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Gridding Report
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Sun Jan 14 15:52:28 2024
Elapsed time for gridding: 	0.33 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: 	O

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Superseded Data:	0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	29.2
 5%-tile:               	-92.4853	42.5039	30.95
10%-tile:               	-91.9364	42.6783	31.53
25%-tile:               	-90.9189	43.1456	33.06
50%-tile:               	-89.5691	44.0328	34.71
75%-tile:               	-88.4177	45.1453	37.13
90%-tile:               	-87.9403	46.0003	38.68
95%-tile:               	-87.7997	46.4378	39.35
99%-tile:               	-87.505	46.7781	40.22

Minimum:                	-93.2289	42.1928	24.94
Maximum:                	-86.8911	46.9386	41.75

Mean:                   	-89.7484947059	44.2009529412	34.9576470588
Median:                 	-89.56635	44.03695	34.72
Geometric Mean:         	N/A	44.1840527222	34.8545130499
Harmonic Mean:          	N/A	44.16725854	34.750113436
Root Mean Square:       	89.7611094803	44.217953016	35.0595639549
Trim Mean (10%):        	-89.7119322476	44.1622964169	34.9661237785
Interquartile Mean:     	-89.6109578947	44.0693321637	34.8542105263
Midrange:               	-90.06	44.5657	33.345
Winsorized Mean:        	-89.7174664706	44.1797211765	34.9840294118
TriMean:                	-89.6187	44.089125	34.9025

Variance:               	2.27115303065	1.50756202332	7.15698677772
Standard Deviation:     	1.50703451541	1.22782817337	2.67525452578
Interquartile Range:    	2.5012	1.9997	4.07
Range:                  	6.3378	4.7458	16.81
Mean Difference:        	1.72535403436	1.40684045809	3.0411514836
Median Abs. Deviation:  	1.26855	0.9493	1.95
Average Abs. Deviation: 	1.27930588235	1.04001117647	2.19182352941
Quartile Dispersion:    	N/A	0.0226489932711	0.0579854680154
Relative Mean Diff.:    	N/A	0.0318282834302	0.0869953140291

Standard Error:         	0.0817304218443	0.066588331943	0.145086047265
Coef. of Variation:     	N/A	0.0277783190558	0.0765284494486
Skewness:               	-0.357934308147	0.358469873057	-0.0628824185797
Kurtosis:               	2.05453433061	2.05965788522	2.77614407538

Sum:                    	-30514.4882	15028.324	11885.6
Sum Absolute:           	30514.4882	15028.324	11885.6
Sum Squares:            	2739399.30355	664777.305435	417918.8284
Mean Square:            	8057.05677514	1955.22736893	1229.17302471
————————————————————————————————————————————

Inter-Variable Covariance

————————————————————————————————
	X	Y	Z
————————————————————————————————
X: 	2.271153	-0.76031279	-0.026398819
Y: 	-0.76031279	1.507562	-2.0324623
Z: 	-0.026398819	-2.0324623	7.1569868
————————————————————————————————

Inter-Variable Correlation

————————————————————————————————
	X	Y	Z
————————————————————————————————
X: 	1.000	-0.411	-0.007
Y: 	-0.411	1.000	-0.619
Z: 	-0.007	-0.619	1.000
————————————————————————————————

Inter-Variable Rank Correlation

————————————————————————————————
	X	Y	Z
————————————————————————————————
X: 	1.000	-0.395	-0.052
Y: 	-0.395	1.000	-0.672
Z: 	-0.052	-0.672	1.000
————————————————————————————————

Principal Component Analysis

————————————————————————————————————————
	PC1	PC2	PC3
————————————————————————————————————————
X:      	0.919701191961	0.919701191961	0.390774625563
Y:      	-0.360845335293	-0.360845335293	0.879455372479
Z:      	-0.154726731697	-0.154726731697	0.879455372479

Lambda: 	7.8201212661	2.57390345398	0.541677111614
————————————————————————————————————————

Planar Regression: Z = AX+BY+C

Fitted Parameters
————————————————————————————————————————
	A	B	C
————————————————————————————————————————
Parameter Value: 	-0.556992416877	-1.62908768499	56.9756441828
Standard Error:  	0.077604522009	0.0952516775199	6.49222470226
————————————————————————————————————————

