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Gridding Report
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Mon Jan 15 17:57:01 2024
Elapsed time for gridding: 	0.10 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: 	R

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Superseded Data:	0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	7.21
 5%-tile:               	-92.4853	42.5039	7.73
10%-tile:               	-91.9364	42.6783	8.06
25%-tile:               	-90.9189	43.1456	8.51
50%-tile:               	-89.5691	44.0328	9.39
75%-tile:               	-88.4177	45.1453	10.14
90%-tile:               	-87.9403	46.0003	10.68
95%-tile:               	-87.7997	46.4378	10.82
99%-tile:               	-87.505	46.7781	11.08

Minimum:                	-93.2289	42.1928	6.47
Maximum:                	-86.8911	46.9386	11.41

Mean:                   	-89.7484947059	44.2009529412	9.32991176471
Median:                 	-89.56635	44.03695	9.4
Geometric Mean:         	N/A	44.1840527222	9.27525921154
Harmonic Mean:          	N/A	44.16725854	9.2195247777
Root Mean Square:       	89.7611094803	44.217953016	9.38328907279
Trim Mean (10%):        	-89.7119322476	44.1622964169	9.3396742671
Interquartile Mean:     	-89.6109578947	44.0693321637	9.34356725146
Midrange:               	-90.06	44.5657	8.94
Winsorized Mean:        	-89.7174664706	44.1797211765	9.35038235294
TriMean:                	-89.6187	44.089125	9.3575

Variance:               	2.27115303065	1.50756202332	1.00180677685
Standard Deviation:     	1.50703451541	1.22782817337	1.00090298074
Interquartile Range:    	2.5012	1.9997	1.63
Range:                  	6.3378	4.7458	4.94
Mean Difference:        	1.72535403436	1.40684045809	1.1492644456
Median Abs. Deviation:  	1.26855	0.9493	0.815
Average Abs. Deviation: 	1.27930588235	1.04001117647	0.853970588235
Quartile Dispersion:    	N/A	0.0226489932711	0.087399463807
Relative Mean Diff.:    	N/A	0.0318282834302	0.123180633921

Standard Error:         	0.0817304218443	0.066588331943	0.0542815854609
Coef. of Variation:     	N/A	0.0277783190558	0.107278933175
Skewness:               	-0.357934308147	0.358469873057	-0.145472020441
Kurtosis:               	2.05453433061	2.05965788522	2.18184258688

Sum:                    	-30514.4882	15028.324	3172.17
Sum Absolute:           	30514.4882	15028.324	3172.17
Sum Squares:            	2739399.30355	664777.305435	29935.6787
Mean Square:            	8057.05677514	1955.22736893	88.0461138235
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Inter-Variable Covariance

————————————————————————————————
	X	Y	Z
————————————————————————————————
X: 	2.271153	-0.76031279	0.093614086
Y: 	-0.76031279	1.507562	-0.95403767
Z: 	0.093614086	-0.95403767	1.0018068
————————————————————————————————

Inter-Variable Correlation

————————————————————————————————
	X	Y	Z
————————————————————————————————
X: 	1.000	-0.411	0.062
Y: 	-0.411	1.000	-0.776
Z: 	0.062	-0.776	1.000
————————————————————————————————

Inter-Variable Rank Correlation

————————————————————————————————
	X	Y	Z
————————————————————————————————
X: 	1.000	-0.395	0.033
Y: 	-0.395	1.000	-0.783
Z: 	0.033	-0.783	1.000
————————————————————————————————

Principal Component Analysis

————————————————————————————————————————
	PC1	PC2	PC3
————————————————————————————————————————
X:      	0.657326223773	0.657326223773	0.203182672786
Y:      	0.46578072292	0.46578072292	0.647475542538
Z:      	-0.59242767803	-0.59242767803	0.647475542538

Lambda: 	2.9457948197	1.64802466628	0.186702344851
————————————————————————————————————————

Planar Regression: Z = AX+BY+C

Fitted Parameters
————————————————————————————————————————
	A	B	C
————————————————————————————————————————
Parameter Value: 	-0.205296276783	-0.736372395128	23.453241539
Standard Error:  	0.0223754564068	0.0274636026722	1.87188178018
————————————————————————————————————————

