[70,0.77998686800000006,0.81299070299999998]
[71,0.82935103799999998,0.83309165100000004]
[72,0.87755965700000005,0.85053056599999999]
[73,0.92333880700000004,0.86456675000000005]
[74,0.96570888099999996,0.87452090299999996]
[75,1.0040441550000001,0.87984021300000004]
[76,1.0380985970000001,0.880158997]
[77,1.0679899740000001,0.87534716199999996]
[78,1.094130636,0.86553920299999998]
[79,1.117129349,0.85113796500000005]
[80,1.137652203,0.83278646199999995]
[81,1.156419029,0.81131701300000003]
[82,1.1738438769999999,0.78767031700000001]
[83,1.190096126,0.76294169499999998]
[84,1.205044301,0.73821447600000001]
[85,1.21836765,0.71446645600000003]
[86,1.229535676,0.692674927]
[87,1.2380534169999999,0.67381163499999996]
[88,1.2436094559999999,0.65889852699999996]
[89,1.2462221060000001,0.64906561900000004]
[90,1.2463218739999999,0.64558171600000003]
[91,1.244738117,0.64982829600000003]
[92,1.2425731179999999,0.66319392700000002]
[93,1.240969126,0.68688015000000002]
[94,1.240800439,0.72162794200000002]
[95,1.2423480250000001,0.76739517800000001]
[96,1.245031118,0.82303765500000003]
[97,1.2472711729999999,0.88606534599999998]
[98,1.246544533,0.952554393]
[99,1.23790168,1.017285733]
[100,1.2187470030000001,1.0724403220000001]
[101,1.204931755,1.11258726]
[102,1.190729809,1.131472526]
[103,1.20097276,1.1315608210000001]
[104,1.2063998650000001,1.10135026]
[105,1.2371796269999999,1.045658252]
[106,1.3016535469999999,0.96837921699999996]
[107,1.402126446,0.87557633000000001]
[108,1.5313133670000001,0.77446009699999996]
[109,1.671089829,0.67206104899999997]
[110,1.7946016220000001,0.57402923800000005]
[111,1.8718991629999999,0.483910642]
[112,1.8776911629999999,0.403092485]
[113,1.7986339899999999,0.33135746799999999]
[114,1.6374443780000001,0.26775577499999997]
[115,1.4122476559999999,0.211409453]
[116,1.151463178,0.16195189400000001]
[117,0.88625098400000002,0.119518878]
[118,0.64327132099999995,8.4424453999999996E-2]
[119,0.43999292400000001,5.6764990000000001E-2]
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{"sheet":"Example Figur 18","index":1,"n_rows":218,"n_cols":131,"rows_kept":218,"cut":false,"hidden":false,"merged":[[0,3,0,4]]}
[{"$f":"DFT!A1","v":"SU_2D_3.0"},null,"Run at:",{"$f":"IF(Y23<>\"\",Y23,\"Please update SU\")","v":"2022-03-13T14:28:35"},null,"Runtime:",{"$f":"IF(Z23<>\"\",Z23,\"Not run\")","v":115},"s","N:",{"$f":"AA23","v":120},"Mean:",{"$f":"AB23","v":0.86510927005111093},"RSD %",{"$f":"AC23","v":46.049979621629021},null,{"$f":"DFT!N1","v":"Author: Bo Svensmark, svensmark@plen.ku.dk, Analytical Chemistry, ECP, PLEN, University of Copenhagen, 2021"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Manual:",null,null,null,null,null,null,null,null,"Table 2:","The values inside the table is the number of boxes in an increment"]
[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,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,"If the number of increments is not a divisor in N, the combination is not allowed, and the cell will be blank"]
["Title:",null,"Example of calculation of SU for Fig. 6 in: Extensions to the Theory of Sampling 2, Proceedings to WCBS10, 2022",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Table 3",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ratio: Sampling ratio = M(Lot)/M(Sample)"]
["Comments:",null,"SU for a square 2D case",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Monte Carlo runs",null,4000,null,null,null,null,null,null,null,null,null,null,null,null,"1) Enter the input data f(x,y) in Table 1 starting in cell D91"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Table 2",null,null,null,null,null,null,null,null,"INPUT/OUTPUT for Macros - don't change!",null,null,null,null,null,null,null,null,null,null,"x-and y-dimensions must be identical (Max 255 x 255)",null,null,null,null,null,null,"In % of RSD(aL)?",null,"Show the relative sampling standard deviation in % of aL, RSD % : No"]
