This document is quoted from Academic Writing Skill, IFL, Cambodia. It's for students in year three not only at IFL but also other universities in Cambodia.
ICT Role in 21st Century Education & its Challenges.pptx
The Concept of Sampling
1. Lecturer: Leang Sokdina
វិទ្យាស្ថា នសហប្រតិរតតិការអនតរជាតិ កម្ពុជា
Cambodia International Cooperation Institute
Faculty of Arts, Humanities and Languages
Year III, Semester II
2014-2015
Academic Writing
3. Content
I. The Concept of Sampling
II. The concept of sampling in qualitative research
III.Sampling Terminology
IV.Principles of Sampling
V.Factors affecting the inferences drawn from a sample
VI.Aims in Selecting Sample
VII.Type of Sampling
VIII.Random/probability sampling designs
4. IX. Methods of drawing a random sample
X. Different Systems of drawing a random sample
XI.Specific random/probability sampling designs
XII.Non-random/non-probability sampling designs
XIII.Mixed sampling designs
XIV.The calculation of sample size
Conclusion
Content
5. I. The Concept of Sampling
Sampling is the process of selecting a few (a
sample) from a bigger group to become the basic for
estimating the prevalence of an unknown piece of
information.
6. Sampling is thus a trade-off certain gains and losses.
I. The Concept of Sampling (con.)
Sample
7. II. The concept of sampling in
qualitative research
In qualitative research Issue of sampling has:
little significance
Does not quantify or determine the extent of diversity
Explore diversity—saturation point
Saturation point is a subjective judgment we
researcher decide
8. III. Sampling Terminology
The main aim of sampling terminology is to find out the
average of something in particular place.
In this process there are a number of aspects:
Population or study population
Sample
Sample size
Sampling design or strategy
Sampling unit/element
9. III. Sampling Terminology (con.)
Sampling frame
Sample statistics
Population parameters/mean
Saturation point
10. IV. Principles of Sampling
The theory of sampling is guided by three principles:
1st Principle: in a majority of cases of sampling there
will be a difference between the sample statistics and
the true population mean, which is attributable to the
selection of the units in the sample.
11. Sample Sample Average
(statistics sample)
Population
mean/parameter
Difference
1 19.0 21.5 -2.5
2 20.5 21.5 -1.5
3 21.5 21.5 0.0
4 21.5 21.5 0.0
5 22.5 21.5 +1.5
6 24.0 21.5 +2.5
Example of 1st Principle (select two units from sample)
Suppose there are four individuals: A(18ys), B(20ys),
C(23ys) and D(25)
Population mean = (18+20+23+25)/4 = 21.5
12. IV. Principles of Sampling (con.)
2nd Principle: the greater the sample size, the more
accurate will be the estimate of the true population
mean.
3rd Principle: the greater the difference in variable
under study in a population for a given sample size, the
greater will be the difference the sample statistics and
the true population mean.
13. Example of 2nd Principle (select three units from sample)
Sample Sample Average
(statistics sample)
Population
mean/parameter
Difference
1 20.33 21.5 -1.17
2 21.00 21.5 -0.5
3 22.00 21.5 +0.5
4 22.67 21.5 +1.17
Suppose there are four individuals: A(18ys), B(20ys),
C(23ys) and D(25)
Population mean = (18+20+23+25)/4 = 21.5
14. V. Factors affecting the inferences drawn
from a sample
The above principles suggest that two factors may
influence the degree of certainty:
The size of sample—findings based upon larger
sample have more certainty than those based on
smaller one.
The extent of variation in the sampling population—
the greater the variation in the study population with
respect to the characteristics under study for a given
sample size, the greater will be uncertainty.
