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    Department of Economics Delhi School of Economics University of Delhi

    Economic Approaches to Education and Manpower PlanningAuthor(s): Amartya K. SenSource: Indian Economic Review, New Series, Vol. 1, No. 1 (APRIL 1966), pp. 1-21Published by: Department of Economics, Delhi School of Economics, University of DelhiStable URL: http://www.jstor.org/stable/41969624 .

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    Economic

    Approaches

    to

    Education and

    Manpower

    Planning*

    THE

    Theories,

    relation

    to

    between

    be sound

    theory

    empirically,

    and statistics

    must be

    is

    based

    an

    intricate

    on

    data,

    one.

    but

    heories,

    to be sound

    empirically,

    must be

    based

    on

    data,

    but

    statistics,

    n their

    turn,

    cannot

    be

    efficiently

    ollected

    and

    compiled

    without

    ome

    notionof

    a

    background

    heory.

    In

    a

    new

    field

    like that

    of

    economics

    of education

    nd that

    of

    manpower

    planning,

    such back-

    ground

    heories an

    prove

    to

    be the

    biggest

    stumbling

    block. A number

    of

    approaches

    have

    cropped

    up

    in the

    field,

    nd

    statisticalwork

    seem

    to

    be

    proceeding

    in

    a

    variety

    of

    directions.

    It

    is

    not

    altogether

    lear,

    however,whether ll theseapproachesare particularlypromising. Since

    the

    quality

    nd the amount

    of the

    data

    leave a lot

    to be

    desired,

    rejection

    or verification

    s

    not

    very

    easy.

    It

    is,

    therefore,

    ll

    the more

    necessary

    that

    the

    underlying

    ogic

    of the

    background

    theories

    should

    be

    very

    carefully

    examined,

    to

    make

    sure

    what exact

    economic

    assumptions

    they

    mply,

    nd to

    what

    extent

    hese

    are

    plausible

    relations

    o

    expect.

    In

    this

    paper

    three f

    the

    more dominant

    pproaches

    to

    the

    problem

    will

    be examined

    (i)

    The Fixed

    RequirementsApproach, e.g.,

    that

    of

    Professors

    Tinbergen,

    orrea,

    and

    Bos

    ;x

    (ii)

    The

    Income Shares

    Approach

    of

    the

    Marginalist

    School,

    e.g.,

    that

    of

    Mr. Denison

    2

    •This

    formedhe

    asis

    f

    lecture

    elivered

    n June

    964

    at

    the

    Asian nstitute

    of

    Economic

    evelopment

    nd

    Planning

    f

    the

    United

    ations.

    1.

    J.

    Tinbergen

    ndH.

    Correa,

    Quantitative

    daptation

    fEducation

    o Accelere-

    ted

    Growth, yklos,yL'

    1962),

    ;

    J.

    Tinbergen

    nd

    H.

    C,

    Bos,

    A

    Planning

    Model of

    Education

    equirements

    f

    Economic

    evelopment,

    n

    O.E

    C.D.,

    TheResidual

    actornd

    Economic

    rowth

    Paris,

    964).

    2. E.

    F.

    Denison.The

    Sources

    f

    Economic

    rowth

    n

    the

    United

    tates

    nd he

    Alternativesefore s NewYork,1962); enison,MeasuringheContribution

    of

    Education

    and

    the

    'residual')

    to

    Economic

    Growth ,

    .E.C.

    D.,

    The

    Residual

    actor

    nd

    conomicrowth

    Paris,

    964).

    The

    pproach

    was

    pioneered

    by

    Professorchultznd numberf

    Chicago

    conomits;

    eethe

    Supplement

    f

    the

    Journal

    f

    Political

    Economy

    Vol.

    70,

    No.

    5,

    Part2

    (October

    962);

    see lso

    G. S.

    Becker,

    uman

    apital

    New

    York,

    964).

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  • 8/18/2019 Author(s) Amartya K. Sen - Economic Approaches to Education and Manpower Planning

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    i

    Á. fc.

    SÈÍSf

    (iii)

    The

    Human Resouree

    ndex

    Approach

    of

    Professors Harbison

    and Myers.8

    In the

    light

    of our assessmentof

    these

    approaches

    some

    suggestions

    would be

    made on what

    other

    data

    to

    collect,

    nd what

    further onsidera-

    tions to

    bring

    into

    our

    analysis

    of

    the economics

    of

    education and

    manpower lanning.

