21
Outline Slavery, Education, and Inequality Graziella Bertocchi and Arcangelo Dimico University of Modena Junel 03, 2010 Graziella Bertocchi and Arcangelo Dimico University of Modena

Slavery, Education, Inequality in the United States of America Bertochi and Dimico 2010

Embed Size (px)

DESCRIPTION

Slavery, Education, Inequality in the United States of America Bertochi and Dimico 2010 Andrew Williams Jr Email: [email protected] Mobile: +1-424-222-1997 Skype: andrew.williams.jr http://twitter.com/AWilliamsJr http://slideshare.net/andrewwilliamsjr http://xeeme.com/AmbassadorAWJ https://www.facebook.com/FAUBermuda http://www.yatedo.com/andrewwilliamsjr http://www.slideshare.net/andrewwilliamsjr http://www.linkedin.com/in/andrewwilliamsjr http://www.facebook.com/ajactionteam http://www.facebook.com/ambassadorawj http://www.facebook.com/andrewwilliamsjr http://www.facebook.com/AJGombeyBermuda

Citation preview

Page 1: Slavery, Education, Inequality in the United States of America Bertochi and Dimico 2010

Outline

Slavery, Education, and Inequality

Graziella Bertocchi and Arcangelo Dimico

University of Modena

Junel 03, 2010

Graziella Bertocchi and Arcangelo Dimico University of Modena

Page 2: Slavery, Education, Inequality in the United States of America Bertochi and Dimico 2010

Outline

1 Slavery, Education, and InequalityMotivationsSlavery and DevelopmentSlavery and InequalityFrom Slavery to Racial Inequality. Why?Convergence and Divergence in EducationConclusions

Graziella Bertocchi and Arcangelo Dimico University of Modena

Page 3: Slavery, Education, Inequality in the United States of America Bertochi and Dimico 2010

Outline

Motivations

Motivation

According to economic historians (Engerman and Sokoloff,1997, 2005), factor endowments have determinedinequality-perpetuating institutions which have hamperedeconomic growth;

In this paper we focus on the long-term influence of a specificinstitution − slavery − within a single country − the UnitedStates;

Current indicators of interest:

income per capita;per capita income inequality;racial income inequality;educational racial inequality.

Graziella Bertocchi and Arcangelo Dimico University of Modena

Page 4: Slavery, Education, Inequality in the United States of America Bertochi and Dimico 2010

Outline

Motivations

Slavery in the US

Slavery was initially introduced in the US from in the 16thcentury;

The Middle Passage brought to the US 645,000 slaves, mostlyfrom Africa, initially settled in the coastal Southern colonies;

Between the American Revolution and the Civil War, theSecond Middle Passage relocated one million slaves to theSouthern inland regions;

In 1860, the slave population amounted to 4 millions, i.e.,13% of the population, and was mostly located in South; 90%of the blacks living in the US were slaves;

Graziella Bertocchi and Arcangelo Dimico University of Modena

Page 5: Slavery, Education, Inequality in the United States of America Bertochi and Dimico 2010

Outline

Motivations

Slavery in the US

In 1865, slavery was abolished;

After abolition, subsequent waves of migration brought manyformer slaves from the rural South to the urban North;

In 2000 the majority of the blacks (55%) was still living in theSouth, against a minority (16%) of the whites

Graziella Bertocchi and Arcangelo Dimico University of Modena

Page 6: Slavery, Education, Inequality in the United States of America Bertochi and Dimico 2010

Outline

Motivations

Related Literature

On the long-term impact of factor endowments andinstitutions:

Engermann and Sokoloff (1997), Acemoglu et al. (2002,2008), Galor et al.(2009);

On the efficiency of slavery:

empirics: Fogel and Engerman (1974), David et al. (1976);models: Lagerlf (2009), Acemoglu and Wolitzky (2009);

Graziella Bertocchi and Arcangelo Dimico University of Modena

Page 7: Slavery, Education, Inequality in the United States of America Bertochi and Dimico 2010

Outline

Motivations

Related Literature

On the long-term impact of slavery:

Africa: Nunn (2008);Americas: Engermann and Sokoloff (2005), Nunn (2008);US: Nunn (2008), Mitchener and McLean (2003), Lagerlf(2005)

On race and inequality in the US:

affirmative action;human capital ;

Smith (1984), Smith and Welch (1989), Heckman (1990),Margo (1990), Goldin (1998), Sacerdote (2005)

Graziella Bertocchi and Arcangelo Dimico University of Modena

Page 8: Slavery, Education, Inequality in the United States of America Bertochi and Dimico 2010

