Determinants of Firm Start-Up Size

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    Determinants of Firm Start-up Size: An Application of Quantile Regression for IrelandAuthor(s): Holger Grg, Eric Strobl and Frances RuaneSource: Small Business Economics, Vol. 14, No. 3 (May, 2000), pp. 211-222Published by: SpringerStable URL: http://www.jstor.org/stable/40229076.

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  • 8/10/2019 Determinants of Firm Start-Up Size

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    Determinantsf

    Firm

    tart-Up

    Size:

    An

    Application

    f

    Quantile

    egression

    or reland

    Holger

    Gorg

    Eric

    Strobl

    Frances

    Ruane

    ABSTRACT.

    In

    this

    paper

    we

    provide empirical

    evidence

    on

    the determinants f

    firm

    tart-up

    ize

    using

    data

    for the

    manufacturing

    ector

    n

    Ireland,

    nd

    compare

    ur resultswith

    recent

    indings

    or

    Portuguese

    manufacturing

    ndustries

    Mata

    and

    Machado,

    1996).

    To allow

    for

    irm

    eterogeneity

    etween

    firm ntrants

    we use

    quantile

    regression

    echniques

    for our

    empirical

    stimation.

    We find hat

    he determinantsf

    start-

    up

    size differ

    n their

    mportance

    or small

    and

    large-scale

    entrants.

    n

    particular,

    ndustry

    ize and

    ndustry rowth

    eem

    to affectarge-scale ntrantsnly.

    1. Introduction

    The

    entry

    fnew

    firms

    ntomarketsas

    attracted

    considerable

    nterest

    n the heoretical

    nd

    empir-

    ical literature

    n industrial

    conomics.

    ot east

    since

    chumpeter's

    1934)

    work ave

    conomists

    recognised

    he

    mportance

    f

    new firms

    or he

    constant

    volution

    nd

    renewal f

    ndustries.

    n

    recent

    ears,

    large

    body

    f

    empirical

    iterature

    has

    appeared,

    nalysing

    ainly

    he

    determinants

    of

    entry

    Acs

    and

    Audretsch,

    989a, 1989b;

    Audretschnd

    Acs, 1994;

    Cable and

    Schwalbach,

    1991; Mata,

    1993;

    Wagner,

    1994a)

    and the

    subsequent erformance

    nd life

    duration

    f

    new entrants

    Audretsch,

    991;

    Audretschnd

    Mahmood, 995;

    Boeri

    nd

    Bellmann, 995;

    Mata

    and

    Portugal,

    994;

    Wagner,

    992,

    1994b;Weiss,

    1998).1

    n ssue hat

    asreceivedmuch

    essatten-

    tion s thestart-upize of firms,venthough

    studies f the ifedurationf firms

    cknowledge

    that he ize offirmst

    entry

    s an

    mportant

    eter-

    minantf

    a

    firm's

    robability

    f

    survival.

    Therehas beenone recent

    xception,

    amely,

    the

    study y

    Mata and

    Machado

    1996)

    which

    examines

    hedeterminantsf firm

    tart-up

    ize

    using empirical

    ata for

    Portugal.

    heir data

    source

    s an annual

    survey

    onducted

    y

    the

    Portuguese

    inistry

    f

    Employment

    hich overs

    all

    manufacturing

    irms

    mploying

    or more

    employees.

    he

    sample

    used consists f

    1,079

    manufacturingirmsorwhich atawere vailable

    for

    1984.

    Mata and Machado use

    regression

    quantile

    RQ)

    estimation

    echniques

    o

    nalyse

    he

    determinants

    ffirm

    tart-up

    ize.

    They

    rgue

    nd

    provide

    evidence

    that the

    RQ

    estimator an

    provide

    more ccurate

    nformationn thedeter-

    minants

    f

    start-up

    ize

    than he

    ommonly

    sed

    OLS

    regression

    odels,

    which

    nly

    stimates

    single

    measure f

    the entral

    endency

    fthe

    ize

    distribution.

    In

    this

    aper

    we extend

    he

    pproach eveloped

    by

    Mata ndMachado

    1996)

    to obtain

    dditional

    empiricalvidence nfirmtart-upizeusing ata

    for he

    manufacturing

    ector

    n

    Ireland,

    nother

    small

    pen

    conomy

    t the

    periphery

    f theEU.2

    Our

    paper

    dditionally

    erves

    s an extensionf

    previous

    ork

    Gorg

    nd

    Strobl,

    999)

    where

    we

    analyse

    he

    determinantsf firm

    ntry

    nto rish

    Final version

    ccepted

    on

    February

    ,

    2000

    Holger

    Gorg

    School

    of

    Public

    Policy,

    Economics

    & Law

    University

    f

    Ulster

    t Jordanstown

    Newtownabbey

    T37

    OQB

    Northern

    reland

    Eric Strobl

    Department

    f

    Economics

    University

    f

    the

    West

    ndies

    St.

    Augustine

    Republic

    of

    Trinidad

    nd

    Tobago

    and

    Frances

    Ruane

    Department

    f

    Economics

    Trinity ollege

    Dublin

    2

    Republic

    of

    reland

    M|

    Small

    Business

    Economics

    14:

    21

    1-222,

    2000.

    rT

    2000 Kluwer

    Academic

    Publishers.

