Sampling Design CHAPTER FOUR research method


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Sampling Design
CHAPTER FOUR
 
Sampling Design
1.Census and Sample Survey ( Opinion poll, survey, poll ,)
2.Implications of a Sample Design
3.Steps in Sampling Design
4.Criteria of Selecting a Sampling Procedure
5.Characteristics of a Good Sample Design
6.Different Types of Sample Designs
7.How to Select a Random Sample?
8.Random Sample from an Infinite Universe
9.Complex Random Sampling Designs
10.Conclusion
WHAT IS SAMPLE DESIGN
WHAT IS SAMPLE DESIGN : A sample design is the framework, or road map, that serves as the basis for the selection of a survey sample and affects many other important aspects of a survey as well. In the theory of limited population sampling, a sampling design specifies for every possible sample its probability of being drawn.
The selected respondents represent what is technically called a ‘sample’ and the selection process is called ‘sampling technique.’ The survey so conducted is known as ‘sample survey’. Algebraically, let the population size be N and if a part of size n (which is < N) of this population is selected according to some rule for studying some characteristic of the population, the group consisting of these n units is known as ‘sample’. Researcher must prepare a sample design for his study i.e., he must plan how a sample should be selected and of what size such a sample would be.
Census and Sample Survey
What is Census ? Census is official counting of regions, or Nation’s people and collections of economic, social and other data, usually for formulation of development politics and plans and demarcating constituencies of election or survey of entire population as opposed t a sample survey.
Census includes the total process of collecting, compiling, analyzing, evaluating, publishing and disseminating statistical data regarding the population and housing and their geographical location. Population characteristics include demographic, social and economic data and are provided as of a particular date (reference period).
A census is the procedure of systematically acquiring and recording information about the members of a given population. It is a regularly occurring and official count of a particular population.
The term is used mostly in connection with national population and housing censuses; other common censuses include agriculture, business, and traffic censuses.
Continue - census
Census is an official enumeration or inventory or details or record or explanation of the population, with details as to age, sex, occupation, in the registration of citizens and their property, for purposes of taxation. an official periodic count of a population including such information as sex, age, occupation.
Census Methods: Population censuses typically use one of two approaches:
1. De facto – meaning enumeration of individuals as of where they are found in the census, regardless of where they normally reside.
2. De jure - meaning enumeration of individuals as of where they usually reside, regardless of where they are on census day.
sample survey
What is sample survey ?
A sample survey is a study that obtains data from a subset of a population, in order to estimate population attributes .
Sample survey is Cross-sectional study aimed at producing summary statistics such as averages, means, and percentages.
A sample survey is a process for collecting data on a sample of observations which are selected from the population of interest using a probability-based sample design.
In sample surveys, certain methods are often used to improve the precision and control the costs of survey data collection.
These methods introduce a complexity to the analysis, which must be accounted for in order to produce unbiased estimates and their associated levels of precision.
Complex Sample Designs
Statistical methods for estimating population parameters and their associated variances are based on assumptions about the characteristics and underlying distribution of the observations.
Continue - A sample survey
qsurvey sampling describes the process of selecting a sample of elements from a target population to conduct a survey. The term "survey "may refer to many different types or techniques of observation.
q In survey sampling it most often involves a questionnaire used to measure the characteristics and/or attitudes of people.
qDifferent ways of contacting members of a sample once they have been selected is the subject of survey data collection.
q The purpose of sampling is to reduce the cost and/or the amount of work that it would take to survey the entire target population.
qA survey that measures the entire target population is called a census.
qSurvey samples can be broadly divided into two types:
1.probability samples :In a probability sample (also called "scientific" or "random" sample
2. non-probability samples: In non-probability samples the relationship between the target population and the survey sample is immeasurable and potential bias is unknowable
Terms of definition( terminology)
qWhat is population ? A population can be defined as including all people or items with the characteristic one wishes to understand.
q Because there is very rarely enough time or money to gather information from everyone or everything in a population, the goal becomes finding a representative sample (or subset) of that population.
vA population are all of the objects/items in the sample space.(defined groups of human beings or other entities.)
vWhat is sample ? A sample is (s) subset of the population.
vWhat is sampling ? Sampling is the process by which we select our subset of the population, i.e. sample.