Outline

Slavery and Development

Income per capita, 2000 vs slaves in 1860/Population: All Counties

ALAL

ALAL

ALAL

AL ALAL AL

ALAL

ALALALAL ALALAL AL

AL

ALAL

AL

AL ALAL

ALAL

AL

ALAL AL

ALAL

ALAL

ALAL

ALAL

ALAL

AL

ALAL

ALAL

ALAL

ALAL

AR ARAR

ARARAR ARAR

ARARARAR

ARARARAR

ARAR

AR ARAR

AR

ARAR AR

AR ARARARARARARAR

AR

AR

AR ARAR ARAR

ARAR

AR

AR AR

ARAR

AR

AR

AR

AR

AR

ARARAR

CA

CACACACA

CA

CA

CA

CACA

CA

CA

CACA

CA

CA

CA

CA

CA

CACA

CA

CA

CA

CACA

CA

CA

CA

CA

CACACA

CA

CA

CACA

CACACACA

CA

CA

CO

CT

CTCTCTCTCTCTCTDE

DE

DEFL

FL

FL

FL

FL

FL

FLFL

FL FL

FL

FLFL

FLFL

FL

FL

FL

FLFL

FL

FL

FL

FL

FLFL

FL

FL

FL

FL

FLFLFL FL

FL FLGA GAGA

GA

GA

GA

GA

GA

GA

GA GAGA

GAGA

GAGA

GA

GAGA

GA

GA

GA

GAGA

GA

GA

GAGA

GAGA

GAGA

GA

GA

GA

GA

GAGA

GA

GAGA

GAGA

GA

GA

GA

GA

GA

GAGA

GA

GA GA

GA

GAGA

GA

GA

GA

GA

GA

GA GA

GAGA

GAGA

GAGAGA

GA

GAGAGA

GAGA

GA

GA

GAGAGA GA

GA

GA

GA

GAGA

GAGA

GAGA GAGA GA GA

GA

GAGA

GAGA

GA

GAGAGA

GAGA

GA GAGA GA

GAGA

GA

GA

GA GAGA GAGAGA

GAGA GA

GA

GA

GA

GAGAGA

IL

ILIL

IL

IL

ILILILILILILILILILIL

IL

ILILILILIL

IL

ILIL

IL

IL

IL

ILILILIL

IL

IL

IL

ILILILILILILILILIL

IL

IL

IL

IL

IL

IL

ILILILILILIL

ILILILILILILILILIL

ILILIL

ILILILILIL

IL

IL

ILILIL

IL

ILILILIL

IL

IL

ILILILILILIL

ILILILIL

IL

ILILILILILILILIN

ININ

ININ

ININ

INININ

ININININ

ININININ

INININ

IN

ININININININ

IN

IN

IN

IN

ININININININININ

IN

ININ

IN

ININININ

IN

ININININININ

ININININININININ

ININ

INININININ

IN

IN

ININ

IN

IN

ININ

ININ

IN

IN

ININININ

IN

INININININIAIAIAIAIAIAIAIAIAIAIAIAIAIAIAIAIAIAIAIA

IAIAIAIA

IA

IAIA

IAIAIAIAIAIAIAIAIAIAIAIAIAIAIAIAIAIAIAIA

IA

IA

IAIAIA

IAIAIAIA

IA

IAIAIAIAIAIAIAIAIAIAIAIAIAIAIAIAIA

IA

IAIA

IAIA

IAIAIAIAIAIAIAIAIAIAIA

IA

IAIAIAIAIA

IA

KSKSKSKSKSKSKS

KSKSKSKSKSKSKSKSKSKS

KS

KS

KSKS

KSKSKSKSKSKSKSKSKS

KSKSKSKSKS

KYKY

KYKYKY

KY

KY KYKY KY

KYKY

KY

KY

KY

KYKYKYKY

KYKY

KY

KY

KY

KY KYKY

KY

KYKY

KY

KYKY

KY

KY

KY KYKYKY

KYKY

KY

KYKY

KY

KY

KY

KYKY

KY

KY

KY

KY

KY

KY

KY

KY

KYKY

KYKY

KY

KY

KYKY

KY

KYKY

KY

KY

KYKY KYKY

KY

KYKY

KY

KY

KYKY

KYKY

KY

KYKY

KYKYKY

KY

KY

KYKYKY

KYKY

KY

KYKY KYKY

KY

KYKY

KY

KY

KY

KY

KY

LA

LALALA

LALALA

LA LALA LALA

LA

LALA

LALA

LA LA

LALA

LA

LALA

LALALA LALA

LA

LA

LA

LALALA

LA LA

LA

LA

LALALA

LA LA

LA

LALA

MEME

ME

ME

MEMEMEME

MEMEME

ME

MEMEME

MEMD

MDMDMD

MD

MDMD

MD

MD

MDMD

MD

MD

MD

MDMD MD

MD

MD

MD MDMD

MA

MAMAMAMA

MAMAMA

MAMAMA

MA

MA

MA

MI

MIMIMIMIMIMIMIMIMIMIMI

MIMIMIMIMI

MI

MI

MIMIMI

MIMI

MIMIMIMIMIMIMIMIMI

MI

MI

MI

MIMIMI

MI

MIMI

MI

MI

MI

MI

MIMIMI

MI

MI

MIMIMIMIMIMIMIMI

MI

MI

MN

MN

MNMNMNMNMN

MN

MN

MNMNMN

MN

MNMNMNMNMN

MN

MN

MNMNMNMN

MN

MNMNMNMNMNMNMNMNMN

MNMNMNMN

MN

MNMN

MNMN

MN

MNMNMN

MN

MNMNMNMN

MN

MNMN

MN

MNMNMN

MS

MSMS MSMS

MSMSMS MS

MSMS

MSMS

MS

MSMS

MSMS MS

MS

MS

MSMS

MS

MS

MS

MSMS

MS

MSMSMS

MS

MS MSMSMS MS

MSMS

MSMS

MSMS

MS

MSMSMS

MSMS

MSMS MS

MS

MSMS

MS

MS MS MSMO

MOMO

MOMOMO MO

MOMO

MOMOMO

MOMO

MOMO

MO

MO

MO

MO

MOMOMO

MOMO

MO

MOMOMOMO

MO

MO

MO

MO

MO

MOMOMO

MO

MOMO MO

MO

MOMOMO MO

MO