[null,null,"To make your own estimates, start with the next Sheet SU-2D",null,null,null,null,null,"Manual for use in cell AH1",null,null,null,null,null,null,"ni, no of","Ratio",null,null,null,null,null,null,null,"Number of","Ratio",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Show the relative sampling standard deviation in % of the standard derivation of the lot: RSD % vs RSD(aL): Yes"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"increments",0,2,4,8,12,16,null,null,"increments",{"$f":"IF(Q7<>\"\",Q7,\"\")","v":0},2,4,8,12,16,null,null,null,"2) Enter sampling ratios and number of increments ni in Table 2"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,{"$f":"IF($P8=\"\",\"\",IF(Q$7=\"\",\"\",IF(Q$7=0,IF(MOD($Z$16/SQRT($P8),1)=0,$Z$16/(SQRT($P8)),-INT($Z$16/(SQRT($P8)))),IF(MOD($Z$16/SQRT(Q$7*$P8),1)=0,$Z$16/SQRT(Q$7*$P8),-INT($Z$16/SQRT(Q$7*$P8))))))","v":60},-42,30,-21,-17,15,{"$f":"IF(P8=\"\",\"\",IF(MOD(SQRT(P8),1)=0,\"\",\"ni is not square\"))","v":""},null,{"$f":"IF(P8<>\"\",P8,\"\")","v":4},{"$f":"IF(Q8<>\"\",$Y8,\"\")","v":4},4,4,4,4,4,null,null,null,null,"ratio = 0 means Point selection, results marked PS",null,null,null,null,null,null,"Table 3:","PS:","PS: Point selection, i.e. M(Sample) << M(Lot)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9,40,-28,20,-14,-11,10,{"$f":"IF(P9=\"\",\"\",IF(MOD(SQRT(P9),1)=0,\"\",\"ni is not square\"))","v":""},null,9,9,9,9,9,9,9,null,null,null,null,"Rules for ni and ratio, see below. ni must be a square number",null,null,null,null,null,null,null,"Syst %:","Relative standard deviation in % for random systematic sampling"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,16,30,-21,15,-10,-8,-7,"",null,16,16,16,16,16,16,16,null,null,null,null,"If ni and/or ratio is not ok, the table value will be negative",null,null,null,null,null,null,null,"Strat%:","Relative standard deviation in % for stratified random sampling"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,25,24,-16,12,-8,-6,6,"",null,25,25,25,25,25,25,25,null,null,null,null,"There must be no gaps in the input rows and colums",null,null,null,null,null,null,null,"Rand%:","Relative standard deviation in % for random sampling"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",{"$f":"IF($P12=\"\",\"\",IF(S$7=\"\",\"\",IF(S$7=0,IF(MOD($Z$16/SQRT($P12),1)=0,$Z$16/(SQRT($P12)),-INT($Z$16/(SQRT($P12)))),IF(MOD($Z$16/SQRT(S$7*$P12),1)=0,$Z$16/SQRT(S$7*$P12),-INT($Z$16/SQRT(S$7*$P12))))))","v":""},"","","","",null,"","","","","","","",null,null,null,null,"Unused entries for ratio and ni must be blank"]
[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,null,null,null,"Variogram graph: Variograms  shows the degree of autocorrelation as function of distance between increments"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","","","","","","",null,"","","","","","","",null,null,null,"3) Enter number of runs for Monte Carlo simulation in Table 3",null,null,null,null,null,null,null,null,"Vario HC: ","Variogram at the centre horizontally"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","","","","","","",null,"","","","","","","",null,null,null,null,"MC = 4000 is a reasonable number",null,null,null,null,null,null,null,"Vario VC","Variogram at the centre vertically"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"imx",{"$f":"COUNT(D91:D346)","v":120},{"$f":"COUNT(E91:E218)","v":120}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"In % of  RSD(aL)?",null,null,null,"Runs",{"$f":"COUNT(Z8:AE15)+COUNT(Z7:AE7)","v":30},null,null,null,null,null,null,null,null,"4) Press the button Update SU",null,null,null,null,null,null,null,"Graphs of results:"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Yes/no","yes",null,null,null,null,null,null,null,null,null,null,null,null,null,"The progress can be seen in the lower left corner of the screen",null,null,null,null,null,null,null,"s1/sqr(Ni):","The line, if the sampling standard deviation decreases proportional to 1/SqareRoot(number of increments)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Divisor",{"$f":"IF(V18=\"Yes\",N1/100,1)","v":0.46049979621629022},null,null,null,null,null,null,null,null,null,null,null,null,null,"If it takes too ling time press ESC and the End",null,null,null,null,null,null,null,"s1/Ni:","The line, if the sampling standard deviation decreases proportional to 1/number of increments"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(L1<>0,IF(AVERAGE(D91:EA218)<>L1,\"New data: Please Update SU\",\"\"),\"\")","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"5) Analyse the results"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Results can be shown as RSD % or as RSD % in % of RSD(aL)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Table 4 SU",null,null,null,null,null,null,null,null,"2022-03-13T14:28:35",115,120,0.86510927005111093,46.049979621629021]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ratio","jmx","Ni","Syst %","Strat %","Rand %","s1/sq(Ni)","s1/Ni",null,null,null,null,null,null,null,null,null,null,null,"6) Press FFT to see a FFT-analysis of the data along the center of x and y."