************************************************* * Multidimensional Fit * * * * By Christian Holm 14/10/00 * ************************************************* User parameters: ---------------- Variables: 4 Data points: 0 Max Terms: 30 Power Limit Parameter: 1 Max functions: 1000 Max functions to study: 1000 Max angle (optional): 10 Min angle: 10 Relative Error accepted: 0.01 Maximum Powers: 6 6 6 6 Parameterisation will be done using Monomials ====================================== Sample statistics: ------------------ D 1 2 3 4 Max: 141.6264 9.954 9.99 9.998 9.995 Min: 0.149448 0.0455 0.01523 0.04109 0.003819 Mean: 48.40441 5.033 5.044 5 5.002 Function Sum Squares: 1.678e+06 Coeff SumSqRes Contrib Angle QM Func Value W^2 Powers 1 5.065e+05 2.886e-24 10 6.67e-07 0 -7.597e-14 500 0 0 0 0 2 1.15e+05 3.915e+05 50 0.167 2 47.33 174.7 1 0 0 0 3 8.755e+04 2.749e+04 80 0.167 1 13.26 156.3 0 0 0 1 4 6.188e+04 2.568e+04 80 0.167 3 12.39 167.3 0 0 1 0 5 3.708e+04 2.48e+04 80 0.167 4 12.6 156.3 0 1 0 0 6 2.596e+04 1.112e+04 85 0.333 8 14.91 50.03 1 1 0 0 7 1.667e+04 9290 85 0.333 9 13.02 54.78 1 0 0 1 8 7382 9287 85 0.333 14 12.64 58.13 1 0 1 0 9 6235 1147 87.5 0.333 5 5.095 44.16 0 0 0 2 10 5218 1018 87.5 0.333 12 4.983 40.99 0 2 0 0 11 4193 1025 87.5 0.667 53 5.229 37.5 0 0 4 0 12 3299 893.8 88.8 0.333 6 -4.058 54.27 0 0 1 1 13 2458 841.2 88.8 0.333 7 -4.155 48.73 0 1 0 1 14 1933 524.7 88.8 0.333 13 -3.291 48.45 0 1 1 0 15 1675 258.1 88.8 0.5 19 4.211 14.56 1 0 0 2 16 1334 340.6 88.8 0.5 26 -4.731 15.22 1 1 0 1 17 1079 255.5 88.8 0.5 33 3.953 16.35 1 0 2 0 18 788.2 290.4 88.8 0.5 34 4.687 13.22 1 2 0 0 19 709.2 78.94 89.4 0.5 21 2.23 15.88 0 1 1 1 20 473.4 235.8 89.4 0.5 23 -3.543 18.78 1 0 1 1 21 235.4 238 89.4 0.5 28 -3.976 15.06 1 1 1 0 Results of Parameterisation: ---------------------------- Total reduction of square residuals 5.063e+05 Relative precision obtained: 0.01185 Error obtained: 235.4 Multiple correlation coefficient: 0.9995 Reduced Chi square over sample: 0.4975 Maximum residual value: 3.243 Minimum residual value: -2.59 Estimated root mean square: 0.6862 Maximum powers used: 1 2 4 2 Function codes of candidate functions. 1: considered, 2: too little contribution, 3: accepted. 3333333333 1133311113 1313113131 1113311111 1111111111 1113111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 111111 Loop over candidates stopped because max allowed studies reached Coefficients: ------------- # Value Error Powers --------------------------------------- 0 -4.371 0.08798 0 0 0 0 1 43.15 0.1601 1 0 0 0 2 13.43 0.08032 0 0 0 1 3 13.46 0.07805 0 0 1 0 4 13.4 0.08054 0 1 0 0 5 13.33 0.1423 1 1 0 0 6 13.3 0.1367 1 0 0 1 7 13.35 0.1331 1 0 1 0 8 4.497 0.1511 0 0 0 2 9 4.639 0.1585 0 2 0 0 10 4.89 0.164 0 0 4 0 11 -3.7 0.1364 0 0 1 1 12 -3.986 0.1438 0 1 0 1 13 -3.862 0.1458 0 1 1 0 14 4.361 0.2614 1 0 0 2 15 -4.026 0.2555 1 1 0 1 16 4.57 0.2477 1 0 2 0 17 4.698 0.2729 1 2 0 0 18 2.838 0.2525 0 1 1 1 19 -3.489 0.2292 1 0 1 1 20 -3.976 0.2566 1 1 1 0 Results of Fit: --------------- Test sample size: 2100 Multiple correlation coefficient: 0.9994 Relative precision obtained: 0.0001753 Error obtained: 1275 Reduced Chi square over sample: 2.47 FCN=1 FROM MIGRAD STATUS=CONVERGED 861 CALLS 862 TOTAL EDM=1.67352e-06 STRATEGY= 1 ERROR MATRIX ACCURATE EXT PARAMETER PHYSICAL LIMITS NO. NAME VALUE ERROR NEGATIVE POSITIVE 1 coeff00 -4.39851e+00 4.44260e-02 2 coeff01 4.31493e+01 8.56451e-02 3 coeff02 1.34121e+01 3.78565e-02 4 coeff03 1.34869e+01 3.80951e-02 5 coeff04 1.33954e+01 3.74054e-02 6 coeff05 1.32280e+01 6.57916e-02 7 coeff06 1.33441e+01 6.75855e-02 8 coeff07 1.32943e+01 6.66410e-02 9 coeff08 4.52254e+00 7.39945e-02 10 coeff09 4.65912e+00 7.21745e-02 11 coeff10 4.94808e+00 8.14935e-02 12 coeff11 -4.02586e+00 6.53780e-02 13 coeff12 -4.04534e+00 6.55396e-02 14 coeff13 -3.93856e+00 6.51725e-02 15 coeff14 4.42141e+00 1.30526e-01 16 coeff15 -4.00581e+00 1.17191e-01 17 coeff16 4.62595e+00 1.30233e-01 18 coeff17 4.37782e+00 1.28579e-01 19 coeff18 3.51629e+00 1.13771e-01 20 coeff19 -4.11068e+00 1.17446e-01 21 coeff20 -3.82302e+00 1.16486e-01 Coefficients: ------------- # Value Error Powers --------------------------------------- 0 -4.399 0.04443 0 0 0 0 1 43.15 0.08565 1 0 0 0 2 13.41 0.03786 0 0 0 1 3 13.49 0.0381 0 0 1 0 4 13.4 0.03741 0 1 0 0 5 13.23 0.06579 1 1 0 0 6 13.34 0.06759 1 0 0 1 7 13.29 0.06664 1 0 1 0 8 4.523 0.07399 0 0 0 2 9 4.659 0.07217 0 2 0 0 10 4.948 0.08149 0 0 4 0 11 -4.026 0.06538 0 0 1 1 12 -4.045 0.06554 0 1 0 1 13 -3.939 0.06517 0 1 1 0 14 4.421 0.1305 1 0 0 2 15 -4.006 0.1172 1 1 0 1 16 4.626 0.1302 1 0 2 0 17 4.378 0.1286 1 2 0 0 18 3.516 0.1138 0 1 1 1 19 -4.111 0.1174 1 0 1 1 20 -3.823 0.1165 1 1 1 0 Writing on file "MDF.C" ... done multidimfit .............................................. OK (int) 0