    Printed

    n the Netherlands.

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  • 8/10/2019 Determinants of Firm Start-Up Size

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    212

    HolgerGorg

    t al.

    manufacturing

    ndustries

    here

    ntry

    s defined

    n

    termsf

    firm

    umbers

    nly.

    erewe also take nto

    consideration

    he

    ize of

    new

    entrants

    hich,

    s

    pointed

    ut

    bove,

    s

    recognised

    o have

    mplica-

    tions or irmerformancendfirmurvival.

    The

    paper

    s

    structured

    s follows. ection

    discusses

    hedeterminantsf firm

    tart-up

    ize.

    Section

    presents

    he conometric

    ethodology

    used to estimate he

    mpirical

    model,

    iscussing

    the

    dvantages

    f

    RQ

    estimation,

    hile ection

    introduceshe data for he rish

    manufacturing

    sector. ection

    presents

    he conometric

    esults

    and

    compares

    he

    findings

    or

    reland

    with hose

    obtained

    y

    Mata and Machado

    1996)

    for he

    Portuguese anufacturing

    ector.

    inally,

    ection

    6 summarisesur esults nd

    presentsoncluding

    comments.

    2.

    Determinants

    f firm

    tart-up

    ize

    The

    determinantsf a firm's

    tart-up

    ize have

    beendiscussed

    xtensivelyy

    Mata ndMachado

    (1996),

    who

    suggest

    number f

    ndustry

    har-

    acteristicshat

    may

    mpact pon

    firm's hoice

    of nitial

    ize.

    Following

    heir

    nalysis,

    e

    postu-

    late the

    following mpirical

    model

    of the rela-

    tionship

    etween he

    start-up

    ize of firm

    /,

    Sin

    measuredn

    terms f

    employment

    ize,

    and

    severalndustryharacteristics:3

    Sit

    =

    p0

    +

    ^MES,

    +

    feUBj,

    +

    VJNDJt

    flJURj, $5GROjt

    (36A

    +

    et,

    (1)

    where

    MESjt

    represents

    he minimum

    fficient

    scale n

    ndustry

    attime

    ,

    UBjt

    s the

    ercentage

    of

    employment

    mployed

    n

    firms ith ess than

    MES

    (i.e.,

    operating

    t

    suboptimal

    cale),

    NDjt

    s

    the

    og

    of the

    ndustry

    ize,

    TURjt

    enotes urbu-

    lence n

    ndustry

    and

    GROjt

    enotes he

    growth

    rate f

    ndustry

    . Dt

    s a time

    ummy

    o

    control

    for

    ime-specific

    ffects,

    uchas

    changes

    n

    the

    macroeconomicnvironmentver ime,ndejt s

    the

    emaining

    hite oise

    rror erm.

    MESjt

    is

    measured

    s the

    log

    of

    average

    employment

    ize.4As

    Mata nd

    Machado

    uggest,

    it

    seems

    reasonable

    o

    assume

    that,

    he

    higher

    MES in

    an

    ndustry,

    he

    arger,

    n

    average,

    ill

    be

    new

    tart-ups

    n

    order o

    be able

    to

    compete

    ffec-

    tively

    n

    the

    market.

    We

    would,

    herefore,

    xpect

    a

    positive

    elationship

    etween

    he ize

    of

    ntrants

    and

    the

    MES.

    SUBjt

    s

    a measure

    f

    he

    roportion

    f

    mploy-

    ment

    n firms

    perating

    t ess

    than

    minimum

    ffi-

    cient

    cale, .e.,

    at

    suboptimal

    cale.

    As

    such,

    t

    provides

    n

    indirect

    measure f

    thecost

    disad-

    vantage uchfirms aveto face n the ndustry.

    All other

    hings qual,

    the

    arger

    he

    proportion

    of

    firms

    perating

    t

    suboptimal

    cale,

    he ower

    seems

    o be the

    ost

    disadvantage

    o such

    firms

    and,

    hence,

    he ower

    may

    be

    the

    tart-up

    ize a

    new

    ntrant

    illchoose.

    The size of the

    ndustry,

    NDjt

    s

    measured

    s

    the

    og

    of total

    mployment

    n the

    ndustry.

    he

    rationale

    or

    ncluding

    hisvariable s

    that,

    he

    larger

    he

    ndustry

    for

    given

    MES),

    the

    arger

    will

    be

    the ize of

    new

    ntrants,

    s the

    robability

    of

    retaliation

    rom

    ncumbents

    s

    ikely

    obe

    ower

    in a large hann a smallmarket. lso,a large

    marketllows

    he ntrant

    o

    set

    relativelyarger

    scale of

    output

    han

    n a small

    market,

    epre-

    senting higher

    market

    otential

    o

    the ntrant.

    TURjt

    s measured

    s the

    product

    f

    employ-

    ment hares

    n firms hat

    nter r

    exist

    ndustry

    j.5

    Turbulence

    rovides

    us

    with an

    indirect

    measure f

    sunk

    osts,

    s

    a

    high

    ate

    f

    simulta-

    neous

    ntry

    nd exit

    n an

    industry

    an be

    taken

    as evidence

    f low

    sunkcosts.

