Marketing Research Ch 11

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    Chapter Eleven

    Sampling:

    Design and Procedures

    2007 Prentice Hall 11-1

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    2007 Prentice Hall 11-2

    SAMPLE OR CENSUS

    Population: A population is the entire group we areinterested in, which we wish to describe or drawconclusions about. For example, the population for astudy of infant health might be all children born inBangladesh in the 2006's.

    A census involves a complete enumeration of the

    elements of a population.

    Sample: A sample is a group of units selected from alarger group (the population). For example, the samplemight be all babies born on 7th May in the 1980's.

    Sample characteristics, called statistics used to makeinferences about population parameters.

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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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    Define the Target Population

    The target population is the collection of elements orobjects that possess the information sought by theresearcher and about which inferences are to be made.The target population should be defined in terms ofelements, sampling units, extent, and time.

    An elementis the object about which or from whichthe information is desired, e.g., male or female headof the household responsible for most of the shoppingat department stores.

    A sampling unitis an element, or a unit containing

    the element, that is available for selection at somestage of the sampling process. e.g., households Extentrefers to the geographical boundaries.

    Metropolitan city Timeis the time period under consideration. 2006

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    Determine the sampling frame

    A sampling frame consists of a list or set ofdirections for identifying the target population.E.g. telephone book

    Select a sampling techniqueThe researcher must decide whether to use

    nonprobability or probability sampling.

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    Determine the Sample Size

    Sample size refers to the number of elements tobe included in the study.

    Qualitative Factors to be considered: The importance of the decision: more important, more larger

    The nature of the research: exploratorysmall, conclusivelarge

    The number of variables: manylarge

    The nature of analysis: sophisticated analysis of the datausing multivariate techniquelarge

    Sample sizes used in similar studiesrefer to next slide

    Resource constraints: limited money and time - small

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    Sample Sizes Used in MarketingResearch 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 6-15 groups

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    Classification of Sampling Techniques

    Sampling Techniques

    Nonprobability

    Sampling Techniques

    Probability

    Sampling Techniques

    ConvenienceSampling

    JudgmentalSampling

    QuotaSampling

    SnowballSampling

    SystematicSampling

    StratifiedSampling

    ClusterSampling

    Other SamplingTechniques

    Simple RandomSampling

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    Nonprobability Sampling

    Nonprobability sampling relies on the personaljudgment of the researcher rather than chanceto select sample elements.

    Probability Sampling

    Sampling units are selected by chance.

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    Convenience Sampling

    Convenience samplingattempts to obtain asample of convenient elements. Often, respondentsare selected because they happen to be in the rightplace at the right time.

    use of students, and members of socialorganizations

    mall intercept interviews without qualifying therespondents

    department stores using charge account lists

    people on the street interviews

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    A Graphical Illustration ofConvenience Sampling

    A B C D E

    1 6 11 16 21

    2 7 12 17 22

    3 8 13 18 23

    4 9 14 19 24

    5 10 15 20 25

    Group D happens to

    assemble at a

    convenient time and

    place. So all theelements in this

    Group are selected.

    The resulting sample

    consists of elements

    16, 17, 18, 19 and 20.

    Note, no elements are

    selected from group

    A, B, C and E.

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    Judgmental Sampling

    Judgmental samplingis a form ofconvenience sampling in which thepopulation elements are selectedbased on the judgment of theresearcher.

    purchase engineers selected inindustrial marketing research

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    Graphical Illustration of JudgmentalSampling

    A B C D E

    1 6 11 16 21

    2 7 12 17 22

    3 8 13 18 23

    4 9 14 19 24

    5 10 15 20 25

    The researcher considers

    groups B, C and Eto betypical and convenient.

    Within each of thesegroups one or two

    elements are selectedbased on typicality and

    convenience. The

    resulting sampleconsists of elements 8,

    10, 11,13, and 24. Note,no elements are selected

    from groups A and D.

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    Quota Sampling

    Quota samplingmay be viewed as two-stage restricted judgmentalsampling.

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

    In the second stage, sample elements are selected based onconvenience or judgment.

    Population Samplecomposition composition

    Control

    Characteristic Percentage Percentage NumberSexMale 48 48 480Female 52 52 520

    ____ ____ ____100 100 1000

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    A Graphical Illustration ofQuota Sampling

    A B C D E

    1 6 11 16 21

    2 7 12 17 22

    3 8 13 18 23

    4 9 14 19 24

    5 10 15 20 25

    A quota of one

    element from each

    group, A to E, is

    imposed. Within each

    group, oneelement isselected based on

    judgment or

    convenience. The

    resulting sample

    consistsof elements3, 6, 13, 20 and 22.

    Note, one element is

    selected from each

    column or group.

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    Snowball Sampling

    In snowball sampling, an initial group ofrespondents is selected, usually at random.

    After being interviewed, these respondents areasked to identify others who belong to the targetpopulation of interest.

    Subsequent respondents are selected based onthe referrals.

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    A Graphical Illustration ofSnowball Sampling

    A B C D E

    1 6 11 16 21

    2 7 12 17 22

    3 8 13 18 23

    4 9 14 19 24

    5 10 15 20 25

    Elements 2 and 9 are

    selected randomly

    from groups A and B.

