Comparison of Gun Ownership and Violent Crime

I recently ran across a website that gave some Statistics on gun ownership for 2007. I started wondering how this compared with crime rates for that year. I checked Statistics for Violent Crimes/100,000 people for 2007, taken from Table 304, Statistical Abstract of the United States, 2011. This is how they compare:

State% Gun
Ownership
Violent Crimes/
100,000 People
Alabama51.7448
Alaska57.8661
Arizona31.1489
Arkansas55.3529
California21.3523
Colorado34.7348
Connecticut16.7256
Delaware25.5689
Florida24.5723
Georgia40.3493
Hawaii6.7273
Idaho55.3239
Illinois20.2533
Indiana39.1334
Iowa42.9295
Kansas42.1453
Kentucky47.7295
Louisiana44.1730
Maine40.5118
Maryland21.3642
Massachusetts12.6432
Michigan38.4536
Minnesota41.7289
Mississippi55.3291
Missouri41.7505
Montana57.7288
Nebraska38.6302
Nevada33.8751
New Hampshire30.0137
New Jersey12.3329
New Mexico34.8664
New York18.0414
North Carolina41.3466
North Dakota50.7142
Ohio32.4343
Oklahoma42.9500
Oregon39.8288
Pennsylvania34.7417
Rhode Island12.8227
South Carolina42.3788
South Dakota56.6169
Tennessee43.9753
Texas35.9511
Utah43.9235
Vermont42.0124
Virginia35.1270
Washington33.1333
West Virginia55.4275
Wisconsin44.4291
Wyoming59.7239

If we sort by percentage of gun ownership, a pattern begins to emerge.

A frequent claim of those opposed to gun ownership is that the crime rate is a function of the percentage of gun owners. The following graph shows no significant correlation.

I began wondering if there was some metric that could be used to determine the degree of protection each state had by being able to defend themselves against violent crimes (murder, forcable rape, robbery, aggrevated assault). I came up with the Protection Quotient (PQ), the degree of protection each citizen has against the rate of violent crime by owning a firearm. A PQ twice as high indicates double the percentage of gun ownership for the same crime rate, or half the crime rate for the same percentage of ownership. It varies between 357 for North Dakota, with over 50% gun ownership and a fairly low crime rate, and Hawaii, with almost twice the crime rate and the lowest gun ownership by far of any state. This is how it breaks out overall:

State% Gun
Ownership
Violent Crimes/
100,000 People
Protection
quotient
North Dakota50.7142357
Maine40.5118343
Vermont42.0124339
South Dakota56.6169335
Wyoming59.7239250
Idaho55.3239231
New Hampshire30.0137219
West Virginia55.4275201
Montana57.7288200
Mississippi55.3291190
Utah43.9235187
Kentucky47.7295162
Wisconsin44.4291152
Iowa42.9295145
Minnesota41.7289144
Oregon39.8288138
Virginia35.1270130
Nebraska38.6302128
Indiana39.1334117
Alabama51.7448115
Arkansas55.3529105
Colorado34.7348100
Washington33.133399
Ohio32.434394
Kansas42.145393
North Carolina41.346689
Alaska57.866187
Oklahoma42.950086
Missouri41.750583
Pennsylvania34.741783
Georgia40.349382
Michigan38.453672
Texas35.951170
Connecticut16.725665
Arizona31.148964
Louisiana44.173060
Tennessee43.975358
Rhode Island12.822756
South Carolina42.378854
New Mexico34.866452
Nevada33.875145
New York18.041443
California21.352341
Illinois20.253338
Delaware25.568937
New Jersey12.332937
Florida24.572334
Maryland21.364233
Massachusetts12.643229
Hawaii6.727325

If we compare the crime rate as a function of the protection quotient, we can see that the states in which the people are better protected generally have a lower crime rate. This is basically the idea of the protection quotient.

Finally, not surprisingly, the protection quotient is higher in states in which there is a higher percentage of gun ownership. This is made more obvious by adjusting for the crime rate.

What do you think?

John Lindorfer