    The Fixed

    Requirements pproach

    The first

    pproach

    consists

    ssentially

    n

    postulating

    fixed

    relations

    between stocks

    of educated

    manpower

    nd unitsof

    national

    ncome,

    or

    its ectoral

    components.

    It assumes

    away implicitly

    he

    possibility

    of

    substitution

    etween educational resources

    and

    productive

    factors of

    otherkinds.

    Theorization f thiskind s

    implicit

    n

    the often

    repeated

    casual

    statement bout educational

    planning,

    viz.,

    educational

    expansion

    must

    o

    up proportionately

    o economic

    expansion.

    Professors

    inbergen,

    Correa and Bos

    have

    formulated he

    implications

    of

    this

    approach

    rigorously

    n two

    models,

    which re

    very

    worth

    tudying.

    Both

    in the

    Tinbergen-Correa aper

    (1962),

    as well as in the

    Tinbergen-Bos paper (1963),

    there

    are

    two

    scarce

    resources, iz.,

    the

    total

    stockof

    people

    with

    a

    secondary

    education,

    and

    those

    with a

    third-level

    ducation,

    indicated

    respectively y

    N2,,

    and

    N3,,

    for

    time

    period

    t.

    In

    the 1962

    paper,

    the need

    for

    N2

    is taken to

    be

    simply

    proportional

    o the national

    ncome.

    The

    same

    for

    hat

    part

    of N3

    which

    is used

    for

    producing

    national

    ncome;

    but there

    are two other

    parts

    of

    N3

    employed

    n

    teachingpeople

    at

    the

    secondary

    nd the

    third

    evel,

    and

    these

    requirements

    re

    also takento be

    proportional given

    teacher-pupil

    ratios).

    The stock

    of

    secondary

    educated

    manpower

    and third-level

    educated manpower this period depends on the stock astperiod, lus

    new

    entrants his

    period

    after

    inishing

    ducation

    last

    period,

    minus

    the

    part

    of

    the ast

    period's

    tock eliminated

    y

    death and

    retirement.This

    drop

    out is taken

    to

    be

    a

    fixed

    proportion

    of the last

    period's

    stock.

    These are the

    main features f the

    1962

    paper,

    and the rest

    consists n

    the

    working

    out

    of the

    implications

    of

    all this

    and

    of

    a

    few

    otherminor

    assumptions.

    The education

    requirements

    f alternative

    rates of

    growth

    are

    examinedwithin his framework.

    In

    the

    1963

    paper, Tinbergen

    and

    Bos

    develop

    this model

    further,

    introducingomechanges,without lteringthe basic approach. Instead

    of

    assuming

    hat all

    the students

    ventually

    oin

    the abour

    force,

    a fixed

    3. F. HarbisonndC.A.

    Myers,

    ducation,anpower

    nd conomic

    rowth

    New

    York,

    964).

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    EDUCATION ND MANPOWERLANNINÖ

    3

    proportion

    f

    wastage (e.g.

    due

    to

    failure

    o

    pass

    or

    to

    continue

    study,

    due to seeking ducationforpurelycultural reasons withoutwantingto

    use

    it)

    is introduced.

    The

    possibility

    f an

    initial

    urplus

    f

    some kind

    of

    educated stock

    s also considered.

    Manpower requirements

    re

    related

    to sectoral

    omponents

    of national

    ncome,

    nd

    not

    to

    aggregated

    ational

    income

    altogether.

    And

    instead

    of

    taking

    proportional

    elationbetween

    educated

    manpower

    and the

    product,

    a

    not-necessarily-proportional,

    but

    unique,

    elationbetween he two is assumed. This last

    relaxation

    of

    the

    assumption

    f the

    firstmodel has to

    be examined

    carefully,

    We

    may

    now,

    lor

    example,postulate

    hat

    when

    output goes up

    10

    per cent,

    the

    stockof

    secondary

    ducated

    manpower equirement oes up

    by

    5

    per

    cent.

    But whilethis

    relation

    s

    not

    proportional,

    t

    is

    unique,

    n the

    sense

    that

    a 10

    per

    cent ncrease n

    outputrequires

    fixed amount of

    expansion

    of

    the

    educated

    stock,

    no matter what else

    we

    do

    in

    the

    economy.

    We

    cannot

    cut down

    the

    requirement

    f educated

    stock

    by choosing

    other

    techniques

    f

    production

    equiring,

    ay,

    less of this kind of

    education.

