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{"sheet":"Instructions","index":0,"n_rows":39,"n_cols":2,"rows_kept":39,"cut":false,"hidden":false,"merged":[]}
["Australian Journal of Experimental Agriculture, 1998, 38 617-22"]
["Mick O'Neill & Peter Thomson"]
["       Biometry Unit, Faculty of Agriculture, University of Sydney, Australia 2006 (MickO@agric.usyd.edu.au)"]
["Updated by Maryann O'Donnell, August 2004"]
[]
["1.   In the worksheet Power for specified means you can determine the power for a given scenario of treatment means"]
["       in a proposed one factor experiment. Change the formula for df in cell E9 for a different design."]
[]
["Choice 1: ","Provide the proposed sample sizes and anticipated set of treatment means;"]
[null,"the power is calculated automatically provided an estimate of variance is available."]
[]
["2.   In the worksheet Power for minimum difference you can determine the power, sample size or minimum detectable difference"]
["       in a proposed one factor experiment. "]
["      An estimate of variance is required in C11. Change the formula for Error df in cell C16 for a different design."]
[]
["Choice 2: ","Provide the proposed sample size and anticipated smallest mean difference;"]
[null,"the power is calculated automatically"]
[]
["Choice 3: ","Provide the desired power and anticipated smallest mean difference of your test;"]
[null,"to obtain the required sample size (per treatment),  run Tools/Solver.  You need to:"]
[null,"• ensure that C18 is entered in the Set Target Cell: box"]
[null,"• enter your desired power in the Value of: box"]
[null,"• ensure that C9 is entered in the By Changing Cells: box"]
[null,"• click on Solve. The solution in C9 will show as an integer but it is probably fractional.  "]
[null,"   Replace it by its solved value and one more than its solved value, and check the power."]
[]
["Choice 4: ","Provide the desired power and sample size of your test;"]
[null,"to obtain the required minimum detectable difference:"]
[null,"• enter your proposed sample size in cell C9. Then run Tools/Solver. You need to:"]
[null,"• ensure that C18 is entered in the Set Target Cell: box"]
[null,"• enter your desired power in the Value of: box"]
[null,"• ensure that C11 is entered in the By Changing Cells: box"]
[null,"• click on Solve. The solution in C12 is the required minimum detectable difference"]
[null,"• select the approprite design number for CRD, RCBD, or Latin Square. "]
[]
["3.   In the worksheet Power for a given ANOVA you can determine the power for the F-test of an experiment already conducted."]
[]
["Choice 5: ","Provide the information from your ANOVA  (d.f., Mean Squares and significance level)"]
[null,"the power of the F-test is calculated automatically. Works for any experimental design."]

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["Choice 1: ","Calculation of the power of a proposed one factor (unblocked) experiment"]
[null,null,null," "]
["treatment","mean","replicate"]
[{"$f":"IF(ROW(A4)<=t+3,ROW(A4)-3,IF(A3=t,\"Enter means and replicates above\",\"\"))","v":1},3,10,"Enter first the number of treatments in your proposed experiment:",4]
[2,6,10,"The Treatment df for your proposed ANOVA are:",{"$f":"t-1","v":3}]
[{"$f":"IF(ROW(A6)<=t+3,ROW(A6)-3,IF(A5=t,\"Enter means and replicates above\",\"\"))","v":3},7,10,"Enter an estimate of the variance of each treatment:",7]
[4,8,10,"Choose the level of significance for your proposed F-test:",0.05]
[{"$f":"IF(ROW(A8)<=t+3,ROW(A8)-3,IF(A7=t,\"Enter means and replicates above\",\"\"))","v":"Enter means and replicates above"},null,null,"Non centrality F-parameter (l)",{"$f":"(SUMPRODUCT(B4:B34^2,C4:C34)-SUMPRODUCT(B4:B34,C4:C34)^2/SUM(C4:C34))/E6","v":20}]
