Sampling Considerations

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    SAMPLING CONSIDERATIONS

    RESEARCH CONCEPTS AND

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    Sampling Concepts

    Population: Population refers to any group of people or objects that formthe subject of study in a particular survey and are similar in one or more

    ways.

    Element: An element comprises a single member of the population.

    Sampling frame: Sampling frame comprises all the elements of a

    population with proper identification that is available to us for selection at

    any stage of sampling. Sample: It is a subset of the population. It comprises only some elements

    of the population.

    Sampling unit:A sampling unit is a single member of the sample.

    Sampling: It is a process of selecting an adequate number of elements

    from the population so that the study of the sample will not only help in

    understanding the characteristics of the population but will also enable usto generalize the results.

    Census (or complete enumeration):An examination of each and every

    element of the population is called census or complete enumeration.

    RESEARCH CONCEPTS AND

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    RESEARCH CONCEPTS AND

    Advantages of Sample over

    Census Sample saves time and cost.

    A decision-maker may not have too much of time towait till all the information is available.

    There are situations where a sample is the onlyoption.

    The study of a sample instead of completeenumeration may, at times, produce more reliableresults.

    A census is appropriate when the population size issmall.

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    RESEARCH CONCEPTS AND

    Sampling vs Non-Sampling Error Sampling error: This error arises when a sample is not

    representative of the population.

    Non-sampling error: This error arises not because a sample isnot a representative of the population but because of otherreasons. Some of these reasons are listed below:

    Plain lying by the respondent.

    The error can arise while transferring the data from the questionnaireto the spreadsheet on the computer.

    There can be errors at the time of coding, tabulation and computation.

    Population of the study is not properly defined

    Respondent may refuse to be part of the study.

    There may be a sampling frame error.

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    RESEARCH CONCEPTS AND

    Sampling Design

    Probability Sampling Design - Probability sampling designsare used in conclusive research. In a probability samplingdesign, each and every element of the population has aknown chance of being selected in the sample.

    Types of Probability Sampling Design Simple random sampling with replacement

    Simple random sampling without replacement

    Systematic sampling

    Stratified random sampling

    Cluster sampling

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    RESEARCH CONCEPTS AND

    Sampling Design

    Non-probability Sampling Designs - In case ofnon-probability sampling design, the elements ofthe population do not have any known chance ofbeing selected in the sample.

    Types of Non-Probability Sampling Design

    Convenience sampling

    Judgmental sampling

    Snowball sampling

    Quota sampling

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    Determination of Sample Size

    The size of the population does not influence the size of thesample

    Methods of determining the sample size in practice:

    Researchers may arbitrary decide the size of samplewithout giving any explicit consideration to the accuracy ofthe sample results or the cost of sampling.

    The total budget for the field survey in a project proposal isallocated.

    Researchers may decide on the sample size based onwhat was done by the other researchers in similar studies.

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    Determination of Sample SizeConfidence interval approach for determining the size of thesample

    The following points are taken into account for determining thesample size in this approach.

    The variability of the population: Higher the variability asmeasured by the population standard deviation, larger will be thesize of the sample.

    The confidence attached to the estimate: Higher the confidencethe researcher wants for the estimate, larger will be sample size.

    The allowable error or margin of error: Greater the precision theresearch seeks, larger would be the size of the sample.

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    Determination of Sample Size

    Sample size for estimating population mean -The formula for determining sample size is given

    as:

    Where

    n = Sample size

    =

    Population standard deviatione = Margin of error

    Z = The value for the given confidence interval

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    Determination of Sample Size

    Sample size for estimating population proportion

    1. When population proportion p is known

    2. When population proportion p is not known