Tion andor as a weighting factor value preceded by a

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tion and/or as a weighting factor (value preceded by a ‘*’) that apply/applies to all data points in that set. Again, if both are given, the asterisk is optional unless there are no text labels present on the respective line. With no text present and both set-wide standard-devia- tion and weighting-factor values specified, the asterisk preceding the weighting factor is essential to distin- guish the set header from a line containing an ( x , y ) data point. Set-wide weighting factors permit inter-set weight- ing when fitting multiple data sets simultaneously. The default value for the set-wide weighting factor is 1.0. Individually specified w i -values are multiplied with the respective set-wide value. If no set-wide -value is given for a data set, an estimate will automatically be calculated using the measured values in the set as sample (this will thus likely be an overestimate): where N Set and denote the number of data points and the estimated mean of the measured values, respectively, in the data set. If the result is small enough to cause numerical difficulties or in case of sin- gle-value sets, the mean value of the set will be used as -estimate. Individually specified i -values take pre- cedence over the set-wide value. Multiple sets have to be separated by either a label line or an empty line. The number of additional empty lines between data sets can be arbitrary. In the example below FE-LM 2 recognizes two data sets. Values in the second set are believed to be more accurate which is expressed in a set-wide -value of 0.02 compared to that of the first set, 0.04. The first and second measurement in the first set are considered more reliable than the others in that set and are assigned individual i -values of 0.01 and 0.02, respec- tively, while the last data point in the first set in consid- ered less reliable with a i -value of 0.07. All other points in the first set are assigned the set-wide value 0.04. All points in the first set except for the last two are assigned the default weighting factor of 1.0. The last two data points in the first set are weighted by a factor of 2.0. To make up for the fewer data points, all points except the last one in the second set [ABC, XYZ] are weighted by a factor of 1.5. The last point in the second set is weighted by a factor of 4.5 (= 1.5*3). -estimate 1 N Set 1 ------------------- y i y Set 2 i N Set 0,5 = y Set
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cbcilt SKM `ä~ëëáÅ ö NMT VKO cbJij² ’Pressure Head [cm]’ Saturation 0.04 0 1.0 .01 -5 .98 .02 -10 .97 -25 .95 -50 .84 -100 .57 -150 .30 -200 .25 -300 .20 *2. -500 .19 .07 *2. ABC XYZ 0.02 *1.5 10 .735 20 .77 30 .795 40 .82 50 .845 80 .885 *3 VKOKQ iç~ÇáåÖ íÜÉ Ç~í~ ëÉí A new optimization problem is created using the (Optimizer New) menu entry or the associated tool- bar button ( ). The user will be prompted for the name of the data file to be opened and for the selection of the data set(s) to be imported in case several sets are found in the file. Upon successful loading of the set(s), a Model selection and parameter control dialog will be opened for this optimization problem. For each set, the
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