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Research
Methods STA630
VU
Lesson
27
PROBABILITY
AND NON-PROBABILITY SAMPLING
There
are several alternative ways of taking a
sample. The major
alternative sampling plans may
be
grouped
into probability techniques and
non-probability techniques. In probability
sampling every
element
in the population has a known
nonzero probability of selection.
The simple random is the
best
known
probability sample, in which
each member of the population
has an equal probability of
being
selected.
Probability sampling designs
are used when the
representativeness of the sample is
of
importance
in the interest of wider generalisability.
When time or other factors, rather
than
generalisability,
become critical, non-probability
sampling is generally
used.
In
non-probability sampling the probability
of any particular element of the
population being chosen
is
unknown.
The selection of units in non-probability
sampling is quite arbitrary, as
researchers rely
heavily
on personal judgment. It should be noted
that there are no appropriate
statistical techniques for
measuring
random sampling error from a
non-probability sample. Thus projecting
the data beyond the
sample
is statistically inappropriate. Nevertheless, there
are occasions when
non-probability samples
are
best suited for the researcher's
purpose.
Types
of non-probability sampling:
In
non-probability sampling designs, the
elements in the population do not have
any probabilities
attached
to their being chosen as
sample subjects. This means
that the findings from the
study of the
sample
cannot be confidently generalized to the
population. However the researchers
may at times be
less
concerned about generalisability
than obtaining some
preliminary information in a quick
and
inexpensive
way. Sometimes non-probability
could be thee only way to
collect the data.
Convenience
Sampling
Convenience
sampling (also called haphazard
or accidental sampling) refers to
sampling by obtaining
units
or people who are most
conveniently available. For
example, it may be convenient
and
economical
to sample employees in companies in a
nearby area, sample from a
pool of friends and
neighbors.
The person-on-the street interview
conducted by TV programs is another example.
TV
interviewers
go on the street with camera
and microphone to talk to
few people who are
convenient to
interview.
The people walking past a TV
studio in thee middle of the
day do not represent
everyone
(homemakers,
people in the rural areas).
Likewise, TV interviewers select
people who look "normal"
to
them
and avoid people who are
unattractive, poor, very
old, or inarticulate.
Another
example of haphazard sample is
that of a newspaper that
asks the readers to clip a
questionnaire
from
the paper and mail it in. Not
everyone reads thee newspaper,
has an interest in the topic, or
will
take
the time to cut out the questionnaire,
and mail it. Some will , and
the number who do so may
seem
large,
but the sample cannot be used to
generalize accurately to the population.
Convenience
samples are least reliable
but normally the cheapest and
easiest to conduct.
Convenience
sampling is most often used
during the exploratory phase of a
research project and is
perhaps
the best way of getting some
basic information quickly and
efficiently. Often such
sample is
taken
to test ideas or even to gain
ideas about a subject of interest.
Purposive
Sampling
Depending
upon the type of topic, the
researcher lays down the
criteria for the subjects to be
included in
the
sample. Whoever meets that
criteria could be selected in the
sample. The researcher might
select
such
cases or might provide the
criteria to somebody else and leave it to
his/her judgment for the
actual
selection
of the subjects. That is why
such a sample is also called
as judgmental
or expert opinion
sample.
For
example a researcher is interested in
studying students who are
enrolled in a course on
90
Research
Methods STA630
VU
research
methods, are highly regular,
are frequent participants in the
class discussions, and often
come
with
new ideas. The criteria
has been laid down,
the researcher may do this
job himself/herself, or
may
ask
the teacher of this class to
select the students by using the
said criteria. In the latter
situation we are
leaving
it to the judgment of the teacher to
select the subjects. Similarly we
can give some criteria
to
the
fieldworkers and leave it to their
judgment to select the subjects
accordingly. In a study of
working
women
the researcher may lay down
the criteria like: the lady is
married, has two children,
one of her
child
is school going age, and is living in
nuclear family.