    In

    fact,

    what

    characterises

    hesemodels s

    this

    notionof fixed

    equirement

    of

    educational

    tock

    for

    producing

    given

    ize

    of

    national

    ncome and its

    sectoral omponents.

    Any

    model

    of

    this

    kind

    requires

    some

    simplification,

    nd such

    theories

    hould not be

    taken

    to

    task for

    assuming

    he

    reality

    o

    be

    a

    little

    simpler

    han t in

    fact

    s,

    in orderto achieve

    practicalusability.

    What is

    worrying,

    herefore,

    s not the existence of

    simplifyingssumptions

    s

    such,

    but those

    pecific

    nes that

    seem

    to

    put

    us on the

    wrong

    track

    altogether.

    I have

    had

    occasion

    to

    discussthese models

    elsewhere,4

    nd

    here I shall

    only very

    riefly

    tate

    what

    appears

    to me to be the

    three

    chief

    drawbacks

    f

    this

    pproach,

    which,

    somewhat

    unfairly

    to Correa

    and Bos, I shallcall theTinbergen pproach.

    The

    major difficulty

    ith

    the

    approach

    lies

    in its basic

    assumption

    of the

    completefixity

    f the

    educational

    requirements

    f

    producing

    a

    given

    ize and

    composition

    of

    national

    income.

    There are

    possibilities

    of

    substitution hich are

    completely

    overlooked.

    We

    cannot

    say

    with

    any

    degree

    of

    confidence

    hat an extra

    $

    1

    million f national

    income in

    a

    certain ector

    equires

    n

    extrabundle

    of,

    say,

    100

    secondary

    educated

    men the

    requirements

    f

    production

    re

    not fixed in this

    way.

    There

    are

    possibilities

    of

    substitution

    etween different

    evels

    of skill

    and

    education, and also betweenhuman resources and physical ones in

    choosing

    between lternativemethods

    f

    increasing

    national

    income from

    4.

    A

    Planning

    odel

    fEducation

    equirements

    fEconomic

    evelopment

    Some

    Comments,

    n

    O.E.C.D.,

    The

    Residualactor nd conomicrowth.

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    4

    A.

    K.

    SEN

    any

    given

    ector.

    The

    fixity

    f educational

    reqiiirement

    s

    not

    supported

    by any very convincingeconomic argument, r by any thingmore

    than

    one or

    two

    fairly

    ausal observations.

    A second

    feature

    f

    the

    Tinbergen pproach

    is

    its

    complete

    concent-

    ration

    on

    formal

    education

    without

    any

    weight

    being placed

    on

    the

    process

    of

    learning

    while

    at work.

    This

    is

    probably

    derived

    from an

    analogy

    with

    physical

    apital,

    but

    unlike

    machines

    men

    do

    learn

    from

    experience.

    The

    rental

    of

    machinery

    ends

    to

    decline

    uniformly

    with

    age,

    but

    precisely

    he

    opposite

    s

    trueof

    human

    beings

    for

    quite

    a

    while

    after

    hey oin

    work5.

    Just

    y

    counting

    he

    number

    f

    secondary-educated

    menwe

    may

    not

    get

    much idea of their usefulness to the industries.

    This

    question

    of

    learning

    s

    an

    important

    ne.

    A thirdweakness

    of the

    Tinbergen pproach

    is

    its

    assumption

    that

    drop-out

    due

    to death

    and retirement

    s a

    given

    proportion

    of the

    last

    period's

    stock

    of

    educated

    manpower.

    This

    requires

    the

    assump-

    tion

    of

    the

    force

    f

    mortality

    nd

    retirement

    eing

    independent

    f

    age,

    and is

    taken

    as

    a

    straightforward

    nalogy

    with

    the

    assumption

    of the

    so-called

    radio-active

    depreciation

    used in

    the

    context of

    physical

    capital.6

    I doubt

    that this

    is

    a

    good assumption

    for

    physical capital,

    but

    for

    human

    beings

    this

    s

    hardly

    olerable.

    The

    chance

    of

    retiring

    or

    dying

    next

    year

    s

    not

    the

    same

    at the

    ages

    of

    20, 40,

    60,

    100,

    200.

    This

    last

    difficulty

    s

    easily

    remediable.

    It

    is

    the

    first that

    mainly

    limits

    he

    Fixed

    Requirements

    Approach

    to

    educational

    planning,

    and

    the second

    difficulty

    dds to it.

