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    Regression model of Gini

    Coecient2014R2-DSME2021A : APPLED EC!"!ME#RCS $!R%&S"ESS DECS!"S

    %'

    C(E" # A"'A"G 11))02*1+,

    #A A L!. 11))0+2/)2

    A" RA" 11))02,***

    (E"G A M " 11))02*13,

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    5t: A6o7t Gini Coecient Commonl8 7sed 5s 5 me5s7re of ine975lit8

    -A e5lt8 n5tion c5n 5;e te s5me GiniCoecient of 5 g> C5n5d5 5nd ndi5?

    R5nge from 1 =or 100@ 56sol7te ine975lit8? to 0 =or0@ m5Bim5l e975lit8?

    After t5B eect: %elo 0>4*

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    8: #e eB5m

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    (o: Ass7m

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    De

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    List of inde

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    List of indeg> Denm5rH =E N 0>,3+O GC N 0>2/?

    K E>g> So7t Afric5 =E N 0>/*)O GC N 0>/+1?

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    List of inde s5re of @ of GDP?

    As a )uantitati*e *ariable:K ): Go;ernment eBe> s5re of @ of

    GDP?

    K D5t5 from !ECD 2014

    (planation:

    $isc5l

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    !ter

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    Res7lts of sim

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    St5tistic5l inform5tion:

    Me5n mode medi5n r5nge s>d>

    ean0>+4*,/,)

    13 +)013>*2)0>3*2/+/+

    /4442>0+*33

    23,>/,,/+/+

    /41,>240*0*

    0*+>1022323

    23/+>/)*0*0

    *11),>*+1,1

    ,21>,)*+3E

    12

    S.d.0>0*,13**

    )3134/3>/2*

    /20>0*,,0/,

    )314/)>*/+3

    244>/3,/111

    **)>+//3*+/

    0+1>,,+,*/0

    *11,>/)4/,3

    23203>**)4/

    0++>)20+4E

    12

    Range0>4)*)+2)

    42 ,4**,>) 0>4)4 3)+3>2 21>/ 2/>3 10 /+ 11021>/3)4/E

    1+

    edian0>+202)33

    3 ++*,2>/) 0>,12) 104 3>3) 1*>+) 2>3) /,>) 3)4>/133/E

    11

    ode T"QA T"QA 0>3*4 T"QA 3>* 1,>1 2>, ,1 /, T"QA

    ' 1 2 + 4 ) / 3 , *

    Ginicoecient

    GDP =PPP?Per C5

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    Regression ModelDe

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    #esting te 7tilit8 of te

    model$ st5tistic

    E='?NU0U11U22U**

    K (0: U1NU2NNU*N0

    K (V: At le5st one of te coefficients is nonero

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    Regression Analysis

    Regression Statistics

    M7lti3203

    R S975re 0>)1*4

    AdF7sted R S975re 0>+*22

    St5nd5rd Error 0>03/)

    !6ser;5tions 44

    A&A

    df SS MS F Signicance F

    Regression * 0>21)+ 0>02+* 4>0,+2 0>001+

    Resid75l +4 0>1**2 0>00)*

    #ot5l 4+ 0>414)

    $-test

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    Potenti5ll8 inde

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    Ste

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    Ste< 1 (0: U1N0

    Step;ise RegressionAnalysis

    1+10 0>1+10 1*>400+ 0>0001

    Resid75l 42 0>2,+) 0>00/,

    #ot5l 4+ 0>414)

    Coecients Standard Error t Stat P-value Lower 95% !!er 95%

    Ste

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    Ste< 2 (0: U2N0opulation densityentered.

    df SS MS F Signicance

    F

    Regression 2 0>1/,+0>0,4

    114>012

    4 0>0000

    Resid75l 41 0>24/20>00/

    0

    #ot5l 4+ 0>414)

    CoecientsStandard

    Error t Stat P-value Lower 95%!!er95%

    nterce330+ 0>0*)*,>02*

    0 0>0000 0>)3/) 0>*/40

    Ed7c5tion indeB -0>)41/ 0>11*,

    -4>)21

    2 0>0001 -0>3,+) -0>2**3

    Po4*+

    Ste

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    Ste< + (0: U+N0

    =ne#ploy#ententered.

    df SS MS F Signicance

    F

    Regression + 0>20+20>0/3

    312>,20

    * 0>0000

    Resid75l 40 0>211+0>00)

    +

    #ot5l 4+ 0>414)

    Coecients

    StandardError t Stat P-value Lower 95%

    !!er95%

    nterce30++ 0>0*+33>)0/

    * 0>0000 0>)1+* 0>,*2/

    Ed7c5tion indeB -0>)2*4 0>112)

    -4>303

    / 0>0000 -0>3)/3 -0>+021Po0000 0>0000

    +>2)0) 0>002+ 0>0000 0>0000

    &o ot!er *ariables could be entered into t!e#odel. Step;ise ends.