Quota
Sampling
A
sampling procedure that ensures
that certain characteristics of a
population sample will be
represented
to
the exact extent that the researcher
desires. In this case the
researcher first identifies
relevant
categories
of people (e.g. male and female; or under
age 30, ages 30 to 60,
over 60, etc) then
decides
how
many to get in each category. Thus the
number of people in various categories of
sample is fixed.
For
example the researcher decides to
select 5 males and 5 females
under age 30, 10 males and
10
females
aged 30 to 60, and 5 males
and 5 females over age 60
for a 40 person sample. This
is quota
sampling.
Once
the quota has been fixed
then the researcher may use
convenience sampling. The
convenience
sampling
may introduce bias.
For example, the field
worker might select the
individual according to
his/her
liking, who can easily be
contacted, willing to be interviewed, and
belong to middle
class.
Quota
sampling can be considered as a form of
proportionate stratified sampling, in
which a
predetermined
proportion of people are
sampled from different groups,
but on a convenience basis.
Speed
of data collection, lower
costs, and convenience are the major
advantages of quota
sampling
compared
to probability sampling. Quota sampling
becomes necessary when a
subset of a population is
underrepresented,
and may not get any representation if
equal opportunity is provided to
each.
Although
there are many problems with
quota sampling, careful
supervision of the data collection
may
provide
a representative sample of the various
subgroups within the
population.
Snowball
Sampling
Snowball
sampling (also called network,
chain referral, or reputational
sampling) is a method
for
identifying
and sampling (or selecting)
cases in the network. It is based on an
analogy to a snowball,
which
begins small but becomes
larger as it is rolled on wet snow and
picks up additional snow.
It
begins
with one or a few people or
cases and spreads out on the
basis of links to thee
initial cases.
This
design has been found quite
useful where respondents are
difficult to identify and
are best located
through
referral networks. In the initial
stage of snowball sampling,
individuals are discovered and
may
or
may not be selected through
probability methods. This
group is then used to locate
others who
possess
similar characteristics and
who, in turn, identify others.
The "snowball" gather subjects as
it
rolls
along.
For
example, a researcher examines
friendship networks among teenagers in a
community. He or she
begins
with three teenagers who do
not know each other.
Each teen names four
close friends. The
researcher
then goes to the four
friends and asks each to
name four close friends,
then goes to those
four
and
does the same thing again,
and so forth. Before long, a
large number of people are
involved. Each
person
in the sample is directly or indirectly
tied to the original teenagers, and
several people may have
named
the same person. The
researcher eventually stops,
either because no new names
are given,
indicating
a closed network, or because the
network is so large that it is at
thee limit of what he or
she
can
study.
Sequential
Sampling
Sequential
sampling is similar to purposive
sampling with one
difference. In purposive sampling,
the
researcher
tries to find as many
relevant cases as possible, until
time, financial resources, or
his or her
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Research
Methods STA630
VU
energy
is exhausted. The principle is to get
every possible case. In sequential
sampling, a researcher
continues
to gather cases until the amount of new
information or diversity is filled.
The principle is to
gather
cases until a saturation
point is reached. In economic terms,
information is gathered, or the
incremental
benefit for additional
cases, levels off or drops
significantly. It requires that the
researcher
continuously
evaluates all the collected cases.
For example, a researcher
locates and plans
in-depth
interviews
with 60 widows over 70 years
old who have been living
without a spouse for 10 or
more
years.
Depending on the researcher's purposes,
getting an additional 20 widows
whose life experiences,
social
background, and worldview differ
little from the first 60 may
be unnecessary.
Theoretical
Sampling
In
theoretical sampling, what the
researcher is sampling (e.g. people,
situation, events, time
periods,
etc.)
is carefully selected, as the researcher
develops grounded theory. A growing
theoretical interest
guides
the selection of sample cases. The
researcher selects cases
based on new insights they
may
provide.
For example, a field
researcher may be observing a site and a
group of people during
week
days.
Theoretically, the researcher may
question whether the people
act the same at other times or
when
other
aspects of site change. He or she
could then sample other
time periods (e.g. nights and
weekends)
to
get more full picture and learn
whether important conditions
are the same.
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