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Y25<>\"\",Y25,\"\")","v":"PS"},{"$f":"IF(Z25<>\"\",Z25,\"\")","v":1},1,{"$f":"IF(AB25<>\"\",AB25/$V$19,\"\")","v":100.00000000000115},100.00000000000115,100.00000000000115,{"$f":"IF(AA25<>\"\",S$25/SQRT(AA25),\"\")","v":100.00000000000115},{"$f":"IF(AA25<>\"\",S$25/AA25,\"\")","v":100.00000000000115},{"$f":"IF(AE25=\"\",\"\",IF(AE25=$AA$23,\"\",AE25))","v":""},"PS",1,1,46.049979621629554,46.049979621629554,46.049979621629554,120]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Y26<>\"\",Y26,\"\")","v":"PS"},1,4,36.481445949605629,42.550767279492931,50.356555063526599,{"$f":"IF(AA26<>\"\",S$25/SQRT(AA26),\"\")","v":50.000000000000576},{"$f":"IF(AA26<>\"\",S$25/AA26,\"\")","v":25.000000000000288},{"$f":"IF(AE26=\"\",\"\",IF(AE26=$AA$23,\"\",AE26))","v":""},"PS",1,4,16.799698425469,19.594619661053283,23.189183344908397,120,null,null,null,"7) Save the workbook under a new name: Save As…"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"PS",1,9,21.087330840572868,24.959360863374595,33.472007301691818,33.333333333333719,11.111111111111239,"","PS",1,9,9.710711554829297,11.49378059127285,15.413852541379262,120]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"PS",1,16,17.251898192613375,16.778787730282268,25.088438789711823,25.000000000000288,6.2500000000000719,"","PS",1,16,7.9444956020426449,7.7266283305513754,11.553220950047166,120,null,null,null,"8) To continue: Change input and try again - or create a new sheet"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"PS",1,25,11.854771216185032,12.765193881066743,19.951364653422914,20.000000000000231,4.0000000000000462,"","PS",1,25,5.4591197292439499,5.8783691808926699,9.1875993571381471,120]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","","",null,null,null,null,null,null,null,null,null,null,"9) To create a new sheet press the New Sheet button"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","","",null,null,null,null,null,null,null,null,null,null,null,"The new sheet will contain a copy of data in Table 1 & 2"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,{"$f":"IF(AB32<>\"\",AB32,\"\")","v":""},"","","","",""]
[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,null,null,null,null,null,null,null,null,null,"10 Troubleshooting"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ratio","jmx","Ni","Syst %","Strat %","Rand %","s1/sq(Ni)","s1/Ni",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,null,null,null,null,null,null,null,null,{"$f":"IF(Y35<>\"\",Y35,\"\")","v":1.99},{"$f":"IF(Z35<>\"\",Z35,\"\")","v":85},1,{"$f":"IF(AB35<>\"\",AB35/$V$19,\"\")","v":23.207231538172138},23.207231538172138,23.207231538172138,{"$f":"IF(AA35<>\"\",S$25/SQRT(AA35),\"\")","v":100.00000000000115},{"$f":"IF(AA35<>\"\",$S$25/AA35,\"\")","v":100.00000000000115},{"$f":"IF(AE35=\"\",\"\",IF(AE35=$AA$23,\"\",AE35))","v":""},1.99,85,1,10.686925394072533,10.686925394072533,10.686925394072533,120,null,null,null,null,"Press Debug in the pop up window"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Y36<>\"\",Y36,\"\")","v":2},42,4,8.6028120303901581,25.15191799652338,22.305214722313334,{"$f":"IF(AA36<>\"\",S$25/SQRT(AA36),\"\")","v":50.000000000000576},{"$f":"IF(AA36<>\"\",$S$25/AA36,\"\")","v":25.000000000000288},{"$f":"IF(AE36=\"\",\"\",IF(AE36=$AA$23,\"\",AE36))","v":""},2,42,4,3.9615931868817178,11.58245311184786,10.271546834185887,120,null,null,null,null,"Look at the code and try to understand the problem"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,28,9,4.7511337639980402,16.673649500765311,14.519665800589205,33.333333333333719,11.111111111111239,"",2,28,9,2.1878961301174336,7.6782121972842745,6.6863031422999679,120,null,null,null,null,"Press the reset button (blue square in the tools) and try to fix the"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,21,16,4.8232013111851453,11.702392965772464,10.973081462385927,25.000000000000288,6.2500000000000719,"",2,21,16,2.221083220910903,5.3889495759811679,5.0531017772934712,120,null,null,null,null,"error or go to the spreadsheet and fix the error"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,17,25,2.8967582317479108,8.5068412529182815,9.1539241854206388,20.000000000000231,4.0000000000000462,"",2,17,25,1.3339565754077742,3.9173986634131999,4.2153802219655745,120]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","","",null,null,null,null,null,null,null,null,null,null,"N:","Data dimension, a N x N matrix"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","","",null,null,null,null,null,null,null,null,null,null,"ni:","No of