MOMOMOMOMO

MO

MO MO

MOMOMO

MO

MOMOMO

MOMO

MOMOMO MOMO

MOMOMOMO

MO

MO

MO

MOMO MOMO

MO

MO

MO

MO

MO

MOMOMO

MOMO

MO

MO

MOMO

MO

MO

MO

MO MO

MO

MOMOMOMOMO

MO

MO

MO

MOMOMOMO

NENENE

NENENE

NE

NENENENE

NE

NENE

NE

NE

NE

NE

NE

NE

NENENENENENE

NENENV

NVNHNHNHNH

NHNHNHNH

NHNHNJ

NJ

NJNJNJ

NJ

NJ

NJNJ

NJ

NJNJNJ

NJ

NJNJNJ

NJ

NJNJ

NJNM

NM

NM

NM

NM

NMNMNM

NY

NY

NY

NYNYNYNYNYNY

NY

NYNY

NYNY

NYNY

NYNYNYNYNYNYNY

NY

NYNY

NY

NY

NY

NYNYNYNYNY

NYNYNY

NY

NYNYNY

NY

NY

NYNY

NYNYNY

NY

NY

NYNYNYNYNY

NY

NY

NY

NYNY

NCNCNC

NCNC NC NCNCNC

NC

NC

NCNC

NCNC

NC

NCNC

NC

NCNC NCNCNCNCNC

NC

NC NC

NC

NCNC

NCNCNC

NC

NCNCNC

NC

NCNC

NC

NCNC

NCNC

NCNCNC

NC NC

NC

NC

NCNC NC

NCNC

NC

NCNC

NCNC

NC

NCNC

NC

NCNCNC NC

NC NCNC

NC

NC

NC

NCNC

NCNC

NC NCNCNCOH

OHOHOH

OH

OH

OHOH

OH

OHOHOHOHOH

OHOHOH

OH

OHOH

OHOHOH

OH

OHOH

OH

OH

OH

OH

OHOH

OHOH

OH

OHOHOH

OH

OHOHOH

OH

OH

OHOHOHOHOHOHOH

OH

OH

OHOH

OH

OH

OHOHOH

OH

OH

OHOH

OHOH

OHOHOHOHOHOHOHOHOHOHOHOHOHOHOH

OH

OH

OHOHOHOHOH

OROR

OROROROROROROROROROR

OR

OROROR

OR

ORP A

P A

P AP A

P A

P AP AP A

P A

P AP AP AP A

P A

P AP AP AP AP A

P AP AP A

P AP AP AP A

P AP AP AP A

P AP AP A

P A

P AP AP A

P AP AP AP AP AP A

P A

P AP A

P AP AP A

P AP AP A

P A

P AP AP AP AP AP AP AP A

P AP AP AP A

RIRIRI

RI

RI

SCSC

SC

SCSC

SCSCSC SC

SC

SC

SCSC

SC

SCSCSC SC

SC

SC SC

SCSCSC

SCSC

SCSCSC

SCT N

T NT NT N

T NT N

T N

T N T NT N

T N

T NT N

T NT N

T N

T NT NT NT N T N

T NT NT N T N

T N

T N

T N

T N

T NT N

T NT N T N

T N T N

T NT NT NT N

T N

T N

T N

T NT N

T NT NT NT N

T NT N

T N T N

T NT N

T N

T N

T N

T NT N

T N

T N

T NT N

T N T N

T NT N

T N

T N

T NT N

T N T N

T N

T NT N

T NT N

T N

T NT N

T N

T N

T X

T X

T X

T XT XT X

T X

T XT XT X

T X T XT X

T XT XT X

T XT X

T X

T X

T XT X

T XT X

T X

T X

T X

T XT X

T X

T XT X

T XT X

T X

T XT X

T XT X

T XT X

T XT X

T XT X

T X

T XT X

T X

T XT X T X

T X

T XT XT X

T X

T XT X T XT X

T X

T XT X

T XT X

T X

T XT X

T X

T X

T X

T XT X

T XT XT X

T X T XT X

T XT X

T X

T X

T XT XT X

T X

T XT X

T X

T X T XT X T X

T X T X

T X

T X

T X

T XT XT X

T XT XT X

T XT X

T X

T X

T X

T X

T X T X

T X

T XT XT XT X

T X

T X

T X

T X

T X

T X

T X

T X

T X

T X

T XT X

UTUTUT

UT

UTUTUT

UT

UT

UTUTUTUTVTVT

VT

VT

VT

VT

VTVTVTVTVTVTVTVT

VAVA

VAVA

VA

VAVA

VAVA

VA

VAVA

VA

VA VA

VA

VA

VAVA

VA

VA

VAVAVA

VA

VA

VAVA VA

VAVA

VAVA

VA

VAVA

VA

VA

VA

VA

VA

VA

VA

VA

VAVA

VA

VAVA

VAVA

VAVA

VA

VA

VA

VA

VAVAVA

VAVA

VA

VA VAVA

VAVA

VAW AW A

W AW AW A

W A

W AW AW A

W AW AW AW A

W AW AW AW IW IW IW I

W IW I

W I

W IW I

W I

W I

W I

W I

W IW I

W IW IW IW I

W IW IW IW IW I

W I

W I

W I

W I

W I

W I

W IW I

W I

W I

W IW I

W I

W I

W I

W IW IW I

W I

W I

W I

W I

W I

W I

W I

W I

W I

W I

W I

W I

W I

W I

W IW I

Y=10.0678 - 0.2431(-10.76) X

99.

510

10.5

1111

.5

0 .2 .4 .6 .8 1slave_1860

lnincome_00 Fitted values

Figure: Income pc vs Slavery: All Counties

Graziella Bertocchi and Arcangelo Dimico University of Modena

Page 9: Slavery, Education, Inequality in the United States of America Bertochi and Dimico 2010