    Altogether

    t is

    not

    at

    all

    obvious

    why

    this

    approach

    should

    be taken

    as even

    a first

    step

    in the

    field,

    though

    there is

    no

    doubt

    that models

    of

    this kind

    are

    sometimes

    mplicity

    assumed

    n

    casual

    statements

    f

    political

    leaders. We

    owe,

    I

    think,

    a

    debtofgratitudeo Professor inbergen nd others for formulating he

    models

    rigorously,

    hich

    has

    allowed

    us

    to

    perceive

    ts

    limitations

    which

    are

    not

    so

    obvious

    in

    the

    casually

    made

    statements.

    Their

    works

    have

    cleared

    the

    ground

    forfurthertudies.

    II.

    The

    Income

    Share

    Approach

    This

    approach

    is based

    on

    applying

    the

    marginal productivity

    theory

    f

    distribution

    o the

    economics

    of education.

    If

    it

    is true

    that

    5. See H. S. Houthakker,Education nd Income/'Review f Economicsnd

    Statistics

    February

    959

    G.

    S.

    Becker,

    uman

    apital

    New ork,

    964).

    6.

    See Paul

    A.

    Samuelson,

    Parable nd

    Realism

    m

    CapitalTheory

    The

    Surrogate

    Production

    unction,

    7Yre

    eview

    f

    Economictudies

    June

    962, .

    197

    N.

    Kaldor

    ndJ.

    A.

    Mirrlees,

    A NewModel

    f

    Economic

    rowth,

    bid

    p.

    177.

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    EDUCATION ND

    MANPOWER

    LANNING

    5

    marginal

    productivity

    etermines

    he

    prices

    of

    factors

    of

    production,

    thenwe do not needto measure he marginal productivity irectly, nd

    all we

    have

    to do

    is

    to

    look

    at

    the size

    of

    rental

    of

    the

    relevant factors

    of

    production.

    If

    a worker earns

    $100

    more

    with

    ducation

    of

    type

    x,

    when

    other

    hings

    are

    given,

    then

    it

    can be

    taken,

    according

    to

    this

    approach,

    that his

    marginal

    productivity

    s

    $100

    higher

    s a result

    f

    this

    education.

    This

    provides

    an

    extermly

    empting ay

    of

    by-passing

    the

    complicated

    problems

    f

    estimating

    ducational

    productivity,

    nd it

    is not

    surprising

    hat

    the

    method has been

    grabbed

    with

    onsiderable

    eagerness.

    The

    approach

    has

    been

    used

    by

    T. W.

    Schultz,

    G. S.

    Becker,

    T. Mincerand others n a

    variety

    f studies n the contextof

    specific

    estimations,7

    nd

    somewhat

    more

    heroically

    for

    calculating

    the sources

    of

    economic

    growth

    in the United

    States

    by

    Professor

    endrick8

    nd

    Mr.

    Denison.9

    For a

    glimpse

    at

    how all

    this s

    done,

    we

    may

    look at

    Mr.

    Denison's

    method.

    Mr.

    Denison

    starts

    with

    Professor

    Houthakker's

    figures

    on

    mean

    incomes

    arned

    n the

    United

    States

    before tax

    classified

    nto

    groups

    according

    o

    age

    and

    years

    of

    schooling,

    btained

    from

    the

    1950

    Census

    of Population. From this a set of typical differentialsccordingto

    schooling

    re

    obtained

    for

    males

    of

    the

    same

    age.

    But

    since differences

    in

    schooling

    are

    correlated

    partly

    with

    differences

    n

    ability,

    energy,

    motivation,

    nd

    other

    factors

    that

    will also

    influence

    productivity

    nd

    earnings,

    Mr.

    Denison

    assumes

    that

    three-fifths

    f

    the

    reported

    ncome

    differential

    epresent

    differences

    n

    incomes

    fromwork due to

    differences

    in

    education s

    distinguished

    rom

    associated characteristics .10

    As

    the

    next

    tep

    these

    differentialsdue to

    educational

    change

    are

    applied

    to

    distribution f

    males

    by years

    of school

    completed

    t

    various

    past

    dates,

    and therebyherise n average ncome due to increase n the number of

    school

    years

    completed

    s

    estimated.

    Since

    therehas also

    been a

    rise

    n

    the

    number

    f

    school

    days per

    year,

    some further

    djustments

    re

    needed.

