——————————
Gridding Report
——————————

Mon Jan 15 18:07:47 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: 	T

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Superseded Data:	0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	7.24
 5%-tile:               	-92.4853	42.5039	7.66
10%-tile:               	-91.9364	42.6783	7.83
25%-tile:               	-90.9189	43.1456	8.18
50%-tile:               	-89.5691	44.0328	8.64
75%-tile:               	-88.4177	45.1453	9.04
90%-tile:               	-87.9403	46.0003	9.31
95%-tile:               	-87.7997	46.4378	9.46
99%-tile:               	-87.505	46.7781	10.32

Minimum:                	-93.2289	42.1928	6.26
Maximum:                	-86.8911	46.9386	10.77

Mean:                   	-89.7484947059	44.2009529412	8.60752941176
Median:                 	-89.56635	44.03695	8.64
Geometric Mean:         	N/A	44.1840527222	8.5845038373
Harmonic Mean:          	N/A	44.16725854	8.56140498203
Root Mean Square:       	89.7611094803	44.217953016	8.63053982362
Trim Mean (10%):        	-89.7119322476	44.1622964169	8.59302931596
Interquartile Mean:     	-89.6109578947	44.0693321637	8.61052631579
Midrange:               	-90.06	44.5657	8.515
Winsorized Mean:        	-89.7174664706	44.1797211765	8.59308823529
TriMean:                	-89.6187	44.089125	8.625

Variance:               	2.27115303065	1.50756202332	0.397825146625
Standard Deviation:     	1.50703451541	1.22782817337	0.630733815983
Interquartile Range:    	2.5012	1.9997	0.86
Range:                  	6.3378	4.7458	4.51
Mean Difference:        	1.72535403436	1.40684045809	0.700294985251
Median Abs. Deviation:  	1.26855	0.9493	0.43
Average Abs. Deviation: 	1.27930588235	1.04001117647	0.498
Quartile Dispersion:    	N/A	0.0226489932711	0.0499419279907
Relative Mean Diff.:    	N/A	0.0318282834302	0.0813584190945

Standard Error:         	0.0817304218443	0.066588331943	0.0342063438657
Coef. of Variation:     	N/A	0.0277783190558	0.0732769864395
Skewness:               	-0.357934308147	0.358469873057	0.199252817966
Kurtosis:               	2.05453433061	2.05965788522	3.91127669004

Sum:                    	-30514.4882	15028.324	2926.56
Sum Absolute:           	30514.4882	15028.324	2926.56
Sum Squares:            	2739399.30355	664777.305435	25325.314
Mean Square:            	8057.05677514	1955.22736893	74.4862176471
————————————————————————————————————————————

Inter-Variable Covariance

————————————————————————————————
	X	Y	Z
————————————————————————————————
X: 	2.271153	-0.76031279	-0.0067879072
Y: 	-0.76031279	1.507562	0.0022957212
Z: 	-0.0067879072	0.0022957212	0.39782515
————————————————————————————————

Inter-Variable Correlation

————————————————————————————————
	X	Y	Z
————————————————————————————————
X: 	1.000	-0.411	-0.007
Y: 	-0.411	1.000	0.003
Z: 	-0.007	0.003	1.000
————————————————————————————————

Inter-Variable Rank Correlation

————————————————————————————————
	X	Y	Z
————————————————————————————————
X: 	1.000	-0.395	-0.051
Y: 	-0.395	1.000	-0.109
Z: 	-0.051	-0.109	1.000
————————————————————————————————

Principal Component Analysis

————————————————————————————————————————
	PC1	PC2	PC3
————————————————————————————————————————
X:      	0.524987573422	0.524987573422	0.00385598701472
Y:      	0.851106184182	0.851106184182	0.000573143316728
Z:      	-0.00251217017625	-0.00251217017625	0.000573143316728

Lambda: 	2.740168174	1.03857173847	0.397800288131
————————————————————————————————————————

Planar Regression: Z = AX+BY+C

Fitted Parameters
————————————————————————————————————————
	A	B	C
————————————————————————————————————————
Parameter Value: 	-0.00298251456295	1.862423924e-05	8.33903001018
Standard Error:  	0.0250065236581	0.0306929707923	2.09199111608
————————————————————————————————————————

