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Statistics: Sampling Methods - YouTube
Channel: Mathispower4u
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Welcome to a lesson on sampling methods. In this lesson
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we'll define the different types of sampling methods when conducting a survey or
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poll.
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The first thing we should do before
conducting a survey,
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is to identify the population that we
want to study. Once we identify the
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population,
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we need to select a survey method. However, a sampling method is biased
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if every member of the population doesn't
have
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equal likelihood of being in the sample. The natural variation of samples
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is called sampling variability. This is
an avoidable and expected in
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random sampling.
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And in most cases is not an issue. So we
can't avoid
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sampling variability but we should try
to avoid
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sampling bias. The first method we'll
discuss
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is a random sample, where a random sample is one in which
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each member of the population has an
equal probability
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of being chosen. As an example, every member of the population has an ID.
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A computer generates random ID's, and the members with the
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random ID's are surveyed. This is an
example
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of a random sample. Related to random sample,
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is the simple random sample, also known
as
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SRS. A simple random sample
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is one in which each sample of a particular size
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and is selected, such that every possible
sample
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of size n, has the same probability
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of being chosen. So notice for a random sample,
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we're selecting individual members of the
population,
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but for a simple random sample, we're selecting a sample size
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of n. To help account for variability,
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pollsters may instead use what's called a stratified sample.
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In stratified sampling, the population
is divided into a number of subgroups,
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or strata.
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Random samples are then taken from each subgroup
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with sample sizes proportional to the
size of the subgroup
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in the population. Stratified sampling
can also be used to select a sample
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with people in desired age groups, political parties,
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sex, etc. So an example of stratified
sampling,
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if thirty percent of employees in various age groups
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given here in this table. In a sample of two hundred employees
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they may randomly select thirty employees,
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twenty to twenty-nine years of age. Because thirty,
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would be fifteen percent of two hundred.
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Seventy employees of age thirty to thirty-nine,
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because seventy is thirty-five percent
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of two hundred. Sixty employees,
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age forty to forty-nine, because sixty is thirty percent of two hundred.
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And finally, forty employees of age fifty to fifty-nine, because
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forty is twenty percent of two hundred. Quota sampling is a variation on stratified sampling,
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wherein samples are collected in each
subgroup until the desired quota is met.
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So once again, as an example, consider the percent of employees in various age
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groups
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as we saw in the previous slide, also
provided here.
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In the sample of two hundred employees, the pollsters will randomly select employees to
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poll.
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However, once thirty employees age twenty to twenty-nine are polled,
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employees in this age group would no longer be polled.
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Again we stop at thirty employees in
this age group because thirty is fifteen percent
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of two hundred, the sampling size. The same for the other groups until the quota for each age
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group is met.
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This method is easier than stratified
sampling.
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This method is easier than stratified
sampling, but does not ensure the same
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level of
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randomness. Another sampling method is
cluster sampling,
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in which the population is divided into
subgroups or clusters.
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And a set of subgroups are selected to
be in the sample.
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As an example, if Taco Shack, a chain of one hundred-fifty restaurants
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wants to survey its customers about a
possible new menu,
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management might randomly select fifty of the stores,
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and conduct a survey. This would be cluster sampling.
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Another sampling method is called
systematic sampling. In systematic
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sampling,
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every n'th member of the population is selected to be in the sample.
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For example, to conduct a survey of
students at a college, a pollster might contact
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every fiftieth
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name on a student enrollment list.
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Systematic sampling is not as random as
simple random sampling.
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If your name is Victor. If your name is
Victor Ruiz,
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and your sister is Victoria Ruiz, more than
likely
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you both would not end up in the sample,
because your names would be right next to
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each other.
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Remember, for a sample not to be biased,
everyone should have the same chance at
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being selected.
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However systematic sampling can yield
acceptable samples.
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Perhaps the worst types of sampling
methods, are convenience
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samples, and voluntary response samples.
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Convenience sampling is when samples are chosen by selecting whoever is
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convenient.
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As an example, a pollster may go to a mall and pull the first fifty people
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who agreed to participate. This is
convenient sampling.
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So while this method is usually quick
and cheap, it often results in bias.
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Voluntary response sampling is allowing
the sample to volunteer.
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For example, if you email out a poll or
survey, those that respont are self-selected
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or volunteers to participate. This is
voluntary response
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sampling. Usually voluntary response
samples are skewed towards people
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who have a particularly strong opinion
about the subject of the survey,
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or have a lot of extra time on their
hands. I hope you found this overview
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of the different sampling methods helpful. Thank you for watching.
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