    Assuming

    hat

    entrantsrerisk

    verse,

    ne

    may xpect

    hat,

    he

    lower re

    sunk

    osts,

    he

    higher

    ill

    be

    the tart-

    up size of new entrantss the osses associated

    with

    possible

    ailure

    re ower.

    The

    growth

    ate

    f the

    ndustry,

    ROjt

    s

    cal-

    culated s the

    difference,

    n

    natural

    ogs,

    between

    the evelof

    employment

    n the

    ndustry

    n

    subse-

    quent

    years.

    n

    a fast

    rowingndustry,

    he

    prob-

    ability

    f firm

    urviving

    s

    higher

    han

    n a slow

    growing

    or

    declining)

    ndustry

    s incumbents

    may

    be less

    likely

    o retaliate

    n

    a fast

    growing

    market. his

    implies

    hat

    irms

    may

    choose

    to

    enter t a

    larger

    ize

    n

    fast

    rowing

    arkets,

    ue

    to the

    higher robability

    f success.

    3.

    Econometric

    methodology

    We estimate heabove model

    usingRegression

    Quantile

    RQ)

    estimation

    echniques.6

    ata and

    Machado

    1996)

    point

    o a numberf

    advantages

    in

    using

    he

    RQ

    estimatornstead

    f

    tandardeast

    square egression

    odels n

    examining

    hedeter-

    minantsf

    tart-up

    ize.For

    one,

    he

    RQ

    estimator

    allows one to

    investigate

    ifferentonditional

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  • 8/10/2019 Determinants of Firm Start-Up Size

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    Determinants

    f

    Firm

    tart-Up

    ize

    213

    distributionsather han

    focusing

    n a

    single

    tendency

    easure,

    uch s

    themean

    n

    the east

    square egression

    odels,

    nd

    thus

    may

    provide

    further

    nformationn the distribution

    f firm

    start-upize.Secondly,talso allowsone to take

    account f

    possible

    eterogeneity

    cross

    irm

    izes

    thats not

    aptured

    y

    ndustry

    evel covariates.

    If,

    for

    example,

    tart-up

    ize reflects o some

    degree

    ccess o

    funds,

    hen he ffectf heMES

    in a

    particular

    ndustry

    ay

    e different

    or mall

    relative

    o

    arge

    irms.

    n

    a similar

    ote,

    he vail-

    able

    industrial reakdown

    may

    not be detailed

    enough

    o allow

    thedistinction

    etween

    nterme-

    diate

    uppliers

    nd direct

    ompetitors

    ithin n

    industry;

    he ffect f

    the ovariates

    n

    start-up

    size

    s

    likely

    o

    differt

    east omewhat

    or hese

    twogroups ffirms.

    Thirdly,

    he

    authors lso

    point

    out that he

    least

    quare

    stimators

    an

    be sensitive

    o even

    modest

    eviations

    f he

    esiduals

    rom

    ormality,

    whereas

    he

    RQ

    is

    robust o

    such.

    Finally,

    nder

    the

    ssumption

    hat he

    distribution

    f

    firm

    ize

    was

    approximately

    ognormal,

    standard

    ractise

    in

    the

    iteraturen

    firm ize

    has beento

    use the

    logarithmic

    ransformation

    f

    the

    dependent

    variable.

    f,

    however,

    hedistribution

    s

    actually

    not

    ognormal,

    hen

    heOLS

    estimator

    ay

    not e

    optimal

    iven

    hat

    t s

    only quivariant

    o

    inear

    transformationsfthedependentariablenesti-

    mation.

    n

    contrast,

    he

    RQ

    estimator

    s

    equi-

    variant

    o

    both

    monotonic

    inear nd

    non-linear

    transformations

    f the

    dependent

    ariable.

    4.

    Data

    Our

    data source

    s

    an annual

    mployment

    anel

    survey

    arried

    ut for

    the

    rish

    manufacturing

    sector

    ince 1973

    by

    Forfas,

    he

    policy

    and

    advisory

    oard

    for industrial

    evelopment

    n

    Ireland.

    t covers

    ll known

    ctive

    manufacturing

    companies. heresponse ate othis urvey as

    on

    average

    een

    xtremelyigh,

    enerally

    ver 9

    per

    ent.

    heunit f

    observation

    s the

    ndividual

    plant,

    or

    which

    he

    umber

    f

    permanent

    ull-time

    employees

    s

    reported.

    ach

    plant

    s,

    amongst

    other

    hings,

    dentified

    y unique

    lant

    umber,

    year

    f

    start-up

    nd

    ts 4-to-5

    igit

    NACE

    code

    sector

    of

    location.

    These

    identifiers

    re

    only

    changed

    f here

    s an actual

    hange

    f

    ownership.

    In

    order

    o

    make ur

    ample

    omparable

    o the

    sample

    or

    ortugal

    sed

    by

    Mata

    and

    Machado

    (1996)

    we exclude

    firmswith

    less than

    5

    employees.

    his eaves s with

    ,603

    observations

    on firm ntrantsn the rish

    manufacturing

    ector

    for he eriod 973-1996. hesummarytatistics

    presented

    n

    Table show hatmean irm

    tart-up

    size for ur

    ample

    s at

    roughly

    9

    employees,

    although

    he

    high

    tandardeviation

    mplies

    hat

    there

    s

    a

    large pread

    f sizes

    around hismean.

