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["C =",24.793445682891321,"°C",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,140,71.333310089278484]
["D =",0.30991806210750178,null,null,{"$f":"DBTT_ATANH","v":3.6174162784169184},0,null,null,null,null,null,null,null,null,null,null,null,null,null,150,71.459614040540359]
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["C =",20.604250049917852,"°C",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,240,71.315975630005838]
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["df =",{"$f":"COUNT(A3:A32)-3","v":9},"(degrees of freedom)",null,null,null,{"$f":"IF(Fit_index=1,\"KV (J)\",IF(Fit_index=2,\"LE (mm)\",\"SFA (%)\"))","v":"KV (J)"},"T (°C)",null,null,null,null,null,null,null,null,null,null,null,null,null,280,7848649.3665626729,72.602328945018797,72.602328945018797]
["RMSE =",{"$f":"SQRT($B$39/$B$40)","v":2.8352805011766988},{"$f":"IF('Input data'!$I$3=1,\"J (root mean square error)\",IF('Input data'!$I$3=2,\"mm (root mean square error)\",\"% (root mean square error)\"))","v":"J (root mean square error)"},null,null,null,28,{"$f":"IF(ISBLANK($G41),\"\",IF($G41>US,\"N/A\",IF(AVERAGE($J41,$K41)<T0_KASYM,$J41,$K41)))","v":4.5224233692894362},null,{"$f":"T0_KASYM+2*C_KASYM*LN(($G41-LS)*(1+p_KASYM)/(US-LS))/(1+p_KASYM)","v":4.5224233692894362},{"$f":"T0_KASYM-2*C_KASYM*p_KASYM*LN((US-$G41)*(1+p_KASYM)/(p_KASYM*(US-LS)))/(1+p_KASYM)","v":6.062405831639988},null,null,null,null,null,null,null,null,null,null,290,12408396.656251792,72.602391502856548,72.602391502856548]
[null,null,null,null,null,null,41,{"$f":"IF(ISBLANK($G42),\"\",IF($G42>US,\"N/A\",IF(AVERAGE($J42,$K42)<T0_KASYM,$J42,$K42)))","v":13.630669709256653},null,{"$f":"T0_KASYM+2*C_KASYM*LN(($G42-LS)*(1+p_KASYM)/(US-LS))/(1+p_KASYM)","v":13.374754341112062},{"$f":"T0_KASYM-2*C_KASYM*p_KASYM*LN((US-$G42)*(1+p_KASYM)/(p_KASYM*(US-LS)))/(1+p_KASYM)","v":13.630669709256653},null,null,null,null,null,null,null,null,null,null,300,19617173.055645049,72.602431182184489,72.602431182184489]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,310,31013957.542794187,72.60245635007908,72.60245635007908]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,320,49031813.757262975,72.602472313628638,72.602472313628638]
[null,"AIC =",{"$f":"2*(COUNT(B35:B37)+1)+COUNT(Temperatures)*LN(SSR_KASYM/COUNT(Temperatures))","v":29.55919611856088},"(Akaike Information Criterion)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,330,77517317.096501529,72.602482439025252,72.602482439025252]
