Four groups: a visual point of view

I follow the study written on the message the groups of my study article

We start with the first screen that colorize my first group explained. This first group describes the most hard and poor people where we found violent crime problems. 

We can see that the value is shared on the entire map. Certain states are more represented as California  New York, Michigan, Delaware and Kansas

Group around the violent criminality 

The fourth group the group of the ideal family , white with two children ,..  This perfect group is shared along the united states of america. More representative states are based on the north . Where the south is more sweet.

The group of the ideal family

 The group of workers. We found this group in all the state with an equal representation.

The group of poor workers

The group of manager is really interesting. because the structure of this group is really important in California , New Jersey, Connecticut and Massachusetts . Idaho is lowest represented as Kentucky , Louisiana, ...

The group of the managers 

The groups resulting of my study on classification

Short intro

I want to present the final elements resulting of the review of the variables of my study on violent crimes.
Why grouping variables ? It is a good question but we need to know how variables interact and coexist . At the same time their understanding permit to implement some strategy on research as vectorization or map reducing.
When I have started my study I haven't searched to define group of people. But the study has moving me to identify some humans group. When I say humans group , I want to talk about social relationship.
It s really a surprise for me to distinguish clearly social and cultural group.
I let you discover my final analysis.

Results

The first group : grouped around the violent crime per 100k hab variable 

HousVacant, LandArea, LemasPctOfficDrugUn, numbUrban ,NumIlleg ,NumImmig, NumInShelters, NumStreet, NumUnderPov, PctForreignBorn, PctHousNoPhone ,PctIlleg, PctLargHouseFam, PctLargHouseOccup, PctLess9thGrade , PctNotSpeakEnglWell , PctPersDenseHous, PctPopUnderPov ,PctRecentImmig ,PctRecImmig10,PctRecImmig5,PctRecImmig8, PctVacantBoarded , PctWOFullPlumb , pctWPubAsst , PopDens ,population  , racepctblack  ,racePctHisp   , ViolentCrimesPerPop.

I know that the readability of this group is not easy. But I can give some information. 

This group is a group of people living in an area where house are vacant and/or boarded, really urban and very dense, with illegitime children, immigrant, where people don t have a phone, living in large house with public assistance and not graduate. Black and hispanic race. 

We have all the principal values around the violent criminality. Reducing one of this factor can have a real impact on crime activity.

The second group : the poor workers 

agePct12t21,agePct12t29,agePct16t24,agePct65up, FemalePctDiv, householdsize, indianPerCap, MalePctDivorce, MalePctNevMar  , MedOwnCostPctInc ,MedOwnCostPctIncNoMtg , MedRentPctHousInc ,MedYrHousBuilt , PctEmplManu, PctEmplProfServ, PctHousLess3BR, PctImmigRec10,PctImmigRec5,PctImmigRec8 ,PctImmigRecent , PctNotHSGrad, PctOccupManu, PctUnemployed, PctUsePubTrans, PctVacMore6Mo, pctWFarmSelf  , pctWSocSec, PersPerFam,PersPerOccupHous,PersPerOwnOccHous,PersPerRentOccHous , racePctAsian, TotalPctDiv 
This group correspond to the mean of the population that use public transport, have manual work or unemployed , without social security, immigrant , without diploma. Indian and Asian are represented.

The third group : the managers

AsianPerCap ,blackPerCap, HispPerCap, medFamInc ,medIncome ,MedNumBR , MedRent, OwnOccHiQuart ,OwnOccLowQuart, OwnOccMedVal , PctBSorMore, PctOccuptMgmtProf, perCapInc, RenLowQ,RentHighQ,RentMedian, white per cap   
This group is interesting, because we mix some race as white, black , asian and hispanic . An this group is composed by managers whose living in their proper house or renting it. We can say that this group manage the second group.

The fourth group : the ideal family

PctBornSameState, PctEmploy, PctFam2Par, PctKids2Par, PctSameCity85 ,PctSameHouse85,PctSameState85,PctSpeakEnglOnly,PctTeen2Par , pctUrban, pctWInvInc, PctWorkMom,PctWorkMomYoungKids , PctWRetire, pctWWage ,PctYoungKids2Par , racePctWhite  , PctHouseOccup ,PctHouseOwnOccup , PctPersOwnOccup
This incredible group is a perfect family as we can see in the idealiste literature.
With two kids, living in the same area since a long time , speaking in english , working or retired and not unemployed and white race.
Stability of the group on their area permit the employment and the tv dict some idea as two children by family, ...

k-means clustering

K mean a metric approach

The approach is to use the k mean methodology to extract cluster  .This metric method permit to choose the number of cluster desired. In our best idea is to use 5 clusters. But to test and analysis , I have selected two to ten classes to verify this first hypothesis and to compare with other results.

The analysis is on individuals and variables.

As previously studied , the individuals analysis is really concentrated on the PCA view . And it s really difficult to have a real data separability. 

The variables clustering is really more interesting. Offering better views. The 5 classes is the most convenient visual choice and best separability offer.

10 clusters

2 clusters

3 clusters

4 clusters

5 clusters

6 clusters

7 clusters

8 clusters

10 clusters

2 clusters

3 clusters

4 clusters

5 clusters

6 clusters

7 clusters

8 clusters

9 clusters