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Validity and Reliability in Quantitative Research

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    QuantitativeResearch

    March

    9,

    2011

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    Theapproximatetruthofpropositions,

    inferences,or

    conclusions.

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    Sampling

    Design

    Analysis

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    rox ma

    m a r y

    o e

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    Userandomselection,ifpossible,ratherthan

    anonrandom

    rocedure

    Trytoassurethattherespondentsparticipate

    rateslow.

    Usethetheoryofproximalsimilaritymore

    effectivel b a l in techni ues like conce t

    mapping

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    Simp eRan omSamp ing Tose ectn unitsouto

    N suchthat

    each

    NCn hasan

    equal

    chance

    of

    e ngse ec e . sea a eo ran omnum ers,acomputerrandomnumbergenerator,ora

    m c c

    v c

    c

    m . StratifiedRandomSampling Dividethe

    popu at on ntononover app nggroups .e.,

    strata)

    N1,

    N2,

    N3,

    ...

    Ni,

    such

    that

    N1 +

    N2 +

    N3 +

    ...

    + i = . en oas mp eran omsamp eo =n/Nineachstrata.

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    .

    SystematicRandomSampling

    numbertheunitsinthepopulationfrom1toN

    k=N/n=theintervalsize

    randomlyselectanintegerbetween1tok

    thentakeeverykth unit

    ClusterRandomSampling

    randomlysampleclusters

    measureall units

    within

    sampled

    clusters

    MultiStageSampling

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    Accidental,HaphazardorConvenienceSampling Traditional

    "person

    on

    the

    streetinterviews conducted

    frequently

    by

    opinion.Choiceofstudentsbecauseitisconvenientisalsoan

    exam leofthist eofsam lin .

    PurposiveSampling

    We

    sample

    with

    a

    purpose in

    mind.

    We

    usuallywouldhaveoneormorespecificpredefinedgroups

    weareseeking.Forinstance,haveyoueverrunintopeoplein

    amalloronthestreetwhoarecarryingaclipboardandwho

    ares opp ngvar ouspeop ean as ng eycou n erv ew

    them?Mostlikelytheyareconductingapurposivesample.

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    PurposiveSamplingTypes

    ModalInstance

    Sam lin

    T ical

    Voter

    ExpertSampling

    Proportional(Proportionaltothepopulation)

    onproport ona noug to ot estat st ca tests

    Heterogeneity

    Sampling

    (Wide

    Arrays) SnowballSampling(Choosesomeoneandaskhim

    torecommendmore)

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    Constructvalidityreferstothedegreeto

    whichinferences

    can

    le itimatel

    be

    made

    fromtheoperationalizations inyourstudyto

    operationalizations werebased.

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    Externalvalidityinvolvesgeneralizingfrom

    ourstud

    context

    to

    other

    eo le,

    laces

    or

    times,constructvalidityinvolvesgeneralizing

    conceptofyour

    program

    or

    measures.

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    Translationvalidity

    Facevalidit

    Contentvalidity

    r er on

    re a e

    va y Predictivevalidity

    Concurrentvalidity

    Discriminant validity

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    Howaccuratelyyoutranslatedyourconstruct

    FaceValidity seewhether"onitsface"it

    seems

    i e

    a

    goo

    trans ation

    o

    t e

    construct. ContentValidit checktheo erationalization

    againsttherelevantcontentdomainforthe

    .

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    re c veva y npre c veva y,weassess eoperationalization's abilitytopredictsomethingitshouldtheoreticallybeabletopredict.

    Concurrentvalidity Inconcurrentvalidity,weassesstheoperationalization's abilitytodistinguishbetweengroupsthatitshouldtheoreticall beabletodistin uishbetween.

    Convergent

    validity

    In

    convergent

    validity,

    we

    examine

    thedegreetowhichtheoperationalization issimilarto

    theoreticallyshouldbesimilarto.

    Discriminant validity

    In

    discriminant validity,

    we

    examine

    e egree ow c eopera ona za on sno s m ar o(divergesfrom)otheroperationalizations thatittheoreticallyshouldbenotbesimilarto.

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    Measuresofconstructsthattheoretically

    shouldberelated

    to

    each

    other

    are,

    in

    fact,

    observedtoberelatedtoeachother(thatis,

    correspondenceor

    convergence between

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    .

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    Measuresofconstructsthattheoretically

    shouldnotbe

    related

    to

    each

    other

    are,

    in

    fact,observedtonotberelatedtoeachother

    ,

    betweendissimilar

    constructs)

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    .

