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    SAMPLING

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    The Sampling Design Process

    Define the Population

    Determine the Sampling Frame

    Select Sampling Technique(s)

    Determine the Sample Size

    Execute the Sampling Process

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    Population

    The target population is the collection of elements or objectsthat 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.

    An element is the object about which or from which the

    information is desired, e.g., the respondent.

    A sampling unit is an element, or a unit containing the

    element, that is available for selection at some stage of thesampling process.

    Extent refers to the geographical boundaries.

    Time is the time period under consideration.

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    Sample

    Sampling

    Process of separating the representative part from populationis known as sampling. The method of selecting a specified

    portion, called a sample, from a population, from which

    information concerning the whole can be inferred.

    A portion of the population that represents population

    characteristics is called as sample. They are the subset

    of the population that should represent the entire

    population. They have similar characteristics ofpopulation

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    Population Size: Total number of elements in population

    Element:Individual member of population

    Sample:Representative part of the population

    Sample frame:A list of elements from which the sample isactually drawn

    Sample Size: Total number of elements selected frompopulation.Subject:Individual member of sample

    Respondent: Who answers the query.

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    Categorization of Sampling method

    There are two categories of sampling method.

    Probability based:

    All those sampling methods in which each and every

    member of the population gets an equal chance to becomethe part of the sample.

    Non probability based:

    In non-probability based sampling methods each and everymember from the population does not get an equal chance

    of being selected in the sample.

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    Sampling

    Probability

    Simple Random stratifiedcluster

    nonsystematic

    Proportionatesystematic

    Disproportionate

    size variance

    Non Probability

    quota

    snowball

    judgment

    convenience

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    Probability based sampling methods

    Sampling procedure in which each and

    every element of population has a fixedprobabilistic chance of being selected

    for the sample.

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    Probability

    Simple Random stratifiedcluster

    nonsystematic

    Proportionatesystematic

    Disproportionate

    size variance

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    Simplerandom Sampling Method

    With simple random sampling, the

    probability of selection into the sample

    is known and equal for all members

    of population. Sample is selected in sucha way that every element of the

    population has a known and equal

    chance of being chosen for the sample.

    Also called random sample. The sampleis selected from the entire population i.e.

    without dividing respondents into

    groups.

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    Systematic:

    A probability sampling technique in which the sample is chosen

    by selecting a random starting point and then picking every nth

    element in succession from the sampling frame.Eg: pick 3, Then 6 ,9,12,15,18

    Nonsystematic:

    This implies that every number is selected independently of

    every other element. This method is equivalent to a lottery

    system.

    Eg: A lucky draw.

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    Stratified Sampling Method

    A probability sampling technique that uses two step

    process to partition into subpopulation, or strata .

    samples are selected from each stratum by a

    random procedure.Probability samples that force sample to be more

    representative of the population. It is obtained by

    dividing the population into groups called strata,

    then simple random samples are taken from each of

    the strata. It can be done in two ways:

    Proportionate & Disproportionate.

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    Proportionate: (Based on relationship)

    Size:Group size matters a lot.The bigger

    the size of the strata the more you

    select, the smaller the size of strata

    the less you select.

    Variance:

    It depends on the differences thatexists in a group. More the difference

    more you select, the less the

    difference less you select.

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    Steps Involved in Stratified Sampling

    1. Divide the population into stratas or groups.2. Identify the population in each strata.3. Select the number of respondents either

    proportionately or disproportionately.4. Select final respondents by applying simplerandom sampling method

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    Total Population

    Male

    Female

    60 students

    10%

    40 students

    10%

    100 students: 10%

    6

    4

    10

    Selecting Numbers of Respondents by Proportionate

    Proportionate ( Size )

    Larger the size of the group the more we select, the smaller

    the size of strata the less we select.

    Strata-1

    Strata-2

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    Selecting Numbers of Respondents by Proportionate

    Proportionate ( Variance )

    More the difference in a group more we select the less the

    differences in a group the less we select.

    Total Population

    Male

    Female

    60 students

    40 students

    100 students3

    6

    d

    dd

    Here the differences in strata-2 are more than strata-1 and the

    relationship is 1:2 so for every one respondent from strata-1

    well select two respondents from strata-2 untill the desired

    sample size is achieved

    Strata-1

    Strata-2

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    Disproportionate

    It is the sampling done without any

    relationship. Here importance formula is used

    because the strata size doesnt reflect the

    relative proportions of the population. It

    depends on the own judgment of the

    researcher about the importance of each of the

    strata for the research. You choose the desiredsample size according to your judgment

    about the importance of the strata in the

    research.

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    Total Population

    Male

    Female

    60 students

    40 students

    100 students

    In this type the Respondent are selected on the Judgment

    of the Researcher. Researcher decide which group is more

    important

    5

    5

    Here the researcher thinks that both the strata

    are equally important for the research.