increments"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"R15","v":""},{"$f":"AA15","v":""},null,null,null,null,"","","",null,null,null,null,null,null,null,null,null,null,"ratio:","Sampling ratio = M(Lot)/M(Sample)"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ratio","jmx","Ni","Syst %","Strat %","Rand %","s1/sq(Ni)","s1/Ni",null,null,null,null,null,null,null,null,null,null,"Rules for ni and ratio:"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Y45<>\"\",Y45,\"\")","v":4},{"$f":"IF(Z45<>\"\",Z45,\"\")","v":60},1,{"$f":"IF(AB45<>\"\",AB45/$V$19,\"\")","v":43.604195625660395},43.604195625660395,43.604195625660395,{"$f":"IF(AA45<>\"\",S$25/SQRT(AA45),\"\")","v":100.00000000000115},{"$f":"IF(AA45<>\"\",$S$25/AA45,\"\")","v":100.00000000000115},{"$f":"IF(AE45=\"\",\"\",IF(AE45=$AA$23,\"\",AE45))","v":""},4,60,1,20.079723199791864,20.079723199791864,20.079723199791864,120,null,null,null,"ni must be a square number > 1:    4, 9, 16, …"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Y46<>\"\",Y46,\"\")","v":4},30,4,14.181728490212777,29.914574922091276,28.907558788095077,{"$f":"IF(AA46<>\"\",S$25/SQRT(AA46),\"\")","v":50.000000000000576},{"$f":"IF(AA46<>\"\",$S$25/AA46,\"\")","v":25.000000000000288},{"$f":"IF(AE46=\"\",\"\",IF(AE46=$AA$23,\"\",AE46))","v":""},4,30,4,6.5306830797377406,13.775655655519978,13.311924931028212,120,null,null,null,"Sqrt(ni) should be a divisor in the length of the data"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,20,9,7.5863373281928057,19.418523143692948,19.874943675055704,33.333333333333719,11.111111111111239,"",4,20,9,3.4935067936608228,8.9422259504919186,9.1524075121733972,120,null,null,null,null,"If not, the data is truncated to a correct N"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,15,16,7.8083970088569501,13.273906220304776,14.778484811925164,25.000000000000288,6.2500000000000719,"",4,15,16,3.5957652313545156,6.1126311094444965,6.8054892442770782,120,null,null,null,"Sqrt(ni*ratio) should be a divisor in the length of the (truncated) data"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,12,25,4.5825731044348181,9.7632202274051387,12.053438435667919,20.000000000000231,4.0000000000000462,"",4,12,25,2.1102739807384863,4.4959609251348294,5.5506059433306767,120,null,null,null,null,"If not, the ratio will be corrected"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","","",null,null,null,null,null,null,null,null,null,null,"If the rules for ni and ratio is not followed the numbers in table 2 will be negative"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","","",null,null,null,null,null,null,null,null,null,null,"and the corrected values for N  and ratio is shown in Table 3 (after calulations)"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ratio","jmx","Ni","Syst %","Strat %","Rand %","s1/sq(Ni)","s1/Ni"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Y55<>\"\",Y55,\"\")","v":8.16},{"$f":"IF(Z55<>\"\",Z55,\"\")","v":42},1,{"$f":"IF(AB55<>\"\",AB55/$V$19,\"\")","v":59.9714385251525},59.9714385251525,59.9714385251525,{"$f":"IF(AA55<>\"\",S$25/SQRT(AA55),\"\")","v":100.00000000000115},{"$f":"IF(AA55<>\"\",$S$25/AA55,\"\")","v":100.00000000000115},{"$f":"IF(AE55=\"\",\"\",IF(AE55=$AA$23,\"\",AE55))","v":""},8.16,42,1,27.616835219630502,27.616835219630502,27.616835219630502,120]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Y56<>\"\",Y56,\"\")","v":8.1999999999999993},21,4,19.119400146919304,32.338893538815405,35.74003879983993,{"$f":"IF(AA56<>\"\",S$25/SQRT(AA56),\"\")","v":50.000000000000576},{"$f":"IF(AA56<>\"\",$S$25/AA56,\"\")","v":25.000000000000288},{"$f":"IF(AE56=\"\",\"\",IF(AE56=$AA$23,\"\",AE56))","v":""},8.1999999999999993,21,4,8.8044798714340491,14.892053884484799,16.458280584088595,120]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.1999999999999993,14,9,10.271859612234673,20.914370098077029,24.541225498987952,33.333333333333719,11.111111111111239,"",8.1999999999999993,14,9,4.7301892581964085,9.6310631681565457,11.301229341181978,120]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.4,11,16,10.161181524208022,14.669715213342867,18.306246666530981,25.000000000000288,6.2500000000000719,"",7.4,11,16,4.6792220212145272,6.7554008662954024,8.4300228594226585,120]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9,8,25,6.8859989886764543,11.100707892239805,15.574972228286335,20.000000000000231,4.0000000000000462,"",9,8,25,3.1710011310310877,5.1118737222329953,7.1722715372002366,120]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",""]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ratio","jmx","Ni","Syst %","Strat %","Rand %","s1/sq(Ni)","s1/Ni"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Y65<>\"\",Y65,\"\")","v":11.76},{"$f":"IF(Z65<>\"\",Z65,\"\")","v":35},1,{"$f":"IF(AB65<>\"\",AB65/$V$19,\"\")","v":66.522863567369697},66.522863567369697,66.522863567369697,{"$f":"IF(AA65<>\"\",S$25/SQRT(AA65),\"\")","v":100.00000000000115},{"$f":"IF(AA65<>\"\",$S$25/AA65,\"\")","v":100.00000000000115},{"$f":"IF(AE65=\"\",\"\",IF(AE65=$AA$23,\"\",AE65))","v":""},11.76,35,1,30.633765116497823,30.633765116497823,30.633765116497823,120]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Y66<>\"\",Y66,\"\")","v":12.5},17,4,21.91905510665001,33.261627929681993,37.932771445000981,{"$f":"IF(AA66<>\"\",S$25/SQRT(AA66),\"\")","v":50.000000000000576},{"$f":"IF(AA66<>\"\",$S$25/AA66,\"\")","v":25.000000000000288},{"$f":"IF(AE66=\"\",\"\",IF(AE66=$AA$23,\"\",AE66))","v":""},12.5,17,4,10.093720409865965,15.316972883440624,17.468033520342065,120]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11.1,12,9,11.514943269581842,21.12026373295631,26.369113724428978,33.333333333333719,11.111111111111239,"",11.1,12,9,5.3026290290845806,9.7258771450606858,12.142971496503726,120]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11.1,9,16,11.538245024920208,15.308536199729089,19.8450062912828,25.000000000000288,6.2500000000000719,"",11.1,9,16,5.3133594826693802,7.049577800344947,9.1386213530467266,120]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11.8,7,25,7.6060700167748037,11.29411207259616,16.520759636907311,20.000000000000231,4.0000000000000462,"",11.8,7,25,3.5025936927316321,5.2009363078744748,7.6078064461341288,120]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",""]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ratio","jmx","Ni","Syst %","Strat %","Rand %","s1/sq(Ni)","s1/Ni"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Y75<>\"\",Y75,\"\")","v":16},{"$f":"IF(Z75<>\"\",Z75,\"\")","v":30},1,{"$f":"IF(AB75<>\"\",AB75/$V$19,\"\")","v":71.249792561276763},71.249792561276763,71.249792561276763,{"$f":"IF(AA75<>\"\",S$25/SQRT(AA75),\"\")","v":100.00000000000115},{"$f":"IF(AA75<>\"\",$S$25/AA75,\"\")","v":100.00000000000115},{"$f":"IF(AE75=\"\",\"\",IF(AE75=$AA$23,\"\",AE75))","v":""},16,30,1,32.810514954920897,32.810514954920897,32.810514954920897,120]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Y76<>\"\",Y76,\"\")","v":16},15,4,23.495761916430823,33.778276581352529,40.369861064801015,{"$f":"IF(AA76<>\"\",S$25/SQRT(AA76),\"\")","v":50.000000000000576},{"$f":"IF(AA76<>\"\",$S$25/AA76,\"\")","v":25.000000000000288},{"$f":"IF(AE76=\"\",\"\",IF(AE76=$AA$23,\"\",AE76))","v":""},16,15,4,10.819793574462867,15.554889482250328,18.590312793620818,120]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,16,10,9,13.048214530363389,21.896752973941599,27.805840198007196,33.333333333333719,11.111111111111239,"",16,10,9,6.0087001322187774,10.083450282298553,12.804583744805045,120]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,14.1,8,16,12.276291515014542,15.559276389518558,21.013577398010444,25.000000000000288,6.2500000000000719,"",14.1,8,16,5.6532297409559691,7.1650436066462317,9.6767481095590515,120]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,16,6,25,8.3508371848207137,11.439553347839034,17.617042833789647,20.000000000000231,4.0000000000000462,"",16,6,25,3.8455588218453576,5.2679119854852559,8.1126446348937886,120]
[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,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,null,null,null,"","",""]
[]
["Table 1:     Concentrations"]
[]
["Horizontal x ®"]
[]
["Vertical y ¯"]
[]
[null,"Vario Horizontal Center","Vario Vertical Center",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]
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[127]
[128]

{"sheet":"SU-2D","index":2,"n_rows":218,"n_cols":131,"rows_kept":218,"cut":false,"hidden":false,"merged":[[0,3,0,4]]}
[{"$f":"DFT!A1","v":"SU_2D_3.0"},null,"Run at:",{"$f":"IF(Y23<>\"\",Y23,\"Please update SU\")","v":"Please update SU"},null,"Runtime:",{"$f":"IF(Z23<>\"\",Z23,\"Not run\")","v":"Not run"},"s","N:",{"$f":"AA23","v":0},"Mean:",{"$f":"AB23","v":0},"RSD %",{"$f":"AC23","v":0},null,{"$f":"DFT!N1","v":"Author: Bo Svensmark, svensmark@plen.ku.dk, Analytical Chemistry, ECP, PLEN, University of Copenhagen, 2021"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Manual:",null,null,null,null,null,null,null,null,"Table 2:","The values inside the table is the number of boxes in an increment"]
[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,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,"If the number of increments is not a divisor in N, the combination is not allowed, and the cell will be blank"]
