MDS & Cluster Analysis ProjectAndrew Lexvold & Maddie Moyer

Data Set• 2010 County Health Data• Variables

– Chlamydia Rate*– Teen Birth Rate*– % College Degrees– % High School Graduation

• Goal: To understand what Counties were similar with respect to these variables

*Rate is per 100,000 residents

Classic Multidimensional Scaling(Dissimilarity Matrix)

Additional Plot

Single Cluster

Here you can see again there should be 4 clusters within the data set

1: Ramsey, Blue Earth, Hennepin2: Mahnomen3: Beltrami4: All Else

Single Cluster

Complete Cluster

Here there should be 3 Clusters

1: Beltrami, Ramsey, Blue Earth, Hennepin2: Traverse – Otter Tail3: Kandiyohi – Yellow Medicine

Complete Cluster

Average Cluster

Here there should be 3 Clusters for the Data Set

1: Beltrami, Ramsey, Blue Earth, Hennepin2: Kandiyohi – Olmsted3: Traverse – Le Sueur

Average Cluster

Cut 1 2 3Minnesota 1 1 1Aitkin 1 1 2Anoka 1 1 1Becker 1 1 2Beltrami 1 2 3Benton 1 1 1Big Stone 1 1 2Blue Earth 1 2 3Brown 1 1 2Carlton 1 1 1Carver 1 1 2Cass 1 1 1Chippewa 1 1 1Chisago 1 1 1Clay 1 1 1Clearwater 1 1 2Cook 1 1 2Cottonwood 1 1 2Crow Wing 1 1 1Dakota 1 1 1Dodge 1 1 1Douglas 1 1 2Faribault 1 1 1Fillmore 1 1 2Freeborn 1 1 1Goodhue 1 1 1Grant 1 1 2Hennepin 1 2 3Houston 1 1 2Hubbard 1 1 2Cut 1 2 3

Isanti 1 1 1Itasca 1 1 1Jackson 1 1 2Kanabec 1 1 2Kandiyohi 1 1 1Kittson 1 1 2Koochiching 1 1 1Lac qui Parle 1 1 2Lake 1 1 2Lake of the Woods 1 1 2Le Sueur 1 1 1Lincoln 1 1 2Lyon 1 1 1McLeod 1 1 1Mahnomen 1 1 1Marshall 1 1 2Martin 1 1 2Meeker 1 1 2Mille Lacs 1 1 1Morrison 1 1 2Mower 1 1 1Murray 1 1 1Nicollet 1 1 2Nobles 1 1 1Norman 1 1 2Olmsted 1 1 1Otter Tail 1 1 2Pennington 1 1 2Pine 1 1 1Pipestone 1 1 2Cut 1 2 3Polk 1 1 2

Pope 1 1 2Ramsey 1 2 3Red Lake 1 1 2Redwood 1 1 2Renville 1 1 1Rice 1 1 1Rock 1 1 2Roseau 1 1 2St. Louis 1 1 1Scott 1 1 1Sherburne 1 1 2Sibley 1 1 2Stearns 1 1 1Steele 1 1 1Stevens 1 1 2Swift 1 1 2Todd 1 1 2Traverse 1 1 2Wabasha 1 1 2Wadena 1 1 2Waseca 1 1 1Washington 1 1 1Watonwan 1 1 2Wilkin 1 1 2Winona 1 1 2Wright 1 1 2Yellow Medicine 1 1 1

Final Conclusion• 3 Clusters of Counties

– Beltrami, Blue Earth, Hennepin, Ramsey

– Aitkin, Becker, Big Stone, Carver, Clearwater, Cook, Cottonwood, Douglas, Fillmore, Grant, Houston, Hubbard, Jackson, Kanabec, Kittson, Lac qui Parle, Lake, Lake of the Woods, Lincoln, Marshall, Martin, Meeker, Morrison, Nicollet, Norman, Otter Tail, Pennington, Pipestone, Polk, Pope, Red Lake, Redwood, Rock, Roseau, Sherburne, Sibley, Stevens, Swift, Todd, Traverse, Wabasha, Wadena, Watonwan, Wilkin, Winona, Wright

– Anoka, Benton, Carlton, Cass, Chippewa, Chisago, Clay, Crow Wing, Dakota, Dodge, Faribault, Freeborn, Goodhue, Isanti, Itasca, Kandiyohi, Koochiching, Le Sueur, Lyon, McLeod, Mahnomen, Mille Lacs, Mower, Murray, Nobles, Olmsted, Pine, Renville, Rice, St. Louis, Scott, Stearns, Steele, Waseca, Washington, Yellow Medicine