Terms of definition( terminology) continue
vIdentify the population of interest. A population is the group of people that you want to make assumptions or hypothesis about.
vSpecify a sampling frame. sampling frame is the group of people from which you will draw your sample.
v Specify a sampling method. There are basically two ways to choose a sample from a sampling frame: randomly or non-randomly. There are benefits to both. Basically, if your sampling frame is approximately the same demographic makeup as your population, you probably want to randomly select your sample
v Determine the sample size. In general, larger samples are better, but they also require more time and effort to manage.
vImplement the plan. Once you know your population, sampling frame, sampling method, and sample size, you can use all that information to choose your sample
Continue – sampling
What is sampling design : A sample design is the framework, or road map, that provides as the basis for the selection of a survey sample and affects many other important aspects of a survey as well.
Why sample?
qResources (time, money) and workload
qGives results with known accuracy that can be calculated mathematically
Sample frame :
Why sample?
qResources (time, money) and workload
qGives results with known accuracy that can be calculated mathematically
Define the target population
The target population is the collection of elements or objects that possess the information sought by the researcher and about which inferences are to be made. The target population should be defined in terms of elements, sampling units, extent, and time.
1.Element: is the object about which or form which the information is desired, ex,respondent.
2.Sampling Units: is element or a unit containing the element that is available for selection at some stage of sampling process.
3.Extent refers to the geographical boundaries
4.Time is the time period under consideration
5.sampling frame is the group of people from which you will draw your sample

Implications of a Sample Design
qImplication is  sample design is a exact plan for obtaining a sample from a given population. It refers to the technique or the procedure the researcher would adopt in selecting items for the sample. Sample design may as well lay down the number of items to be included in the sample i.e., the size of the sample. Sample design is determined before data are collected.
qImplication of sampling design is a detailed outline of which dimensions or scope will be taken at what times, on which material, in what method, and by whom. Sampling plans should be designed in such a way that the resulting data will contain a representative sample of the parameters of interest and allow for all questions, as stated in the goals, to be answered.
qA sample design is a definite plan for obtaining a sample from a given population. It refers to the technique or the procedure the researcher would adopt in selecting items for the sample.
qThe researcher must keep in mind the following points while preparing a sample design. Universe, Sampling unit, Source list, Sample size, Parameters of interest, budgetary constraint, sampling procedure.
Boards and online .
The steps involved in implication of sampling plan are:
The steps involved in implication of sampling plan are:
qidentify the parameters  or limitation to be measured, the range of possible values, and the required resolution
qdesign a sampling scheme that details how and when samples will be taken
qselect sample sizes
qdesign data storage formats
qassign roles and responsibilities
qImplications of Sample Design  Size Requirements
qdiscovery Data and Safety Monitoring
Continue
1.Reliability and Sample Size Requirements
2. Multiple Endpoints and Sample Size Requirements
Sample design may as well lay down the number of items to be included in the sample i.e., the size of the sample.
Sample design is determined before data are collected. There are many sample designs from which a researcher can choose.
Some designs are relatively more precise and easier to apply than others.
Researcher must select/prepare a sample design which should be reliable and appropriate for his research study.
Steps for Sample Design
The researcher must keep in mind the following points while preparing a sample design.
1.Universe
2.Sampling unit
3.Source list
4.Sample size
5.Parameter of interest
6.Budgetary constraint
7.Sampling procedure 
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Steps for Sample Design – continue
1.Universe ;( general population ) - While preparing a sample design, it is important required to define the set of objects to be studied which can be finite (limited) or infinite.
2.Sampling unit - is element or a unit containing the element that is available for selection at some stage of sampling process
3.Source list - sampling frame all items of a universe (finite universe only).
4.Sample size - This is the number of items, selected from the universe, representing a sample
5.Parameters of interest - consider the question of the specific population limitations like to estimate the proportion of persons with some specific attributes in the population or other measure concerning the population.
