I’d like to share some thoughts on these numbers from the perspective of someone who’s made a good bit of his living over the last 40 or so years number-crunching large data sets for government and private clients. And I apologize in advance for the long-winded response, that's just the way I am (sometimes).
First, Jose is both right and wrong. Right that the VPC is biased and has an agenda (which I would say is not hidden) and therefore their position bears careful examination, but wrong that simply pointing that out is sufficient to refute their argument. In logic, that’s one of the classic informal fallacies, known as argumentum ad hominem (literally “argument to the man”) and it cannot prevail. Consider the situation in reverse: You make the argument that firearms owned and carried by civilians are often used to prevent crime, and often without a shot being fired. The individual arguing against you simply says that you’re a gun owner, therefore your position is biased and invalid. You would be correct if you thought that refutation to be rather unconvincing.
So, with that in mind, I took a look at both the VPC “study” and attempted to apply some basic statistical principles to it. First, I found it curious that they selected the states with highest number of gun deaths by rank and then presented the gun ownership data by actual numbers, only pointing out that they were higher than average. So I went to the raw data and looked at the gun ownership rankings and gun death rankings. When you do that, you come up with the following (I can't get the spacing to come out correctly, hence the slashes):
State/Rank by Gun Ownership/Rank by Gun Deaths
Wyoming/1/8
Alaska/2/4
Montana/3/17
South Dakota/4/31
West Virginia/5/13
Somewhat less convincing, no? It’s now not so clearly evident that high gun deaths and high gun ownership are in fact related – for example, how do you explain South Dakota, with its third highest gun ownership rate being well below the national average for gun deaths? Because VPC also similarly presented the states with the lowest gun death rates, I took a look at the death rate ranking in the states with the lowest gun ownership (note that for the purpose of this and all subsequent discussion, I included DC as a state):
State /Rank by Gun Ownership/Rank by Gun Deaths
DC/51/1
Hawaii/50/51
New Jersey/49/46
Massachusetts/48/50
Rhode Island/47/49
Well, we have the special case of DC, but other than that the states that have very low gun ownership also have very low rates of gun deaths. Taken together, these two sets of numbers are suggestive of a relationship between gun ownership and gun deaths, but is there really a statistically verifiable association here?
Statisticians use something called correlation analysis to determine if there is a relationship between two sets of paired data. The analysis, which I conducted using the ranks rather than the raw data, examines all of the data to determine if a relationship exists. It produces a statistic called the correlation coefficient, which can vary from +1.0, indicating a perfect relationship (in this case, that the highest ownership state is the highest death state, 2nd is 2nd, 3rd is 3rd, etc.) to -1.0 (highest ownership is lowest death, 2nd is 50th, 3rd is 49th, etc.). The closer the value of the coefficient is to either end of the spectrum, the closer the relationship. The value of the correlation coefficient can also be tested for statistical significance, by which we mean it’s unlikely that these results occurred by chance.
Using VPC’s own data – which they said came from CDC, and I accepted it as such – the correlation between gun ownership and total gun deaths by state is .4713, which is strongly indicative that such a relationship does in fact exist, and is also very highly statistically significant. So, whether we like it or not, there is a definite relationship between high rate of gun ownership in a state and a high rate of gun deaths in that same state.
However, you put your finger on the problem with VPC’s position when you correctly pointed out that their gun deaths include all types of death related to firearms. This is important because their discussion of gun deaths is very clearly focused on gun homicides (i.e., they talk about “permissive carry laws,” “restrictions on assault weapons,” “permits to purchase,” etc.) and, of course, that’s what the average citizen is worried about, as they well know. So the data of interest therefore, are not gun deaths, but gun homicides – and those data are readily available from the same source. I won’t go into all the details, but if you calculate the correlation coefficient for gun ownership vs. gun homicide by state the result is -.0818, indicating that there is essentially no relationship whatsoever. So what’s causing the relationship between gun ownership and gun deaths in general?
Data on “unintentional” deaths by firearms (which I assume means “accidental” although most of us here might prefer the term “negligent”) and suicides by firearms are also readily available, and it turns out that both of those categories are very highly correlated with gun ownership (both about .87), which shouldn’t come as a big shock since it’s reasonable to assume that when more guns are around there will be more gun accidents (after all, when more cars are around there will be more car accidents, when more boats more boating accidents, etc.), and I believe it's been known for some time that an individual determined to commit suicide will most often use a gun if there's one available.
So, that’s what appears to be going on here – VPC is using a true relationship between gun ownership and accidental/self-inflicted gun deaths to claim (or at least imply) a false relationship between gun ownership and gun homicide. It is scientifically disingenuous, and they most certainly know it. (As an aside, the numbers also clearly show that the relationship between gun ownership and non-homicide gun deaths is very real and argue that we should all be careful about using and storing our guns properly to reduce the number of accidental and/or self-inflicted deaths due to improper use).