Outline

Slavery and Development

Income per capita vs Slavery: Slave States Only

ALAL

ALAL

ALAL

AL AL

ALAL

ALAL

ALAL

ALAL ALALAL AL

AL

ALAL

AL

AL ALAL

ALAL

AL

AL

ALAL

ALAL

ALAL

ALAL

AL

ALAL

AL

AL

ALAL

ALAL

ALAL

AL

AL

ARAR

AR

ARARAR AR

ARARARAR

ARARAR

ARAR

AR

AR

AR ARAR

AR

AR

AR ARAR

ARARARAR

ARARAR

AR

AR

ARAR

ARARAR

AR

AR

AR

AR AR

AR

ARAR

AR

AR

AR

AR

AR

ARAR

DE

DE

DEFL

FL

FL

FL

FL

FL

FL

FL

FL FL

FL

FL

FL

FLFL

FL

FL

FL

FL

FLFL

FL

FL

FL

FLFL

FL

FL

FL

FL

FLFL

FL FL

FL FLGAGA

GAGA

GA

GA

GA

GA

GA

GA GAGA

GAGA

GAGA

GA

GAGA

GA

GA

GA

GA

GA

GA

GA

GAGA

GAGA

GA

GA

GA

GA

GA

GA

GAGA

GA

GAGA

GAGA

GA

GA

GA

GA

GA

GA

GA

GA

GA GA

GA

GAGA

GA

GA

GA

GA

GA

GA GA

GAGA

GAGA

GAGA

GA

GA

GAGAGA

GA

GAGA

GA

GAGAGA GA

GA

GA

GA

GA

GAGA

GA

GAGA GAGA GA

GA

GA

GAGA

GAGA

GA

GAGAGA

GAGA

GA GAGA GA

GAGA

GA

GA

GA GAGAGAGA

GA

GAGA GA

GA

GA

GA

GAGAGA

KYKY

KYKY

KY

KY

KY KY

KY KY

KY

KYKY

KY

KY

KYKY

KY

KY

KYKY

KY

KY

KY

KY KYKY

KY

KYKY

KY

KYKY

KY

KY

KY KYKY

KYKY

KY

KY

KY

KY

KY

KY

KY

KY

KY

KY

KY

KY

KY

KY

KY

KY

KY

KYKY

KYKY

KY

KY

KYKY

KY

KYKY

KY

KY

KY

KYKYKY

KY

KYKY

KY

KY

KY

KY

KYKY

KY

KY

KY

KYKYKY

KY

KY

KYKYKY

KYKY

KY

KYKY

KYKY

KY

KY

KYKY

KY

KY

KY

KY

LA

LALA

LA

LALA

LA

LA LALA LA

LA

LA

LALA

LALA

LA LA

LALA

LA

LALA

LALA

LA LALA

LA

LA

LA

LALALA

LA LA

LA

LA

LALA

LALA LA

LA

LALA

MD

MDMDMD

MD

MD

MDMD

MD

MDMD

MD

MD

MD

MDMD MD

MD

MD

MD MDMD

MS

MSMS MS

MSMS

MSMS MS

MSMS

MSMS

MS

MS

MS

MS

MSMS

MS

MS

MSMS

MS

MS

MS

MS

MS

MS

MSMS

MS

MS

MS MSMSMS

MSMS

MS

MSMS

MSMS

MS

MSMSMS

MSMS

MSMS MS

MS

MS

MS

MS

MS MS MS

MO

MOMO

MO

MOMOMOMO

MO

MOMO

MO

MOMO

MOMO

MO

MO

MO

MO

MOMOMO

MO

MOMO

MOMOMOMO

MO

MO

MO

MO

MO

MO

MOMO

MO

MOMO MO

MO

MOMO

MOMO

MO

MOMOMOMO

MO

MO

MO MO

MOMO

MO

MO

MOMOMO

MO

MOMO

MOMO

MOMO

MOMOMOMO

MO

MO

MO

MOMO MOMO

MO

MO

MO

MO

MO

MOMOMO

MOMO

MO

MO

MOMO

MO

MO

MO

MOMO

MO

MOMO

MOMOMO

MO

MO

MO

MOMO

MOMO

NCNC

NC

NCNC NC NCNCNC

NC

NC

NC

NCNC

NC

NC

NCNC

NC

NCNC NC

NCNCNCNC

NC

NC NC

NC

NCNC

NCNCNC

NC

NCNCNC

NC

NCNC

NC

NC

NC

NC

NCNCNC

NCNC NC

NC

NC

NCNC NC

NCNC

NC

NCNC

NCNC

NC

NCNC

NC

NCNC

NC NCNC NCNC

NC

NC

NC

NC

NC

NCNC

NC NCNC

NC SC

SCSC

SCSC

SCSCSC SC

SC

SC

SCSC

SC

SCSCSC SC

SC

SC SC

SCSCSC

SC

SC

SCSC

SC

SCT N

T NT N

T N

T NT N

T N

T N T N

T N

T N

T NT N

T NT N

T N

T NT N

T NT N T N

T NT N

T N T N

T N

T N

T N

T N

T N

T N

T NT N T N

T N T N

T NT N

T NT N

T N

T N

T N

T N

T N

T NT NT N

T N

T N

T NT N T N

T NT N

T N

T N

T N

T NT N

T N

T N

T N

T NT N T N

T NT N

T N

T N

T N

T N

T N T N

T N

T NT N

T NT N

T N

T NT N

T N

T N

T X

T X

T X

T XT XT X

T X

T XT XT X

T XT X

T X

T XT XT X

T XT X

T X

T X

T XT X

T XT X

T X

T X

T X

T X

T X

T X

T X

T X

T XT X

T X

T X

T X

T XT X

T X

T X

T X

T X

T XT X

T X

T XT X

T X

T XT X T X

T X

T XT X

T X

T X

T XT X

T XT X

T X

T XT X

T XT X

T X

T XT X

T X

T X

T X

T XT X

T XT X

T X

T XT X

T X

T XT X

T X

T X

T XT XT X

T X

T XT X

T X

T XT XT X T X

T X T X

T X

T X

T X

T X

T XT X

T XT XT X

T XT X

T X

T X

T X

T X

T XT X

T X

T XT X

T XT X

T X

T X

T X

T X

T X

T X

T X

T X

T X

T X

T XT X

VAVA

VAVA

VA

VAVA

VA

VA

VA

VAVA

VA

VA VA

VA

VA

VA

VA

VA

VA

VAVAVA

VA

VA

VAVA VA

VAVA

VA

VA

VA

VA

VA

VA

VA

VA

VA

VA

VA

VA

VA

VA

VA

VA

VAVA

VA

VA

VAVA

VA

VA

VA

VA

VAVAVA

VAVA

VA

VA VAVA

VA

VAVA

Y=9.9401+0.0358 (1.22) X9

9.5

1010

.511

0 .2 .4 .6 .8 1slave_1860

lnincome_00 Fitted values

Figure: Income pc vs Slavery: Slave States

Graziella Bertocchi and Arcangelo Dimico University of Modena

Page 10: Slavery, Education, Inequality in the United States of America Bertochi and Dimico 2010

Outline

Slavery and Development

Slavery and Development

*** p<0.01, ** p<0.05, * p<0.1. Robust t statistics in parentheses.

Figure: Slavery and Development

Graziella Bertocchi and Arcangelo Dimico University of Modena

Dependent Variable: Per Capita Income 2000Estimation Method: OLS Model 1 Model 2 Model 3 Model 4 Model 5 Slaves/Population 1860 -0.239*** -0.0249 -0.0496 -0.0211 -0.0287

(-10.99) (-0.79) (-1.51) (-0.67) (-0.85)Population Density 1860 0.0444*** 0.0386*** 0.0387*** 0.297 0.263

(7.26) (9.38) (9.23) (1.59) (1.61)North East Dummy 0.0986*** 0.120***

(5.63) (6.91)South Atlantic Dummy 0.107*** 0.111*** 0.103*** 0.107***

(7.57) (7.79) (7.40) (7.55)Slave States Dummy -0.174***

(-13.61)South Dummy -0.148***

(-10.51)Constant 10.06*** 10.09*** 10.08*** 9.911*** 9.911***

(1652.16) (1464.88) (1569.84) (886.96) (753.30)Observations 1960 1960 1960 1026 913R-squared 0.08 0.21 0.18 0.08 0.08Sample All Counties All Counties All Counties Slave States South States*** p<0.01, ** p<0.05, * p<0.1. Robust t statistics in parentheses.

Page 11: Slavery, Education, Inequality in the United States of America Bertochi and Dimico 2010

Outline

Slavery and Inequality

Slavery and Income Inequality

Income Inequality: Gini Index for the distribution of Income (2000)across classes of income (Census 2000);

(17.64)South Dummy 0.0353***

(17.34)Constant 0.387*** 0.390*** 0.420***

(408.95) (421.43) (251.81)

Observations 1983 1983 1050R-squared 0.30 0.30 0.11Sample All Counties All Counties Slave States*** p<0.01, ** p<0.05, * p<0.1.Robust t statistics in parentheses.