6.Budgetary constraint - Cost considerations have a major impact upon the decisions concerning not only the sample size but also the sample type.
7.Sampling procedure - decides the techniques to be used in selecting the items for the sample.
further additional explanation see below but this are precise and understanding steps of sample design.
Steps for Sample Design – additional explanation
1.Universe: While preparing a sample design, it is leading required to define the set of objects to be studied. Technically, it is also known as the Universe, which can be finite (limited) or infinite. In case of a finite universe, the number of items is limited. Whereas, in an infinite universe the number of items is limitless.
2.Sampling unit: It is necessary to decide a sampling unit before selecting a sample. It can be a geographical one (state, district, village, etc.), a construction unit (house, flat, etc.), a social unit (family, club, school, etc.), or an individual.
3.Source list: In other words, it is called the ‘sampling frame’ from which the sample is drawn. It comprises the names of all items of a universe (finite universe only). If source list/sampling frame is unavailable, the researcher has to prepare it by himself.
Continue - Steps for Sample Design
4. Sample size: This is the number of items, selected from the universe, constituting a sample. The sample size should not be too large or too small, but optimum(best possible). In other words, an optimum sample accomplishes the requirements of efficiency, representativeness, reliability and flexibility.
5. Parameters of interest: While determining a sample design, it is required to consider the question of the specific population limitations (limitation)of interest. For example, we may like to estimate the proportion of persons with some specific attributes in the population, or we may also like to know some average or other measure concerning the population.
6. Budgetary constraint: Practically, cost considerations have a major impact upon the decisions concerning not only the sample size but also the sample type. In fact, this can even lead to the use of a non-probability sample
7. Sampling procedure: The researcher, at last, decides the techniques to be used in selecting the items for the sample. In fact, this technique/procedure stands for the sample design itself. Apparently, such a design should be selected, which for a provided sample size and cost, has a smaller sampling error.
The Definition of Sample Size
The Definition of Sample Size :
What is sample size? Sample size is the sub-population to be studied in order to make an inference or conclusion to a reference population (A broader population to which the findings from a study are to be generalized.
In census, the sample size is equal to the population size. However, in research, because of time constraint and budget, a representative sample is normally used.
The larger the sample size the more accurate the findings from a study
Availability of resources sets the upper limit of the sample size
 While the required accuracy sets the lower limit of sample size 
Therefore, an optimum  or best sample size is an essential component of any research
Sample size 
What is your population of interest?
To whom do you want to generalize your results?
All doctors
School children
Minority
Women aged 15-45 years
Other
Can you sample the entire population?
Sample size
Sampling
CRITERIA OF SELECTING A SAMPLING PROCEDURE
Sampling criteria is the list of characteristics of the elements that we have determined beforehand that are essential for eligibility to form part of the sample.
We determine what these criteria (or essential characteristics) are as a result of the research problem - or the purpose of the research.
In other words, we look at what we are studying for our research project, and then we decide what essential characteristics the elements (often people) would need in order for us to be able to look at the problem.
For example, these criteria could include (and we are only thinking in terms of human subjects here):
Age (elderly, children, middle-aged, neonates, etc.);
Gender (male/female);
Marital status;
Ethnic status;
Type of disease that they may have;
Type of treatment that they are undergoing;
Ability to understand English/Urdu/German, etc.;
Ability to write; and so on.
CRITERIA OF SELECTING A SAMPLING PROCEDURE
In this context one must remember that two costs are involved in a sampling analysis :
1.The cost of collecting the data
2. The cost of an incorrect implication resulting from the data.
Researcher must keep in view the two causes of incorrect inferences (suggestion)viz., systematic bias and sampling error.
Systematic bias results from errors in the sampling procedures, and it cannot be reduced or eliminated by increasing the sample size.
At best the causes responsible for these errors can be detected and corrected.
Usually a systematic bias is the result of one or more of the following factors:
Continue - factors of systematic bias
Factor systematic bias in criteria of selecting a sampling procedure
1.Inappropriate sampling frame
2.Defective measuring device
3.Non-respondents
4.Indeterminacy principle ( the quality standard )
5.Natural bias in the reporting of data
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Inappropriate sampling frame: In case the sampling frame is inappropriate (a biased representation of the universe), it results in a systematic bias.