[null,"BIC =",{"$f":"(COUNT(B35:B37)+1)*LN(COUNT(Temperatures))+COUNT(Temperatures)*LN(SSR_KASYM/COUNT(Temperatures))","v":31.498822717712883},"(Bayesian Information Criterion)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,340,122551747.98724091,72.602488861384899,72.602488861384899]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,350,193749365.29804647,72.60249293497381,72.60249293497381]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,360,306309924.19651145,72.602495518779079,72.602495518779079]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,370,484263624.02646238,72.602497157640983,72.602497157640983]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,380,765601239.91138232,72.60249819714204,72.60249819714204]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,390,1210384653.7288291,72.602498856479144,72.602498856479144]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,400,1913569276.1791193,72.602499274684973,72.602499274684973]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"NORMSINV(0.05)","v":-1.6448536269514726},{"$f":"PERCENTILE($AX$3:$AX$32,0.05)","v":{"$error":"#NUM!"}}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"NORMSINV(0.95)","v":1.6448536269514715},{"$f":"PERCENTILE($AX$3:$AX$32,0.95)","v":{"$error":"#NUM!"}}]

{"sheet":"Summary of Results","index":6,"n_rows":23,"n_cols":11,"rows_kept":23,"cut":false,"hidden":false,"merged":[[16,5,17,5],[16,6,17,6],[16,7,17,7],[14,0,14,7],[0,0,0,7],[4,6,5,6],[4,5,5,5],[2,0,2,1]]}
["CHARPY DATA REGRESSION RESULTS"]
[]
["Dataset ID:",null,{"$f":"Dataset_ID","v":"Sample dataset #1 (X52 steel) - KV"}]
[]
[null,"Fitting","DBTT","C","RMSE","AIC","BIC"]
[null,"model","(°C)","(°C)",{"$f":"IF(Fit_index=1,\"(J)\",IF(Fit_index=2,\"(mm)\",\"(%)\"))","v":"(J)"}]
[null,"HT",{"$f":"DBTT_TANH","v":11.27188439101162},{"$f":"C_TANH","v":30.142866254820387},{"$f":"RMSE_TANH","v":2.2305981750911026},{"$f":"AIC_TANH","v":23.066616265351531},{"$f":"BIC_TANH","v":24.521336214715532},{"$f":"RANK($E7,$E$7:$E$11)","v":5},{"$f":"RANK($F7,$F$7:$F$11)","v":4},{"$f":"RANK($G7,$G$7:$G$11)","v":4},{"$f":"SUM(H7:J7)","v":13}]
[null,"AHT",{"$f":"DBTT_ATANH","v":3.6174162784169184},{"$f":"C_ATANH","v":24.793445682891321},{"$f":"RMSE_ATANH","v":5.2260103175156809},{"$f":"AIC_ATANH","v":44.235370523285141},{"$f":"BIC_ATANH","v":46.174997122437141},{"$f":"RANK($E8,$E$7:$E$11)","v":1},{"$f":"RANK($F8,$F$7:$F$11)","v":1},{"$f":"RANK($G8,$G$7:$G$11)","v":1},{"$f":"SUM(H8:J8)","v":3}]
[null,"BUR",{"$f":"DBTT_Burr","v":10.741610522571808},null,{"$f":"RMSE_Burr","v":2.3304346441977795},{"$f":"AIC_BURR","v":24.853130156695293},{"$f":"BIC_BURR","v":26.792756755847293},{"$f":"RANK($E9,$E$7:$E$11)","v":4},{"$f":"RANK($F9,$F$7:$F$11)","v":3},{"$f":"RANK($G9,$G$7:$G$11)","v":3},{"$f":"SUM(H9:J9)","v":10}]
[null,"ACT",{"$f":"DBTT_ARCTAN","v":11.116573801468007},{"$f":"C_ARCTAN","v":20.604250049917852},{"$f":"RMSE_ARCTAN","v":4.0842991089200185},{"$f":"AIC_ARCTAN","v":22.853130156695293},{"$f":"BIC_ARCTAN","v":24.307850106059295},{"$f":"RANK($E10,$E$7:$E$11)","v":2},{"$f":"RANK($F10,$F$7:$F$11)","v":5},{"$f":"RANK($G10,$G$7:$G$11)","v":5},{"$f":"SUM(H10:J10)","v":12}]