    Strata-1

    Strata-2

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    Cluster Sampling Method

    Population is divided into internally heterogeneoussubgroups. Some are randomly selected for further

    study.

    Advantages:Lowest cost per sample especially with

    geographical clusters.

    Easy to do without a population list.

    Disadvantages:

    Often lower statistical efficiency ( more error) due to

    subgroups being homogenous rather than being

    heterogeneous.

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    Cluster ( Area Sampling Method )DHA

    DHA

    Phase 1

    DHA

    Phase 2

    DHA

    Phase 3

    DHA

    Phase 4

    Street 1 Street 2 Street 1 Street 2 Street 1 Street 2 Street 1 Street 2

    Khayaban Khayaban Khayaban Khayaban

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    Non probability based Sampling

    methods

    In non-probability based sampling

    methods each and every member fromthe population does not get the equal

    chance of being selected in the sample.

    It rely on the personal judgment orconvenience of the researcher.

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    Convenience

    Convenience samples are sample drawn at the convenience of

    the researcher. According to most convenient location, time,

    etc respondents are selected. Convenience sampling may

    misrepresent the population.

    A sampling procedure that leaves the selection of respondentstotally to the field researcher, with no quotas or qualifications

    imposed. It consists of those units of the population that are

    easily accessible.

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    Judgment

    Judgement sampling is a form of non-

    probability sampling in which thepopulation elements are selected based

    on the judgment of the researcher.

    In judgment sampling researcher useshis/ her own educated guess or

    judgment to identify who will be in

    the sample.

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    Snow ball

    Snowball sampling is commonly used when it is difficult to

    identify members of the desired population.Make contact

    with one or two respondents in the population.Ask these

    new respondents to identify further new respondents andso on. And this process of obtaining data by initial respondent

    ,and then from referral to referral is called as snow ball.

    E.g: Giving the questionnaire to the students who know other

    students of their batch and then asking them to identify other

    student whom they know.

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    Quota

    The quota sample establishes a specific

    quota or percentage for various types of

    individuals to be interviewed.

    The size of the quota are determined by the

    researchers belief for relative size of each

    class of respondent in the population. Often,

    quota sampling is used as means of

    ensuring convenience sample size

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    Quota sampling may be viewed as two-stage restricted

    judgmental sampling.

    The first stage consists of developing control categories,or quotas, of population elements.

    In the second stage, sample elements are selected

    based on convenience or judgment.

    Population Sample

    composition composition

    Control

    Characteristic Percentage Percentage Number

    SexMale 48 48 480

    Female 52 52 520

    ____ ____ ____

    100 100 1000

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    Strength and weakness of sampling techniques

    Convenience

    Sampling

    Judgmental

    Sampling

    Quota

    sampling

    Snow Ball

    sampling

    strength weakness

    Least expensive, least time

    consuming, most convenient

    Selection biasness, sample is

    not representative of (P)

    Low cost, convenient , less

    time consuming

    Doesnt allow generalization,

    subjective instead of objective

    Sample can be controlled

    from certain characteristics.

    Selection bias, no assurance

    of representative.

    Can estimate rare

    characteristics

    Time consuming

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    Strength and weakness of sampling techniquesStrength Weakness

    Easily understood,results are

    projectable

    Difficult to construct sampling

    frame, expensive, lower

    precision, no assurance of

    representative

    Can increase representativeness, easier to implement, than

    Srs, Sampling frame not

    necessary.

    Can decrease representative

    Includes all important

    subpopulation, precision.

    Difficult to select relevant

    stratification variable,expensive,not feasible to

    verify many variables.

    Cost effective ,

    easy implement

    Low statistical efficiency

    Simple

    Random

    Systematic

    sampling

    Stratified

    sampling

    Cluster

    sampling

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    Sample vs. Census

    Conditions Favoring the Use of

    Type of Study Sample Census

    1. Budget Small Large

    2. Time available Short Long

    3. Population size Large Small

    4. Variance in the characteristic Small Large

    5. Cost of sampling errors Low High

    6. Cost of nonsampling errors High Low

    7. Nature of measurement Destructive Nondestructive

    8. Attention to individual cases Yes No

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    Factors to determine sample size

    1. Cost2. Time

    3. Importance of decision4. Reliability requirements5. Population size6. Nature of the problem

    7. Diversity of population

    S l Si U d i R h

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    Sample Sizes Used in Research

    Studies

    Type of Study Minimum Size Typical Range

    Problem identification research

    (e.g. market potential)

    500 1,000-2,500

    Problem-solving research (e.g.pricing)

    200 300-500

    Product tests 200 300-500

    Test marketing studies 200 300-500

    TV, radio, or print advertising (percommercial or ad tested)

    150 200-300

    Test-market audits 10 stores 10-20 stores

    Focus groups 2 groups 4-12 groups

    T

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    T

    H

    E

    EN

    D

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