[{"$f":"IF(ROW(A8)<=t+3,ROW(A8)-3,IF(A7=t,\"and delete entries below\",\"\"))","v":"and delete entries below"},null,null,"The Error df for your proposed ANOVA are:",{"$f":"SUM((C4:C33)*(ROW(C4:C33)-3<=t))-$E$4","v":36}]
[{"$f":"IF(ROW(A10)<=t+3,ROW(A10)-3,IF(A9=t,\"Enter means and replicates above\",\"\"))","v":""},null,null,"Your ANOVA Fcrit value is:",{"$f":"FINV($E$7,$E$4-1,$E$9)","v":2.866265557082313}]
["",null,null,"The power of your ANOVA F-test is:",{"$f":"powermd(E8,E5,E9,E10)","v":0.95818554292794766}]
[""]
[""]
[""]
[""]
[""]
[""]
[""]
[""]
["",null,null,null,null,"F-dist (means equal)"]
[{"$f":"IF(ROW(A21)<=t+3,ROW(A21)-3,IF(A20=t,\"Enter means and replicates above\",\"\"))","v":""},null,null,null,null,"F-dist (means different)"]
["",null,null,null,null,"Fcrit"]
[""]
[""]
[""]
[""]
[""]
[""]
[""]
[""]
[""]
["",null,null,"significance level is the area under the blue curve to the right of Fcrit"]
[""]
["",null,null,"power is the area under the brown curve to the right of Fcrit"]
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[null,null,null,null,17.92799999999994,1.6321527019298751E-7,7.2749844356971545E-3]
[null,null,null,null,17.963999999999942,1.5959363704779121E-7,7.1911389005019513E-3]
[null,null,null,null,17.999999999999943,1.560564446041665E-7,7.1082394212298224E-3]

{"sheet":"Power for minimum difference","index":2,"n_rows":600,"n_cols":7,"rows_kept":600,"cut":false,"hidden":false,"merged":[]}
[null,"Calculation of the"]
["Choice 2: ","·   power"]
["Choice 3: ","·  sample size per treatment"]
["Choice 4: ","·  minimum detectable difference"]
[null," of a proposed one factor (unblocked) experiment"]
[null,null,null,"Design Number",null,0,"for  CRD"]
[null,"Enter the number of treatments in your proposed experiment:",4,0,"In D7, enter:",1,"for RCBD "]
[null,"The Treatment df for your proposed ANOVA are:",{"$f":"C7-1","v":3},{"$f":"IF(D7>2,\"Invalid design number!\",\"\")","v":""},null,2,"for Latin Square design"]
[null,"Enter the proposed number of replicates (or blocks) per treatment:",8,null,{"$f":"IF(D7=2,\"Type\",\"\")","v":""},{"$f":"IF(D7=2,\"=C9\",\"\")","v":""},{"$f":"IF(D7=2,\"in C7\",\"\")","v":""}]
[]
[null,"Enter an estimate of the variance of each treatment (e.g. from a previous ANOVA):",1]
[null,"Enter the smallest difference to detect between the 2 most different means:",2]
[null,"Choose the level of significance for your proposed F-test:",0.05]
[]
[null,"Non centrality F-parameter (l)",{"$f":"C9*C12^2/2/C11","v":16}]
[null,"The Error df for your proposed ANOVA are:",{"$f":"($C$7-D7)*($C$9-1)","v":28}]
[null,"Your ANOVA Fcrit value is:",{"$f":"FINV($C$13,$C$7-1,$C$7*($C$9-1))","v":2.9466852687816703}]
[null,"The power of your ANOVA F-test is:",{"$f":"powermd(C15,C8,C16,C17)","v":0.89359784283076671}]
[null,null,null,"see graph below"]
[]
[]
[]
[]
[]
[]
[null,null,null,"F-dist (means equal)"]
[null,null,null,"F-dist (means different)"]
[null,null,null,"Fcrit"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"significance level is the area under the blue curve to the right of Fcrit"]
[]
[null,"power is the area under the brown curve to the right of Fcrit"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
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[]
[]
[]
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[]
[]
[]
[null,null,6,12,18]
[null,null,500,"Central F","Non-central F","Red line"]
[null,null,0,{"$f":"CentralF($C$8,$C$16,C100)","v":0},{"$f":"NonCentralF($C$8,$C$16,$C$15,C100)","v":0},{"$f":"$C$17","v":2.9466852687816703},0]
[null,null,{"$f":"C100+IF($C$18<1/3,$C$98/$C$99,IF($C$18<2/3,$D$98/$C$99,$E$98/$C$99))","v":3.5999999999999997E-2},{"$f":"CentralF($C$8,$C$16,C101)","v":0.38035725022802724},{"$f":"NonCentralF($C$8,$C$16,$C$15,C101)","v":1.7245261536376425E-4},{"$f":"$C$17","v":2.9466852687816703},{"$f":"MAX(G102:G103)","v":9.4126093459731761E-2}]
