Why
Do Sampling?:
In
business research, primary data are collected from people
or non-human objects such as countries or states. Most
typically, people provide the data for business research.
When it's time to gather data, the researcher has to decide
to collect primary data from the population or from a sample
of the population of interest. Gathering data from a population
would be time consuming, costly, and unmanageable for the
business researcher. Some argue that it is impossible
to collect data from a population. Reasons might include that
people aren't always where they belong, they move, they can't
respond, they don't want to respond, and so forth. Common
sense dictates that to avoid errors in collecting data, a
sampling of a subgroup of a population would be less time
consuming, less costly, and easier to manage. Again, some
would point out that a valid sample is more representative.
By sampling, the researcher will be able to control time and
cost, control for errors, and generalize the results to the
target population.
Sampling
Terms:
Population
– A group of potential participants to whom
you want to generalize the results of a study. The total group
of subjects or participants must have at least one common
characteristic.
Subjects
- People or objects involved in a research study.
Sample
– A subset of the population. It is desirable that the
sample be representative of the population.
Sampling
Frame - A list of people or objects from the population.
Sampling
Errors - Factors contaminating or influencing the results
of who participates in the study. For example, a sampling
error might occur if an important subgroup in the population
is excluded.
Probability
Sampling - Everyone in the target population has an equal
and known chance of being selected for the study. Probability
sampling designs utilize randomization for candidate selection.
Nonprobability
Sampling – The probability of selecting any one member
from the population is not known.
Sampling
Plan - Researcher's plan of action for selecting the subjects
or participants.
The
Sampling Process:

Before
selecting participants for a study, business researchers should
take the following steps:
Select
a sampling frame - A list of the population. Also, the
list of potential participants in a study.
Select
a sample design - The method of selecting study participants.
Select
the appropriate size - This is the number (N) of subjects
invited to be in the study. The N should be large enough for
a 95% confidence level.
Select
the sample - The researcher proceeds to select the participants.
NOTE: Since not everyone who is invited to participate in
a study will, researchers often over sample, assume a certain
participation rate (e.g., 10%), and work until the final sample
of participants is representative of the population.
How
Large Does the Sample Need to Be?:

This
is one of the most frequent questions asked of researchers.
Today, there are a variety of methods for determining sample
size. Some research textbooks contain a table for determining
sample size from a given population. Other books, such as
the Berenson et.al. text, provide very detailed and complex
formulas for determining correct sample size. Below are some
proportions cited in Krejcie, R.V. and Morgan, D.W. for determining
sample size. (N = population size; S = sample size)
|
N |
S |
N |
S |
N |
S |
|
10 |
10 |
220 |
140 |
1200 |
291 |
|
15 |
14 |
230 |
144 |
1300 |
297 |
|
20 |
19 |
240 |
148 |
1400 |
302 |
|
80 |
66 |
420 |
201 |
3500 |
346 |
|
100 |
80 |
500 |
217 |
6000 |
360 |
|
150 |
108 |
750 |
254 |
15000 |
375 |
|
200 |
132 |
1000 |
278 |
75000 |
382 |
You
should notice that the larger the population, the smaller
the sample size in proportion to the population. Generally,
the results of the study will be more valid with larger samples.
Today,
there are many online tools for calculating sample size. Take
a look at this site:
http://www.researchinfo.com/docs/calculators/samplesize.cfm
The
concepts of sampling are very important. Managers need to
know enough to question and evaluate sampling or other research
procedures utilized in a research study. Managers need to
know enough to ask experts "intelligent" questions. Since
cost is a major factor of conducting research, sampling efficiency
should always be considered.
Probability
Sampling Designs:

Ideally,
researchers would like to control possible biases in their
studies, specifically in their samples. By controlling
biases, researchers enhance the internal and external validity
of their findings. One of the critical tools in controlling
threats to validity (biases) is to conduct probability sampling
using random selection of subjects.
Simple
Random Sampling
Simple
random sampling is a technique where we select a group of
subjects (a sample) for the study from a larger group (a population).
Each individual is chosen entirely by chance and each member
of the population has an equal chance of being included in
the sample. In the appendix of most research method books,
a random numbers chart is available for random selection of
subjects. Today, many computers are equipped with random numbers
generators for sample selection. A sample that is the correct
size and is randomly selected will be representative
of its population.
Cluster
Random Sampling
Formal
groups of subjects, rather than individuals, are identified
and randomly selected for the study. Cluster examples: (a)
voting districts, (b) departments in an office building, and
(c) classrooms in a school.
Systematic
Random Sampling
Researchers
use this sampling technique when their sampling frame already
exists in some order (e.g., alphabetical). To minimize bias,
they start at a random point in the list then select every
"kth" name on the list. For example, if your sampling
frame consisted of 1000 names in alpha order, and you want
100 people in your study, you can start your selection at
a random point and continue selecting every 10th name until
you have your 100 subjects.
Stratified
Random Sampling
There
may often be factors that divide up the population into important
subgroups or strata. For example, consider a population
of undergraduate students at a large university. They consist
of first, second, third, and forth year students; males and
females; handicapped students; athletes; older students; etc.
Sometimes researchers believe that a subgroup might be especially
hard to get into a sample (e.g., they are hard of hearing
and don't respond to a knock on the door from an interviewer).
We can ensure these important subgroups are not left out of
the study by conducting stratified sampling. A stratified
sample is obtained by randomly selecting people from each
stratum or sub-group of a population. When we sample a population
with several strata, we generally require that the numbers
of individuals in each stratum be in proportion to their percentage
in the population. For example, if 10% of a university population
is handicapped, and you want to make sure handicapped students
are represented in your sample in proportion to the population,
your strata or subgroup of handicapped students should be
10% of your final sample.
Multistage
Random Sampling
A
multistage random sample is constructed by taking a series
of simple random samples in stages. This type of sampling
is often more practical than simple random sampling for studies
requiring "on location" analysis, such as door-to-door surveys.
In a multistage random sample, a large area, such as a country,
is first divided into smaller regions (such as states), and
a random sample of these regions is collected. In the second
stage, a random sample of smaller areas (such as counties)
is taken from within each of the regions chosen in the first
stage. Then, in the third stage, a random sample of even smaller
areas (such as neighborhoods) is taken from within each of
the areas chosen in the second stage. If these areas are sufficiently
small for the purposes of the study, then the researcher might
stop at the third stage. If not, he or she may continue to
sample from the areas chosen in the third stage, etc., until
appropriately small areas have been chosen.
Sampling
and Statistical Inference
You
have just read about the term random sampling. The use of
randomization in sampling allows for the analysis of results
using statistical inference. Statistical inference is based
on the laws of probability, and allows analysts to infer conclusions
about a given population based on results observed through
random (representative) sampling.
Nonprobability
Sampling Design:

In
the real world, there are times when randomization is impossible.
Reasons include time, expense, and importance of the findings.
It is likely you will not be able to conduct probability/random
sampling for your project 2 because of time and money limitations.
This is OK. When researchers cannot or do not want to conduct
random sampling, they will select a nonprobability sampling
design. That is, the people in the population will not
have an equal chance of being selected. They will have
an unknown probability of being in the study. Simply stated,
this means the final sample may have sampling errors, it will
not be representative of the population, and the results might
not be valid and reliable. Next are examples of nonprobability
sampling designs.
Judgment
Sampling
The
researcher chooses people or objects that might represent
the purpose of the study. For the manager, this design
is less time consuming and less costly for the corporation.
Exploratory research incorporates this design.
Convenience
Sampling
This
design uses the philosophy of inviting into a study anyone
who is available. The researcher specifies the rules of selection.
To earn extra class credits, college students agree to participate
in their professor's research study. The advantages
of the design are less cost and less time consuming. Exploratory
research and descriptive research may utilize convenience
sampling. Many of you will use convenience sampling in your
Project 2.
Snowball
Sampling
This
is one of my favorite designs. This type of sampling is conducted
when a list of the population of interest does not exist.
Consider research that is conducted on alcoholics or battered
women. There is typically no accurate listing of a population
of people with these characteristics. However, these are important
groups in our society, and we often want to have them in our
research projects. Therefore, we find one person with the
characteristic of interest (e.g., alcoholism), we invite them
into the study, then ask if they can suggest other individuals
with this same characteristic that might participate in our
study.
Next
Steps:
- Complete all readings and assignments for Module 3.
- Want
to learn even more about sampling beyond the lecture and
course texts? Check out the syllabus "Other Useful
Online Resources." The Trochim electronic textbook
can be very useful.
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