Figure: Slavery vs Economic Inequality

Graziella Bertocchi and Arcangelo Dimico University of Modena

Dependent Variable: Income InequalityEstimation Method: OLS Model 1 Model 2 Model 3 Slaves/Population 1860 0.0374*** 0.0331*** 0.0375***

(7.42) (6.39) (7.46)Population Density 1860 0.00304*** 0.00302*** 0.0117

(4.28) (4.36) (0.86)North East Dummy 0.0108*** 0.00817***

(6.26) (4.78)South Atlantic Dummy -0.0212*** -0.0240*** -0.0214***

(-9.58) (-10.73) (-9.60)Slave States Dummy 0.0336***

(17.64)South Dummy 0.0353***

(17.34)Constant 0.387*** 0.390*** 0.420***

(408.95) (421.43) (251.81)

Observations 1983 1983 1050R-squared 0.30 0.30 0.11Sample All Counties All Counties Slave States*** p<0.01, ** p<0.05, * p<0.1. Robust t statistics in parentheses

.

Page 12: Slavery, Education, Inequality in the United States of America Bertochi and Dimico 2010

Outline

Slavery and Inequality

Slavery and Racial Inequality

R-squared 0.40 0.40 0.40Sample All Counties All Counties Slave States*** p<0.01, ** p<0.05, * p<0.1.Robust t statistics in parentheses.

Figure: Slavery vs Racial Inequality

Graziella Bertocchi and Arcangelo Dimico University of Modena

Racial Inequality: Gini Index for the distribution of Income (2000)across races (Census 2000).

Dependent Variable: Racial InequalityEstimation Method: OLS Model 1 Model 2 Model 3 Slaves/Population 1860 0.178*** 0.162*** 0.179***

(26.33) (22.15) (26.70)Population Density 1860 0.0102*** 0.0102*** 0.0532***

(5.83) (5.84) (2.83)North East Dummy 0.00133 0.00482

(0.43) (1.59)South Atlantic Dummy -0.00537* -0.00842*** -0.00597*

(-1.75) (-2.63) (-1.95)Slave States Dummy -0.00640**

(-2.13)South Dummy 0.00596*

(1.73)Constant 0.0354*** 0.0320*** 0.0279***

(23.29) (23.16) (10.84)

Observations 1983 1983 1050R-squared 0.40 0.40 0.40Sample All Counties All Counties Slave States*** p<0.01, ** p<0.05, * p<0.1.Robust t statistics in parentheses.

Page 13: Slavery, Education, Inequality in the United States of America Bertochi and Dimico 2010

Outline

Slavery and Inequality

Effect of Slavery Through Racial Inequality

Sample All Counties All Counties*** p<0.01, ** p<0.05, * p<0.1.Robust t statistics in parentheses.

Figure: Effect of Slavery Through Racial Inequality

Graziella Bertocchi and Arcangelo Dimico University of Modena

Model 1 Model 2Estimation Method: OLS Racial Inequality Income Inequality Slaves/Population 1860 0.156*** -0.00732

(25.03) (-1.38)Population Density 1860 0.00842*** 0.000464

(6.26) (1.44)North East Dummy -0.00510* 0.0104***

(-1.68) (6.18)South Atlantic Dummy 0.00733*** -0.0199***

(2.61) (-9.99)Slave States Dummy -0.0264*** 0.0352***

(-8.47) (19.17)Income Inequality 0.597***

(16.35)Racial Inequality 0.251***

(17.28)Constant -0.196*** 0.378***

(-14.20) (378.49)Observations 1983 1983R-squared 0.49 0.41Sample All Counties All Counties*** p<0.01, ** p<0.05, * p<0.1.Robust t statistics in parentheses.

Page 14: Slavery, Education, Inequality in the United States of America Bertochi and Dimico 2010

Outline

From Slavery to Racial Inequality. Why?

Descriptive Statistics

Land Inequality Theory: Distribution of farms’ size (in acres)in 1860;Racial Discrimination Theory: Measured using a Mincerianequation to predict Returns on Education per Race;Human Capital Transmission Theory: Distribution ofeducation for the population 25 and above across races.

Land Inequality 1037 0.479 0.079 0 0.803Ratio (Returns Blacks/ Returns Whites) 1358 0.457 0.176 0.071 2.531Racial Educational Inequality 1405 0.033 0.027 0.0006 0.202

Figure: Descriptive Statistics

Graziella Bertocchi and Arcangelo Dimico University of Modena

All CountiesVariable Obs Mean Std. Dev. Min Max

Land Inequality 1878 0.461 0.080 0 0.803Ratio (Returns Blacks/ Returns Whites) 2798 0.511 0.224 0.028 2.531Racial Educational Inequality 3140 0.023 0.026 0 0.202

Slave States OnlyVariable Obs Mean Std. Dev. Min Max

Land Inequality 1037 0.479 0.079 0 0.803Ratio (Returns Blacks/ Returns Whites) 1358 0.457 0.176 0.071 2.531Racial Educational Inequality 1405 0.033 0.027 0.0006 0.202

Page 15: Slavery, Education, Inequality in the United States of America Bertochi and Dimico 2010

Outline

From Slavery to Racial Inequality. Why?

Comparison Among Theories

(84.18) (198.18) (399.95)Observations 1878 1894 1983R-squared 0.32 0.31 0.41*** p<0.01, ** p<0.05, * p<0.1.Robust t statistics in parentheses except for Model 2 in which we bootstrap standard errors because of the predicted variable.

Figure: Comparison Among Theories

Graziella Bertocchi and Arcangelo Dimico University of Modena

Dependent Variable: Income InequalityEstimation Method: OLS Model 1 Model 2 Model 3

Slaves/Population 1860 0.0381*** 0.0366*** 0.000551(7.33) (7.10) (0.10)

Population Density 1860 0.00284*** 0.00295 0.000808**(4.51) (0.41) (2.15)

North East Dummy 0.0108*** 0.0104*** 0.0102***(6.16) (5.55) (6.00)

South Atlantic Dummy -0.0194*** -0.0214*** -0.0231***(-8.71) (-9.65) (-11.37)

Slave States Dummy 0.0310*** 0.0325*** 0.0349***(15.25) (15.65) (19.26)

Land Inequality 1860 0.0456***(4.64)

Returns Blacks/Returns Whites -0.0117***(-3.55)

Racial Educational Inequality 0.569***(17.16)

Constant 0.366*** 0.393*** 0.380***(84.18) (198.18) (399.95)

Observations 1878 1894 1983R-squared 0.32 0.31 0.41*** p<0.01, ** p<0.05, * p<0.1.Robust t statistics in parentheses except for Model 2 in which we bootstrap standard errors because of the predicted variable.