[null,null,{"$f":"C101+IF($C$18<1/3,$C$98/$C$99,IF($C$18<2/3,$D$98/$C$99,$E$98/$C$99))","v":7.1999999999999995E-2},0.50686396788601973,3.0174887884145063E-4,null,{"$f":"NonCentralF($C$8,$C$16,$C$15,F101)","v":9.4126093459731761E-2}]
[null,null,0.10799999999999998,0.58508692530747175,4.4733621585141742E-4,null,{"$f":"CentralF($C$8,$C$16,F101)","v":5.1952582326287321E-2}]
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[null,null,0.18,0.67143554806809469,8.056326095802794E-4]
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[null,null,0.28799999999999998,0.71297588685366109,1.5402153793497042E-3]
[null,null,0.32399999999999995,0.71369180990740089,1.8431919549257488E-3]
[null,null,0.35999999999999993,0.71013776757536706,2.1771357438659508E-3]
[null,null,0.39599999999999991,0.70320986483455039,2.5430496185421814E-3]
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[null,null,0.46799999999999986,0.68191163783897302,3.3743697329770813E-3]
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[null,null,0.57599999999999996,0.63833345286275567,4.8813021949364235E-3]
[null,null,0.61199999999999999,0.62201524460750324,5.4553371758237178E-3]
[null,null,0.64800000000000002,0.60518754061387525,6.0659900006962576E-3]
[null,null,0.68400000000000005,0.58802427119677558,6.713587960607708E-3]
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[null,null,13.535999999999895,7.2584016588473859E-6,1.7279993630702616E-2]
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[null,null,13.607999999999894,6.93159438144859E-6,1.6882376659946616E-2]
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[null,null,13.715999999999893,6.4704453095839435E-6,1.6302426939097371E-2]
[null,null,13.751999999999892,6.3240858371557079E-6,1.6113417389430437E-2]
[null,null,13.787999999999892,6.1812487794329959E-6,1.5926525710920132E-2]
[null,null,13.823999999999891,6.0418442990115715E-6,1.5741730729335841E-2]
[null,null,13.859999999999891,{"$f":"CentralF($C$8,$C$16,C485)","v":5.9057849779813236E-6},{"$f":"NonCentralF($C$8,$C$16,$C$15,C485)","v":1.5559011412172167E-2}]
[null,null,{"$f":"C485+IF($C$18<1/3,$C$98/$C$99,IF($C$18<2/3,$D$98/$C$99,$E$98/$C$99))","v":13.895999999999891},5.7729857493375607E-6,1.5378346869659231E-2]
[null,null,13.93199999999989,5.6433638304328553E-6,1.5199716355700631E-2]
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[null,null,14.147999999999888,4.9279919456480818E-6,1.4169504397974228E-2]
[null,null,14.183999999999887,4.8184720773892497E-6,1.400454342754655E-2]
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[null,null,14.507999999999884,3.9418995454822919E-6,1.260189507170799E-2]
[null,null,14.543999999999883,3.8555543795494429E-6,1.2454811342462058E-2]
[null,null,14.579999999999883,3.7712218790115822E-6,1.2309413471403657E-2]
[null,null,14.615999999999882,3.6888523187132081E-6,1.2165683538976353E-2]
[null,null,14.651999999999882,3.6083972710134458E-6,1.2023603775842944E-2]
[null,null,14.687999999999882,3.5298095701410067E-6,1.188315656272561E-2]
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[null,null,14.83199999999988,3.2332311740552782E-6,1.133734606501649E-2]
[null,null,14.86799999999988,3.1633145179882324E-6,1.120480254927874E-2]
[null,null,14.903999999999879,3.0950068429574048E-6,1.1073789005810585E-2]
[null,null,14.939999999999879,3.0282689007785534E-6,1.0944288858404955E-2]
[null,null,14.975999999999878,2.963062454496319E-6,1.0816285678439402E-2]
[null,null,15.011999999999878,2.8993502509519671E-6,1.068976318443437E-2]
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[null,null,15.083999999999877,2.7762643192767818E-6,1.0441095861266791E-2]