Defective measuring device: When the measuring device shows constant error, it results in systematic bias. In a survey, if the questionnaire or the interviewer is biased, it results in systematic bias. Similarly, if the physical measuring device is defective, it shows systematic bias in the data collected through such a measuring device.
Continue
Non-respondents: If all the individuals included in the sample are not involved, it might cause systematic bias. This is because, in such a situation the possibility of establishing contact from an individual is often correlated  or show relationship with what is to be estimated.
Indeterminacy principle: (means the quality or state of being indeterminate) Individuals act differently when kept under observation compared to non-observed situations. For instance, if workers are aware that they are being watched during a work study (which will determine their average length of time to complete a task and quota  or share for piece work), they generally be likely to work quite slowly. Thus, the indeterminacy principle may also be the cause of systematic bias.
Natural bias in data reporting: Natural bias of respondents often causes systematic bias in many inquiries. We can find a downward bias in the income data collected by government, whereas we find an upward bias in the income data collected by some social organization. People tend to understate their income if asked about it for tax purposes. But, they overstate the same when it is a question of their social status.
CHARACTERISTICS OF A GOOD SAMPLE DESIGN
characteristics of  a good sample design is a definite  or exact plan for obtaining a sample from a population. It refers to the technique or the procedure for obtaining a sample from a given population. The  list down the characteristics of a good sample design as under:
(a) Sample design must result in a truly representative sample.
(b) Sample design must be such which results in a small sampling error.
(c) Sample design must be viable  or visible in the context of funds available for the research study.
(d) Sample design must be such so that systematic bias can be controlled in a better way.
(e) Sample should be such that the results of the sample study can be applied, in general, for the universe with a reasonable level of confidence.
DIFFERENT TYPES OF SAMPLE DESIGNS
The sampling Process
The sampling process comprises several stages:
Defining the population of concern
Specifying a sampling frame, a set of items or events possible to measure
Specifying a sampling method for selecting items or events from the frame
Determining the sample size
Implementing the sampling plan
Sampling and data collecting
Reviewing the sampling process
DIFFERENT TYPES OF SAMPLE DESIGNS
There is different type of sample design based on two factors:
Sampling designing are basically two types: or sampling method
Non probability sampling
Probability sampling
Probability samples: In a probability sample (also called "scientific" or "random" sample.
A probability sampling scheme is one in which every unit in the population has a chance (greater than zero) of being selected in the sample, and this probability can be accurately determined.
When every element in the population does have the same probability of selection, this is known as an 'equal probability of selection' (EPS) design. Such designs are also referred to as 'self-weighting' because all sampled units are given the same weight, Probability sampling includes:
Simple Random Sampling,
Systematic Sampling,
Stratified Random Sampling,
Cluster Sampling
Multistage Sampling.
Multiphase sampling
Continue
Non-probability samples: In non-probability samples the relationship between the target population and the survey sample is immeasurable and potential bias is unknowable. Non probability design if the characteristics of non response are not well understood, since non response effectively modifies each element's probability of being sampled.
Non probability  is Any sampling method where some elements of population have no chance of selection (these are sometimes referred to as 'out of coverage'/'under covered'), or where the probability of selection can't be accurately determined.
It involves the selection of elements based on assumptions regarding the population of interest, which forms the criteria for selection. Hence, because the selection of elements is nonrandom, no probability sampling not allows the estimation of sampling errors. No probability Sampling includes:
Accidental Sampling,
Quota Sampling and
Purposive Sampling.
In addition, no response effects may turn any probability design into a no probability design if the characteristics of no response are not well understood, since no response effectively modifies each element's probability of being sampled.
