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7/25/2019 PanelDataNotes-1 (1)
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Part 1: Introduction [1/45]
Econometric Analysis of Panel Data
William Greene
Department of Economics
Stern School of Business
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Panel Data Modeling
Outcome(s) yi Model specifcation: Behavioral description
Observation mechanism: Horizontal and time
Common eects built explicitly into the model:Observed and unobserved heterogeneity
Dynamic efects and behavior
esearch Community: !conomics" political science" sociolo#y: lon#itudinal"
$ransport" mar%etin#: stated choice experiments Health: repeated measures" mixed models
&rban ' re#ional economics: hierarchical models
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Starting Point
A Dynamic Linear Model
= +
= + + + + + +
i"t i"t i"t
i"t "i * i"t + i"t , i"t - i"t . i"t
Balestra/0erlove (1..)" +. 2tates" 3ears
4emand 5or 0atural 6as
2tructure
4emand: 6 6 ( )6 " 7 depreciation rate
0e8 4emand 6 9 0 0 3 3
= + + + + + + + +
i"t
i"t i * i"t + i"t , i"t - i"t . i"t i"t i"t
67#as demand
0 7 population
9 7 price
3 7 per capita income
educed ;orm
6 9 0 0 3 3 6
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Benefits of Panel Data
$ime and individual variation in behavior unobservablein cross sections or a##re#ate time series
Observable and unobservable individual hetero#eneity ich hierarchical structures
More complicated models
;eatures that cannot be modeled 8ith only crosssection or a##re#ate time series data alone
4ynamics in economic behavior
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Panel Data Sets
short panels? 0ational lon#itudinal survey o5 youth (0hu#e panels? rit= r5t7 i(rmt / r5t) it" i 7 "D"manyE t7"Dmany
!xchan#e rate data" essentially infnite $" lar#e 0
!ects: i7 vi
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Panel Data Sets
short panels? 0ational lon#itudinal survey o5 youth (0hu#e panels? rit= r5t7 i(rmt / r5t) it" i 7 "D"manyE t7"Dmany
!xchan#e rate data" essentially infnite $" lar#e 0
!ects: i7 vi
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Panel Data Sets
short panels? 0ational lon#itudinal survey o5 youth (0hu#e panels? rit= r5t7 i(rmt / r5t) it" i 7 "D"manyE t7"Dmany
!xchan#e rate data" essentially infnite $" lar#e 0
!ects: i7 vi
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Panel Data
otatin# panels: 2panish household survey 2panish incomeFsavin#s study
!Gciency analysis: !Gciency measurement in rotatin#panel data"I Heshmati" A"Applied Economics" +J" 11K"ppL 11/1+J
&L2L 2urvey o5 @ncome and 9ro#ram 9articipation (2@99)
9seudo panel: $ime series o5 (dierent) crosssectionsL !L#L" 3early & ;amily !xpenditure 2urveyE
"JJJ dierent householdsL Nhat can 8e learn5rom these
Hierarchical (nested) data sets: 2tudent outcome"by year" district" school" teacher
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SIPP Rotating PanelThe lessons learned from ISDP were incorporated into the initial design of SIPP, which was used for
the first 10 years of the survey. The original design of SIPP called for a nationally representative sample of
individuals 15 years of age and older to e selected in households in the civilian noninstitutionali!ed population.
Those individuals, along with others who suse"uently lived with them, were to e interviewed once every #
months over a $%&month period. To ease field procedures and spread the wor' evenly over the #&month reference
period for the interviewers, the (ensus )ureau randomly divided each panel into four rotation groups. *ach
rotation group was interviewed in a separate month. +our rotation groups thus constituted one cycle, called a
wave, of interviewing for the entire panel. t each interview, respondents were as'ed to provide informationcovering the # months since the previous interview. The #&month span was the reference period for the interview.
The first sample, the 1-# Panel, egan interviews in /ctoer 1-$ with sample memers in 1-, households.
The second sample, the 1-5 Panel, egan in +eruary 1-5. Suse"uent panels egan in +eruary of each
calendar year, resulting in concurrent administration of the survey in multiple panels.
The original goal was to have each panel cover eight waves. owever, a numer of panels were
terminated early ecause of insufficient funding. +or e2ample, the 1- Panel had si2 waves3 the 1-- Panel,
part of which was folded into the 1--0 Panel, was halted after three waves. In addition, the intent was for each
SIPP panel to have an initial sample si!e of %0,000 households. That target was rarely achieved3 again, udgetissues were usually the reason. The 1--4 redesign discussed elow6 entailed a numer of important changes.
+irst, the 1--4 Panel spans # years and encompasses 1% waves. The redesign has aandoned the overlapping
panel structure of the earlier SIPP, ut sample si!e has een sustantially increased7 the 1--4 Panel had an initial
sample si!e of #0,1 households.
