Probability
Sampling -- Why Not Sample Everyone?
by M. K. Jeppeson
I have worked with people in business
who collect reams of data -- about customer attitudes,
sales, client demographics, changes the customer would
like to see, and so on.
The scale of some of those databases is both compelling ,
and appalling!
People hire statisticians as
consultants to make sense out of their data (that's what
we are for). And they analyze the data and come up with
statistical results:
Frequencies, Correlations, Analyses of Variance, to name
a few.
So what?
Well, when properly interpreted, the statistics provide
an aggregate profile of the "average" person,
place, or circumstance, for each category that is of
interest to the business.
They then assist the business by describing the results
in light of their particular business interests, and
Voila - data has been translated into information.
The above process is descriptive because we are looking
no further than the existing customer data and
providing a general description.
But what happens if we want to extrapolate? What if the
business wants to expand and work with potential
customers in, say, Scottsdale, or all of Maricopa County,
or maybe the whole of the State of Arizona? What if they
want to expand it to potential clients throughout the
United States, Europe, Asia, or the World?
How am I going to get information
from all of those potential customers to find out how
best to manage and expand my business?
I would suggest that it probably can't be done
effectively outside your local community - in fact, it
probably should not be done that way at all.
The best way to get the information you need from
potential customers is to make a statistically
appropriate sample using tried and true probability
techniques.
Sigma Research (or any top-notch statistical consultant)
can show you how to cost-effectively sample for the best
results.
Why is probability sampling best?
Because it gives a cost-effective and mathematically
accurate representation of all potential customers
in the target market.
Each person, place, or thing that you want to gain
information about, has an "equally likely or
known" chance of being picked from the defined
population.
For example, probability sampling has definite advantages
over direct census-taking. A census is a survey of all
people, like a certain agency woefully attempts to
conduct each decade in our great country.
By todays' standard, these are your tax dollars at work,
but also Constitutionally bound to be performed in that
fashion - a continued and heated debate!
Some advantages of probability
sampling:
(1) It affords a true representation of the
population, minimizing biased results.
(2) You can select a small, feasible
sample size and obtain valid information about the
population at large.
Gallup Poll statisticians have proven this fact.
Sigma Research has worked with probability samples of
from 50 to up to 4,000 people.
The sample size depends upon whether one is sampling
Scottsdale Road or the World.
Notice sometime how small and accurate a well-drawn
polling sample can be.
(3) Probability sampling has
actually been proven to be more accurate* than
census-taking.
(* Accuracy = low bias + high precision).
An actual head-count census actually creates an
incredible amount of non-sampling error in surveying that
includes clerical mistakes, administrative errors,
inaccurate data entry, and so on -- just because of the
enormity of the undertaking.
This guaranteed sort of problem can be avoided using a
small, well-chosen probability sample.
(4) With probability, you can make
general statements about the responders to your
survey
(mailer, questionnaire, or research protocol), and you
can draw valid conclusions about your target population.
This will help you explore and make on-target decisions
to successfully expand your business into previously
unknown territory.
There are several types of
probability methods, like Random, Stratified and Cluster
sampling.
A professional statistician can help you select and use a
method that's appropriate and suited to your business
needs.
For more information on the subject, please contact us -
we would be honored to model, develop or conduct your
survey market research or guide you in successfully
accomplishing it in-house!
Maureen Keryan Jeppeson, Ph.D.(Cand.), is Owner
/Director of Sigma Research in Chandler, Arizona.
She has been a research and statistical consultant since
1987.
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