    Element 2 referselements 12 and 13.

    Element 9 refers

    element 18. The

    resulting sample

    consistsof elements2, 9, 12, 13, and 18.

    Note, there are no

    element from group E.

    Random

    Selection Referrals

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    Simple Random Sampling

    Each element in the population hasan equal probability of selection.

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    A Graphical Illustration ofSimple Random Sampling

    A B C D E

    1 6 11 16 21

    2 7 12 17 22

    3 8 13 18 23

    4 9 14 19 24

    5 10 15 20 25

    Select five

    random numbers

    from 1 to 25. Theresulting sample

    consists of

    population

    elements 3, 7, 9,

    16, and 24. Note,there is no

    element from

    Group C.

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    Systematic Sampling

    The sample is chosen by selecting a randomstarting point and then picking every ithelement in succession from the sampling

    frame.

    The sampling interval, i, is determined bydividing the population size N by the sample

    size n and rounding to the nearest integer.

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    Systematic Sampling

    If there are 100,000 elements in thepopulation and a sample of 1,000 is desired.In this case the sampling interval, i, is 100.

    A random number between 1 and 100 isselected. If, for example, this number is 23,the sample consists of elements 23, 123,

    223, 323, 423, 523, and so on.

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    A Graphical Illustration ofSystematic Sampling

    A B C D E

    1 6 11 16 21

    2 7 12 17 22

    3 8 13 18 23

    4 9 14 19 24

    5 10 15 20 25

    Select a random

    number between 1 to

    5, say 2.The resulting sample

    consists of

    population 2,

    (2+5=) 7, (2+5x2=) 12,

    (2+5x3=)17, and

    (2+5x4=) 22.Note, allthe elements are

    selected from a

    single row.

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    Stratified Sampling

    A two-step process in which the population ispartitioned into subpopulations, or strata.

    Next, elements are selected from eachstratum by a random procedure, usually SRS.

    The elements within a stratum should be as

    homogeneous as possible, but the elements indifferent strata should be as heterogeneousas possible.

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    A Graphical Illustration ofStratified Sampling

    A B C D E

    1 6 11 16 21

    2 7 12 17 22

    3 8 13 18 23

    4 9 14 19 24

    5 10 15 20 25

    Randomly select a

    number from 1 to 5

    for each stratum, A toE. The resultingsample consists of

    population elements4, 7, 13, 19 and 21.

    Note, one elementis selected from each

    column.

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    Cluster Sampling

    The target population is first divided into mutuallyexclusive subpopulations, or clusters.

    Then a random sample of clusters is selected, basedon a probability sampling technique such as SRS.

    For each selected cluster, either all the elements are

    included in the sample (one-stage) or a sample ofelements is drawn probabilistically (two-stage).

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    Cluster Sampling

    Elements within a cluster should be asheterogeneous as possible, but

    clusters themselves should be ashomogeneous as possible.

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    A Graphical Illustration ofCluster Sampling (2-Stage)

    A B C D E

    1 6 11 16 21

    2 7 12 17 22

    3 8 13 18 23

    4 9 14 19 24

    5 10 15 20 25

    Randomly select 3

    clusters, B, D and E.

    Within each cluster,

    randomly select oneor two elements. The

    resulting sample

    consists of

    population elements

    7, 18, 20,21, and 23.Note, no elements

    are selected from

    clusters A and C.

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    Types of Cluster Sampling

    Cluster Sampling

    One-StageSampling

    MultistageSampling

    Two-StageSampling

    Simple ClusterSampling

    ProbabilityProportionate

    to Size Sampling

    Strengths and Weaknesses of

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    Technique Strengths WeaknessesNonprobability Sampling

    Convenience samplingLeast expensive, leasttime-consuming, mostconvenient

    Selection bias, sample notrepresentative, not recommended fordescriptive or causal research

    Judgmental sampling Low cost, convenient,not time-consuming

    Does not allow generalization,subjective

    Quota sampling Sample can be controlledfor certain characteristics

    Selection bias, no assurance ofrepresentativeness

    Snowball sampling Can estimate rarecharacteristics

    Time-consuming

    Probability samplingSimple random sampling(SRS)

    Easily understood,results projectable

    Difficult to construct samplingframe, expensive, lower precision,no assurance of representativeness.

    Systematic sampling Can increaserepresentativeness,easier to implement thanSRS, sampling frame notnecessary

    Can decrease representativeness

    Stratified sampling Include all importantsubpopulations,

    precision

    Difficult to select relevantstratification variables, not feasible tostratify on many variables, expensive

    Cluster sampling Easy to implement, costeffective

    Imprecise, difficult to compute andinterpret results

    Strengths and Weaknesses ofBasic Sampling Techniques

    Choosing Nonprobability Vs

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    Choosing Nonprobability Vs.Probability Sampling

    Conditions Favoring the Use ofFactors Nonprobability

    samplingProbabilitysampling

    Nature of research Exploratory Conclusive

    Relative magnitude of samplingand nonsampling errors

    Nonsamplingerrors arelarger

    Samplingerrors arelarger

    Variability in the population Homogeneous

    (low)

    Heterogeneou

    s (high)

    Statistical considerations Unfavorable Favorable

    Operational considerations Favorable Unfavorable