SAMPLING AND
SAMPLING METHODS
             ABDULHAKIM H.(MPH)
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Introduction
Researchers often use sample survey
 methodology to obtain information about a
 larger population by selecting and measuring a
 sample from that population.
Since population is too large, we rely on the
information collected from the sample.
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Introduction…
Usually, a representative subgroup of the
 population (sample) is included in the
 investigation.
A representative sample has all the important
 characteristics of the population from which it
 is drawn.
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Introduction…
Sampling enables us to estimate the characteristic of
 a population by directly observing a portion of the
 population.
Researchers are not interested in the sample itself,
      but in what can be learned from the sample—and how this
       information can be applied to the entire population.
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Introduction…
Inferences about the population are based
 on the information from the sample drawn
 from that population.
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Sampling
Sampling :-involves the selection of a number of a
 study units from a defined population.
A main concern in sampling:
       Ensure that the sample represents the population, and
       the findings can be generalized
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             Advantages of sampling
Feasibility: Sampling may be the only feasible method
 of collecting information.
Reduced cost: Sampling reduces demands on resource
 such as finance, personnel, and material.
Greater accuracy: Sampling may lead to better accuracy
 of collecting data
Greater speed: Data can be collected and summarized
 more quickly
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Sampling....
While selecting a SAMPLE, there are basic
 questions:
      What is the group of people from which we want to draw
       a sample?
      How many people do we need in our sample?
      How will these people be selected?
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Common terms used in sampling
Reference population (source population / target
 population)
    the population of interest, to which the investigators
     would like to generalize
    the results of the study, and from which a representative
     sample is to be drawn.
Study or sample population - the population
 included in the sample.
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              Common terms used in
                   sampling
 Sampling unit - the unit of selection in the sampling
  process. (group, individual/things)
 Study unit - the unit on which information is collected.
 Sampling frame - the list of all the units in the reference
  population, from which a sample is to be picked.
 Sampling fraction (Sampling interval) - the ratio of the
  number of units in the sample to the number of units in
  the reference population (n/N)
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Sampling Methods
 Two broad divisions:
   A. Probability sampling methods
   B. Non-probability sampling methods
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              A. Probability sampling
                     methods
 A sampling frame exists or can be compiled.
 Involve random selection procedures.
 All units of the population should have an equal or at
  least a known chance of being included in the sample.
 Generalization is possible (from sample to population).
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               Most common probability
                  sampling methods
   1.        Simple random sampling
   2.        Systematic random sampling
   3.        Stratified random sampling
   4.        Cluster sampling
   5.        Multi-stage sampling
   6. Sampling with probability proportional to Size.
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 1. Simple random sampling
The required number of individuals are selected at
 random from the sampling frame, a list or a database
 of all individuals in the population
Each member of a population has an equal chance of
 being included in the sample.
Representativeness of the sample is ensured.
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 1. Simple random sampling...
To use a SRS method:
 Make a numbered list of all the units in the population
  from which you want to draw a sample.
 Each unit on the list should be numbered in sequence
  from 1 to N (where N is the size of the population).
 Decide on the size of the sample.
 Select the required number of study units, using a
  “lottery” method or a table of random numbers.
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1. Simple random sampling...
SRS has certain limitations:
    Requires a sampling frame.
    Difficult if the reference population is dispersed.
    minority subgroups of interest in the population
        may not be present in the sample in sufficient
        numbers for study.
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2. Systematic random sampling
  Individuals are chosen at regular intervals (
   for Example, every kth) from the sampling
   frame.
  The first unit to be selected is taken at
   random from among the first k units.
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     Steps in systematic random sampling
1.     Number the units on your frame from 1 to N (where N is
       the total population size).
2.     Determine the sampling interval (K) by dividing the
       number of units in the sample by the total number of
       reference population.
3.     Select a number between one and K at random. This
       number is called the random start and would be the first
       number included in your sample.
4. Select every Kth unit after that first number
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 Example
 To select a sample of 100 from a student of 400, you
  would need a sampling interval: 100 /400 = 1/4.