Page 16: Slavery, Education, Inequality in the United States of America Bertochi and Dimico 2010

Outline

From Slavery to Racial Inequality. Why?

2SLS Estimates

(94.49) (-3.03)

Cragg Donald Statistics 532.982 532.982Stok and Yogo Critical Values (16.23) (16.23)Endogeneity (p-values) 0.8101 0.0000Anderson LR Statistic (p-values) 0.0000 0.0000Instruments Slaves/Population 1860 Slaves/Population 1860Observations 1831 1831*** p<0.01, ** p<0.05, * p<0.1. Significance Levels

Figure: 2SLS Estimates

Graziella Bertocchi and Arcangelo Dimico University of Modena

Second Stage Regressions Model 1 Model 2Estimation Method: 2SLS Income Inequality Racial Inequality

Racial Educational Inequality 0.590*** 2.746***(7.42) (26.75)

Population Density 1860 0.000608 -0.000493(1.47) (-1.26)

North East Dummy 0.0101*** -0.00260*(5.75) (-1.82)

South Atlantic Dummy -0.0220*** -0.0137***(-10.10) (-5.51)

Slave States Dummy 0.0331*** 0.000086(18.70) (0.01)

Land Inequality 1860 0.0299*** 0.0320**(3.41) (1.98)

Returns Blacks/Returns Whites 0.00146 0.0253***(0.42) (5.78)

Constant 0.366*** -0.0227***(94.49) (-3.03)

Cragg Donald Statistics 532.982 532.982Stok and Yogo Critical Values (16.23) (16.23)Endogeneity (p-values) 0.8101 0.0000Anderson LR Statistic (p-values) 0.0000 0.0000Instruments Slaves/Population 1860 Slaves/Population 1860Observations 1831 1831*** p<0.01, ** p<0.05, * p<0.1. Significance Levels

Page 17: Slavery, Education, Inequality in the United States of America Bertochi and Dimico 2010

Outline

Convergence and Divergence in Education

Convergence in Education

Ratio of Whites with either a high school diploma or abachelor degree to Blacks over the period 1940-2000;