Sampling Methods/ Designs
COMPLEX   RANDOM SAMPLING  DESIGNS
Systematic random sampling
Systematic random sampling
Stratified random sampling
Cluster random sampling
Multistage random  sampling
Area random sampling
Convenience random sampling
Restricted random sampling 
unrestricted random sampling;
purposive random sampling;
Sequential random sampling
SIMPLE RANDOM SAMPLING
SIMPLE RANDOM SAMPLING is Applicable when population is small, homogeneous & readily available
All subsets of the frame are given an equal probability. Each element of the frame thus has an equal probability of selection.
It provides for greatest number of possible samples. This is done by assigning a number to each unit in the sampling frame.
A table of random number or lottery system is used to determine which units are to be selected. Estimates are easy to calculate.
Simple random sampling is always an EPS design, but not all EPS designs are simple random sampling.
Disadvantages
If sampling frame large, this method impracticable.
Minority subgroups of interest in population may not be present in sample in sufficient numbers for study.
SYSTEMATIC SAMPLING
Systematic sampling relies on arranging the target population according to some ordering scheme and then selecting elements at regular intervals through that ordered list.
Systematic sampling involves a random start and then proceeds with the selection of every k th element from then onwards. In this case, k=(population size/sample size).
It is important that the starting point is not automatically the first in the list, but is instead randomly chosen from within the first to the k th element in the list.
A simple example would be to select every 10th name from the telephone directory (an 'every 10th' sample, also referred to as 'sampling with a skip of 10').
ADVANTAGES:
Sample easy to select
Suitable sampling frame can be identified easily
Sample evenly spread over entire reference population
DISADVANTAGES:
Sample may be biased if hidden periodicity in population coincides with that of selection.
Difficult to assess precision of estimate from one survey.
STRATIFIED SAMPLING
STRATIFIED SAMPLING Where population squeezes a number of different categories, the frame can be organized into separate "strata.“ or section  Each division is then sampled as an independent sub-population, out of which individual elements can be randomly selected.
Every unit in a stratum has same chance of being selected.
Using same sampling fraction for all strata ensures proportionate representation in the sample.
Adequate representation of minority subgroups of interest can be ensured by stratification & varying sampling fraction between strata as required.
 Finally, since each stratum is treated as an independent population, different sampling approaches can be applied to different strata.
CLUSTER SAMPLING
Cluster sampling is an example of 'two-stage sampling’.
First stage a sample of areas is chosen;
Second stage a sample of respondents within those areas is selected.
Population divided into clusters of homogeneous units, usually based on geographical contiguity.
Sampling units are groups rather than individuals.
A sample of such clusters is then selected.
All units from the selected clusters are studied.
Advantages :
Cuts down on the cost of preparing a sampling frame.
This can reduce travel and other administrative costs.
Disadvantages: sampling error is higher for a simple random sample of same size.
Often used to evaluate vaccination coverage in EPI
MULTISTAGE SAMPLING
Multistage sampling used frequently when a complete list of all members of the population not exists and is inappropriate.
Moreover, by avoiding the use of all sample units in all selected clusters, multistage sampling avoids the large, and perhaps unnecessary, costs associated with traditional cluster sampling.
This technique, is essentially the process of taking random samples of preceding random samples.
Not as effective as true random sampling, but probably solves more of the problems inherent to random sampling.
An effective strategy because it banks on multiple randomizations. As such, extremely useful.
 Part of the information collected from whole sample & part from subsample.
In Tb survey in all cases – Phase I
X –Ray chest  +ve cases – Phase II
Sputum examination in X – Ray +ve cases - Phase III
Survey by such procedure is less costly, less laborious & more purposeful
QUOTA SAMPLING
The population is first segmented into mutually exclusive sub-groups, just as in stratified sampling.
Then judgment used to select  subjects or units from each segment based on a specified proportion.
For example, an interviewer may be told to sample 200 females and 300 males between the age of 45 and 60.
It is this second step which makes the technique one of non-probability sampling.
In quota sampling the selection of the sample is non-random.
For example interviewers might be tempted to interview those who look most helpful. The problem is that these samples may be biased because not everyone gets a chance of selection. This random element is its greatest weakness and quota versus probability has been a matter of controversy for many years
Area sampling:
Area sampling: If clusters happen to be some geographic subdivisions, in that case cluster
sampling is better known as area sampling. In other words, cluster designs, where the primary sampling unit represents a cluster of units based on geographic area, are distinguished as area sampling.