    It

    is

    assumed

    that

    a

    given

    percentage

    increase

    in

    the

    number

    of

    days

    spent

    n

    school

    per

    year

    has the same

    effect s an

    equal precentage

    increase n

    the

    number

    f

    years spent

    n school.

    7.

    See

    particularly,

    he

    Supplement

    n

    Investmentn

    Human

    Beings ,

    f The

    Journal

    f

    Political

    conomy

    October

    962,

    XX,

    No.

    5,

    Part

    .

    8. J.W.Kendrick,roductivityrendsn theUnited tatesNational ureau f

    Economic

    esearch

    Princeton,961).

    9.

    E.F.

    Denison,

    he ources

    f

    Economic

    rowthn heUnited

    tates

    nd

    he

    Alter-

    natives

    efore

    s,

    Committeeor

    conomic

    evelopment

    New

    York,

    1962).

    10.

    Denison,

    .

    69,

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    7/22

    6

    A.

    K.

    SEN

    All

    these calculations

    done,

    Denison finds

    hat

    from

    1929

    to

    1957

    education raised theaveragequalityoflabour by29.6 per cent, or at an

    average

    annual

    rate

    of 0.93

    per

    cent. 11

    The

    next

    question

    s

    how

    much

    effectdid

    this

    rise

    n

    the

    quality

    f the abour

    forcehave

    on

    the

    national

    output.

    Here

    Denison

    make

    some

    further se

    of

    marginalproductivity

    theory.

    Since the

    average

    share

    of labour in

    the

    national

    income

    over

    this

    period

    was 73

    per

    cent,

    t

    is

    concluded that

    the

    elesticity

    of

    output

    with

    respect

    o

    labour

    is

    0.73.12

    Thus,

    Denison

    concludes,

    that

    the

    average

    annual rate

    of rise

    of 0.93

    per

    cent of the

    quality

    of

    labour

    force,

    would have

    increased

    the national

    product

    by

    0.68

    percentage

    points

    per year

    being

    73

    per

    centof

    0.93).

    And thisamountsto saying

    that of the

    total

    growth

    of

    2.33

    per

    cent

    per

    year

    n the

    United

    States,

    as much

    as

    23

    per

    cent

    was due

    to

    improvement

    n education

    (since

    0.68

    is

    23

    per

    cent

    of

    2.93).

    The

    figure

    s

    even

    more

    mpressive

    f

    we look

    at

    product

    per

    capita,

    and

    it

    turns

    out from his

    calculation

    hatno

    less

    than

    42

    per

    cent

    of

    the

    growth

    ate

    n

    the

    product

    per

    person

    employed

    was due to the contribution

    f

    further

    ducation.

    This in nut-shell

    s

    Denison's

    approach

    in

    measuring

    the

    contri-

    butionofeducation o pastgrowth. He goes on to usethe ameapproach

    to

    measuring

    he

    ikely

    ontribution

    f

    education

    to future

    growth.

    One

    gets

    an

    estimate

    of how

    any

    scheme

    of

    educational

    mprovement

    ill

    affect

    he

    national

    productivity,

    nd

    depending

    n our

    values

    and

    goals

    we

    can

    accordingly

    elect

    n

    appropriate

    ducational

    policy.

    One can

    make

    several

    riticisms

    f the Denison

    approach.

    Some of

    these

    concern his

    specific

    assumptions,

    while

    others

    re

    common

    o

    the

    approach

    of

    getting

    igures

    f

    productivity

    ndirectly

    from

    the

    earning

    figures,

    nvolving

    crucial

    use

    of

    the

    marginal

    productivity

    heory

    11.

    Denison,

    .

    73

    12.

    The

    argument

    s

    wellknown,

    ut

    an

    be

    pelled

    ut

    here.

    et

    Y=output,

    =wage

    rate,

    =employment,

    nd

    m=the

    hare

    f

    wages

    n

    national

    utput.

    Now,

    we

    0Y

    know rom

    he

    marginalroductivity

    ssumption

    hat

    w=

    -

    0L

    w.L

    8Y/

    Y

    Therefore,

    =

    which

    s the

    definition

    f

    elasticity

    f

    output

    with

    espect

    o abour.

