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Gridding Report
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Sun Jan 14 17:45:55 2024
Elapsed time for gridding: 	0.31 seconds

Data Source

Source Data File Name: 	C:\Users\Ed\Documents\CLIMO\WI-CLIMO\WI-STATIONS\Normals_maps\Precip\R-normal_maps_1991-2020\WI-Precip-maps-1991-2020.xlsx (sheet '1991-2020=Precip-map')
X Column: 	Z
Y Column: 	Y
Z Column: 	S

Filtered Data Counts

Active Data:	340

Original Data:	340
Excluded Data:	0
Deleted Duplicates:	0
Retained Duplicates:	0
Artificial Data:	0
Superseded Data:	0

Exclusion Filtering

Exclusion Filter String:	Not In Use

Duplicate Filtering

Duplicate Points to Keep:	First
X Duplicate Tolerance:	7.5E-07       
Y Duplicate Tolerance:	5.6E-07       

No duplicate data were found.

Breakline Filtering

Breakline Filtering:	Not In Use

Z Data Transform

Transformation method:	Linear (use Z values directly)

No untransformable data were found.

Data Counts

Active Data:	340

Univariate Statistics

————————————————————————————————————————————
	X	Y	Z
————————————————————————————————————————————
 Count:                 	340	340	340

 1%-tile:               	-93.0556	42.2611	10.22
 5%-tile:               	-92.4853	42.5039	10.9
10%-tile:               	-91.9364	42.6783	11.19
25%-tile:               	-90.9189	43.1456	11.85
50%-tile:               	-89.5691	44.0328	12.76
75%-tile:               	-88.4177	45.1453	13.65
90%-tile:               	-87.9403	46.0003	14.38
95%-tile:               	-87.7997	46.4378	14.84
99%-tile:               	-87.505	46.7781	15.35

Minimum:                	-93.2289	42.1928	8.94
Maximum:                	-86.8911	46.9386	15.97

Mean:                   	-89.7484947059	44.2009529412	12.7616764706
Median:                 	-89.56635	44.03695	12.76
Geometric Mean:         	N/A	44.1840527222	12.7017887325
Harmonic Mean:          	N/A	44.16725854	12.641317137
Root Mean Square:       	89.7611094803	44.217953016	12.8209119732
Trim Mean (10%):        	-89.7119322476	44.1622964169	12.7527361564
Interquartile Mean:     	-89.6109578947	44.0693321637	12.7426900585
Midrange:               	-90.06	44.5657	12.455
Winsorized Mean:        	-89.7174664706	44.1797211765	12.7550882353
TriMean:                	-89.6187	44.089125	12.755

Variance:               	2.27115303065	1.50756202332	1.51986768263
Standard Deviation:     	1.50703451541	1.22782817337	1.23282913765
Interquartile Range:    	2.5012	1.9997	1.8
Range:                  	6.3378	4.7458	7.03
Mean Difference:        	1.72535403436	1.40684045809	1.40670570883
Median Abs. Deviation:  	1.26855	0.9493	0.9
Average Abs. Deviation: 	1.27930588235	1.04001117647	1.01267647059
Quartile Dispersion:    	N/A	0.0226489932711	0.0705882352941
Relative Mean Diff.:    	N/A	0.0318282834302	0.110228911701

Standard Error:         	0.0817304218443	0.066588331943	0.0668595473105
Coef. of Variation:     	N/A	0.0277783190558	0.0966040112745
Skewness:               	-0.357934308147	0.358469873057	0.0223781114635
Kurtosis:               	2.05453433061	2.05965788522	2.56922022839

Sum:                    	-30514.4882	15028.324	4338.97
Sum Absolute:           	30514.4882	15028.324	4338.97
Sum Squares:            	2739399.30355	664777.305435	55887.7665
Mean Square:            	8057.05677514	1955.22736893	164.375783824
————————————————————————————————————————————

Inter-Variable Covariance

————————————————————————————————
	X	Y	Z
————————————————————————————————
X: 	2.271153	-0.76031279	-0.99019651
Y: 	-0.76031279	1.507562	-0.4970099
Z: 	-0.99019651	-0.4970099	1.5198677
————————————————————————————————

Inter-Variable Correlation

————————————————————————————————
	X	Y	Z
————————————————————————————————
X: 	1.000	-0.411	-0.533
Y: 	-0.411	1.000	-0.328
Z: 	-0.533	-0.328	1.000
————————————————————————————————

Inter-Variable Rank Correlation

————————————————————————————————
	X	Y	Z
————————————————————————————————
X: 	1.000	-0.395	-0.582
Y: 	-0.395	1.000	-0.326
Z: 	-0.582	-0.326	1.000
————————————————————————————————

Principal Component Analysis

————————————————————————————————————————
	PC1	PC2	PC3
————————————————————————————————————————
X:      	0.0915144293295	0.0915144293295	0.524881526775
Y:      	-0.777337401585	-0.777337401585	0.568796196854
Z:      	0.622391896896	0.622391896896	0.568796196854

Lambda: 	3.05092350462	1.99501383578	0.252645396207
————————————————————————————————————————

Planar Regression: Z = AX+BY+C

Fitted Parameters
————————————————————————————————————————
	A	B	C
————————————————————————————————————————
Parameter Value: 	-0.657336035558	-0.661193952408	-17.0078404612
Standard Error:  	0.0291446084701	0.0357720500761	2.43817424744
————————————————————————————————————————

Inter-Parameter Correlations
————————————————————————————
	A	B	C
————————————————————————————
A:	1.000	0.411	0.806
B:	0.411	1.000	-0.208
C:	0.806	-0.208	1.000
————————————————————————————

