decoding health data with spatial statistics2015 esri health and human services gis...
TRANSCRIPT
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esri HEALTH AND HUMAN SERVICESGIS CONFERENCE
MAKING PLACE MATTER
Decoding Health Data with Spatial Statistics
Flora ValeJenora D’Acosta
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Wait a minute…
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Wait a minute…Where is Lauren??
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Wait a minute…Where is Lauren??
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DAY 1
DAY 2
What are Spatial Statistics?Measuring Geographic DistributionsAnalyzing PatternsMultivariate Analysis
Subjectivity of MapsMapping ClustersSpace Time Pattern MiningModeling Spatial Relationships
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Are you using
Data or Information?
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Spreadsheets
Data or Information?
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Maps
Data or Information?
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When you look at a spreadsheet…
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You ask for more
• Mean
• Standard Deviations
• Min and Max
• …
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Same goes for maps!
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We can do more
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What are Spatial Statistics?
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Spatial Statistics are a set of exploratory techniques for describing and modeling
spatial distributions, patterns, processes, and
relationships.
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Spatial Statistics are a set of exploratory techniques for describing and modeling
spatial distributions, patterns, processes, and
relationships.
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Spatial Statistics are a set of exploratory techniques for describing and modeling
spatial distributions, patterns, processes, and
relationships.
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Spatial Statistics are a set of exploratory techniques for describing and modeling
spatial distributions, patterns, processes, and
relationships.
![Page 18: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/18.jpg)
Spatial Statistics are a set of exploratory techniques for describing and modeling
spatial distributions, patterns, processes, and
relationships.
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Spatial Statistics are a set of exploratory techniques for describing and modeling
spatial distributions, patterns, processes, and
relationships.
![Page 20: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/20.jpg)
Spatial Statistics are a set of exploratory techniques for describing and modeling
spatial distributions, patterns, processes, and
relationships.
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proximityarea
lengthorientation
connectivitycoincidence
direction
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python script!
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Measuring Geographic Distributions
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Descriptive Statistics
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Mean
Median
Standard Deviation
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Central Feature
identifies the most centrally located feature in a point, line, or polygon feature class
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Y
X
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X
Y
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X
Y
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X
Y
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X
Y
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X
Y
central feature
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Mean Center
identifies the geographic center (or the center of concentration) for a set of features
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X
Y
(25,24)
(24,16)
(22,23)
(18,12)
(14,8)
(12,12)
(14,14)
(9,18)
(13,12)
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X
Y (25,24)
(24,16)
(22,23)
(18,12)
(14,8)
(12,12)
(14,14)
(9,18)
(13,12)
(17,15)
mean center
mean =
(17,15)
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Median Center
identifies the location that minimizes overall Euclidean distance to the features in a
dataset
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Y
X
(25,24)
(24,16)
(22,23)
(18,12)
(14,8)
(12,12)
(14,14)
(9,18)
(13,12)
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X
YX: 25 . 24 . 22 . 18 . 14 . 14 . 13 . 12 . 9
Y: 24 . 23 . 18 . 16 . 14 . 12 . 12 . 12 . 8
(14,14)
median center
median =
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Mean vs Median?