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	1127.43372379	563.716861896	146.269484642
Residual:  	337	1298.78479386	3.85396081263
Total:     	339	2426.21851765
————————————————————————————————————————————————————

Coefficient of Multiple Determination (R^2): 	0.464687626276

Nearest Neighbor Statistics

—————————————————————————————————
	Separation	|Delta Z|
—————————————————————————————————
 1%-tile:               	0.00433820239269	0.01
 5%-tile:               	0.0208786972774	0.08
10%-tile:               	0.0349012893745	0.22
25%-tile:               	0.0655149601236	0.62
50%-tile:               	0.123486760424	1.08
75%-tile:               	0.189315213335	2.15
90%-tile:               	0.255756857191	3.58
95%-tile:               	0.301159426218	4.44
99%-tile:               	0.356217517817	5.97

Minimum:                	0.000800000000012	0
Maximum:                	0.41624533631	10.58

Mean:                   	0.136554806364	1.58058823529
Median:                 	0.124012513818	1.095
Geometric Mean:         	0.102355955061	N/A
Harmonic Mean:          	0.0437389084693	N/A
Root Mean Square:       	0.161607591005	2.17660434406
Trim Mean (10%):        	0.131731285635	1.4116286645
Interquartile Mean:     	0.126029700511	1.2118128655
Midrange:               	0.208522668155	5.29
Winsorized Mean:        	0.13290972448	1.44605882353
TriMean:                	0.125450923577	1.2325

Variance:               	0.00749183313295	2.24595304529
Standard Deviation:     	0.0865553761066	1.49865040796
Interquartile Range:    	0.123800253211	1.53
Range:                  	0.41544533631	10.58
Mean Difference:        	0.097285355477	1.48658754121
Median Abs. Deviation:  	0.0628498726619	0.7
Average Abs. Deviation: 	0.0689493000164	1.01264705882
Quartile Dispersion:    	0.485814735088	N/A
Relative Mean Diff.:    	0.712427179004	0.940528031284

Standard Error:         	0.00469412434136	0.0812757297774
Coef. of Variation:     	0.633850820865	0.948159915719
Skewness:               	0.644865598924	2.11288129105
Kurtosis:               	2.88352126192	9.65321378413

Sum:                    	46.4286341636	537.4
Sum Absolute:           	46.4286341636	537.4
Sum Squares:            	8.87978458	1610.7862
Mean Square:            	0.0261170134706	4.73760647059
—————————————————————————————————

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: 	2.71176

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-ann.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:               	30.3710747284
 5%-tile:               	31.0502236127
10%-tile:               	31.4445120649
25%-tile:               	32.6002478937
50%-tile:               	34.1038809292
75%-tile:               	36.3769745288
90%-tile:               	38.2163315722
95%-tile:               	38.7223301532
99%-tile:               	39.2977535929

Minimum:                	26.0675605455
Maximum:                	41.1208393409

Mean:                   	34.4820396338
Median:                 	34.1046079189
Geometric Mean:         	34.396875545
Harmonic Mean:          	34.3127681109
Root Mean Square:       	34.5680687497
Trim Mean (10%):        	34.4405265599
Interquartile Mean:     	34.2103083712
Midrange:               	33.5941999432
Winsorized Mean:        	34.4772035676
TriMean:                	34.2962460702

Variance:               	5.94111192528
Standard Deviation:     	2.43743962495
Interquartile Range:    	3.7767266351
Range:                  	15.0532787955
Mean Difference:        	2.78531142686
Median Abs. Deviation:  	1.7975693396
Average Abs. Deviation: 	2.02775341416
Quartile Dispersion:    	0.0547532432078
Relative Mean Diff.:    	0.0807757156028

Standard Error:         	0.028145128472
Coef. of Variation:     	0.070687222996
Skewness:               	0.322496592482
Kurtosis:               	2.10868956358

Sum:                    	258615.297254
Sum Absolute:           	258615.297254
Sum Squares:            	8962135.32813
Mean Square:            	1194.95137708