Guide to Hypothesis Test

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    CONTINUOUS

    NORMALITY TEST INEQUALITY

    2 DATASETS

    NORMAL F TEST

    NOT NORMAL LEVENE'S

    > 2 DATASETS

    NORMAL BARTLETT'S

    NOT NORMAL LEVENE'S

    Conclusions: 2 Data sets

    Normality

    Accept Ho

    Reject Ho

    Variance

    Accept Ho

    Reject Ho

    MeanMe!ian

    Accept Ho

    Reject Ho

    ANDERSONDARL"N#

    NORMAL"T$ TEST

    At %& con(!ence le)el* t+ere i, no s to pro)e t+at -Data- i, not."it# ese$ation/0

    At %& con(!ence le)el* t+ere i, suf pro)e t+at -Data- i, not N

    At %& con(!ence le)el* t+ere i, no s to pro)e t+at t+e )ariance o1 -Data A-

    t+e )ariance o1 -Data."it# ese$ation/0

    At %& con(!ence le)el* t+ere i, suf pro)e t+at t+e )ariance o1 -Data A- i,

    )ariance o1 -Data B-

    At %& con(!ence le)el* t+ere i, no s to pro)e t+at t+e meanme!ian o1 -Da

    it+ t+e meanme!ian o1 -."it# ese$ation/0

    At %& con(!ence le)el* t+ere i, suf

    pro)e t+at t+e meanme!ian o1 -Data At+e meanme!ian o1 -Dat

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    F VARIANCE REMAR&S

    34VAL5E > 606&2 SAM3LE T TEST

    3A"RED T TEST TREATMENT >

    34VAL5E 7 606& MANN48H"TNE$ 734VAL5E > 606& MANN48H"TNE$

    34VAL5E 7 606& MANN48H"TNE$

    34VAL5E > 606& ANNOVA

    34VAL5E 7 606&9R5S9AL48ALL"S

    MOODS MED"AN VAR"AN:E 7 606&

    34VAL5E > 606& 9R5S9AL48ALL"S

    34VAL5E 7 606& MOODS MED"AN VAR"AN:E 7 606&

    ' 2 (ata sets

    INEQUALITY OFMEANS

    fciente)i!enceo!al0

    At %& con(!ence le)el* t+ere i, no sufciente)i!ence topro)e t+at -Data- i, not No!al."it# ese$ation/0

    ciente)i!ence to!al0

    At %& con(!ence le)el* t+ere i, sufciente)i!ence topro)e t+at -Data- i, not No!al0

    fciente)i!encei, not e%ual it+B-0

    At %& con(!ence le)el* t+ere i, no sufciente)i!ence topro)e t+at t+ere i, at lea,t ; ine

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    reater t+an

    le,, t+an

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    NORMAL DATA Minita+ Co!!an(

    2 !ata ,et F Te,t

    ' 2 (ata set Bartlett', Te,t

    NO

    NOT NORMAL DATA Minita+ Co!!an(

    2 !ata ,et Le)ene', Te,t

    ' 2 (ata set Le)ene', Te,t

    INEQUALITY o,VARIANCE

    Stat > Ba,ic Stat > 2Variance Te,t

    2 !ata ,et treatment

    #et t+e 3aire!!i?erence (r,t

    3aire! Di?erence@ ABS .;,t ,ample 4

    2n! ,ample/

    Stat > ANOVA> Te,t o1e Ba,ic Stat > 2Variance Te,t

    Stat > ANOVA> Te,t1or E

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    PARAMETRIC TESTS (data sets are normal)

    INEQUALITY o, MEANS

    2 ,ample T te,t

    ANOVA .Analy,i, o1 Variance/

    -PARAMETRIC TESTS (data sets are not norm

    Mann48+itney Te,t

    Mann48+itney Te,t

    9r=,all 8alli, Te,t

    Moo!', Me!ian Te,t

    VARIANCE-.Value

    ' /0/1 4 Accept Ho

    /0/1 4 Reject HoProceed to Non-Parametric

    Test for Means

    R=n Normality te,t 1or3aire! Di?erence

    3aire! T4Te,ti1 not 3aire! Di? i, not normal

    procee! to Mann48+itney

    ' /0/1 4 Accept Ho

    /0/1 4 Reject HoProceed to Non-Parametric

    Test for Means

    VARIANCE-.Value

    INEQUALITY o, MEANS

    ' /0/1 4 Accept Ho

    /0/1 4 Reject Ho

    ' /0/1 4 Accept Ho

    /0/1 4 Reject Ho

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    Minita+ Co!!an(

    l)

    Minita+ Co!!an(

    MEAN-.Value

    Stat > Ba,ic Stat > 2Variance Te,t

    ' /0/1 4 Accept Ho /0/14 Reject Ho

    Stat > Ba,ic Stat >3aire! T Te,t

    ' /0/1 4 Accept Ho /0/14 Reject Ho

    Stat > ANOVA> Te,t o1e Non43arametric>Mann48+itney

    ' /0/1 4 Accept Ho /0/14 Reject Ho

    Stat> Non43arametric>9r=,all48alli,

    ' /0/1 4 Accept Ho /0/14 Reject Ho

    Stat> Non43arametric>Moo!', Me!ian

    ' /0/1 4 Accept Ho /0/14 Reject Ho

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    T34e o, Test

    Sa!4le ,o 2 Sa

    Sa!4le ,o 2 Sa

    2 ,ample 3 Te,t.3@proportion/

    C4Te,t 1or"n!epen!ence.:+i4,

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    Ste4s +e,oe Minita+

    4le - Test

    4le - Test

    ;0 #et (r,t t+e ,=cce,,1=l e)ent o1 t+e !ata20 :reate a tale 1or e)ent, .,ee ,ample elo/0 9ey in t+e !ata to Minita (el!,

    ;0 #et (r,t t+e ,=cce,,1=l e)ent o1 t+e !ata20 Arrane t+e !ata per0 9ey in t+e !ata to Minita (el!,

    :

    :5

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    Minita+ Co!!an( -.Value

    Stat > Ba,ic Stat > 23roportion,

    ' /0/1 4 Accept Ho /0/14 Reject Ho

    Stat > Tale, > :ro,,4Ta=lation an! :+i4S