[null,"KHT",{"$f":"DBTT_KASYM","v":11.199490733868128},{"$f":"C_KASYM","v":21.898973760634373},{"$f":"RMSE_KASYM","v":2.8352805011766988},{"$f":"AIC_KASYM","v":29.55919611856088},{"$f":"BIC_KASYM","v":31.498822717712883},{"$f":"RANK($E11,$E$7:$E$11)","v":3},{"$f":"RANK($F11,$F$7:$F$11)","v":2},{"$f":"RANK($G11,$G$7:$G$11)","v":2},{"$f":"SUM(H11:J11)","v":7}]
[null,"Mean",{"$f":"AVERAGE(DBTT_TANH,DBTT_ATANH,DBTT_Burr,DBTT_ARCTAN,DBTT_KASYM)","v":9.5893951454672965},{"$f":"AVERAGE(C_TANH,C_ATANH,C_ARCTAN,C_KASYM)","v":24.359883937065984},{"$f":"AVERAGE(RMSE_TANH,RMSE_ATANH,RMSE_Burr,RMSE_ARCTAN,RMSE_KASYM)","v":3.3413245493802557}]
[null,"SD",{"$f":"STDEV(DBTT_TANH,DBTT_ATANH,DBTT_Burr,DBTT_ARCTAN,DBTT_KASYM)","v":3.3446817627480185},{"$f":"STDEV(C_TANH,C_ATANH,C_ARCTAN,C_KASYM)","v":4.2344509705377114},{"$f":"STDEV(RMSE_TANH,RMSE_ATANH,RMSE_Burr,RMSE_ARCTAN,RMSE_KASYM)","v":1.28605440188189}]
[]
["Fitting Coefficients"]
[]
["Fitting","DBTT","C","D","T0","k","m","p"]
["model","(°C)","(°C)","(1/°C)","(°C)"]
["HT",{"$f":"DBTT_TANH","v":11.27188439101162},{"$f":"C_TANH","v":30.142866254820387}]
["AHT",{"$f":"DBTT_ATANH","v":3.6174162784169184},{"$f":"C_ATANH","v":24.793445682891321},{"$f":"D_ATANH","v":0.30991806210750178}]
["BUR",null,null,null,{"$f":"T0_Burr","v":1.8397013226769554E-4},{"$f":"k_Burr","v":5.8146660059153775E-2},{"$f":"m_Burr","v":1.6163011246980374}]
["ACT",{"$f":"DBTT_ARCTAN","v":11.116573801468007},{"$f":"C_ARCTAN","v":20.604250049917852}]
["KHT",null,{"$f":"C_KASYM","v":21.898973760634373},null,{"$f":"T0_KASYM","v":11.132950816007948},null,null,{"$f":"p_KASYM","v":1.0060862594443409}]

{"sheet":"Characteristic Temperatures","index":7,"n_rows":8,"n_cols":9,"rows_kept":8,"cut":false,"hidden":false,"merged":[[4,1,4,5],[0,0,0,7],[2,0,2,1]]}
["CHARPY CHARACTERISTIC TEMPERATURES (°C)"]
[]
["Dataset ID:",null,{"$f":"Dataset_ID","v":"Sample dataset #1 (X52 steel) - KV"}]
[]
[{"$f":"'Input data'!B1","v":"KV"},"Fitting Model",null,null,null,null,"Mean","SD"]
[{"$f":"'Input data'!B2","v":"(J)"},"HT","AHT","BUR","ACT","KHT","(°C)","(°C)"]
[{"$f":"IF(ISBLANK(HT!$F41),\"\",HT!$F41)","v":28},{"$f":"HT!$G$41","v":3.1379318068395694},{"$f":"AHT!$G$41","v":-2.8358497475791431},{"$f":"BUR!$H$41","v":2.687806458077763},{"$f":"ACT!$G$41","v":5.3549233253797199},{"$f":"KHT!$H$41","v":4.5224233692894362},{"$f":"IF(ISBLANK(HT!$F41),\"\",AVERAGE($B7:$F7))","v":2.5734470424014693},{"$f":"IF(ISBLANK(HT!$F41),\"\",STDEV($B7:$F7))","v":3.2065297411247933},{"$f":"SUM(G7:H7)","v":5.7799767835262621}]
[{"$f":"IF(ISBLANK(HT!$F42),\"\",HT!$F42)","v":41},{"$f":"HT!$G$42","v":14.441789814291557},{"$f":"AHT!$G$42","v":6.4344733651187491},{"$f":"BUR!$H$42","v":13.975888028577737},{"$f":"ACT!$G$42","v":13.295126168418781},{"$f":"KHT!$H$42","v":13.630669709256653},{"$f":"IF(ISBLANK(HT!$F42),\"\",AVERAGE($B8:$F8))","v":12.355589417132695},{"$f":"IF(ISBLANK(HT!$F42),\"\",STDEV($B8:$F8))","v":3.3371310300598753},{"$f":"SUM(G8:H8)","v":15.692720447192571}]