[null,null,15.119999999999877,2.7168207677196833E-6,1.0318919200521434E-2]
[null,null,15.155999999999876,2.6587317624462583E-6,1.0198159561513478E-2]
[null,null,15.191999999999876,2.6019645843409076E-6,1.0078801390969434E-2]
[null,null,15.227999999999875,2.5464873491072821E-6,9.9608292795935124E-3]
[null,null,15.263999999999875,2.4922689848403435E-6,9.8442279614637321E-3]
[null,null,15.299999999999875,2.4392792102309624E-6,9.7289823134076737E-3]
[null,null,15.335999999999874,2.3874885133845633E-6,9.6150773543603081E-3]
[null,null,15.371999999999874,2.3368681312355041E-6,9.5024982447029643E-3]
[null,null,15.407999999999873,2.2873900295398353E-6,9.3912302855858696E-3]
[null,null,15.443999999999873,2.2390268834292613E-6,9.2812589182337361E-3]
[null,null,15.479999999999873,2.1917520585098879E-6,9.1725697232357163E-3]
[null,null,15.515999999999872,2.1455395924898257E-6,9.0651484198207514E-3]
[null,null,15.551999999999872,2.1003641773200084E-6,8.9589808651179305E-3]
[null,null,15.587999999999871,2.0562011418333891E-6,8.8540530534040734E-3]
[null,null,15.623999999999871,2.0130264348677768E-6,8.750351115337611E-3]
[null,null,15.65999999999987,1.9708166088583526E-6,8.6478613171807536E-3]
[null,null,15.69599999999987,1.929548803886071E-6,8.5465700600096291E-3]
[null,null,15.73199999999987,1.889200732168709E-6,8.4464638789134155E-3]
[null,null,15.767999999999869,1.8497506629817578E-6,8.3475294421832911E-3]
[null,null,15.803999999999869,1.811177407996562E-6,8.2497535504909344E-3]
[null,null,15.839999999999868,1.7734603070237527E-6,8.1531231360584457E-3]
[null,null,15.875999999999868,1.7365792141500957E-6,8.0576252618186923E-3]
[null,null,15.911999999999868,1.7005144842575292E-6,7.9632471205680795E-3]
[null,null,15.947999999999867,1.6652469599132387E-6,7.8699760341111695E-3]
[null,null,15.983999999999867,1.6307579586201174E-6,7.7777994523980593E-3]
[null,null,16.019999999999868,1.5970292604172793E-6,7.6867049526553903E-3]
[null,null,16.055999999999869,1.5640430958204716E-6,7.596680238510606E-3]
[null,null,16.091999999999871,1.5317821340926945E-6,7.5077131391106744E-3]
[null,null,16.127999999999872,1.5002294718355333E-6,7.4197916082353434E-3]
[null,null,16.163999999999874,{"$f":"CentralF($C$8,$C$16,C549)","v":1.4693686218920181E-6},{"$f":"NonCentralF($C$8,$C$16,$C$15,C549)","v":7.3329037234054397E-3}]
[null,null,{"$f":"C549+IF($C$18<1/3,$C$98/$C$99,IF($C$18<2/3,$D$98/$C$99,$E$98/$C$99))","v":16.199999999999875},1.4391835025521052E-6,7.2470376849866685E-3]
[null,null,16.235999999999876,1.4096584270521358E-6,7.1621818162919092E-3]
[null,null,16.271999999999878,1.3807780933598825E-6,7.0783245586725383E-3]
[null,null,16.307999999999879,1.3525275742370526E-6,6.9954544766088912E-3]
[null,null,16.34399999999988,1.3248923075713506E-6,6.9135602528073003E-3]
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[null,null,16.415999999999883,1.2714110526103868E-6,6.7526547014483043E-3]
[null,null,16.451999999999884,1.245537682331338E-6,6.6736213271883921E-3]
[null,null,16.487999999999886,1.2202247829734881E-6,6.5955197159494241E-3]
[null,null,16.523999999999887,1.1954594819464987E-6,6.5183391328149055E-3]
[null,null,16.559999999999889,1.1712292190258033E-6,6.4420689565852333E-3]
[null,null,16.59599999999989,1.1475217383693943E-6,6.3666986788558462E-3]
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[null,null,16.667999999999893,1.1016275759888599E-6,6.2186163437212309E-3]
[null,null,16.703999999999894,1.0794178356085256E-6,6.1458838251813551E-3]
[null,null,16.739999999999895,1.0576847456602343E-6,6.0740102810283329E-3]
[null,null,16.775999999999897,1.0364174597591165E-6,6.0029857530001446E-3]
[null,null,16.811999999999898,1.0156053922986267E-6,5.9328003900994243E-3]