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X
Y(176,138)
(25,24)
(24,16)
(22,23)
(18,12)
(14,8)
(12,12)
(14,14)
(9,18)
(13,12)
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X
Y
(25,24)
(24,16)
(22,23)
(18,12)
(14,8)
(12,12)
(14,14)
(9,18)
(13,12)
(33,28)
mean =
(74,38)
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X
Y
(25,24)
(24,16)
(22,23)
(18,12)
(14,8)
(12,12)
(14,14)
(9,18)
(13,12)
(33,28)
mean =
(74,38)
X: 74 . 25 . 24 . 22 . 18 . 14 . 14 . 13 . 12 . 9
Y: 38 . 24 . 23 . 18 . 16 . 14 . 12 . 12 . 12 . 8
(16,15)median =
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X
Y
(25,24)
(24,16)
(22,23)
(18,12)
(14,8)
(12,12)
(14,14)
(9,18)
(13,12)
(33,28)
mean =
(74,38)
X: 74 . 25 . 24 . 22 . 18 . 14 . 14 . 13 . 12 . 9
Y: 38 . 24 . 23 . 18 . 16 . 14 . 12 . 12 . 12 . 8
(16,15)median =
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X
Y
(17,15)
(33,28)
(14,14)
(16,15)
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Linear Directional Mean
identifies the mean direction, length, and geographic center for a set of lines
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Y
X
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Y
X
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Standard Distance
measures the degree to which features are concentrated or dispersed around the
geometric mean center
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X
Y
mean center
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X
Y
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Directional Distribution(Standard Deviational Ellipse)
creates standard deviational ellipses to summarize the spatial characteristics of geographic features: central tendency,
dispersion, and directional trends
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X
Y
mean center
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X
Y
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Analyzing Patterns
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InferentialStatistics
Global
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Is there a PATTERN?
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Clustered
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Dispersed
Clustered
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Complete Spatial RANDOMNESS
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z-scores and p-values
z-scores …-2.58 -1.96 -1.65 0 1.65 1.96 2.58…p-value …-0.01 -0.05 -0.10 0 0.10 0.05 0.01…
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99%99%95%95%
90% 90%random
z-scores …-2.58 -1.96 -1.65 0 1.65 1.96 2.58…p-values …0.01 0.05 0.10 0 0.10 0.05 0.01…
z-scores and p-values
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How intense is the clustering?
![Page 69: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/69.jpg)
How intense is the clustering?
Compared to what?
![Page 70: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/70.jpg)
How intense is the clustering?
Compared to where?
![Page 71: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/71.jpg)
How intense is the clustering?
Compared to when?
![Page 72: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/72.jpg)
Is the spatial segregation of the rich and the poor increasing or decreasing in New York?
An Example20021969 1985
![Page 73: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/73.jpg)
An Example20021969 1985
6
4
2
1969 1979 1989 1999
5.21 4.26 2.40
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Average Nearest Neighbor
calculates a nearest neighbor index based on the average distance from each feature
to its nearest neighboring feature
![Page 75: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/75.jpg)
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average distance =
expected average distance
=
![Page 82: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/82.jpg)
=ANN ratio
observed
expected
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=ANN ratio
observed
expected
Clustered 1<
![Page 84: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/84.jpg)
=ANN ratio
observed
expected
DispersedClustered 1< <
![Page 85: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/85.jpg)
Spatial Autocorrelation(Moran’s I)
measures spatial autocorrelation based on feature locations and attribute values using
the Global Moran's I statistic
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DispersedClustered
Are distances and values correlated?
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16
1617
14
32
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16
1617
14
32
18
2
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Incremental Spatial Autocorrelation
measures spatial autocorrelation for a series of distances and optionally creates a line
graph of those distances and their corresponding z-scores
![Page 90: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/90.jpg)
Spatial Autocorrelation by Distance
z-sc
ore
5
4
3
2
1
Distance (meters)60 80 100 120 140 160 180
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z-sc
ore
Spatial Autocorrelation by Distance5
4
3
2
1
Distance (meters)60 80 100 120 140 160 180
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Spatial Autocorrelation by Distance
z-sc
ore
5
4
3
2
1
Distance (meters)60 80 100 120 140 160 180
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Spatial Autocorrelation by Distance
z-sc
ore
Distance (meters)60 80 100 120 140 160 180
5
4
3
2
1
Fixed Distance Band = 70.3 meters
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High/Low Clustering(Getis-Ord General G)
measures the concentration of high or low values for a given study area
![Page 95: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/95.jpg)
Low value clusters
High value clusters
What type of clustering is present in the data?
