The Alaskan State of Mind
Posted by Josh Millet on Thu, Oct 02, 2008 @ 12:21 PM
Just Who Lives in Alaska Anyhow?
A recent article in The Week entitled "Sizing Up the Last
Frontier" notes that "after John McCain tapped Alaska Gov. Sarah Palin to be
his running mate, the nation took a sudden interest in the quirky 49th
state," and asks "How is Alaska different than the lower 48?"
Well, Alaska has always attracted hunters, oil drillers, and
gold miners, and men outnumber women there by a margin of 7 to 6. Alaskans consider themselves to be rugged
individualists, and there's good reason for this: the state covers 656,424
square miles and has only 683,000 inhabitants. More than 60% of Alaskans were
born elsewhere; in other words most Alaskans chose to live in the vast,
beautiful and empty expanse they call home.
What kind of people make this choice? In our last blog post
we commented on the Wall Street Journal article that summarized a recent study on personality with 600,000 internet
volunteers from all 50 states and the District of Columbia. We discussed the state level rankings on
personality traits such as agreeableness, openness and extraversion, and
pointed out that there was a tendency for the states with smaller numbers of
respondents to show up at the higher and lower ends of the rankings.
But even accounting for increased variance in small states,
the data from Alaska stands out from the rest. Alaska scored 49th in
extraversion, 51st in agreeableness, 51st in
conscientiousness, 47th in neuroticism, and 49th in
openness. That's consistency--49th state indeed! It also makes you wonder a bit about how seriously
the 4000 Alaskans were answering the survey.
With respect to agreeableness and conscientiousness, Alaska
didn't just rank last in both, their scores were more than 3 standard deviations lower
than the mean—very few states were more than one standard deviation off. Take a
look at the plot below where we've shown how the states look on agreeableness
and conscientiousness. The red dot is
Alaska.
According to the data, then, Alaskans consider themselves much less
agreeable and conscientious than their compatriots in the lower 48. But
before we take any angry calls from the Alaskan Tourism Board, our point here
is not to highlight Alaska's singularity, but to use Alaska as an example of
how a single outlier can affect the conclusions one draws
from a small sample size. What impact could Alaska have on the national scene
when the personality measures are correlated with health, crime and business
measures? This what statisiticians are refering to when they call something influential.
According to the plot,
Alaska is as far removed from the other states psychologically as it is
geographically. It is showing the same
trend as the rest of the data shows, in that low scores on agreeableness seem
to be associated with low scores on conscientiousness. But Alaska's position on the graph
exaggerates that trend. When you include
Alaska, the correlation between the two personality traits is r = .66. When you remove it, the correlation is r = .56. Like we said, in this case Alaska doesn't
change how you would look at the data (you'd come to the same conclusion that
there is a positive association), but it does affect the strength of the
conclusion.
By contrast, look at a
plot of the national data for conscientiousness plotted against neuroticism. The
trend is that the less conscientious a state is, the more neurotic they appear
to be. However, in this case Alaska (the
red point) bucks the trend. Including
Alaska, the correlation is r = -.27; excluding Alaska the correlation is r = -.38. Here, according to standard tests of
statistical significance, whether or not you include Alaska would make a
difference to the inference.
The take home message is
that the personality data in the research study were matched up with dozens of
potential interesting variables, and in some cases small correlations were
observed. You'd have to look very
closely at the individual plots of the data to determine whether Alaska was
exaggerating or diminishing the final conclusions. It's obvious status as an outlier in these
internet data makes it a potential deal maker or deal breaker in the national
data.
The message as regards pre-employment testing is that small to
medium sized companies should examine data on pre-employment assessments and job
performance carefully. In a smallish
sample, say 50 recent hires, there could be influential outliers that make the
assessment look better or worse than it truly is.