    Hence

    f

    73

    per

    ent

    s

    the

    share

    of

    wages

    n

    national

    income,1per ent ise nthe abourforcewill

    increase

    he

    national

    utput

    by

    .73

    er

    ent. It

    must,

    owever,

    e rememberedhathis esult illbe true

    only

    for

    marginally

    mall

    changes,

    nd

    application

    f

    his

    or

    ig

    hanges

    an

    be

    made

    only

    with the

    further

    ssumption

    f unit

    elasticity

    f

    substitution

    between

    he

    actors

    f

    production,

    .e.,

    of

    Cobb-Douglas

    roduction

    unction.

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  • 8/18/2019 Author(s) Amartya K. Sen - Economic Approaches to Education and Manpower Planning

    8/22

    EDUCATION ND MANPOWER

    LANNING

    7

    postulates.

    Here we

    may

    mention

    mainly

    the more

    general objections,

    and formorespecific ifficultiesbout theDenison approach the reader

    could

    be referredo ProfessorMoses

    Abramovitz's

    ritical valuation.18

    The

    fulfilmentf the

    marginal

    productivity

    heory

    equires

    variety

    of

    assumptions,

    many

    of

    which have been

    widely

    discussed

    from he

    point

    view

    of

    their

    ealism. Some of us

    continue o

    remain

    very skeptical

    of

    the

    assumptions

    of the

    theory,14

    ithout

    necessarily eing

    enamoured

    f

    the more

    widely

    discussed

    lternative

    models,

    e.g.,

    that

    of Mr. Kaldor.15

    This

    whole area of economics

    eems to be in such

    a

    bad

    shape

    that

    any

    big policy

    decision

    based

    on the

    extremely

    estrictive

    ssumptions

    f these

    theories an be viewedwith onsiderable

    uspicion.

    In these

    applications

    of the

    marginal productivity

    heory,

    the

    temptation

    s

    provided

    by

    the

    fact

    that

    t short-circuitshe

    need

    .for

    an

    independent

    measurement f

    productivity,

    which

    is

    very

    difficult,

    nd

    instead

    one can

    happily

    use

    the

    income

    data,

    which

    is

    very easy

    to

    obtain.

    But

    precisely

    because

    marginal

    productivity

    s

    so

    difficult

    o

    measure,

    we

    cannot

    easily

    verify

    the

    theory

    y

    actual statistical

    bservations,

    o

    that

    the entire

    approach

    is based on

    a

    gigantic ssumption

    ather than on

    empirical

    verification.

    Indeed in so far as theunderlying ssumptions f the theoryhave been

    put

    to

    test,

    e.g.,

    the

    assumptions

    of

    perfect competition,

    of

    perfect

    foresight,

    f

    profitless quilibrium

    the results have

    been

    far from

    encouraging,

    and

    the

    continued

    popularity

    of the

    theory

    in these

    estimates

    can

    perhaps

    largely

    be

    explained

    by

    the

    simplification

    of these

    calculations that one

    heroic

    assumption

    like

    this

    allows

    one

    to make. I am

    not

    altogether pposed

    to

    yielding

    to

    temptations,

    but

    the

    ease with

    which economists ike Denison

    make

    the

    validity

    f

    marginal productivity heory

    almost

    a

    part

    of

    a

    latter-day

    Gospel,

    distractsfrom hehighqualityof theirworks nd thepainstaking rouble

    which

    hey

    ake over the other

    ssumptions

    hey

    make.

    There

    s,

    in

    fact,

    more

    difficulty

    n

    Denison's

    approach

    than

    the

    simple assumption

    of

    marginal

    productivityheory. (In

    this

    respect

    we

    have

    been

    a

    little nfair n

    lumping

    ll the uses of

    this

    theory together.)

    Denison also assumes

    the

    existence

    f

    economies of

    scale,

    and

    as much as

    17

    per

    cent of

    the

    growth

    of

    per capita

    income in the United

    States

    13.

    Economic

    Growth

    n

    the

    United

    tates ,

    The

    American

    conomic eview

    September962, ol.LII,No. 4.

    14.

    Some

    f

    my

    wn

    eservationsre

    stated

    n

    mynote,

    Neo-Classicalnd Neo-

    Keynesian

    heories f

    Distribution,

    conomic

    ecord,

    arch

    963.

    15. N.

    Kaldor,

    Alternative

    heoriesf

    Distribution ,

    eview

    f

    Economic

    tudies,

    1955-56.

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  • 8/18/2019 Author(s) Amartya K. Sen - Economic Approaches to Education and Manpower Planning

    9/22

    g

    A.