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
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ANOVA Table
————————————————————————————————————————————————————
Source 	df 	Sum of Squares 	Mean Square	F 
————————————————————————————————————————————————————
Regression:	2	231.641542031	115.820771015	361.500921389
Residual:  	337	107.970955322	0.320388591461
Total:     	339	339.612497353
————————————————————————————————————————————————————

Coefficient of Multiple Determination (R^2): 	0.682076024399

Nearest Neighbor Statistics

—————————————————————————————————
	Separation	|Delta Z|
—————————————————————————————————
 1%-tile:               	0.00433820239269	0.02
 5%-tile:               	0.0208786972774	0.03
10%-tile:               	0.0349012893745	0.06
25%-tile:               	0.0655149601236	0.18
50%-tile:               	0.123486760424	0.39
75%-tile:               	0.189315213335	0.73
90%-tile:               	0.255756857191	0.96
95%-tile:               	0.301159426218	1.36
99%-tile:               	0.356217517817	1.65

Minimum:                	0.000800000000012	0
Maximum:                	0.41624533631	2.98

Mean:                   	0.136554806364	0.499764705882
Median:                 	0.124012513818	0.39
Geometric Mean:         	0.102355955061	N/A
Harmonic Mean:          	0.0437389084693	N/A
Root Mean Square:       	0.161607591005	0.657297944798
Trim Mean (10%):        	0.131731285635	0.458436482085
Interquartile Mean:     	0.126029700511	0.410058479532
Midrange:               	0.208522668155	1.49
Winsorized Mean:        	0.13290972448	0.454058823529
TriMean:                	0.125450923577	0.4225

Variance:               	0.00749183313295	0.182813513795
Standard Deviation:     	0.0865553761066	0.427566969953
Interquartile Range:    	0.123800253211	0.55
Range:                  	0.41544533631	2.98
Mean Difference:        	0.097285355477	0.443960090231
Median Abs. Deviation:  	0.0628498726619	0.23
Average Abs. Deviation: 	0.0689493000164	0.314117647059
Quartile Dispersion:    	0.485814735088	N/A
Relative Mean Diff.:    	0.712427179004	0.888338221978

Standard Error:         	0.00469412434136	0.023188074635
Coef. of Variation:     	0.633850820865	0.855536545339
Skewness:               	0.644865598924	1.71492199564
Kurtosis:               	2.88352126192	7.8671163478

Sum:                    	46.4286341636	169.92
Sum Absolute:           	46.4286341636	169.92
Sum Squares:            	8.87978458	146.8938
Mean Square:            	0.0261170134706	0.432040588235
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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: 	0.379581

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-1991-2020mam.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:               	7.31013775621
 5%-tile:               	7.53264334019
10%-tile:               	7.70868093162
25%-tile:               	8.2265671057
50%-tile:               	8.93652047018
75%-tile:               	10.0932583246
90%-tile:               	10.5530142544
95%-tile:               	10.7873212995
99%-tile:               	11.1552284211

Minimum:                	6.76852017042
Maximum:                	11.3729736681

Mean:                   	9.11066927633
Median:                 	8.93655737579
Geometric Mean:         	9.04804402772
Harmonic Mean:          	8.98586664813
Root Mean Square:       	9.17321740042
Trim Mean (10%):        	9.09999228385
Interquartile Mean:     	9.05931665415
Midrange:               	9.07074691928
Winsorized Mean:        	9.10209836786
TriMean:                	9.04821659266

Variance:               	1.14377531601
Standard Deviation:     	1.0694743176
Interquartile Range:    	1.86669121887
Range:                  	4.60445349773
Mean Difference:        	1.22940859758
Median Abs. Deviation:  	0.918177932978
Average Abs. Deviation: 	0.941102134507
Quartile Dispersion:    	0.101894596429
Relative Mean Diff.:    	0.134941633846

Standard Error:         	0.0123492257032
Coef. of Variation:     	0.117387020115
Skewness:               	0.139695960991
Kurtosis:               	1.78333789761

Sum:                    	68330.0195725
Sum Absolute:           	68330.0195725
Sum Squares:            	631109.381065
Mean Square:            	84.1479174753