ANOVA Table
————————————————————————————————————————————————————
Source 	df 	Sum of Squares 	Mean Square	F 
————————————————————————————————————————————————————
Regression:	2	332.054497084	166.027248542	305.44265224
Residual:  	337	183.180647327	0.543562751713
Total:     	339	515.235144412
————————————————————————————————————————————————————

Coefficient of Multiple Determination (R^2): 	0.644471753695

Nearest Neighbor Statistics

—————————————————————————————————
	Separation	|Delta Z|
—————————————————————————————————
 1%-tile:               	0.00433820239269	0.02
 5%-tile:               	0.0208786972774	0.07
10%-tile:               	0.0349012893745	0.12
25%-tile:               	0.0655149601236	0.25
50%-tile:               	0.123486760424	0.47
75%-tile:               	0.189315213335	0.86
90%-tile:               	0.255756857191	1.26
95%-tile:               	0.301159426218	1.48
99%-tile:               	0.356217517817	1.98

Minimum:                	0.000800000000012	0.01
Maximum:                	0.41624533631	3.48

Mean:                   	0.136554806364	0.613794117647
Median:                 	0.124012513818	0.475
Geometric Mean:         	0.102355955061	0.431547719284
Harmonic Mean:          	0.0437389084693	0.242388475464
Root Mean Square:       	0.161607591005	0.783227297788
Trim Mean (10%):        	0.131731285635	0.570456026059
Interquartile Mean:     	0.126029700511	0.512280701754
Midrange:               	0.208522668155	1.745
Winsorized Mean:        	0.13290972448	0.577058823529
TriMean:                	0.125450923577	0.5125

Variance:               	0.00749183313295	0.237400016484
Standard Deviation:     	0.0865553761066	0.487237125519
Interquartile Range:    	0.123800253211	0.61
Range:                  	0.41544533631	3.47
Mean Difference:        	0.097285355477	0.511577129967
Median Abs. Deviation:  	0.0628498726619	0.285
Average Abs. Deviation: 	0.0689493000164	0.359558823529
Quartile Dispersion:    	0.485814735088	0.54954954955
Relative Mean Diff.:    	0.712427179004	0.833466980635

Standard Error:         	0.00469412434136	0.0264241431763
Coef. of Variation:     	0.633850820865	0.793811982733
Skewness:               	0.644865598924	1.58614434901
Kurtosis:               	2.88352126192	7.19159543251

Sum:                    	46.4286341636	208.69
Sum Absolute:           	46.4286341636	208.69
Sum Squares:            	8.87978458	208.5713
Mean Square:            	0.0261170134706	0.613445
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Complete Spatial Randomness

Lambda:          	11.3039689228
Clark and Evans: 	0.918232084935
Skellam:         	630.686091074

Gridding Rules

Gridding Method: 	Kriging
Kriging Type: 	Point

Polynomial Drift Order: 	0
Kriging std. deviation grid: 	no

Semi-Variogram Model
Component Type: 	Linear
Anisotropy Angle: 	0
Anisotropy Ratio: 	1
Variogram Slope: 	0.575873

Search Parameters
Search Ellipse Radius #1:	3.96
Search Ellipse Radius #2:	3.96
Search Ellipse Angle:    	0

Number of Search Sectors:	4
Maximum Data Per Sector: 	16
Maximum Empty Sectors:   	3

Minimum Data:            	8
Maximum Data:            	64

Output Grid

Grid File Name: 	C:\Users\Ed\Documents\CLIMO\WI-CLIMO\WI-STATIONS\Normals_maps\Precip\R-normal_maps_1991-2020\WI-Precip-maps-1991-2020-jja.grd
Grid Size (X*Y): 	100 x 75
Total Nodes:	7500
Filled Nodes:	7500
NoData Nodes:	0
NoData Value:	1.70141E+38

Grid Geometry

X Minimum:	-93.2289
X Maximum:	-86.8911
X Spacing:	0.064018181818182

Y Minimum:	42.1928
Y Maximum:	46.9386
Y Spacing:	0.064132432432432

Univariate Grid Statistics

——————————————————————————————
	Z
——————————————————————————————
 Count:                 	7500

 1%-tile:               	9.49450529008
 5%-tile:               	10.2624252631
10%-tile:               	10.8051496802
25%-tile:               	11.5999400904
50%-tile:               	12.7274561217
75%-tile:               	13.83376818
90%-tile:               	14.4813074449
95%-tile:               	14.7302761711
99%-tile:               	14.9839427477

Minimum:                	8.96149444769
Maximum:                	15.7658234648

Mean:                   	12.651585374
Median:                 	12.7275316559
Geometric Mean:         	12.5720592372
Harmonic Mean:          	12.4902750175
Root Mean Square:       	12.7285542277
Trim Mean (10%):        	12.6859226359
Interquartile Mean:     	12.7241612358
Midrange:               	12.3636589562
Winsorized Mean:        	12.6868803408
TriMean:                	12.7221551285

Variance:               	1.95374075261
Standard Deviation:     	1.39776276693
Interquartile Range:    	2.23382808966
Range:                  	6.80432901711
Mean Difference:        	1.60258585572
Median Abs. Deviation:  	1.11489482754
Average Abs. Deviation: 	1.17967304557
Quartile Dispersion:    	0.0878294295865
Relative Mean Diff.:    	0.126670753771

Standard Error:         	0.016139974195
Coef. of Variation:     	0.110481234218
Skewness:               	-0.253741051286
Kurtosis:               	2.19334474749

Sum:                    	94886.8903047
Sum Absolute:           	94886.8903047
Sum Squares:            	1215120.69546
Mean Square:            	162.016092728