graphics matter, 2017 edition

“More data more better” is pretty much the rule when it comes to statistics, so I try to update the “graphics matter” series every year or so as my various sources update their data sets.  I missed a year somewhere in there, but I am happy to bring you the new, improved, examination of whether or not the hypothesis of “more guns = more ‘gun deaths'” holds true.

The results… will not surprise regular readers.


That is the chart, but what about the actual numbers?

The two pertinent rates – the number of firearms per capita versus the number of firearm-related fatalities per capita – correlate with a coefficient of -0.79744, indicating a strong, negative correlation between the two sets of data.

If you look at the raw numbers – the number of firearms, period, versus the number of firearm-related fatalities, or “gun deaths” – they correlate with a coefficient of -0.27315, which remains a negative correlation.

As always, correlation does not necessarily indicate, or even come close to proving, causality; but I am also not trying to prove causality.  However, the notion of “more guns = more ‘gun deaths'” does try to claim causality, when there is absolutely no positive correlation to support such a causal link.

Therefore, the hypothesis of “more guns = more ‘gun deaths'” still cannot be true.

(The previous version of this, along with a great deal more explanation, is available here.  The Excel spreadsheet from which I built the above graphic is available here.  My sources are the CDC’s WISQARS Fatal Injury Reports, the Small Arms Survey of 2003, the BATFE’s Firearms Commerce in the United States, the Shooting Industry News, and Radical Gun Nuttery.)

graphics matter, part three

graphics matter, part three

As previously demonstrated, the hypothesis of “more guns = more deaths” not only is not true, but cannot be true historically in the United States.  Despite that simple fact, “gun control” supporters still bitterly cling to the irrational notion that firearms are naught but the tools of murder and mayhem.

So let us humor them for a second.  We know that the number of firearms in circulation in America has been steadily increasing for as long as the Bureau of Alcohol, Tobacco, Firearms, and Explosives has been tracking the relevant numbers.  Likewise, the raw murder count in the States has dropped to numbers unseen since the 1960s.

However, what about the percentage of those murders committed with the assistance of a firearm?  After all, if firearms’ only purpose is to murder other people, one would think that, even if the overall murder rate is going down, the percentage of murders that involved a firearm would be going up given the increased number of firearms in the country.


Well, as with many of the things “gun control” advocates purport to be “common sense”, the reality is a little more complicated:


The grey bars track the percentage of murders that were committed with the assistance of a firearm, and, as you can see, those bars do not come anywhere close to echoing the consistent climb of the number of firearms in the United States.

In fact, the trend line for the percentages is functionally level, with a slope of 0.0006, compared to the slope of 669.64 for the number of firearms in America.  Oh, and yes, that does mean that, averaged over the past 20 years, at least 6,696,400 firearms have been produced in or imported into the United States every year.

Despite the nearly level trend line of the percentages, there does exist a correlation of 0.14784 between the number of firearms in the United States and the percentage of murders committed with the assistance of firearms.  This is, however, a tremendously weak correlation, and given the very narrow range of percentages – a maximum of 64% and a minimum of 55% – it is certainly not enough to draw any kind of causal relationship.

So, could the increased number of firearms in public circulation lead to a higher percentage of murders involving those firearms?  Based on the available data, yes, it is possible… but it has not been happening consistently yet.

Source *.xls file.

Other Sources:

Small Arms Survey of 2003

Shooting Industry News

graphics matter, international edition

graphics matter, international edition

Now that we have shown that the hypothesis “more guns = more ‘gun deaths'” cannot be true in America, what about on an international scale?

Well, this is where things get really complicated.

Not all countries keep good records of their respective murders, much less their respective firearm ownership, so we are going to have to do a massive amount of estimating.

For the number of firearms in civilian ownership, we will refer to the 2007 Small Arms Survey, Chapter 2, Annexe 3 (*.pdf warning) and their documentation of 178 different countries.  We will consider the numbers from every possible country in North, South, and Central America; North, South, Eastern, and Western Europe; Oceania; and a few other odds and ends to round out the data set to a good sample body of 100.  I used the average of the “Low Total from Outside Sources” and “High Total from Outside Sources” where available, and “Registered” if not, to generate the ownership numbers for the individual countries.  It is worth noting that some useful countries – like Denmark, India, and Luxembourg – are omitted from the survey; for these countries, the only numbers available are “Total from Regional Correlation” – i.e. they were making a guess based on the guesses they made around that country.