AK AKAK AK

AL

AL

AL AL AL AL AL

AR

ARAR AR AR AR AR

AZ

AZ AZ AZCA

CA CA CACO CO CO CO

CT CT CT CTCT CT CT

DCDC DC

DC DC DC DCDE DE DE

DEDE DE DE

FL

FL

FL FLFL FL FL

GA

GA

GA GAGA GA GAHI HI HI HI

IAIA

IAIA

IA IA IA

ID

ID ID ID

IL IL ILIL

IL IL ILIN IN IN IN IN IN INKSKS

KSKS

KS KS KSKY KY KY KYKY KY KY

LA

LA

LALA LA LA LAMA MA

MAMA

MA MA MA

MDMD

MD MDMD MD MDME ME ME ME

MI MI MI MIMI MI MI

MN MN MN MNMO MO MO MO MO MO MO

MS

MS

MS

MSMS MS MS

MT MT MT MT

NCNC NC NC NC NC NC

ND NDND ND

NE NE NENE

NE NE NE

NH NH NH NH

NJ NJNJ NJ

NJ NJ NJNM NM NM NM

NV

NV NV NV

NY NY NYNY

NY NY NYOH OH OH OH

OH OH OHOKOK OK OKOR OR OR OR

P AP A

P A PAPA P A P A

RIRI

RIRI

RI RI RI

SC

SC

SC SC SC SC SC

SD SD SD SD

T NT N T N T N T N T N T N

T X T X T X T XT X T X T XUT UT UT UT

VAVA VA VA

VA VA VA

VT VT VT VT

WAWA W A W A

W I

W IWI

WIWI W I W I

W V W V WV WV WV W V W V

WY

WY W YW Y

05

1015

1940 1960 1980 2000year

gap_bach Fitted values

AKAKAKAK

AL

AL

ALALALALAL

AR

ARARARARARAR

AZAZAZAZ

CACACACACOCOCOCO

CTCTCTCTCTCTCT

DCDCDC

DCDCDCDCDEDEDEDEDEDEDE

FL

FL

FLFLFLFLFL

GA

GA

GAGAGAGAGAHIHIHIHI

IAIAIAIAIAIAIA

ID

IDIDID

ILILILILILILILINININININININKS

KSKSKSKSKSKSKYKYKYKY

KYKYKY

LA

LA

LALALALALAMAMA

MAMAMAMAMA

MDMDMDMDMDMDMDMEMEMEME

MIMIMIMIMIMIMI

MNMNMNMNMOMOMOMOMOMOMO

MS

MS

MSMSMSMS

MTMTMTMT

NCNCNCNCNCNCNC

NDNDNDND

NENENENENENENE

NHNHNHNH

NJNJNJNJNJNJNJNMNMNMNM

NV

NVNVNV

NYNYNYNYNYNYNYOHOHOHOHOHOHOHOK

OKOKOKOROROROR

P AP AP AP AP AP AP A

RIRI

RIRIRIRIRI

SC

SC

SCSCSCSCSC

SDSDSDSD

T NT NT NT NT NT NT N

T XT XT XT XT XT XT XUTUTUTUT

VAVAVAVAVAVAVA

VTVTVTVT

W AW AW AW A

W I

W IW IW IW IW IW I

W VW VW VW VW VW VW V

W Y

W YW YW Y

05

1015

0 5 10 15gap_bach_40

gap_bach Fitted values

AKAKAKAK

AL

AL

ALAL

ALALAL

AR

AR

AR

AR

ARARARAZAZAZAZCACACACACOCOCOCO

CTCTCTCTCTCTCT

DCDCDCDCDCDCDC

DEDEDEDEDEDEDE

FL

FL

FL

FL

FLFLFL

GA

GA

GA

GA

GAGAGAHIHIHIHI

IAIAIAIAIAIAIAIDIDIDIDILILILILILILIL

INININININININKSKSKSKSKSKSKS

KYKYKYKYKYKYKY

LA

LA

LA

LA

LALALAM AM AM AM AM AM AM A

MD

MDMDMDMDMDMDM EM EM EM E

M IM IM IM IM IM IM IMNMNMNMN

M OM OM OM OM OM OM O

MS

MS

MS

MS

MSMSMS

MTMTMTMT

NC

NCNCNCNCNCNC

NDNDNDND

NENENENENENENENHNHNHNH

NJNJNJNJNJNJNJNMNMNMNM

NVNVNVNV

NYNYNYNYNYNYNY

OHOHOHOHOHOHOH

OKOKOKOKOROROROR

P AP AP AP AP AP AP A

RIRIRIRIRIRIRI

SC

SC

SC

SC

SCSCSCSDSDSDSD

T NT NT NT NT NT NT N

T XT X

T XT XT XT XT X

UTUTUTUT

VAVA

VA

VAVAVAVAVTVTVTVTW AW AW AW A

W IW IW IW IW IW IW I

W VW VW VW VW VW VW VW YW YW YW Y

02

46

810

0 2 4 6 8 10gap_high_40

gap_high Fitted values

AK AK AK AK

AL

AL

ALAL

AL AL AL

AR

AR

AR

AR

AR AR ARAZ

AZ AZ AZCA CA CA CACO CO CO CO

CT CT CT CT CT CT CT

DC

DCDC DC DC DC DC

DEDE

DEDE

DE DE DE

FL

FL

FL

FL

FL FL FL

GA

GA

GA

GA

GA GA GAHI HI HI HI

IA IA IA IA IA IA IAID ID ID ID

IL IL IL IL IL IL IL

IN IN IN IN IN IN INKS KS KS KS KS KS KS

KY KY KY KY KY KY KY

LA

LA

LA

LA

LA LA LAMA MA MA MA MA MA MA

MD

MDMD

MDMD MD MDME ME ME ME

MI MI MI MI MI MI MIMN MN MN MN

MO MO MO MO MO MO MO

MS

MS

MS

MS

MSMS MS

MT MT MT MT

NC

NCNC

NCNC NC NC

ND ND ND ND

NE NE NE NE NE NE NENH NH NH NH

NJNJ

NJ NJ NJ NJ NJNM NM NM NM

NVNV NV NV

NY NY NY NY NY NY NY

OHOH OH OH

OH OH OHOK

OK OK OKOR OR OR OR

PAP A

PA P A P A P A P A

RIRI RI RI RI RI RI

SC

SC

SC

SC

SC SC SCSD SD SD SD

T NT N

T NT N

T N T N T N

T XT X

T XT X

T X T X T XUT

UT UT UT

VAVA

VA

VA VA VA VAVT VT VT VTW A W A W A W A

W IW I

W I W IW I W I W I

W V W V W V W V W V W V W VW Y

W Y W Y W Y

02

46

810

1940 1960 1980 2000year

gap_high Fitted values

Figure: Convergence in Education

Graziella Bertocchi and Arcangelo Dimico University of Modena

AKAKAKAK

AL

AL

ALALALALAL

AR

ARARARARARAR

AZAZAZAZ

CACACACACOCOCOCO

CTCTCTCTCTCTCT

DCDCDC

DCDCDCDCDEDEDEDEDEDEDE

FL

FL

FLFLFLFLFL

GA

GA

GAGAGAGAGAHIHIHIHI

IAIAIAIAIAIAIA

ID

IDIDID

ILILILILILILILINININININININKS

KSKSKSKSKSKSKYKYKYKY

KYKYKY

LA

LA

LALALALALAMAMA

MAMAMAMAMA

MDMDMDMDMDMDMDMEMEMEME

MIMIMIMIMIMIMI

MNMNMNMNMOMOMOMOMOMOMO

MS

MS

MS

MSMSMSMS

MTMTMTMT

NCNCNCNCNCNCNC

NDNDNDND

NENENENENENENE

NHNHNHNH

NJNJNJNJNJNJNJNMNMNMNM

NV

NVNVNV

NYNYNYNYNYNYNYOHOHOHOHOHOHOHOK

OKOKOKOROROROR

P AP AP AP AP AP AP A

RIRI

RIRIRIRIRI

SC

SC

SCSCSCSCSC

SDSDSDSD

T NT NT NT NT NT NT N

T XT XT XT XT XT XT XUTUTUTUT

VAVAVAVAVAVAVA

VTVTVTVT

W AW AW AW A

W I

W IW IW IW IW IW I

W VW VW VW VW VW VW V

W Y

W YW YW Y

05

1015

0 5 10 15gap_bach_40

gap_bach Fitted values

AKAKAKAK

AL

AL

ALAL

ALALAL

AR

AR

AR

AR

ARARARAZAZAZAZCACACACACOCOCOCO

CTCTCTCTCTCTCT

DCDCDCDCDCDCDC

DEDEDEDEDEDEDE

FL

FL

FL

FL

FLFLFL

GA

GA

GA

GA

GAGAGAHIHIHIHI

IAIAIAIAIAIAIAIDIDIDIDILILILILILILIL

INININININININKSKSKSKSKSKSKS

KYKYKYKYKYKYKY

LA

LA

LA

LA

LALALAM AM AM AM AM AM AM A

MD

MDMDMDMDMDMDM EM EM EM E

M IM IM IM IM IM IM IMNMNMNMN

M OM OM OM OM OM OM O

MS

MS

MS

MS

MSMSMS

MTMTMTMT

NC

NCNCNCNCNCNC

NDNDNDND

NENENENENENENENHNHNHNH

NJNJNJNJNJNJNJNMNMNMNM

NVNVNVNV

NYNYNYNYNYNYNY

OHOHOHOHOHOHOH

OKOKOKOKOROROROR

P AP AP AP AP AP AP A

RIRIRIRIRIRIRI

SC

SC

SC

SC

SCSCSCSDSDSDSD

T NT NT NT NT NT NT N

T XT X

T XT XT XT XT X

UTUTUTUT

VAVA

VA

VAVAVAVAVTVTVTVTW AW AW AW A

W IW IW IW IW IW IW I

W VW VW VW VW VW VW VW YW YW YW Y

02

46

810

0 2 4 6 8 10gap_high_40

gap_high Fitted values

Page 18: Slavery, Education, Inequality in the United States of America Bertochi and Dimico 2010

Outline

Convergence and Divergence in Education

Determinants of the Educational Gap

(6.93) (5.03) (8.02) (4.95)Time Dummies Yes Yes Yes YesObservations 297 297 297 297R-squared 0.55 0.44 0.68 0.53*** p<0.01, ** p<0.05, * p<0.1.Robust t statistics in parentheses.

