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. 2014 Jun 5;52(Suppl 1):126–136. doi: 10.1111/gwat.12222

Table 2.

Results of the Field Measurements and of the Monte Carlos Simulation of 52 Field Measurements During the Last Four (Long) Sampling Campaigns

Mean Standard Deviation Difference Between Means, del.m (Equation 1a) Difference in Mean Step Size, del.Diff.m (Equation 1b) First Order Autocorrelation Second Order Autocorrelation
Field measurements (n = 52) 0.973 0.859 0.709 0.068 0.196 0.258
MCS Model 1 (Equation 2) (n = 106) Average 0.973 0.855 0.957 −0.265 −0.020 0.001
2.5%-ile 0.740 0.693 0.659 −0.717 −0.287 −0.267
97.5%-ile 1.207 1.025 1.270 0.251 0.249 0.267
p-value 50% 53% 5% 91% 94% 97%
MCS Model 2 (Equation 3) (n = 106) Average 0.979 0.847 0.894 −0.111 0.145 0.164
2.5%-ile 0.708 0.692 0.624 −0.588 −0.105 −0.082
97.5%-ile 1.252 1.017 1.169 0.474 0.381 0.395
p-value 49% 57% 9% 77% 65% 77%

p-value: MCS quantile of the measured statistic level.

MCS: Monte Carlo simulation, 1 million random realizations, with each realization consisting of a simulation of 52 field measurements.