    This

    average

    s

    slightly igher

    han he mean

    for the

    Portuguese ample

    used

    by

    Mata and

    Machado,

    where hemean

    tart-up

    ize stands t

    approximately

    7

    employees.

    he

    coefficient

    or

    skewnessn Table indicateshat he

    distribution

    of

    firm

    tart-up

    izes s

    highly ight

    kewedwhich

    is

    also shown

    by

    the

    result hat

    he median f

    10 is far ess than he arithmetic) ean ize of

    19

    employees.

    his can be

    compared

    with

    he

    Portuguese

    ata,

    which how a

    coefficientf

    skewness

    f 6.55 and

    a median

    ize of

    10, .e.,

    they

    re

    very

    imilar

    o the

    figures

    ound

    or he

    Irishdata.

    The maximum

    irm

    ize, however,is

    higher

    or he

    rish

    557)

    than or he

    Portuguese

    sample

    335)

    of

    Mataand Machado.7

    The distributionf

    firm

    tart-up

    ize

    n

    reland

    is illustrated

    n

    Figure

    ,

    which hows he

    high

    clustering

    f sizes

    n the

    ow

    size

    classes,

    round

    5-7

    employees.

    s

    pointed

    ut

    above,

    standard

    OLS estimationechniquesan be sensitive o

    evenmodest

    eviations

    fthe esiduals rom or-

    mality,

    hereas

    he

    RQ

    is robust o

    such

    devia-

    tions.

    igure suggests

    hat

    he

    irm

    tart-up

    ize

    distribution

    oes not onform

    o a normal istri-

    bution,

    nd a formal

    est or

    normality

    ased on

    TABLE

    I

    Summary

    tatistics

    or

    irm

    tart-up

    ize

    Irish

    ample Portugueseample3

    Observations 4,603 1,079

    Mean

    ize

    19.13

    17.21

    Standard eviation

    30.89

    25.59

    Minimum

    5

    5

    Median

    10 10

    Maximum

    557

    335

    Skewness

    6.88

    6.55

    Kurtosis

    75.32

    61.13

    a

    Data for

    Portuguese

    ample reprinted

    rom

    Mata and

    Machado

    1996),

    Table

    I,

    with

    permission

    rom lsevier

    Science.

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    214

    HolgerGorg

    t

    al.

    Figure

    1

    Distribution f

    firm

    tart-up

    ize in Ireland.

    1

    -

    .8

    ~

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    Determinants

    f

    Firm tart-

    p

    Size

    215

    TABLE II

    Quantile

    egression

    esults or rish

    ample3

    Quantiles

    OLS

    0.15

    0.25

    0.5

    0.75

    0.9

    MES 9.122 0.354 0.621 2.163 6.656 19.373

    (12.659)***

    (6.839)***

    (6.296)*** (11.529)***

    (12.445)***

    (15.581)***

    Suboptimal

    cale

    -81.072 -4.442

    -7.905

    -25.795

    -65.013

    -141.217

    (-7.119)*** (-5.495)***

    (-5.054)***

    (-8.706)***

    (-7.456)***

    (-6.786)***

    Industry

    ize

    -0.203 0.042

    -0.005

    -0.135

    -0.280

    -1.827

    (-0.369)

    (1.027)

    (-0.072)

    (-0.943)

    (-0.699)

    (-2.126)***

    Turbulence

    1528.410

    50.736 110.344

    470.144

    1834.417

    4512.668

    (7.904)*** (3.211)***

    (3.904)*** (9.315)***

    (13.749)***

    (16.540)***

    Industryrowth

    37.110 0.444

    0.908

    2.179

    14.568

    32.412

    (7.472)*** (1.205)

    (1.360)

    (1.686)*

    (3.710)***

    (3.442)***

    Constant 2.596 4.680

    5.875

    8.082

    13.875

    20.179

    (0.486) (11.882)*** (7.998)***

    (5.803)***

    (3.597)***

    (2.441)**

    Location stimates 19.128 5.586 6.533 10.455 20.098 40.944

    R2

    0.06 0.01 0.01

    0.02

    0.05

    0.10

    F(H0:p,

    =

    0)

    12.28

    7.09 5.63

    12.33

    14.05

    18.72

    a

    t-statistics

    n

    parentheses. egressions

    nclude

    ime

    dummies. sterisks enote

    tatistical

    ignificance

    t 1

    per

    cent***,

    5

    percent**,

    0

    percent*

    evel.

    tendency

    f the

    data,

    the

    regression uantile

    results

    ive

    a more

    recise icture

    f the

    mpor-

    tance f

    he

    xplanatory

    ariables or he ifferent

    quantiles. omparing

    he esultsn

    Table

    I

    for he

    different

    uantiles

    hows hat he

    magnitude

    f he

    coefficientshanges s we move longthe ize

    distributionffirms.he oefficientsorMES

    and

    turbulence

    re

    higher

    or he

    higheruantiles

    han

    for ower

    nes which

    uggests

    hat

    hey

    ecome

    more

    mportant

    ariablesfor

    arger tart-ups.

    Suboptimal

    cale

    lso ncreases

    n

    economic)

    ig-

    nificance

    n the

    negative

    irection,

    s we move

    o

    higheruantiles.

    n

    other

    ords,

    uboptimal

    cale

    seems o be more f

    a

    negative

    actor or

    arger

    than or maller

    irms.hese esultsre lso

    found

    by

    Mata

    and

    Machado,

    s

    Table II shows.