    Ste

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    Ste1+10 0>1+10 1*>400+ 0>0001

    Resid75l 42 0>2,+) 0>00/,

    #ot5l 4+ 0>414)

    Coecients Standard Error t Stat P-value Lower 95% !!er 95%

    nterce3*2/ 0>101+ 3>,2/2 0>0000 0>),,2 0>**30

    Ed7c5tion indeB -0>)),) 0>12/, -4>404/ 0>0001 -0>,14) -0>+02/

    opulation densityentered.

    df SS MS F Signicance

    F

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    Ste20+2 0>0/33 12>,20* 0>0000

    Resid75l 40 0>211+ 0>00)+

    #ot5l 4+ 0>414)

    Coecients Standard Error t Stat P-value Lower 95% !!er 95%

    nterce30++ 0>0*+3 3>)0/* 0>0000 0>)1+* 0>,*2/

    Ed7c5tion indeB -0>)2*4 0>112) -4>303/ 0>0000 -0>3)/3 -0>+021

    Po0000 0>0000 +>2)0) 0>002+ 0>0000 0>0000

    &nem00/+ 0>002) 2>)302 0>0140 0>0014 0>011+

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    Regression modelE='?N0>30++-0>)2*410>00002/20>00/++

    1 Ed7c5tion indeB

    2 Po

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    D7mm8 W5ri56les

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    D7mm8 W5ri56lesE7ro

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    Co7ntries

    E7ro

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    Regression !7t

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    "e ModelEd7c5tion indeBPo

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    Regression o7t

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    $7rter 5n5l8e

    W$ =W5ri5nce n5tion $5ctor?

    KXX m7lticolline5rit8D =D7r6in-5tson #est?KXX 57tocorrel5tion

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    W$ test

    (iger W$ ;5l7e me5ns

    iger m7lticolline5rit8>

    %8 eB

    S5m1/04

    AdF7sted R S975re 0>0*34

    St5nd5rd Error 0>0*+*

    !6ser;5tions 44

    4 1.1911

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    W$ test res7ltW$12+ 5re sm5llC5n 6e He

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    RegressionAnalysis

    RegressionStatistics

    M7lti,42)

    R S975re 0>30*,

    AdF7sted RS975re 0>/,01

    St5nd5rdError 0>0)))

    !6ser;5tions 44

    A&A

    df SS MS F Signicance

    F

    Regression 4 0>2*42 0>03+/2+>,4*

    ) 0>0000

    Resid75l +* 0>120+ 0>00+1

    #ot5l 4+ 0>414)

    .ee< te d7mm8

    ;5ri56le E7ro

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    .ee< te d7mm8

    ;5ri56le E7ro1/04

    AdF7sted RS975re 0>0*34

    St5nd5rd Error 0>0*+*

    !6ser;5tions 44

    4 1.1911

    RegressionAnalysis0)),

    St5nd5rdError

    1424>4*0)

    !6ser;5tion

    s 444 1.13>?

    RegressionAnalysis

    &nem10,1

    AdF7sted RS975re 0>0412

    St5nd5rdError 4>),12

    !6ser;5tion

    s 444 1.1212

    RegressionAnalysisE7ro242+

    AdF7sted RS975re 0>1,))

    St5nd5rdError 0>444)

    !6ser;5tions 44

    4 1.319>

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    Concl7sionRegression AnalysisRegression Statistics

    M7lti,42)

    R S975re 0>30*,

    AdF7sted RS975re 0>/,01

    St5nd5rd Error 0>0)))

    !6ser;5tions 44

    A&A

    df SS MS F Signicance F

    Regression 4 0>2*42 0>03+/ 2+>,4*) 0>0000

    Resid75l +* 0>120+ 0>00+1

    #ot5l 4+ 0>414)

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    Concl7sion

    $in5l model: ' N 0>)*)) -0>+2,/1 0>00001,20>00,4+- 0>103+ 4

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    Prediction of Cin5 Gini

    ndeB in 2014

    '

    4+2

    ' 5ct75l N 0>4/*

    =68 "5tion5l %7re57 of St5tistics of

    Cin5?

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    Limit5tion!nl8 for !ECD co7ntries>

    "ot for long-term