As July 8, 2010, the Senate race in California between the current Senator, Barbara Boxer, and her main challenger, Carly Fiorina, is, according to the headline . . .
Field Poll: Calif. Senate race in statistical tie
And, here’s the statistical evidence: “The survey found 47 percent of likely voters support Boxer while 44 percent back Fiorina, a gap that is within the poll’s margin of error.”
Now, wait a minute. Boxer has 47% and Fiorina has 44% which under the rules of basic math means that Boxer has 3 more points and thus wins the election, right? Since when does a 3 point advantage mean we’re tied?
Most folks understand this and see the tie because of that phrase, ” . . . the poll’s margin of error.” Margin of error in this instance means that if we had run another random sample survey, the results would have varied simply because of random variation in who actually picks up the telephone that day. A different sample might have Fiorina ahead a point or two. Thus, the race is in a statistical dead heat, a tie, even though the numbers actually show a difference that clearly points to one candidate over the other.
Another way of saying “margin of error” is to say that the results are not “statistically significant.” Those two phrases mean the same thing. And because the 3 point difference between 47% and 44% is within the margin of error, is not statistically significant, everyone understands that even though there is a numerical difference between 47 and 44, it should be understood as a tie, as no difference.
Okay?
Now, here’s where it gets tricky.
The evidence about climate change shows the same characteristics as this opinion poll. Let me requote Dr. Phil Jones, lead scientist at East Anglia:
And he said that for the past 15 years there has been no ‘statistically significant’ warming.
Now, of course, the past 15 years is the McGuffin in the Global Climate Change argument and shows up in the famous hockey stick graph, reproduced here.

When you look only at the graph, everyone sees that dramatic upturn in temperature on the right hand side. Looks serious, but as Dr. Jones asserts, that hockey stick increase is “within the margin of error” or “is not statistically significant.” And just as we know that as of July 8, 2010, the Senate race between Boxer and Fiorina shows no real difference, we know that there’s no real difference in global temperature over the time period of this graph.
If you take the time to read the research studies that form the basis for much of the furor, one statement you almost never see in them, is “statistically significant.” Or, if you do see that phrase, the criterion for testing significance is set at an easier standard (p < .10) rather than the textbook standard (p < .05). While the graphs and figures look compelling, the numbers are not.
And, as I’ve documented in this blog, many scientists have an awful skill at mathematics and will make claims about their research that are not supported by their own data. For example, almost all of the research on warning labels for calorie counts shows no statistically significant effects, yet warning labels for calorie counts are now apart of Health Care Reform We Can All Believe In. What this means is that in the next couple of years you will see no change in the waistline of America even though scientists asserted warning labels make a difference.
The fact that scientists are making these advocacy assertions does not change reality. I’m sure you can find petitions with scientist signatures in favor of warning labels, just as you can find petitions with scientist signatures in favor of carbon emission restrictions to reduce global warming. The fact is, most of them can’t count past ten without taking off their shoes as those petitions prove. The research they cite contradicts them and they can’t see that because they cannot count.