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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