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Concerns about
statistical power of these results
The most common question and concern regarding our first poll in September
2002 on the War on Terrorism was: With a sample size of only 150 how does
the power of your results hold up against the major media polls? (which
often have 800-1000 responses). A few people, instead of asking the question,
have simply told us that our sample size is too small to be of any value.
Response: The focal point of Retro Poll's report and general methodology
is an effort to look at correlations between misinformation people obtain
from the mass media and their beliefs/viewpoints about proposed government
policies. The association we have shown between having misinformation
on Iraq's sponsorship of Al Qaeda terrorism on the one hand, and a willingness
to go to war with Iraq, on the other, is very strong. Using standard statistical
testing (the chi square test) we have shown that there is almost no chance
(p<.001) that this association is a random or accidental event. In fact,
this association is stronger than anything that the large random sample
polls can say about their results. Health researchers and statisticians
usually suggest a sample size of at least 100 to make this kind of study
useful. Retro Poll 1 obviously surpasses that standard.
Comparing Retro Poll's association of two questions (factors) to the results
of simple polls (whether major media polls or our own) is like comparing
apples and oranges. The general public needs to understand the serious
weakness of public opinion research in the U.S. Most public opinion polls
(including ours) have to call and speak with about 4 people before one
person agrees to participate in any survey. Since there is no way of knowing
if the refusers have different or the same views as the accepters, there
is no valid way to report that a poll really reflects the public viewpoint
on anything. When polls report a margin of error (usually 3-5%, though
our small sample size generated a statistic of 6-8%) they are, to put
it gently, fibbing. What they should be saying is "if the people refusing
to be polled were to have similar views to those polled, then the results
reflect those of the general population with a margin of error of 3-5%".
However, because the answer to the "if" is usually unknown, the actual
potential error margin, in simple questioning, both in corporate media
polls and in ours, is unknown but definitely larger than reported.
Retro Poll will continue to focus on the method of testing the association
between background knowledge and viewpoint and these correlations will
not require large numbers. We will however, try to get larger poll numbers
in order to further strengthen the ability to say that results to individual
questions reflect the public's views, even though we believe that this
type of polling should not be trusted by the public, even when the sample
size is large.
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