[null,null,16.8479999999999,9.9523821184676151E-7,5.8634444476741788E-3]
[null,null,16.883999999999901,9.7530583471791441E-7,5.7949082864998894E-3]
[null,null,16.919999999999902,9.5579841871547348E-7,5.7271823718631288E-3]
[null,null,16.955999999999904,9.3670635704041442E-7,5.6602572726469564E-3]
[null,null,16.991999999999905,9.1802027236126971E-7,5.5941236604182725E-3]
[null,null,17.027999999999906,8.9973101104100284E-7,5.5287723085173084E-3]
[null,null,17.063999999999908,8.8182963751643144E-7,5.4641940911494737E-3]
[null,null,17.099999999999909,8.6430742882597971E-7,5.4003799824797437E-3]
[null,null,17.13599999999991,8.4715586928166113E-7,5.3373210557296664E-3]
[null,null,17.171999999999912,8.3036664528130276E-7,5.275008482277326E-3]
[null,null,17.207999999999913,8.1393164025715259E-7,5.2134335307602387E-3]
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[null,null,17.279999999999916,7.8209277665490199E-7,5.0924620490191202E-3]
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[null,null,17.351999999999919,7.5157810290403605E-7,4.9743386709116006E-3]
[null,null,17.38799999999992,7.3679900325940783E-7,4.9163242003315392E-3]
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[null,null,17.459999999999923,7.0816210791944445E-7,4.8023488629640827E-3]
[null,null,17.495999999999924,6.9429073718361602E-7,4.7463719356256604E-3]
[null,null,17.531999999999925,6.8070863223631528E-7,4.6910582783010121E-3]
[null,null,17.567999999999927,6.6740939647870432E-7,4.6364000836497752E-3]
[null,null,17.603999999999928,6.5438678278107264E-7,4.5823896319622942E-3]
[null,null,17.63999999999993,6.4163468980374149E-7,4.5290192903090906E-3]
[null,null,17.675999999999931,6.29147158413093E-7,4.4762815116949775E-3]
[null,null,17.711999999999932,6.1691836819014492E-7,4.4241688342177791E-3]
[null,null,17.747999999999934,6.0494263402917064E-7,4.3726738802318523E-3]
[null,null,17.783999999999935,5.932144028239273E-7,4.3217893555163901E-3]
[null,null,17.819999999999936,5.8172825023913187E-7,4.2715080484486715E-3]
[null,null,17.855999999999938,5.7047887756488438E-7,4.2218228291822377E-3]
[null,null,17.891999999999939,5.5946110865180642E-7,4.1727266488301197E-3]
[null,null,17.92799999999994,5.4866988692472531E-7,4.1242125386531849E-3]
[null,null,17.963999999999942,5.3810027247279454E-7,4.0762736092535999E-3]
[null,null,17.999999999999943,5.2774743921400041E-7,4.0289030497735381E-3]

{"sheet":"Power for a performed ANOVA","index":3,"n_rows":600,"n_cols":7,"rows_kept":600,"cut":false,"hidden":false,"merged":[]}
["Choice 5: ","Calculation of the power of a performed ANOVA F-test:"]
[null,"Enter the Treatment df from your ANOVA:",3]
[null,"Enter the Error df from your ANOVA:",10]
[null,"Enter the Treatment MS from your ANOVA:",5.19,null,{"$f":"IF($C4<$C5,\"Power is inappropriate when TMS < EMS\",\"\")","v":""}]
[null,"Enter the Error MS from your ANOVA:",0.8]
[null,"Choose the level of significance for your F-test:",0.05,{"$f":"IF($C7<$C8,\"Test is not significant at this level\",\"Test is significant at this level\")","v":"Test is significant at this level"}]
[null,"Your Fobs value is:",{"$f":"C4/C5","v":6.4874999999999998}]
[null,"Your Fcrit value is:",{"$f":"FINV($C$6,C2,C3)","v":3.708264819458714}]
[null,"The non-centrality parameter for the ANOVA F-test is:",{"$f":"(C2*(C4-C5)/C5)","v":16.462500000000002}]
[null,"The power of your F-test is:",{"$f":"powermd(C9,C2,C3,C8)","v":0.80622727061174504}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,"F-dist (means equal)"]
[null,null,null,null,"F-dist (means different)"]
[null,null,null,null,"Fcrit"]
[]
[]
[]
[]
[]
[]
[]
[null,"significance level is the area under the blue curve to the right of Fcrit"]
[]