Likewise, the population numbers for the countries considered came from the same Small Arms Survey.

I hate to admit this, simply because I hate using Wikipedia as a primary source for anything, but the numbers of murders per country, from which I calculated their murder rates, is from the List of countries by intentional homicide rates.  As always, these numbers are subject to the inherent flaws in various countries’ recording methods, as well as the flaws intrinsic to Wikipedia itself.

It is worth noting that we are considering total murders this time around, rather than simply “gun deaths”.  If you think recording methods are inconsistent among various nations, just imagine how messy trying to track means of death would be.

Here is the end result:


You almost certainly will want to click on it to make it larger.

The line slanting down from left to right is the trendline of the datapoints; basically it shows that the correlation between firearm ownership rates and murder rates in the 100 countries sampled is negative, at a coefficient of -0.1832.  Note that this is a weak correlation, and thus cannot be considered binding.

In other words, as with the trend here in America, the hypothesis that “more guns = more deaths” cannot be true on an international scale.  I am not a betting man, but I am starting to see a trend here…

If you want to see what the other 100 countries were, since a goodly number are stacked on top of each other, the source data is available for your consideration.

graphics matter

graphics matter

One of the favorite myths of “gun control” advocates is that as the number of firearms in Americans’ hands increases, so too does the number of firearm-related deaths increase.  Superficially, this seems to make sense, and thus it is an appealing fiction to buy into.

Fortunately, the actual data proves the hypothesis to be false.

To begin with, I should clarify that we will be considering the rates of firearm ownership and rates of firearm-related fatalities, since raw numbers are affected by population growth or decline.  Thankfully, the United States population is fairly well documented, and we will be using the Centers for Disease Control‘s information.

Additionally, causes of death are also well documented, also by the CDC.  Their WISQARS Fatal Injury Reports are updated on a yearly basis, and their data set spans from 1981 to 2012, so that will be our consideration window.

Unfortunately (from the analytical standpoint), the first part of the equation – the number of firearms in private Americans’ hands – is nowhere near as accurately recorded.  Obviously I am quite sanguine with the federal government having no idea who owns what firearms or in what numbers, but it does make statistical examinations a little more challenging.  However, the Small Arms Survey of 2003 is perhaps an authoritative estimate on private ownership of arms in various nations, and they calculate the lower bound of US firearm numbers in 2003 as approximately 238,000,000.  The Small Arms Survey organization is decidedly against the “proliferation of small arms”, by their own words, so we have every reason to believe they inflate their numbers for greater impact, but we can accept that as a starting point.

From that starting point, we will add, or subtract, the firearm production figures provided by the Bureau of Alcohol, Tobacco, Firearms and ExplosivesFirearms Commerce in the United States document, at least as far back as 1986 (the earliest publication of that document).  Before then, we will rely on the Shooting Industry News.

Finally, while it does not factor into the “does ‘more firearms’ mean ‘more firearm-related deaths?” question, the number of “shall-issue” and “Constitutional carry” states is also included in the data, with the tallying done by Radical Gun Nuttery (their *.gif documenting the march of our rights across the nation is quite handy).

So, with all this data at our fingertips, does “more firearms = more firearm-related deaths” hold true?


In short, no.

For those who want more than pretty pictures, when one considers the rates – i.e. the number of firearms or firearm-related fatalities per 10,000 people – the rate of firearm ownership correlates to the rate of firearm-related fatalities with a coefficient of -0.80155, indicating a strong, negative correlation between the two data sets.

Even when you look at the raw numbers, the number of firearms in America correlated to the number of firearm-related fatalities – i.e. “gun deaths” – with a coefficient of –0.36471, which still indicates a negative correlation between those two data sets.

At this point, it is important to clarify that correlation does not indicate, nor prove, causality… but I am not attempting to prove causality here.  However, by stating that “more guns causes more ‘gun deaths'”, the anti-rights community is attempting to claim causality, and one that would outright require positive correlation.

No such positive correlation exists.

As such, the hypothesis of “more guns = more ‘gun deaths'” cannot be true.

Feel free to spread this information as far as you like, and if you are so inclined, I welcome people checking my work (*.xlsx file).  Unlike anti-firearms organizations, I make no attempt at hiding my raw data, or the ways it was crunched.

(As a further aside, it would not matter if the hypothesis could be true – the overwhelming majority of firearm-owning Americans have broken no laws nor harmed anyone, and, as such, no one has any standing to unjustly deprive them of property or rights.)