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Panel Data
otatin# panels: 2panish household survey 2panish incomeFsavin#s study
!Gciency analysis: !Gciency measurement in rotatin#panel data"I Heshmati" A"Applied Economics" +J" 11K"ppL 11/1+J
&L2L 2urvey o5 @ncome and 9ro#ram 9articipation (2@99)
9seudo panel: $ime series o5 (dierent) crosssectionsL !L#L" 3early & ;amily !xpenditure 2urveyE
"JJJ dierent householdsL Nhat can 8e learn5rom these
Hierarchical (nested) data sets: 2tudent outcome"by year" district" school" teacher
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Pseudo Panel
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Panel Data
otatin# panels: 2panish household survey 2panish incomeFsavin#s study
!Gciency analysis: !Gciency measurement in rotatin#
panel data"I Heshmati" A"Applied Economics" +J"11K" ppL 11/1+J
&L2L 2urvey o5 @ncome and 9ro#ram 9articipation (2@99)
9seudo panel: $ime series o5 (dierent) cohortcross sectionsL !L#L" 3early & ;amily !xpenditure
2urveyE "JJJ dierent householdsL
Hierarchical (nested) data sets: 2tudentoutcome" by year" district" school" teacher
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Nested Panel Data
Ant8eiler" NL" 0ested andom !ectsDIPournal o5 !conometrics" J" *JJ" *1-/++
+ +
+ + + +
*
* c"s"t + c"t ,
K 1 " " "
2ulfde concentration(country"station"year7c"s"t)
7 Q Q (lo#649F%m ) Q lo#(F
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Cornwell and Rupert Data
Cornwell and Rupert Returns to Schooling Data, 595 Individuals, !ears(!xtracted 5rom 0
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29
Appli ation !ealt" Care Panel
Data
German Health Care Usage Data, 7,293 Individuals, Varying Numbers o !eriodsVariables in the ile are
Data downloaded from 8ournal of pplied *conometrics rchive. This is an unalanced panel. They can e used
for regression, count models, inary choice, ordered choice, and ivariate inary choice. "his is a large data set#
"here are altogether 27,32$ observations# "he number o observations ranges rom % to 7# &'re(uen)ies
are* %+%2, 2+%-79, 3+.2, /+92$, +%-%, $+%---, 7+..70# 9ote, the variale 9:;/)S elow tells how
many oservations there are for each person. This variale is repeated in each row of the data for the person. D1C"1 + %&Number o do)tor visits -0
H14!I"56 + %&Number o hosital visits -0
H45" + health satisa)tion, )oded - &lo80 %- &high0
D1CVI4 + number o do)tor visits in last three months
H14!VI4 + number o hosital visits in last )alendar year
!U:6IC + insured in ubli) health insuran)e + %; other8ise + -
5DD1N + insured by addon insuran)e + %; others8ise + - HHNINC + household nominal monthly net in)ome in German marID4 + )hildren under age %$ in the household + %; other8ise + -
?DUC + years o s)hooling
5G? + age in years
@5I?D + marital status
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Econometric Analysis of Panel Data
Overview
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Panel Data Econometrics
$his is an intermediate level" 9hL4L course in the areao5 Applied !conometrics dealin# 8ith 9anel 4ataL $heran#e o5 topics covered in the course 8ill span a
lar#e part o5 econometrics #enerally" thou#h 8e areparticularly interested in those techniWues as theyare adapted to the analysis o5 VpanelV or Vlon#itudinalVdata setsL $opics to be studied include specifcation"
estimation" and in5erence in the context o5 modelsthat include individual (frm" person" etcL) eectsL
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#"y a Course on $Panel Data%&
Microeconometrics and applications =contemporary broad feld in
economicsFeconometrics Behavioral modelin# @ndividual choice and response
A plat5orm 5or surveyin# econometricmodels and methods = most o5 the feld Tarious types ecent developments
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Prere'uisites
!conometrics @ or eWuivalent 9hL4L levelintroduction to econometrics
Mathematical statistics
Matrix al#ebra
Ne 8ill do some proo5s and derivationsL
Ne 8ill examine many empirical applicationsL
3ou 8ill apply the tools developed in thecourseL
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(e)t Readings $altagi %&'()*+ ain te-t. read chapters
(,&
/reene %&'(&*+ Recommended.read chapters (,&,0,((,(1
2ooldridge %&'('*+ Suggested.read chapters (,&,),(',((
Cameron and 3rivedi %&''5*+ "eryinteresting. icroeconometrics
Matyas and 2evestre (*JJK)E ecent surveyLContributed papersL
Hsiao(*J,)E Alternative to Balta#i
;rees (*JJ,)E Applications 5rom many areasL
Balta#i (*J, Handboo%)E 2urveys andspecial topics
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Course Applications
9roblem sets 9anel data sets: 2ee the course 8ebsite 2o5t8are: 0pac%a#es:? 2tata" 2A2" !Tie8s 9ro#rammin# environments: " Matlab" 6auss"
Mathematica Ne 8ill not use class time 5or so5t8are
instruction
>
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"ttp**people+stern+nyu+edu*wgreene*Econometrics
*PanelDataEconometrics+"tm
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Course ,utline
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Class Notes
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Pro-lem Sets
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Panel Data Sets
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,t"er Data Sets
ata sets !or "cono#etric $na%&sis
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Rosetta Stone for Data Sets
Stat (ransfer
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#"ere Do #e .o /rom !ere%
evie8 o5 5amiliar classical procedures
;undamental" 5amiliar re#ression extensionsE commoneects models
!ndo#eneity" instrumental variables" 6MM estimation 4ynamic models
Models o5 hetero#eneity
0onlinear models that carry 5or8ard the 5eatures o5the linear" static and dynamic common eects models
ecent developments in non/ and semiparametricapproaches
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Econometric Models
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Estimation Met"ods and Applications