  Hence, the sample interval (K)= 4.
 The number of the first student to be included in the
  sample is chosen randomly, for example by blindly
  picking one out of four of pieces of paper, numbered
  1 to 4.
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Example….
If you choose 3, the third unit on your frame
 would be the first unit included in your sample;
The sample might consist of the following units
 to make up a sample of 100: 3 (the random
 start), 7, 11, 15, 19...395, 399 (up to N, which is
 400 in this case).
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 Steps in systematic random sampling
Merits
Systematic sampling is usually less time consuming and
 easier to perform than simple random sampling.
Demerits
If there is any sort of cyclic pattern in the ordering
 of the subjects which coincides with the sampling
 interval, the sample will not be representative of the
 population.
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 3. Stratified random sampling
It is appropriate when the distribution of the
 characteristic to be studied is strongly affected by
 certain variable (heterogeneous population).
The population is first divided into groups (strata)
 according to a characteristic of interest (eg., age, sex,
 geographic area, prevalence of Disease,etc.).
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3. Stratified random sampling…
A separate sample is then taken independently from
 each stratum, by simple random or systematic
 sampling.
When a population is stratified, each stratum becomes
 an independent population and you will need to decide
 the sample size for each stratum.
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3. Stratified random sampling..
proportional allocation - if the same sampling
 fraction is used for each stratum.
Proportionate allocation
 nj = n/N*Nj
    –    nj is sample size of the jth stratum
    –    Nj is population size of the jth stratum
    –     n = n1 + n2 + ...+ nk is the total sample size
    –     N = N1 + N2 + ...+ Nk is the total population size
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3. Stratified random sampling..
Example: Proportionate Allocation
Village     A   B     C   D     Total
HHs         100 150   120 130      500
S. size     ?   ?     ?   ?        60
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3. Stratified random sampling..
Merit
The representativeness of the sample is
 improved.
DEMERIT
Sampling frame for the entire population has to
 be prepared separately for each stratum.
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4. Cluster sampling
Cluster sampling is the most widely used to
 reduce the cost.
In this sampling scheme, selection of the
 required sample is done on groups of study
 units (clusters) instead of each study unit
 individually.
The sampling unit is a cluster, and the sampling
 frame is a list of these clusters.
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Steps in cluster sampling
The reference population (homogeneous) is
 divided into clusters.
A sample of such clusters is selected randomly.
 then all units within selected clusters are
 included in the sample.
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Example
In a school based study, we assume students of the
 same school are homogeneous.
We can select randomly sections and include all
 students of the selected sections only
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 4. Cluster sampling
Merit
 A list of all the individual study units in the reference population
  is not required.
 It is sufficient to have a list of clusters.
Demerit
 It is based on the assumption that the characteristic to be
  studied is uniformly distributed throughout the reference
  population, which may not always be the case.
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 5. Multi-stage sampling
This method is appropriate when the reference
 population is large and widely scattered.
Similar to the cluster sampling, except that it involves
 picking a sample from within each chosen cluster,
 rather than including all units in the cluster.
This type of sampling requires at least two stages.
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5. Multi-stage sampling
The primary sampling unit (PSU) is the sampling
 unit in the first sampling stage.
The secondary sampling unit (SSU) is the
 sampling unit in the second sampling stage, etc.
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Example:
              Woreda      PSU
               Kebele     SSU
             Sub-Kebele   TSU
                HH
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 5. Multi-stage sampling …..
• In the first stage, large groups or clusters are identified
  and selected. These clusters contain more population
  units than are needed for the final sample.
In the second stage, population units are picked from
 within the selected clusters (using any of the possible
 probability sampling methods) for a final sample.
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5. Multi-stage sampling …..
If more than two stages are used, the process of
 choosing population units within clusters
 continues until there is a final sample.
Merit:- reduce the cost and time of preparing
 sampling frame.
Demerit:- Sampling error is increased compared
 with a simple random sample.