    Industry

    izedoesnot eem o

    exert

    ny mpact

    onfirmtart-upize n relandn the stimations

    of the 0.15-0.75

    quantiles,

    s the

    statistically

    insignificant

    oefficients

    ndicate.

    nly

    n

    the

    .9

    quantile

    do

    we find a

    statisticallyignificant

    negative

    ffectf

    ndustry

    ize,

    a result

    which s

    contrary

    o our

    xpectations

    s formulated

    bove.

    We would

    have

    expected positive

    ffect f

    industry

    ize

    on

    start-up

    ize,

    as the

    probability

    of retaliation

    f ncumbents

    n a

    larger

    markets

    likely

    o be

    lower han

    n

    a small

    market.

    The

    growth

    f the

    ndustry

    s,

    forthe

    rish

    sample,

    statistically

    nsignificant

    xplanatory

    variable

    n

    the

    0.15

    and

    0.25

    quantiles

    ut t is

    statisticallyignificant

    n

    the

    higher

    uantiles.

    he

    magnitude

    f he

    oefficientsor his

    ariable

    lso

    increasesnthehigheruantiles. ence, he tart-

    up

    size of

    arge

    ntrants

    ppears

    o be

    positively

    influenced

    y growing

    ndustry,

    ut

    his oes

    not

    seem to be the case for mall

    sized

    start-up

    n

    Ireland. his

    may uggest

    hat

    articularly

    arge

    firms hoose to enter t a

    larger

    ize in

    fast

    growing

    arkets

    han

    hey

    would

    therwise

    ave,

    due to the

    higher

    robability

    f success n

    a fast

    growing

    arket.

    ontrary

    oour

    esult or

    reland,

    Mata and Machado

    only

    find

    statistically

    ig-

    nificantffectf

    ndustryrowth

    n

    firm

    tart-up

    size for he .15 and0.25

    quantiles.

    hus,

    ndustry

    growtheems o be a determinantffirmtart-up

    only

    or mall irms

    n

    Portuguese

    anufacturing.

    While

    glance

    t theresults

    eported

    or he

    Irish

    ample

    hus

    ar eems o show hat he izes

    of thecoefficientsiffer etween

    uantiles,

    we

    need otest hismore

    igorously.

    able

    V

    presents

    the esults f

    nterquantileange egressions,

    .e.,

    regressions

    f thedifference

    n

    quantiles,

    hich

    allow us to examinewhetherhe

    effects f the

    variables re he ame tthe

    espective

    uantiles.9

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  • 8/10/2019 Determinants of Firm Start-Up Size

    7/13

    216

    HolgerGorg

    t

    al.

    TABLE

    III

    Quantile

    egression

    esults

    or

    ortuguese

    ample*

    Quantiles

    OLS

    0.15

    0.25

    0.5

    0.75

    0.9

    MES 5.406 0.507 0.607 1.935 4.567 13.858

    (4.978)***

    (3.703)***

    (2.926)***

    (4.011)***

    (4.260)***

    (4.571)***

    Suboptimal

    cale

    -16.353

    -1.529

    -2.205

    -6.322

    -14.448

    -41.785

    (-3.486)***

    (-2.010)**

    (-2.498)**

    (-3.123)***

    (-4.026)***

    (-5.033)***

    Industry

    ize

    1.201

    0.244

    0.150

    0.366

    0.577

    1.014

    (1.545)

    (3.252)***

    (1.138)

    (1.367)

    (0.979)

    (0.926)

    Turbulence

    445.960

    59.873

    99.316

    217.944

    488.754

    889.744

    (3.253)***

    (2.894)***

    (2.660)***

    (3.159)***

    (3.799)***

    (4.636)***

    Industryrowth

    12.901

    2.713

    3.985

    5.592

    9.234

    7.710

    (1.857)*

    (3.133)***

    (1.851)*

    (1.381)

    (1.238)

    (0.460)

    Constant

    -12.938

    1.579

    2.905

    -0.093

    -3.585

    -20.807

    (-1.673)

    (1.908)*

    (2.220)**

    (-0.036)

    (-0.611)

    (-2.054)**

    Location stimates 17.205 5.855 6.674 10.294 18.164 34.097

    a

    t-statistics

    n

    parentheses.

    sterisksenote

    tatistical

    ignificance

    t

    1

    per

    ent***,

    percent**,

    0

    percent*

    evel.

    b

    Reprinted

    romMata

    ndMachado

    1996),

    Table

    I,

    with

    ermission

    rom

    lsevier cience.

    TABLE IV

    Interquantileange

    egressions

    or

    omparison

    f

    quantiles3

    0.25-0.15

    0.5-0.25

    0.75-0.5

    0.9-0.75

    MES

    0.213

    1.616

    5.042

    12.278

    (3.133)***

    (7.005)***

    (10.245)***

    (8.399)***

    Suboptimal

    cale

    -3.595

    -20.392

    -42.203

    -86.985

    (-3.935)*** (-10.429)*** (-8.727)*** (-4.764)***

    Industry

    ize 0.013

    -0.181

    -0.623

    -2.150

    (0.250)

    (-1.217)

    (-1.628)

    (-1.973)**

    Turbulence 41.324

    399.487

    1484.488

    3261.540

    (1.336)

    (4.510***

    (7.126)***

    (3.731)***

    Industry

    rowth

    0.220

    2.167

    13.599

    18.759

    (0.329)

    (1.646)*

    (4.061)***

    (2.654)***

    a

    t-statistics

    n

    parentheses.

    sterisksenote tatistical

    ignificance

    t

    1

    per

    ent***,

    percent**,

    0

    percent*

    evel.