![Page 96: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/96.jpg)
Multi-Distance Spatial Cluster Analysis(Ripleys K Function)
determines whether features, or the values associated with features, exhibit statistically
significant clustering or dispersion over a range of distances
![Page 97: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/97.jpg)
L(d
)
5
4
3
2
1
Distance (meters)60 80 100 120 140 160 180
Spatial Clustering by Distance
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Spatial Clustering by Distance
L(d
)
Distance (meters)60 80 100 120 140 160 180
5
4
3
2
1
statistically significant clustering
statistically significant dispersion
![Page 99: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/99.jpg)
dispersed
![Page 100: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/100.jpg)
clustered
![Page 101: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/101.jpg)
Grouping Analysis
groups features based on feature attributes and optional spatial/temporal constraints
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3 groups 4 groupsK Means
![Page 104: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/104.jpg)
2 groups 3 groups 4 groups
K Means
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2 groups 3 groups 4 groups
K Means
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2 groups 3 groups 4 groups
K Means
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Minimum Spanning Tree
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Minimum Spanning Tree
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Minimum Spanning Tree
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Minimum Spanning Tree
![Page 111: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/111.jpg)
MATH!
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interpret results through box plots
![Page 113: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/113.jpg)
Similarity Search
identifies which candidate features are most similar or most dissimilar to one or more
input features based on feature attributes
![Page 114: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/114.jpg)
potential store
locations
![Page 115: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/115.jpg)
potential store
locations
high performing
store
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LocID PopDensity AvIncome DistToCompetition
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LocID PopDensity AvIncome DistToCompetition
LocID PopDensity AvIncome DistToCompetition
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Rank by how similar they are to based on:
LocID PopDensity AvIncome DistToCompetition
LocID PopDensity AvIncome DistToCompetition
• PopDensity• AvIncome• DistToCompetition
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1
2
3
4
5
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Input Feature(s) to Match
Candidate Features
Attributes of InterestPopDensity AvIncome DistToCompetition
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Input Feature(s) to Match
Candidate Features
Attributes of InterestPopDensity AvIncome DistToCompetition
average
![Page 124: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/124.jpg)
3 Match Methods
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3 Match MethodsAttribute Values
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3 Match MethodsAttribute Values
Ranked Attribute Values
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3 Match MethodsAttribute Values
Ranked Attribute Values
Attribute Profiles
![Page 128: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/128.jpg)
Attribute Values
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Attribute Values
standardize attributes
Z-transform: ( x - x ) / SD
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Attribute Values
standardize attributes
Population = 14,159
% Uninsured = .26
Distance (km) = 535.89
![Page 131: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/131.jpg)
Attribute Values
standardize attributes
Population = -.7932
% Uninsured = 3.8462
Distance (km) = .6433
![Page 132: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/132.jpg)
Attribute Values
sum squares
square differences
subtract candidate
from target
standardize attributes
![Page 133: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/133.jpg)
Ranked Attribute Values
![Page 134: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/134.jpg)
Ranked Attribute Values
rank attributes
![Page 135: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/135.jpg)
Ranked Attribute Values
rank attributes
8.8
2.7
0.2
8.3
9.5
4.1
![Page 136: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/136.jpg)
Ranked Attribute Values
rank attributes
8.8
2.7
0.2
8.3
9.5
4.1
5
2
1
4
6
3
![Page 137: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/137.jpg)
Ranked Attribute Values
sum squares
square differences
subtract candidate
from target
rank attributes
![Page 138: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/138.jpg)
Attribute Profiles
![Page 139: Decoding Health Data with Spatial Statistics2015 Esri Health and Human Services GIS Conference--Presentation, 2015 Esri Health and Human Services GIS Conference, Decoding Health Data](https://reader031.vdocuments.mx/reader031/viewer/2022011912/5f976fb473adc16e7f7b64c6/html5/thumbnails/139.jpg)
Attribute Profiles
cosine similarity index
cosine similarity
index
standardize attributes
* Must have at least 2 attributes of interest
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Dengue Fever Risk in Kenya
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questions?
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