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    Cronbach andMeehl,1955

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    MultitraitMultimethod Matrix

    (MTMM)

    (Campbelland

    Fiske,

    1959)

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    MultitraitMultimethod Matrix

    (MTMM)Contd.

    TheReliabilityDiagonal Estimatesofthe

    reliabilit

    ofeach

    measure

    in

    the

    matrix.

    You

    canestimatereliabilitiesanumberofdifferent

    . ., , .

    TheValidityDiagonals Correlationsbetweenmeasuresofthesametraitmeasuredusing

    different

    methods.

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    MultitraitMultimethod Matrix

    (MTMM)Contd.

    T eHeterotra tMonomet o Tr ang es

    Theseare

    the

    correlations

    among

    measures

    thatsharethesamemethodofmeasurement.

    TheMonomethod Blocks Theseconsistofall

    ofthe

    correlations

    that

    share

    the

    same

    methodofmeasurement.

    TheHeteromethod Blocks Theseconsistof

    methods.

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    oe c en s n ere a y agona s ou consistentlybethehighestinthematrix. Thatis,

    itselfthanwithanythingelse!Thisisuniformlytrueinourexam le.

    Coefficientsin

    the

    validity

    diagonals

    should

    be

    significantlydifferentfromzeroandhighenoughtowarrantfurtherinvestigation. Thisisessentiallyevidenceofconvergentvalidity.Allof

    criterion.

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    . Avaliditycoefficientshouldbehigherthan

    valuesl in

    in

    its

    column

    and

    row

    in

    the

    same

    heteromethod block. Inotherwords,(SE

    P&P)(SD

    Teacher),

    (SE

    P&P)

    (LC

    Teacher),

    (SE

    .

    Thisistrueinallcasesinourexample.

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    . va ycoe c en s ou e g er ana

    coefficientsintheheterotraitmonomethod

    .

    factorsshouldbestrongerthanmethodsfactors.Notethatthisisnottrueinallcasesinour

    example.For

    instance,

    the

    (LC

    P&P)

    (LC

    Teacher)

    correlationof.46islessthan(SETeacher)(SDeac er , eac er eac er ,an

    Teacher)(LCTeacher) evidencethatthere

    ,Teacherobservationmethod.

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    . Thesamepatternoftraitinterrelationship

    shouldbe

    seen

    in

    all

    trian les.

    The

    exam le

    clearlymeetsthiscriterion.Noticethatinall

    approximatelytwice

    as

    large

    as

    the

    .

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    Reliabilityhastodowiththequalityof

    measurement.In

    its

    ever da

    sense,

    reliabilit

    isthe"consistency"or"repeatability"ofyour

    .

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    PilotTesting

    DoubleCheckDataBeforeEntering

    Triangulation

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    Inresearch,thetermreliabilitymeans

    "re eatabilit "or

    "consistenc ".

    A

    measure

    is

    consideredreliableifitwouldgiveusthe

    thatwhat

    we

    are

    measuring

    isn't

    changing!).

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    varianceofthetruescore/thevarianceof

    themeasure

    Wecan'tcomputereliabilitybecausewe

    '

    EstimatingReliability

    [covariance(X1,X2)]/sd(X1)*sd(X2)

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    n er a eror n er server e a yUsedtoassessthedegreetowhichdifferentraters/observersgiveconsistentestimatesofthesamephenomenon.

    es e es e a yUsedtoassesstheconsistencyofameasurefromonetimetoanother.

    ara e orms e a ty

    Usedto

    assess

    the

    consistency

    of

    the

    results

    of

    two

    tests

    constructedinthesamewayfromthesamecontentdomain.

    Interna Cons stencyRe a tyUsedtoassesstheconsistencyofresultsacrossitemswithinatest.

    Inter Rater or Inter Observer

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    InterRaterorInterObserver

    Reliability

    Correlation

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    Correlation

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    Ininterna consistencyre ia i ityestimationweuseoursinglemeasurementinstrumenta m n s ere

    o

    a

    group

    o

    peop e

    on

    one

    occasiontoestimatereliability.

    Ineffectwejudgethereliabilityoftheinstrumentby

    estimating

    how

    well

    the

    items

    that

    reflect

    the

    sameconstructy e s m arresu ts.

    Wearelookingathowconsistenttheresultsarefor

    different

    items

    for

    the

    same

    construct

    within

    themeasure.

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    AverageInteritemCorrelation

    SplitHalfReliability

    Cronbach's Alpha

    (a)

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    '

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    '

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