    The

    results how hat he ffectsf theMES and

    suboptimal

    cale variables re different

    n

    the

    compared uantiles. he effect fMES increases

    while he ffect

    f

    suboptimal

    ize also increases

    in the

    negative

    irections we move

    along

    the

    start-up

    ize

    distribution.he effectfturbulence

    doesnot

    ppear

    obe differentn

    the .15 and0.25

    quantiles.

    or

    ndustry

    ize and

    growth

    e

    only

    find

    differentffectsn

    comparisons

    f

    higher

    quantiles.

    We

    also tested or

    he

    quality

    f

    coefficients

    in

    the

    regressions

    or he rish

    ample

    Table I)

    and the

    coefficients

    or

    the

    Portuguese

    ata

    obtained

    y

    Mata and

    Machado

    Table II)

    using

    a t-test.10s TableV shows,we cannot eject he

    null

    hypothesis

    f

    equal

    coefficients

    n the rish

    and

    Portuguese

    egressions

    or he

    MES

    variable

    in

    the0.15

    and 0.25

    quantile,

    hile

    he tandard

    t-test

    s

    only ignificant

    t

    the 10

    per

    cent

    evel

    of confidence

    n themedian

    egression.

    he test

    statisticsor ll

    other

    ariables,

    owever,

    llow

    us

    to

    reject

    he

    null

    hypothesis

    or

    he

    respective

    coefficients.

    The differences

    n the oefficients

    btained

    or

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  • 8/10/2019 Determinants of Firm Start-Up Size

    8/13

    Determinants

    f

    Firm tart-

    p

    Size

    217

    TABLE

    V

    Testfor

    quality

    etween

    oefficients

    n

    regressions

    or

    reland nd

    Portugal

    0.15

    0.25

    0.5

    0.75

    0.9

    MES -1.3592 0.1536 1.8653 16.0745 39.2947

    Suboptimal

    cale

    -46.7265 -71.7314

    -186.1268

    -284.7227

    -290.0135

    Industry

    ize -2.0442

    -4.4835

    -12.0260

    -28.2085

    -91.9272

    Turbulence -36.6951 25.9882

    336.2292

    683.0881

    54.4685

    Industryrowth

    -23.7468 -53.7934

    -73.9580

    77.2291

    177.0546

    the rish

    ample

    or he ifferent

    uantilesuggest

    thatt seems

    rudent

    o

    analyse

    ow ensitivehe

    coefficients

    re to the choice of the

    respective

    quantile.

    o

    nvestigate

    his ssuewe estimatedhe

    regressions

    t each

    quantile

    etween .15 and

    0.9

    and

    plotted

    he oefficients

    or hedifferent

    ari-

    ables nFigures -6. It s obvious hat he oeffi-

    cients

    o not

    eemto be

    overly

    ensitive o the

    choice

    of

    quantile,

    s

    the oefficients

    re

    gener-

    ally ncreasing

    in

    absolute

    alues)

    ver

    he

    uan-

    tiles

    or ll

    variables.

    here re

    light

    luctuations,

    however,

    or

    he

    ndustry

    ize

    and

    ndustryrowth

    variables ut

    hese o

    not

    ppear

    o be so

    grave

    as to

    cause

    anymajor

    oncerns

    or

    he stimation

    results.

    t is

    noteworthy

    hat

    hese wovariables

    are

    he nesfor

    whichwe

    got

    esults

    hatwere ot

    as

    clear

    ut s the

    results or

    heother ariables

    in the stimation.

    As pointed utabove, hedata usedbyMata

    and

    Machado

    1996)

    relate o

    firmswith

    five

    or more

    mployees

    nd

    we also excluded

    irms

    smaller

    han

    ive

    mployees

    rom

    he rish

    ample

    to

    compare

    ur results

    with hosefor

    Portugal.

    However,

    inceour

    data set

    for reland

    ncludes

    all firms

    ith ize

    one or

    morewe

    are also able

    to

    nvestigate

    he

    eterminants

    f

    tart-up

    ize for

    all

    firms,

    ncluding

    hose

    with ess than

    five

    employees.

    ur

    data

    set ncludes

    ,816

    observa-

    tions n

    firms

    ith

    tart-up

    ize

    smaller

    han ive

    employees.

    We

    re-estimated

    quation

    1)

    using

    data for ll firmsn thedataset,theresults f

    which

    re

    reported

    n Table

    VI.

    The

    most

    triking

    ifference

    o theresults

    n

    Table

    I is

    that,

    or he0.15

    and 0.25

    quantile,

    the

    coefficients

    f all

    explanatory

    ariables

    re

    very

    lose to

    zero.