15. VI. Aims in Selecting Sample
The aims in selecting a sample are to:
Achieve maximum precision in your estimates within a
given sample size;
Avoid bias in the selection of your sample
Bias in the selection of a sample can occur if:
Sampling is done by a non-random method
The sampling frame
A section of a sampling population is impossible to find or
refuses to cooperate
16. VII. Type of Sampling
The various sampling strategies can be categorized as
follows:
Random/probability sampling designs
Non-random/Non-probability sampling designs
Mixed sampling designs
17. VIII. Random/probability sampling designs
For a sampling design to be called a random or
probability sample, it is imperative that each
element in the population has an equal and
independent change of selection in the sample.
18. VIII. Random/probability sampling designs
(con.)
There are two main advantages of Random/Probability
samples:
As they represent the total sampling population
Some statistical tests based upon the theory of
probability can be applied only to data collected from
random samples.
19. IX. Methods of drawing a random sample
Of the methods that you can adopt to select a random
sample the three most common are :
The fishbowl draw –- This method is used in some
lotteries.
Computer Program –- there are a number of
programs that can help you to select random samples.
A table of random numbers –- A table of randomly
generated number in their appendices.
20. IX. Methods of drawing a random sample
The procedure for selecting a sample using a table of
random number is as follows:
Step 1: Identify the total number of element in the
study population.
Step 2: Number of each element starting from 1
Step 3: If the table or random numbers is on more than
one page, choose the starting page by a random
procedure.
A table of random numbers
21. IX. Methods of drawing a random sample
Step 4: Corresponding to the number of digits to which
the total population runs, select the same number,
randomly, of columns or rows of digits from the table.
Step 5: Decide on your sample size
Step 6: Select the require number of elements for your
sample from the table.
A table of random numbers
22. X. Different Systems of drawing a random
sample
There are two ways of selecting a random sample:
Sampling without replacement
Sampling with replacement
23. XI. Specific random/probability sampling designs
There are three types:
simple random sampling(SRS)
Step 1 : Identify by number all elements or sampling units in
the population.
Step 2 : Decide on the sample size (n)
Step 3 : Select (n) using either the fishbowl draw the table of
random numbers or a computer program
Stratified random sampling
24. XI. Specific random/probability sampling designs
Cluster sampling: is bases on the ability of the researcher to
divide sampling population into group.
Step 1 : Identify all elements or sampling units in the sampling
population.
Step 2 : Decide upon the different strata (K) into which you want
to stratify the population.
Step 3 : Place each element into the appropriate stratum
Step 4 : Number every element in each stratum separately
Step 5 : Decide the total sample size (n)
Step 6 : Decide whether you want to select proportionate or
disproportionate stratified sampling and follow the steps
below.
25. XII. Non-random/non-probability sampling designs
There are four non-random designs, which are commonly used
in qualitative and quantitative:
Quota sampling is a researcher’s ease of access to the
sample population. There are advantages and disadvantages
with this design.
- advantages: you do not need any information such the
total number of element, their location…
- disadvantages: the finding cannot be generalized to the
total sampling population hence might not be truly
representative of the total sampling population.
26. XII. Non-random/non-probability sampling designs
Accidental sampling is also base upon convenience in
accessing the sample population. It common among
market research and new paper report.
Judgemental or purposive sampling is the judgment of
the researcher as to who can provide the best information
to achieve the objectives of the study.
Snowball sampling is the process of selecting sample
using network. To start with, a few individuals in a group or
organization are selected and the required information is
collect from them.
27. XIII. Mixed sampling designs
Systematic sampling design: has been classified under the mixed
sapling category. It has characteristics of both random and non-
random sampling design.
The procedure for selecting a systematic simple
Step 1: Prepare a list of all the elements in the study
population (N).
Step 2 : Decide on the sample size (n).
Step 3 : Determine the width of the interval (k) = N/n.
Step 4 : Using the SRS, select an element from the first interval
(nth order)
Step 5 : Select the same order element from each subsequent
interval.
29. XIV. The calculation of sample size
It You can use this sample size calculator to determine
how many subjects you need to collect data from in order
to get results that reflect the target population as
precisely as needed. You can also find the level of
precision you have in an existing sample.
It depends on what you want to do with the findings and
what type of relationships you want to establish