Figure: Convergence in Education

Graziella Bertocchi and Arcangelo Dimico University of Modena

Estimation Method: Pooled OLS Model 1 Model 2 Model 3 Model 4 Gap High-Schl. Gap Bach. Dgr Gap High-Schl. Gap Bach. Dgr

High-School Diploma in 1940 – Whites 0.0199***(3.46)

High-School Diploma in 1940 – Blacks -0.00917***(-4.98)

Bachelor Degree in 1940– Whites 0.163***(5.62)

Bachelor Degree in 1940– Blacks -0.0897***(-6.46)

Population -0.136*** -0.0922** -0.136*** -0.0729(-3.61) (-2.03) (-4.05) (-1.38)

Slave States Dummy 0.872*** 0.541*** -0.0641 -0.280(5.95) (3.28) (-0.51) (-1.61)

Educational Gap in 1940 (High-School) 0.300***(5.37)

Educational Gap in 1940 (Bachelor Degree) 0.279***(3.60)

Constant 4.774*** 4.529*** 4.545*** 4.154***(6.93) (5.03) (8.02) (4.95)

Time Dummies Yes Yes Yes YesObservations 297 297 297 297R-squared 0.55 0.44 0.68 0.53*** p<0.01, ** p<0.05, * p<0.1.Robust t statistics in parentheses.

Page 19: Slavery, Education, Inequality in the United States of America Bertochi and Dimico 2010

Outline

Convergence and Divergence in Education

Determinants of the Educational Gap

(-0.53) (-2.19)Constant 3.280*** 2.753*** 7.334*** -7.726***

(5.04) (3.09) (2.98) (-3.48)Time Dummies Yes Yes Yes YesObservations 238 238 183 183R-squared 0.76 0.62 0.76 0.68*** p<0.01, ** p<0.05, * p<0.1.Robust t statistics in parentheses.

Figure: Convergence in Education

Graziella Bertocchi and Arcangelo Dimico University of Modena

Estimation Method: Pooled OLS Model 1 Model 2 Model 3 Model 4 Gap High-Schl Gap Bach. Dgr Gap High-Schl Gap Bach. Dgr

Educational Gap in 1940 (High-School) 0.221*** 0.143***(2.68) (4.49)

Educational Gap in 1940 (Bachelor Degree) 0.180** 0.0356(2.00) (1.51)

Population -0.0947** -0.00761 -0.00604 0.00821(-2.52) (-0.15) (-0.30) (0.24)

Slave States Dummy -0.253 -0.597** -0.173* -0.104(-1.57) (-2.56) (-1.90) (-1.11)

Black Population Share 0.0336* 0.0481*** 0.00705** 0.0376***(1.85) (4.39) (2.48) (10.27)

Number of Farms 0.0104*** 0.00514(2.84) (0.82)

Number of Manufacturer Establish. -0.0209*** 0.000575(-2.61) (0.04)

Median Family Income -0.640** 1.153***(-2.41) (4.47)

Eudcational Expenditure/Direct General Exp. -0.00178 -0.00946**(-0.53) (-2.19)

Constant 3.280*** 2.753*** 7.334*** -7.726***(5.04) (3.09) (2.98) (-3.48)

Time Dummies Yes Yes Yes YesObservations 238 238 183 183R-squared 0.76 0.62 0.76 0.68*** p<0.01, ** p<0.05, * p<0.1.Robust t statistics in parentheses.

Page 20: Slavery, Education, Inequality in the United States of America Bertochi and Dimico 2010

Outline

Conclusions

The institution of slavery still plays a major role in the USeconomy and society;

However, contrary to what suggested in related studies, thelegacy of slavery is not so much on the level of development,but instead on the degree of inequality;

The current level of per capita income inequality is explainedby racial inequality, and that slavery exerts its influence on thelatter through its impact on human capital accumulation;

There is an association among factor endowments, institutionsand inequality as argued by Engermann and Sokoloff;

But the final link between these variables and economicdevelopment is missing in our findings.

Graziella Bertocchi and Arcangelo Dimico University of Modena

Page 21: Slavery, Education, Inequality in the United States of America Bertochi and Dimico 2010

Outline

Conclusions

Returns on Education

Median Age 0.0109*** 0.0267***(6.13) (11.03)

North Atlantic Dummy -0.0166 0.0236(-0.52) (0.48)

South Atlantic Dummy 0.0411 0.0277(1.55) (0.59)

South Central Dummy 0.0389 -0.0718**(1.36) (-2.61)

Constant 6.682*** 7.001***(24.26) (51.19)

Sample All Counties All CountiesObservations 3029 2798R-squared 0.76 0.27*** p<0.01, ** p<0.05, * p<0.1 Robust t statistics in parentheses

Figure: Returns on Education

Graziella Bertocchi and Arcangelo Dimico University of Modena

Model 1 Model 2Dependent Variable: Income (2000) Whites Only Income (2000) Blacks OnlyEstimation Method: OLS High-School Diploma 0.684*** 0.532***

(4.85) (3.63)Some Years of College (no Bachelor) 0.594*** 0.789***

(2.95) (6.24)Bachelor Degree 1.648*** 0.259***

(11.52) (2.81)Post-Graduate Education (Master or PhD) 1.889*** 1.409***

(8.54) (7.54)Employment Rate 1.599*** 0.368**

(5.61) (2.68)Whites in Labour Force 0.0330*** 0.0778***

(6.31) (6.78)Blacks in Labour Force 0.0134*** 0.0110

(4.41) (1.49)Median Age 0.0109*** 0.0267***

(6.13) (11.03)North East Dummy -0.0166 0.0236

(-0.52) (0.48)South Atlantic Dummy 0.0411 0.0277

(1.55) (0.59)South Central Dummy 0.0389 -0.0718**

(1.36) (-2.61)Constant 6.682*** 7.001***

(24.26) (51.19)Sample All Counties All CountiesObservations 3029 2798R-squared 0.76 0.27*** p<0.01, ** p<0.05, * p<0.1. Robust t statistics in parentheses.