    Thus,

    even

    though

    he test

    statistics

    ndicate

    hat he

    oefficients

    ppear

    obe

    statisticallyignificant

    nthe stimations

    or hese

    quantiles,

    t seems

    to be

    reasonable

    o

    say

    that

    they

    re

    economicallynsignificant

    ue to their

    extremely

    mall ize. These

    esults

    may

    e

    due to

    thefact hat

    he

    majority

    f

    small

    ntrants

    i.e.,

    entrants ith ize

    of ess than ive

    mployees),

    namely

    ,583,

    enter t a size of

    less than

    hree

    employees,

    hile

    ,620

    firms ad

    a

    start-up

    ize

    of one. This s also reflectedn

    the

    ocation sti-

    mates,which ake n valuesof ess than wofor

    the 0.15 and 0.25

    quantiles.

    hese

    very

    mall

    firmsre

    ikely

    o be

    self-employed

    rofessionals

    or

    family

    usinesses,

    here he

    hoice f

    tart-up

    size

    may espond ifferently

    o market

    onditions

    than he hoice

    n

    arger

    irms.

    n

    particular,

    hese

    very

    mall irms

    ay

    ot

    espond

    o

    ndustry

    har-

    acteristics,

    uch s the nes

    aptured

    n

    our

    mpir-

    ical

    model,

    othe ame xtents

    large

    ntrantso.

    The

    coefficientsf

    the

    explanatory

    ariables

    in the

    higher uantiles

    re similar o the

    results

    in Table II in terms f statistical

    ignificance,

    althoughheyre smaller han he orresponding

    results for firms

    excluding

    ess than five

    employees.

    his s not

    urprising

    s the

    uantiles

    take n lower aluesfor

    he

    ample ncluding

    ll

    firmshan or he

    ample

    xcluding

    irms ithess

    than ive

    mployees,

    s indicated

    y

    comparison

    of ocation

    stimates

    n

    Tables

    VI

    and

    I.

    6.

    Summary

    nd conclusions

    The

    tart-up

    ize

    or

    nitial

    ize)

    of

    firm

    asbeen

    found o

    be an

    important

    eterminantf

    a firm's

    subsequenterformancendprospectsf urvival.

    However,

    hedeterminants

    f

    firm

    tart-up

    ize

    have,

    o thebestof our

    knowledge,

    ot ttracted

    much

    nterest

    n

    the

    iterature,

    ith he

    xception

    of a recent

    aper

    by

    Mata and Machado

    1996)

    which

    nalyses

    ata

    for he

    Portuguese

    anufac-

    turing

    ector.

    n this

    paper,

    we

    present

    urther

    empirical

    videncento he

    determinantsf start-

    up

    size,

    using

    data for

    manufacturing

    irms

    n

    Ireland ver

    he

    period

    973-1996.

    We

    compare

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  • 8/10/2019 Determinants of Firm Start-Up Size

    9/13

    218

    Holger

    Gorg

    t al.

    Figure

    2.

    Coefficients

    or

    minimum

    fficient cale.

    I

    i

    I

    20

    -

    |

    15 /

    |

    10 /

    |

    5

    ^^^S

    I

    o

    -L

    -

    ,

    , , , ,

    -

    ,

    ,

    ,

    , , ,

    I

    ddoooddddoooddodbdoodddo'cidoofdodo'oddo'oo

    quantile

    Figure

    3.

    Coefficients

    or

    uboptimal

    cale.

    o

    I

    , ,

    , , , , i i

    i , , ,

    ,

    ft

    r^

    o>

    _

    *-

    ninsoiromsoirnioso^ninNOirnioNOroiosoit-ninNO)

    r>-

    -

    ~-

    t>->iN|

    \|

    ^tNi

    (Ortrtwnt^^^TtwiqiqinintpipiDipipsssNNOoooino);

    d

    o

    o

    o o

    d^cr~~o-~L^o_cJ

    ciddciocicidcicicicicicicicicicicicicidcicicicicii

    -20

    ^^^v^^

    -60

    V^^^

    j

    |

    -80

    \

    |

    -100

    V>^^

    I

    -120 \

    I

    -140

    \

    -160

    -^

    ~

    ^

    quantile

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  • 8/10/2019 Determinants of Firm Start-Up Size

    10/13

    Determinants

    f

    Firm tart-

    p

    Size

    219

    Figure

    . Coefficients

    or

    ndustry

    ize.

    U.O "I

    ;

    0

    "^TT^V.s^r. , ^i^^7>si , ,/T>^^q. .., iry, y^ , ,..,,., j

    r-^-^-cNCvicsjOicNcocococofO^^r'sr

    >f^

    N^^flr^iJTxo

    iq

    yb

    ic

  • 8/10/2019 Determinants of Firm Start-Up Size

    11/13

    220

    Holger

    Gorg

    t al.

    Figure

    6.

    Coefficients or

    ndustry rowth.

    30 /

    |

    25 /

    I

    20 I

    \

    1

    15 /

    |

    10-

    J

    [

    5 ./

    |

    or>-o>^cou^h*o)T-(ovor^o>^-cotoh-cy)^-(Oior.o)'r-cou5r^O)T-cooh-0)T-foior^o)i

    rrT-(\jt\jNNv|nnnon^^^ti;iooioio)(p(pp(p

  • 8/10/2019 Determinants of Firm Start-Up Size

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    Determinants

    f

    Firm

    Start-

    p

    Size

    221

    our esults ith he

    indings

    btained

    y

    Mata nd

    Machado

    1996).

