sampling class

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    Sampling a Population

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    Sampling

    The process ofselecting a number of individuals for a

    study in such a way that the individuals represent the

    larger group from which they wereselected

    SampleSample

    the representativesselected for a study whosecharacteristicsexemplify the larger group from which

    they wereselected

    PopulationPopulation

    the larger group from which individuals areselected to

    participate in a study

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    Thepurpo

    sefor

    sampling

    To gather data about the population in

    orde

    r to make

    an infe

    renc

    ethat can b

    egeneralized to the population

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    Thesampling proc

    ess

    POPULATION (N)

    SAMPLE (n)

    INFERENCE

    IS THE SAMPLE

    REPRESENTATIVE?

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    Sampling Process...

    2. Determine sample size (n)

    3. Select sample

    1. Define population (N) to be sampled

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    1. Define population to be sampled...

    (Identifying a suitable sampling frame)

    Identify the group of interest and itscharacteristics to which the findings of

    thestudy will be generalized

    called the targettarget population

    oftentimes the accessibleaccessible or

    availableavailable population must be

    used

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    2.Deciding on a suitable sample size...

    Thesize of thesample influences boththe representativeness of thesample

    and thestatistical analysis of the data

    larger samples are more likely

    to detect a difference betweendifferent groups

    smaller samples are more likely

    not to be representative

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    Rules of thumb for determining the sample size...

    2. For smaller samples (N 100), there is little point in

    sampling. Survey the entire population.

    1. The larger the population size, the smaller the percentage

    of the population required to get a representative sample

    4. If the population size is around 1500, 20% should be

    sampled.

    3. If the population size is around 500 (give or take 100),

    50% should be sampled.

    5. Beyond a certain point (N = 5000), the population size is

    almost irrelevant and a sample size of 400 may be

    adequate.

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    3. Select the sample...

    (Estimating response rate and actual sample size)

    (Response rate will be higher if sample is good representative )

    Response Rate =Total number of responses

    Total no.

    of sample-(ineligible + unreachable)

    Sample size= n 100re%

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    Approaches to quantitative sampling...

    2.2. NonrandomNonrandom (non-probability): does not have

    random sampling at any state of the sample

    selection; increases probability of sampling bias

    (Research purpose is directed towards evaluating how a small

    group is doing for the purpose of explanation or case study,

    like: Which attributes attract people to join job)

    1.1. RandomRandom (Probability)(Probability): allows a procedure governed

    by chance to select the sample; controls for sampling

    bias(to arrive at conclusions and to make predictions affecting the

    population)

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    Random sampling methods...

    (Probability Sampling)

    2. Stratified sampling

    3. Cluster sampling

    4. Systematic sampling

    1. Simple random sampling

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    Simple random samplingSimple random sampling: the process of selecting a

    sample that allows individual in the defined population

    to have an equal and independent chance of being

    selected for the sample

    Steps in random sampling...

    1. Number each of the cases in your sampling frame

    with a unique number. The first case is numbered 0,

    the second 1 and so on.

    2. Select cases using random numbers until your actual

    sample size is reached.

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    advantagesadvantages

    easy to conductstrategy requires minimum knowledge of the

    population to be sampled

    disadvantagesdisadvantages

    need names of all population members

    may over- represent or under- estimate sample

    members

    there is difficulty in reaching all selected in the sample

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    Systematic samplingSystematic sampling: the process of selecting

    individuals within the defined population from a

    list by taking every KKth name.

    Steps in systematic sampling...

    1. Obtain a list of the population.

    2. Determine what

    KKis equal to by dividing the size ofthe population by the desired sample size.

    4. Starting at that point, take every KKth name on the

    list until the desired sample size is reached.

    3. Start at some random place in the population list.

    5. If the end of the list is reached before the desired

    sample is reached, go back to the top of the list.

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    advantagesadvantages

    sample selection is simple

    disadvantagesdisadvantages

    all members of the population do not have an equalchance of being selected

    the KKth person may be related to a periodical order in

    the population list, producing unrepresentativeness

    in the sample

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    Stratified samplingStratified sampling: It is a modification of random

    sampling in which you divide the population into two or

    more relevant and significant strata based on one or anumber of attributes.

    Steps in stratified sampling...

    1. Choose the stratification variable or variables.

    2. Divide the sampling frame into the discrete strata.

    3. Number each of the cases within each stratum with

    a unique number.

    4. Select your sample using either simple random or

    systematic sampling.

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    It can be used.

    when population consist of a number of

    heterogeneoussub-population and elements within a given subpopulation

    are relatively homogenous.

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    advantagesadvantages

    more precise sample

    can be used for both proportions and stratification

    sampling

    sample represents the desired strata

    disadvantagesdisadvantages

    need names of all population members

    there is difficulty in reaching all selected in the sample

    researcher must have names of all populations

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    Cluster samplingCluster sampling: method in which the population is divided

    into groups, any of which can be considered a representative

    SampleSteps in cluster sampling...

    1. Identify and define a logical cluster.

    2. List all clusters (or obtain a list) that make up the

    population of clusters.3. Estimate the average number of population members per

    cluster.

    6. Randomly select the needed number of clusters

    5. Determine the number of clusters needed by dividing the

    sample size by the estimated size of a cluster.

    7. Include in your study all population members in each

    selected cluster.

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    advantagesadvantages

    efficient

    researcher doesnt need names of all population

    members

    reduces travel to site

    useful for educational research

    disadvantagesdisadvantagesfewer sampling points make it less like that the sample

    is representative

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    Nonrandom

    sampling m

    ethod

    s...

    2. Purposive sampling3. Quota sampling

    1. Convenience sampling

    4. Snowball sampling

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    1. Convenience samplingConvenience sampling: the process

    of including whoever happens to beavailable at the time

    called accidental or haphazard

    sampling

    disadvantagesdisadvantages

    difficulty in determining how much of

    the effect (dependent variable) resultsfrom the cause (independent variable)

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    2. Purposive samplingPurposive sampling: the process

    whereby the researcher selects asample based on experience or

    knowledge of the group to be sampled

    called judgment sampling

    disadvantagesdisadvantages

    potential for inaccuracy in the

    researchers criteria and resultingsample selections

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    3. Quota samplingQuota sampling: the process whereby

    a researcher gathers data fromindividuals possessing identified

    characteristics and quotas

    disadvantagesdisadvantages

    people who are less accessible (more

    difficult to contact, more reluctant to

    participate) are under-represented

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    4. Snowball sampling

    It is commonly used when it is difficult to identifymembers of the desired population, for example

    people who are working while claiming

    unemployment benefit.

    Make contact with one or two cases in thepopulation.

    Ask these cases to identify further cases.

    Ask these new cases to identify further new cases(and so on).

    Stop when either no new cases are given or the

    sample is as large as is manageable.

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    Mistak

    esto b

    econ

    sciou

    sof...

    2. Sampling bias

    which threaten to render a studys

    findings invalid

    1. Sampling error

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    Sampling errorSampling error

    the chance and random variation invariables that occurs when any sample

    is selected from the population

    sampling error is to be expected

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    to avoid sampling error, a censuscensus of

    the entire population must be taken

    to control for sampling error,

    researchers use various sampling

    methods

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    Sampling biasSampling bias

    nonrandom differences, generally thefault of the researcher, which cause the

    sample is over-represent individuals or

    groups within the population andwhich lead to invalid findings

    sources of sampling bias include the

    use of volunteers and available groups