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B. Non-probability sampling
In non-probability sampling, every item has an
 unknown chance of being selected.
In non-probability sampling, there is
    an assumption that there is an even distribution of
     a characteristic of interest within the population.
For probability sampling, random is a feature of
 the selection process.
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B. Non-probability sampling...
In non-probability sampling, since elements are
 chosen arbitrarily, there is no way to estimate
 the probability of any one element being
 included in the sample.
Also, no assurance is given that each item has a
 chance of being included, making it impossible
 either to estimate sampling variability or to
 identify possible bias
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 B. Non-probability sampling...
Despite these drawbacks, non-probability sampling
 methods can be useful when descriptive comments
 about the sample itself are desired.
Secondly, they are quick, inexpensive and convenient.
There are also other circumstances, such as
 researches, when it is unfeasible or impractical to
 conduct probability sampling.
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   The most common types of non-
        probability sampling
1.      Convenience or haphazard sampling
2.      Quota sampling
3.      Snowball sampling technique
4.      Volunteer sampling
5.      Judgment sampling
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1. Convenience or haphazard sampling
 is a method in which for convenience sake the
  study units that happen to be available at the
  time of data collection are selected.
 It is not normally representative of the target
  population because sample units are only
  selected if they can be accessed easily and
  conveniently.
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1. Convenience or haphazard sampling
 The obvious advantage is that the method is
  easy to use, but that advantage is greatly offset
  by the presence of bias.
 Although useful applications of the technique
  are limited, it can deliver accurate results when
  the population is homogeneous.
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2. Quota sampling
This is one of the most common forms of non-
 probability sampling.
Sampling is done until a specific number of units
 (quotas) for various sub-populations have been
 selected.
Since there are no rules as to how these quotas are
 to be filled, quota sampling is really a means for
 satisfying sample size objectives for certain sub-
 populations.
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2. Quota sampling…
The main argument against quota sampling is
 that it does not meet the basic requirement of
 randomness.
Some units may have no chance of selection or
 the chance of selection may be unknown.
Therefore, the sample may be biased
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2.Quota sampling….
Quota sampling
     is generally less expensive than random sampling.
     is also easy to administer, especially considering the
      tasks of listing the whole population, randomly
      selecting the sample and following-up on non-
      respondents can be omitted from the procedure.
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3. Snowball sampling
A technique for selecting a research sample
 where existing study subjects recruit future
 subjects from among their acquaintances
 (friends).
Thus the sample group appears to grow like a
 rolling snowball.
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3. Snowball sampling…
 This sampling technique is often used in hidden
  populations which are difficult for researchers to access;
 Example populations would be drug users or commercial
  sex workers.
 Because sample members are not selected from a
  sampling frame,
       snowball samples are subject to numerous
        biases.
       For example, people who have many friends are more likely to be
        recruited into the sample.
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                  4. Volunteer sampling
• As the term implies, this type of sampling occurs when people
  volunteer to be involved in the study.
• In psychological experiments or pharmaceutical trials (drug
  testing), for example, it would be difficult and unethical to
  enlist random participants from the general public.
• In these instances, the sample is taken from a group of
  volunteers.
  Sometimes, the researcher offers payment to attract
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• In exchange, the volunteers accept the possibility of a
   lengthy, demanding or sometimes unpleasant process.
• Sampling voluntary participants as opposed to the
   general population may introduce strong biases.
• Often in opinion polling, only the people who care
   strongly enough about the subject tend to respond.
• The silent majority does not typically respond,
   resulting in large selection bias.
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                5. Judgment sampling
• This approach is used when a sample is taken based
  on certain judgments about the overall population.
• The underlying assumption is that the investigator will
  select units that are characteristic of the population.
• The critical issue here is objectivity: how much can
  judgment be relied upon to arrive at a typical sample?
• Judgment sampling is subject to the researcher's
  biases.
• One advantage of judgment sampling is the reduced
  cost and time involved in acquiring the sample.
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Thank you