    In

    our

    empirical nalysis

    we take ccount f

    firm

    eterogeneity

    etween

    ntrants,.e.,

    differ-

    ences n the hoice f tart-upize,using uantile

    regression

    echniques.

    e find hat hedetermi-

    nants f

    start-up

    izefor he rish

    manufacturing

    firms

    iffer

    n

    their

    mportance

    or small and

    large-scale

    ntrants.

    he

    size of

    the mallest ew

    entrants

    oes not

    appear

    to be influenced

    y

    industry

    ize and

    ndustryrowth,

    .e.,

    factorshat

    give

    nformationbout

    he ctual

    ize and

    growth

    of

    themarket

    ntowhich he

    firm nters.

    lso,

    while he ffects

    f

    minimumfficient

    cale and

    sunk

    osts

    are

    significant

    or mall

    firm,

    heir

    impact

    s

    quite

    mall

    ompared

    ith

    arger

    irms.

    For he argestntrants,hemodel f he eter-

    minantsf

    tart-up

    ize

    s much

    more onclusive.

    Large

    irms o

    not

    ppear

    o enter

    markets here

    minimumfficient

    s

    low, .e.,

    where conomies

    of

    cale re

    negligible,

    r

    where unk osts

    renot

    important.

    lso,

    market

    onditions,

    iz.,

    ndustry

    size

    and

    growth

    re

    mportant

    eterminants

    aken

    into onsiderations

    y

    arge

    ntrants.

    hileour

    results

    re

    fairly

    imilar

    o the esults btained

    y

    Mata

    nd

    Machado

    1996)

    for

    ortugal,

    here re

    significant

    ifferences

    articularly

    ith

    egard

    o

    the ffect

    f

    ndustry

    ize

    and

    ndustryrowth

    n

    the hoice fstart-upize.

    A natural

    xtension

    f he

    resent

    nalysis

    s to

    study

    he

    ffects

    f

    firm

    tart-up

    ize

    on

    firm

    er-

    formance

    nd

    firmurvival.

    s

    pointed

    ut

    n

    the

    Introduction,

    heres

    a

    large

    ody

    f

    iterature

    hat

    has studied

    hese

    elationships

    sing

    ata

    for if-

    ferentountries

    ut,

    o

    the est

    f

    our

    knowledge,

    no

    analysis

    has been

    undertaken

    or

    the rish

    economy

    hus

    far.

    While

    such

    an

    analysis

    s

    beyond

    he

    scope

    of the

    present

    aper,

    t is an

    issue

    we

    hope

    o take

    up

    n future

    esearch.

    Acknowledgements

    Part f

    this

    aper

    was

    written

    hile

    Holger

    Gorg

    was a

    Visiting

    esearcher

    t

    The

    Policy

    nstitute,

    Trinity

    ollege

    Dublin.

    We are

    grateful

    o

    an

    anonymous

    eferee

    or

    helpful

    omments.

    Notes

    1

    See Geroski

    (1991,

    1995)

    and

    Caves

    (1998)

    for

    concise

    reviews of the

    iterature

    n firm

    ntry.

    2

    A

    comparison

    of

    Ireland and

    Portugal

    is of

    particular

    interestas both are designated objective 1 regions and

    cohesion countrieswithin

    he

    European

    Union.

    3

    Since

    we want o

    compare

    our results

    with he

    findings

    or

    Portugal

    we confine

    ourselves to

    using

    the same

    empirical

    model as Mata and Machado

    (1996).

    4

    Lyons

    (1980)

    suggests

    an

    alterantive

    measure of

    MES,

    namely,

    ne half of the

    average

    number f

    workers

    n

    a firm

    that,

    n

    average, perate

    1

    5

    plants.

    We

    do nothave data avail-

    able to calculate

    such

    a measure.

    5

    Even

    though Beesley

    and Hamilton

    (1984)

    originally

    proposed measuring

    urbulence s the sum of

    entry

    nd exit

    in an

    industry,

    ata and Machado

    (1996)

    suggestmeasuring

    it as the

    product

    f

    entry

    nd exit because the

    product

    will

    only

    attain

    high

    values if

    entry

    nd exit are both

    mportant"

    (p. 1311).6

    The

    RQ

    estimatorwas

    suggestedby

    Koenker and Bassett

    (1978),

    Bassett and Koenker

    1982).

    7

    This

    may

    be due to the fact that a

    large proportion

    f

    manufacturing

    irms

    n Ireland re

    foreign-owned

    irms. ne

    may expect

    that

    foreign-owned

    irms,

    which are

    likely

    to be

    subsidiaries f

    multinational

    ompanies,

    re

    arger

    han rish-

    owned

    firms

    see

    Ruane and

    Gorg,

    1996).

    8

    All

    estimations

    were

    performed

    n

    Stata 6.0. The

    regres-

    sions

    includetime

    dummies,

    he coefficients f which re not

    reported

    ut can

    be obtainedfrom he authors

    pon request.

    9

    For

    example,

    consider

    he 0.15 and 0.25

    quantile:

    fio.25

    =

    fl0.25

    ^0.25*

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