["Title:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Table 3",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ratio: Sampling ratio = M(Lot)/M(Sample)"]
["Comments:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Monte Carlo runs",null,4000,null,null,null,null,null,null,null,null,null,null,null,null,"1) Enter the input data f(x,y) in Table 1 starting in cell D91"]
[null,null,"Table 1-2-3 contains data from the example - please overwrite or delete (and delete this text)",null,null,null,null,null,null,null,null,null,null,null,null,"Table 2",null,null,null,null,null,null,null,null,"INPUT/OUTPUT for Macros - don't change!",null,null,null,null,null,null,null,null,null,null,"x-and y-dimensions must be identical (Max 255 x 255)",null,null,null,null,null,null,"In % of RSD(aL)?",null,"Show the relative sampling standard deviation in % of aL, RSD % : No"]
[null,null,null,null,null,null,null,"Manual for use in cell AH1",null,null,null,null,null,null,null,"ni, no of","Ratio",null,null,null,null,null,null,null,"Number of","Ratio",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Show the relative sampling standard deviation in % of the standard derivation of the lot: RSD % vs RSD(aL): Yes"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"increments",0,2,4,8,12,16,null,null,"increments",{"$f":"IF(Q7<>\"\",Q7,\"\")","v":0},2,4,8,12,16,null,null,null,"2) Enter sampling ratios and number of increments ni in Table 2"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,{"$f":"IF($P8=\"\",\"\",IF(Q$7=\"\",\"\",IF(Q$7=0,IF(MOD($Z$16/SQRT($P8),1)=0,$Z$16/(SQRT($P8)),-INT($Z$16/(SQRT($P8)))),IF(MOD($Z$16/SQRT(Q$7*$P8),1)=0,$Z$16/SQRT(Q$7*$P8),-INT($Z$16/SQRT(Q$7*$P8))))))","v":60},-42,30,-21,-17,15,{"$f":"IF(P8=\"\",\"\",IF(MOD(SQRT(P8),1)=0,\"\",\"ni is not square\"))","v":""},null,{"$f":"IF(P8<>\"\",P8,\"\")","v":4},{"$f":"IF(Q8<>\"\",$Y8,\"\")","v":4},4,4,4,4,4,null,null,null,null,"ratio = 0 means Point selection, results marked PS",null,null,null,null,null,null,"Table 3:","PS:","PS: Point selection, i.e. M(Sample) << M(Lot)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9,40,-28,20,-14,-11,10,{"$f":"IF(P9=\"\",\"\",IF(MOD(SQRT(P9),1)=0,\"\",\"ni is not square\"))","v":""},null,9,9,9,9,9,9,9,null,null,null,null,"Rules for ni and ratio, see below. ni must be a square number",null,null,null,null,null,null,null,"Syst %:","Relative standard deviation in % for systematic sampling"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,16,30,-21,15,-10,-8,-7,"",null,16,16,16,16,16,16,16,null,null,null,null,"If ni and/or ratio is not ok, the table value will be negative",null,null,null,null,null,null,null,"Strat%:","Relative standard deviation in % for stratified random sampling"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,25,24,-16,12,-8,-6,6,"",null,25,25,25,25,25,25,25,null,null,null,null,"There must be no gaps in the input rows and colums",null,null,null,null,null,null,null,"Rand%:","Relative standard deviation in % for random sampling"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",{"$f":"IF($P12=\"\",\"\",IF(S$7=\"\",\"\",IF(S$7=0,IF(MOD($Z$16/SQRT($P12),1)=0,$Z$16/(SQRT($P12)),-INT($Z$16/(SQRT($P12)))),IF(MOD($Z$16/SQRT(S$7*$P12),1)=0,$Z$16/SQRT(S$7*$P12),-INT($Z$16/SQRT(S$7*$P12))))))","v":""},"","","","",null,"","","","","","","",null,null,null,null,"Unused entries for ratio and ni must be blank"]
[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,null,null,null,"Variogram graph: Variograms  shows the degree of autocorrelation as function of distance between increments"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","","","","","","",null,"","","","","","","",null,null,null,"3) Enter number of runs for Monte Carlo simulation in Table 3",null,null,null,null,null,null,null,null,"Vario HC: ","Variogram at the centre horizontally"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","","","","","","",null,"","","","","","","",null,null,null,null,"MC = 4000 is a reasonable number",null,null,null,null,null,null,null,"Vario VC","Variogram at the centre vertically"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"imx",{"$f":"COUNT(D91:D346)","v":120},{"$f":"COUNT(E91:E218)","v":120}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"In % of  RSD(aL)?",null,null,null,"Runs",{"$f":"COUNT(Z8:AE15)+COUNT(Z7:AE7)","v":30},null,null,null,null,null,null,null,null,"4) Press the button Update SU",null,null,null,null,null,null,null,"Graphs of