[null,"power is the area under the brown curve to the right of Fcrit"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,6,12,18]
[null,null,500,"Central F","Non-central F","Red line"]
[null,null,0,{"$f":"CentralF($C$2,$C$3,C100)","v":0},{"$f":"NonCentralF($C$2,$C$3,$C$9,C100)","v":0},{"$f":"$C$8","v":3.708264819458714},0]
[null,null,{"$f":"C100+IF($C$10<1/3,$C$98/$C$99,IF($C$10<2/3,$D$98/$C$99,$E$98/$C$99))","v":3.5999999999999997E-2},{"$f":"CentralF($C$2,$C$3,C101)","v":0.39352505655786857},{"$f":"NonCentralF($C$2,$C$3,$C$9,C101)","v":1.5034133190067455E-4},{"$f":"$C$8","v":3.708264819458714},{"$f":"MAX(G102:G103)","v":0.10925657269521748}]
[null,null,{"$f":"C101+IF($C$10<1/3,$C$98/$C$99,IF($C$10<2/3,$D$98/$C$99,$E$98/$C$99))","v":7.1999999999999995E-2},{"$f":"CentralF($C$2,$C$3,C102)","v":0.51938051932586382},2.7396293756860206E-4,null,{"$f":"NonCentralF($C$2,$C$3,$C$9,F101)","v":0.10925657269521748}]
[null,null,{"$f":"C102+IF($C$10<1/3,$C$98/$C$99,IF($C$10<2/3,$D$98/$C$99,$E$98/$C$99))","v":0.10799999999999998},0.59408017568111948,4.2027948318582411E-4,null,{"$f":"CentralF($C$2,$C$3,F101)","v":3.3157312937236116E-2}]
[null,null,0.14399999999999999,0.641116777645934,5.9453804718213345E-4]
[null,null,0.18,0.67037442519306678,7.9983631585759806E-4]
[null,null,0.216,0.68727374788464901,1.0386302247098235E-3]
[null,null,0.252,0.69520881158663794,1.3130535407928289E-3]
[null,null,0.28799999999999998,0.69647892506084852,1.6250120186693641E-3]
[null,null,0.32399999999999995,0.69272357473497637,1.9762147501782394E-3]
[null,null,0.35999999999999993,0.68515363090114334,2.3681844117733487E-3]
[null,null,0.39599999999999991,0.67468611679935075,2.8022599151904795E-3]
[null,null,0.43199999999999988,0.66202834609434036,3.2795965040136824E-3]
[null,null,0.46799999999999986,0.64773330208916702,3.8011654109465828E-3]
[null,null,0.50399999999999989,0.6322376401614398,4.3677539615746448E-3]
[null,null,0.53999999999999992,0.6158886536771111,4.9799665331968874E-3]
[null,null,0.57599999999999996,0.59896393736049425,5.6382265012264177E-3]
[null,null,0.61199999999999999,0.58168605128937223,6.3427791972335557E-3]
[null,null,0.64800000000000002,0.56423366271143882,7.0936958509478015E-3]
[null,null,0.68400000000000005,0.54675014525218257,7.8908784284506938E-3]
[null,null,0.72000000000000008,0.52935030404346273,8.7340652810355291E-3]
[null,null,0.75600000000000012,0.51212569456351631,9.6228375185100357E-3]
[null,null,0.79200000000000015,0.49514886973851019,1.0556625990994956E-2]
[null,null,0.82800000000000018,0.47847679919649744,1.1534718787040089E-2]
[null,null,0.86400000000000021,0.46215364150496946,1.2556269160601005E-2]
[null,null,0.90000000000000024,0.44621300549027199,1.3620303781793972E-2]
[null,null,0.93600000000000028,0.43067980444127518,1.472573123725047E-2]
[null,null,0.97200000000000031,0.41557178331115646,1.5871350690241912E-2]
[null,null,1.0080000000000002,0.40090078140643098,1.7055860642535031E-2]
[null,null,1.0440000000000003,0.38667377976929812,1.8277867713044647E-2]
[null,null,1.0800000000000003,0.37289377233091453,1.9535895386047476E-2]
[null,null,1.1160000000000003,0.35956049210808144,2.0828392664082623E-2]
[null,null,1.1520000000000004,0.34667101764296177,2.2153742591222082E-2]
[null,null,1.1880000000000004,0.33422028011880534,2.3510270587706949E-2]
[null,null,1.2240000000000004,0.32220148781333086,2.4896252570377496E-2]
[null,null,1.2600000000000005,0.31060648154573411,2.6309922824026045E-2]
[null,null,1.2960000000000005,0.29942603236175386,2.7749481591061966E-2]
[null,null,1.3320000000000005,0.28865009075460257,2.9213102372223913E-2]
[null,null,1.3680000000000005,0.27826799513932243,3.0698938901774348E-2]
[null,null,1.4040000000000006,0.2682686460087666,3.2205131796257579E-2]
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