4th course 2012 - Τμήμα Μαθηματικών course 2012_0.pdf · αντίθετο του συμπεράσματος στο οποίο ... ΑΣΚΗΣΗ 3 ... Microsoft PowerPoint

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  • 1

    1

    : . & . 4

    4

    2 test : 2

    :

    2 test : 2

    O

    .

    ,

    0 1.

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    0 . , .

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    0, 1 .0 : = 01: 0 ( ) > 0 ( < 0) (

    )

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    (type I error) : 0, = a = P( 0 / 0 )

    I (type II error) : 0, = = P( 0 / 0 )

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  • 2

    5

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    )

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    p=1-a

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    p=1- =

    0 0 , 0 . 1 0 , 0 . . a

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    :1) ij >= 5 (expected) 5 20% ij

  • 3

    9

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    Kolmogorov-Smirnov test ( )

    ( )

    Binomial test

    Tests

    -test

    . .

    .

    ( ). .

    (pattern) .

    0 : 1 :

    ( pattern).

    FILE OPENDATA gss.sav

    Analyze Nonparametric Tests RunsTest

  • 4

    :

    : 2 (.. ).

    p-value < 0.05

    H0

    , F0(x). :0 : F(x)=F0(x) H1 : F(x) F0(x)

    ; ;

    Analyze Nonparametric Tests 1-Sample K-S

    p-value < 0.05. ,

    : -S .

    . n>30 .. .

    K-S ,

  • 5

    . :0 : p=p0H1 : p > p0 p < p0 ().

    : 2 (cut point) . (.. ).

    48% ;

    Analyze Nonparametric Tests Binomial

    `

    p-value < 0.05

    H0 1:p

  • 6

    p-value < 0.05, .

    QQ plot

    y=x. .

    .

    0.5/0.063 = 7.94,

    , :0 : = 01 : 0 ( )

    :

    () tn-1 ( .. ). t > tn-1 0 . test ( ) - .

    (country15.sav), () 50% ;

    Analyze Descripive Statistics Explore

    FILE OPENDATA country15.sav

    ;

    test.

  • 7

    Analyze Compare Means One Sample T test

    test

    0: =50

    n-1

    95% :(-12.42+50, 11.13+50)= (37.58, 61.13)

    (country15.sav), () 50%;

    t = -0.118