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Estimating Methods, Variability, and Sampling for Drop-Test Data

Sampling

design graphic

Spacing in the Downrange Direction

The original grid design shown in figure 2 was compared to a design with wider spacing through cross validation. Every other row was removed in the observed data set to obtain the 40- by 10-foot spacing (figure 18). This subset of 256 values was used to predict, by triangulation, values at the 288 sites that were removed.

Illustration of the test area with 40-foot cup spacing in the north-south direction and 20-foot cup spacing in the north-south direction.

Figure 18—The original 20-foot cup spacing was
increased to 40 feet in the north-south direction
to evaluate sampling density.

A comparison (table 6) of the predicted gpc values from the 40-foot spacings to the observed values shows a correlation of 0.78, a mean error of -0.01195 gpc and a median error of zero.

Table 6—Comparison of observed gpc values with predicted gpc values from a 40- by 10-foot spacing. MAE is mean absolute error and MSE is mean squared error.
 
Drop 201 TRUE Triangulation
(gpc)
Mean 0.81 0.82
Standard deviation 1.08 1.24
Minimum 0.00 0.00
1st quartile 0.02 0.03
Median 0.33 0.39
3rd quartile 1.27 1.16
Maximum 5.49 10.80
Correlation   0.78
n 241 241
Summary statistics for error distribution
Drop 201 Triangulation
(gpc)
Mean -0.01195
Standard deviation 0.793
Minimum -7.065
1st quartile -0.110
Median 0.000
3rd quartile 0.085
Maximum 3.535
MAE 0.341
MSE 0.627
n 241

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