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	0.00687756021428	0.00343878010714	0.00859339005786
Residual:  	337	134.855847146	0.400165718533
Total:     	339	134.862724706
————————————————————————————————————————————————————

Coefficient of Multiple Determination (R^2): 	5.09967467236e-05

Nearest Neighbor Statistics

—————————————————————————————————
	Separation	|Delta Z|
—————————————————————————————————
 1%-tile:               	0.00433820239269	0.01
 5%-tile:               	0.0208786972774	0.02
10%-tile:               	0.0349012893745	0.05
25%-tile:               	0.0655149601236	0.13
50%-tile:               	0.123486760424	0.33
75%-tile:               	0.189315213335	0.54
90%-tile:               	0.255756857191	0.93
95%-tile:               	0.301159426218	1.05
99%-tile:               	0.356217517817	1.36

Minimum:                	0.000800000000012	0
Maximum:                	0.41624533631	2.63

Mean:                   	0.136554806364	0.403705882353
Median:                 	0.124012513818	0.33
Geometric Mean:         	0.102355955061	N/A
Harmonic Mean:          	0.0437389084693	N/A
Root Mean Square:       	0.161607591005	0.55478506702
Trim Mean (10%):        	0.131731285635	0.364625407166
Interquartile Mean:     	0.126029700511	0.31649122807
Midrange:               	0.208522668155	1.315
Winsorized Mean:        	0.13290972448	0.375441176471
TriMean:                	0.125450923577	0.3325

Variance:               	0.00749183313295	0.145235193476
Standard Deviation:     	0.0865553761066	0.381097354328
Interquartile Range:    	0.123800253211	0.41
Range:                  	0.41544533631	2.63
Mean Difference:        	0.097285355477	0.379862918619
Median Abs. Deviation:  	0.0628498726619	0.2
Average Abs. Deviation: 	0.0689493000164	0.262882352941
Quartile Dispersion:    	0.485814735088	N/A
Relative Mean Diff.:    	0.712427179004	0.940939766359

Standard Error:         	0.00469412434136	0.020667905887
Coef. of Variation:     	0.633850820865	0.943997526384
Skewness:               	0.644865598924	2.244947658
Kurtosis:               	2.88352126192	11.6512427489

Sum:                    	46.4286341636	137.26
Sum Absolute:           	46.4286341636	137.26
Sum Squares:            	8.87978458	104.6474
Mean Square:            	0.0261170134706	0.307786470588
—————————————————————————————————

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: 	0.150735

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-son.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:               	7.56370297664
 5%-tile:               	7.83039976715
10%-tile:               	7.98712316836
25%-tile:               	8.26470769261
50%-tile:               	8.68682306952
75%-tile:               	9.00045851133
90%-tile:               	9.24122066885
95%-tile:               	9.4363559881
99%-tile:               	9.99432129393

Minimum:                	6.53026241835
Maximum:                	10.7300443529

Mean:                   	8.65291951281
Median:                 	8.68687070141
Geometric Mean:         	8.63742836406
Harmonic Mean:          	8.62195732989
Root Mean Square:       	8.6684367471
Trim Mean (10%):        	8.64430029596
Interquartile Mean:     	8.66302296637
Midrange:               	8.63015338564
Winsorized Mean:        	8.64200178604
TriMean:                	8.65970308575

Variance:               	0.268815385481
Standard Deviation:     	0.518474093356
Interquartile Range:    	0.735750818721
Range:                  	4.19978193458
Mean Difference:        	0.581377538988
Median Abs. Deviation:  	0.365978817741
Average Abs. Deviation: 	0.41508862938
Quartile Dispersion:    	0.0426147544732
Relative Mean Diff.:    	0.067188598961

Standard Error:         	0.00598682314734
Coef. of Variation:     	0.0599189779344
Skewness:               	0.189074000847
Kurtosis:               	3.3829480461

Sum:                    	64896.896346
Sum Absolute:           	64896.896346
Sum Squares:            	563563.467289
Mean Square:            	75.1417956385