results:"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Yes/no","yes",null,null,null,null,null,null,null,null,null,null,null,null,null,"The progress can be seen in the lower left corner of the screen",null,null,null,null,null,null,null,"s1/sqr(Ni):","The line, if the sampling standard deviation decreases proportional to 1/SqareRoot(number of increments)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Divisor",{"$f":"IF(V18=\"Yes\",N1/100,1)","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,"If it takes too ling time press ESC and the End",null,null,null,null,null,null,null,"s1/Ni:","The line, if the sampling standard deviation decreases proportional to 1/number of increments"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(L1<>0,IF(AVERAGE(D91:EA218)<>L1,\"New data: Please Update SU\",\"\"),\"\")","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"5) Analyse the results"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Results can be shown as RSD % or as RSD % in % of RSD(aL)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Table 4 SU"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ratio","jmx","Ni","Syst %","Strat %","Rand %","s1/sq(Ni)","s1/Ni",null,null,null,null,null,null,null,null,null,null,null,"6) Press FFT to see a FFT-analysis of the data along the center of x and y."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Y25<>\"\",Y25,\"\")","v":""},{"$f":"IF(Z25<>\"\",Z25,\"\")","v":""},null,{"$f":"IF(AB25<>\"\",AB25/$V$19,\"\")","v":""},"","",{"$f":"IF(AA25<>\"\",S$25/SQRT(AA25),\"\")","v":""},{"$f":"IF(AA25<>\"\",S$25/AA25,\"\")","v":""},{"$f":"IF(AE25=\"\",\"\",IF(AE25=$AA$23,\"\",AE25))","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Y26<>\"\",Y26,\"\")","v":""},"",null,"","","",{"$f":"IF(AA26<>\"\",S$25/SQRT(AA26),\"\")","v":""},{"$f":"IF(AA26<>\"\",S$25/AA26,\"\")","v":""},{"$f":"IF(AE26=\"\",\"\",IF(AE26=$AA$23,\"\",AE26))","v":""},null,null,null,null,null,null,null,null,null,null,"7) Save the workbook under a new name: Save As…"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","","",null,null,null,null,null,null,null,null,null,null,"8) To continue: Change input and try again - or create a new sheet"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","","",null,null,null,null,null,null,null,null,null,null,"9) To create a new sheet press the New Sheet button"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","","",null,null,null,null,null,null,null,null,null,null,null,"The new sheet will contain a copy of data in Table 1 & 2"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,{"$f":"IF(AB32<>\"\",AB32,\"\")","v":""},"","","","",""]
[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,null,null,null,null,null,null,null,null,null,"10 Troubleshooting"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ratio","jmx","Ni","Syst %","Strat %","Rand %","s1/sq(Ni)","s1/Ni",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,null,null,null,null,null,null,null,null,{"$f":"IF(Y35<>\"\",Y35,\"\")","v":""},{"$f":"IF(Z35<>\"\",Z35,\"\")","v":""},null,{"$f":"IF(AB35<>\"\",AB35/$V$19,\"\")","v":""},"","",{"$f":"IF(AA35<>\"\",S$25/SQRT(AA35),\"\")","v":""},{"$f":"IF(AA35<>\"\",$S$25/AA35,\"\")","v":""},{"$f":"IF(AE35=\"\",\"\",IF(AE35=$AA$23,\"\",AE35))","v":""},null,null,null,null,null,null,null,null,null,null,null,"Press Debug in the pop up window"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Y36<>\"\",Y36,\"\")","v":""},"",null,"","","",{"$f":"IF(AA36<>\"\",S$25/SQRT(AA36),\"\")","v":""},{"$f":"IF(AA36<>\"\",$S$25/AA36,\"\")","v":""},{"$f":"IF(AE36=\"\",\"\",IF(AE36=$AA$23,\"\",AE36))","v":""},null,null,null,null,null,null,null,null,null,null,null,"Look at the code and try to understand the problem"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","","",null,null,null,null,null,null,null,null,null,null,null,"Press the reset button (blue square in the tools) and try to fix the"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","","",null,null,null,null,null,null,null,null,null,null,null,"error or go to the spreadsheet and fix the error"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","","",null,null,null,null,null,null,null,null,null,null,"N:","Data dimension, a N x N matrix"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","","",null,null,null,null,null,null,null,null,null,null,"ni:","No of increments"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"R15","v":""},{"$f":"AA15","v":""},null,null,null,null,"","","",null,null,null,null,null,null,null,null,null,null,"ratio:","Sampling ratio = M(Lot)/M(Sample)"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ratio","jmx","Ni","Syst %","Strat %","Rand %","s1/sq(Ni)","s1/Ni",null,null,null,null,null,null,null,null,null,null,"Rules for ni and ratio:"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Y45<>\"\",Y45,\"\")","v":""},{"$f":"IF(Z45<>\"\",Z45,\"\")","v":""},null,{"$f":"IF(AB45<>\"\",AB45/$V$19,\"\")","v":""},"","",{"$f":"IF(AA45<>\"\",S$25/SQRT(AA45),\"\")","v":""},{"$f":"IF(AA45<>\"\",$S$25/AA45,\"\")","v":""},{"$f":"IF(AE45=\"\",\"\",IF(AE45=$AA$23,\"\",AE45))","v":""},null,null,null,null,null,null,null,null,null,null,"ni must be a square number > 1:    4, 9, 16, …"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Y46<>\"\",Y46,\"\")","v":""},"",null,"","","",{"$f":"IF(AA46<>\"\",S$25/SQRT(AA46),\"\")","v":""},{"$f":"IF(AA46<>\"\",$S$25/AA46,\"\")","v":""},{"$f":"IF(AE46=\"\",\"\",IF(AE46=$AA$23,\"\",AE46))","v":""},null,null,null,null,null,null,null,null,null,null,"Sqrt(ni) should be a divisor in the length of the data"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","","",null,null,null,null,null,null,null,null,null,null,null,"If not, the data is truncated to a correct N"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","","",null,null,null,null,null,null,null,null,null,null,"Sqrt(ni*ratio) should be a divisor in the length of the (truncated) data"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","","",null,null,null,null,null,null,null,null,null,null,null,"If not, the ratio will be corrected"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","","",null,null,null,null,null,null,null,null,null,null,"If the rules for ni and ratio is not followed the numbers in table 2 will be negative"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","","",null,null,null,null,null,null,null,null,null,null,"and the corrected values for N  and ratio is shown in Table 3 (after calulations)"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ratio","jmx","Ni","Syst %","Strat %","Rand %","s1/sq(Ni)","s1/Ni"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Y55<>\"\",Y55,\"\")","v":""},{"$f":"IF(Z55<>\"\",Z55,\"\")","v":""},null,{"$f":"IF(AB55<>\"\",AB55/$V$19,\"\")","v":""},"","",{"$f":"IF(AA55<>\"\",S$25/SQRT(AA55),\"\")","v":""},{"$f":"IF(AA55<>\"\",$S$25/AA55,\"\")","v":""},{"$f":"IF(AE55=\"\",\"\",IF(AE55=$AA$23,\"\",AE55))","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Y56<>\"\",Y56,\"\")","v":""},"",null,"","","",{"$f":"IF(AA56<>\"\",S$25/SQRT(AA56),\"\")","v":""},{"$f":"IF(AA56<>\"\",$S$25/AA56,\"\")","v":""},{"$f":"IF(AE56=\"\",\"\",IF(AE56=$AA$23,\"\",AE56))","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",""]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ratio","jmx","Ni","Syst %","Strat %","Rand %","s1/sq(Ni)","s1/Ni"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Y65<>\"\",Y65,\"\")","v":""},{"$f":"IF(Z65<>\"\",Z65,\"\")","v":""},null,{"$f":"IF(AB65<>\"\",AB65/$V$19,\"\")","v":""},"","",{"$f":"IF(AA65<>\"\",S$25/SQRT(AA65),\"\")","v":""},{"$f":"IF(AA65<>\"\",$S$25/AA65,\"\")","v":""},{"$f":"IF(AE65=\"\",\"\",IF(AE65=$AA$23,\"\",AE65))","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Y66<>\"\",Y66,\"\")","v":""},"",null,"","","",{"$f":"IF(AA66<>\"\",S$25/SQRT(AA66),\"\")","v":""},{"$f":"IF(AA66<>\"\",$S$25/AA66,\"\")","v":""},{"$f":"IF(AE66=\"\",\"\",IF(AE66=$AA$23,\"\",AE66))","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",""]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ratio","jmx","Ni","Syst %","Strat %","Rand %","s1/sq(Ni)","s1/Ni"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Y75<>\"\",Y75,\"\")","v":""},{"$f":"IF(Z75<>\"\",Z75,\"\")","v":""},null,{"$f":"IF(AB75<>\"\",AB75/$V$19,\"\")","v":""},"","",{"$f":"IF(AA75<>\"\",S$25/SQRT(AA75),\"\")","v":""},{"$f":"IF(AA75<>\"\",$S$25/AA75,\"\")","v":""},{"$f":"IF(AE75=\"\",\"\",IF(AE75=$AA$23,\"\",AE75))","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Y76<>\"\",Y76,\"\")","v":""},"",null,"","","",{"$f":"IF(AA76<>\"\",S$25/SQRT(AA76),\"\")","v":""},{"$f":"IF(AA76<>\"\",$S$25/AA76,\"\")","v":""},{"$f":"IF(AE76=\"\",\"\",IF(AE76=$AA$23,\"\",AE76))","v":""}]
[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,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,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,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,null,"","",""]
[]
["Table 1:     Concentrations"]
[]
["Horizontal x ®"]
[]
["Vertical y ¯"]
[]
[null,"Vario Horizontal Center","Vario Vertical Center",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]
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