The plus and minus points of cluster sampling are also applicable to area sampling.
CONVENIENCE SAMPLING
Sometimes known as grab or opportunity sampling or accidental or haphazard sampling.
A type of non probability sampling which involves the sample being drawn from that part of the population which is close to hand. That is, readily available and convenient.
The researcher using such a sample cannot scientifically make generalizations about the total population from this sample because it would not be representative enough.
For example, if the interviewer was to conduct a survey at a shopping center early in the morning on a given day, the people that he/she could interview would be limited to those given there at that given time, which would not represent the views of other members of society in such an area, if the survey was to be conducted at different times of day and several times per week.
This type of sampling is most useful for pilot testing.
In social science research, snowball sampling is a similar technique, where existing study subjects are used to recruit more subjects into the sample.
 
CHART SHOWING BASIC SAMPLING DESIGNS
How to select a random sample :
How to select a random sample : this is a process Random sample technique where we select a group of subjects (a sample) for 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.
Each unit in the sampling frame has an equal chance of being selected
It does not require additional information on the frame (such as geographical area) example
Lottery –sample drawn from the box
Table of random numbers
Computer generated random numbers
---
Fortunately, we can take a random sample in a relatively easier way without taking the trouble of enlisting all possible samples on paper-slips as explained above. Instead of this, we can write the name of each element of a finite population on a slip of paper, put the slips of paper so prepared into a box or a bag and mix them thoroughly and then draw (without looking) the required number of slips for the sample one after the other without replacement.
How to select a random sample :
In doing so we must make sure that in successive drawings each of the remaining elements of the population has the same chance of being selected.
This procedure will also result in the same probability for each possible sample.
We can verify this by taking the above example.
Since we have a finite population of 6 elements and we want to select a sample of size 3, the probability of drawing any one element for our sample in the first draw is 3/6, the probability of drawing one more element in the second draw is 2/5, (the first element drawn is not replaced) and similarly the probability of drawing one more element in the third draw is 1/4. Since these draws are independent, the joint probability of the three elements which constitute our sample is the product of their individual probabilities and this works out to 3/6 × 2/5 × 1/4 = 1/20.



BASIC TERMS
N = the number of cases in the sample space (frame)
n = the number of cases in the sample event
f = n/N = the sampling fraction (probability)
Simple Random sampling
qA basic probability sampling design.
q
qEvery member/element of the population has an equal and independent chance of being selected.
q
qIt requires a listing of the total research population.
q
qRandomness can be accomplished by either lottery
 
HOW TO SELECT A RANDOM SAMPLE ?
How to  select a random sample.
Objective: To select n units out of N  considering that each has an equal chance of being selected.
An example.
Suppose you would want to chose 30 schools out of 100 schools in Mogadishu city.
Continue  ---HOW TO SELECT A RANDOM SAMPLE ?
For instance
Number all the 100 units in the population
Place corresponding numbers on slips of paper
Slips are put in a container or box and mixed thoroughly.
Draw a slip and record the number on the sheet
The process can be repeated till the required sample is obtained.
Random number generator/computer, tables can also be used.
chapter  Questions
1. What do you mean by ‘Sample Design’?  What points should be taken into consideration by a researcher in developing a sample design for this research project.
2.How would you differentiate between simple random sampling and complex random sampling designs?
3.Why probability sampling is generally preferred in comparison to non-probability sampling? Explain the procedure of selecting a simple random sample.
4. Under what circumstances stratified random sampling design is considered appropriate? How would you select such sample?
chapter  Questions
5. Distinguish between:
(a) Restricted and unrestricted sampling;
(b) Convenience and purposive sampling;
(c) Systematic and stratified sampling;
(d) Cluster and area sampling.
6. Under what circumstances would you recommend:
(a) A probability sample?
(b) A non-probability sample?
(c) A stratified sample?
(d) A cluster sample?
7. Explain the procedure of selecting a random sample.

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