    K. SEN

    during

    1929-57 s attributed

    y

    him

    to

    such economies. This raises some

    questions. Firstofall, were these economies internalor external If

    internal,

    the factors could

    not have been

    paid according

    to

    their

    respectivemarginal roducts,

    ecause

    thatwould have

    exhaustedmore

    than

    the

    total

    output.

    On the

    other

    hand,

    if these

    economies

    were external

    thenfactorreward an

    equal

    private

    marginal

    product,

    but will fall

    short

    of the

    appropriate

    ocial

    marginal

    roduct.

    Thus one would

    be

    misled

    by

    taking

    he additional

    earnings

    due

    to education as indicators

    f additional

    contribution f

    education

    to national

    as

    opposed

    to

    private)

    productivity.

    No matter

    which

    assumption

    s

    made,

    once

    increasing

    returns

    to

    scale

    is introduced nto the picture, he rationaleof the ncomeapproachto

    productivityets

    a severe

    jolt.

    Thus,

    the

    approach

    here

    is not

    only

    open

    to the

    charge

    of

    being

    unrealistic n

    assuming

    he

    validity

    f the

    marginal

    productivity

    heory,

    it is

    also

    open

    to the

    charge

    of

    being

    internally

    nconsistent.

    Two other

    questions

    can be raised here.

    All

    these works

    draw

    heavily

    on

    an article

    by

    ProfessorRobert

    Solow,16

    who

    seemed

    to

    have

    meant

    he

    paper

    rather

    ess

    seriously

    han

    the rest

    of the world

    has taken

    it. And as Solowhas pointed ut in his laterworks,

    7

    lookingmerely

    at

    income shares tends to under-estimate the

    contribution

    f

    capital

    accumulation to

    economic

    growth,

    ince new

    techniques

    nd the

    fruits

    f

    progress

    f

    knowledge

    can

    be

    absorbed

    mainly

    through

    the

    vehicle

    of

    capital

    investment.

    Thus

    the

    contribution

    f

    gross

    apital

    investment

    n

    the

    determination

    f

    growth

    s much

    higher

    n Solow's

    later

    estimates

    han

    in

    thatof

    Denison.

    A second

    point

    to note s that

    when

    learning

    by doing

    is

    intro-

    duced,

    we

    have

    a

    divergence

    etween

    private

    nd social

    product,

    which

    has beenanalysedbyProfessorArrow,18nd this type of consideration

    is also left ut

    by

    Denison's

    approach.

    But

    even

    apart

    from

    hese

    rather

    subtle

    but

    important omplications,

    the

    basic

    approach

    of

    avoiding

    productivity

    stimates

    y

    looking

    t income

    shares

    seems

    to

    be

    dubious,

    particularly

    hen the existence

    f economies

    of

    large

    scale

    are

    assumed

    simultaneously.

    We

    have concentrated

    mainly

    n

    Denison's

    works.

    In

    16.

    Technical

    hange

    nd the

    Aggregate

    roduction

    unction ,

    he

    Review

    f

    Economicnd

    tatistics,ugust

    957.

    17. ««Investment

    nd

    Technical

    rogress ,

    n

    K.

    J.

    Arrow,

    .

    Karlin,

    nd P.

    Suppes

    (eds.),Mathematicalethodsn ocial ciencesStanford,alif., 960 Techni-

    cal

    Progress,

    apital

    ormation

    ndEconomic

    rowth ,

    heAmerican

    conomic

    Review,

    roceedings,ay

    1962.

    18. «'The

    conomic

    mplications

    f

    Learning

    y

    Doing

    ,

    The Review

    f

    Economic

    Studies,

    une

    962.

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  • 8/18/2019 Author(s) Amartya K. Sen - Economic Approaches to Education and Manpower Planning

    10/22

    EDUCATION

    ND

    MANPOWER

    LANNING

    9

    some

    respects

    he

    ess

    ambitious

    works

    of

    Schultz, Becker,

    Mincer,

    and

    othershave beenmuchmore convincing. The Income Share Approach

    has

    contributedmuch

    to

    the

    study

    of economics

    of

    education,

    but

    its

    limitations o not

    seem to

    be

    adequately

    mphasized

    n some

    of the more

    publicized

    works f this school.

    III.

    Human Resource ndicators

    In

    contrast o theheroic

    ttempts

    f

    the

    Fixed

    Requirement

    chool

    and

    of

    the

    ncome

    share

    approach,

    the

    recent

    ttempt

    y

    Professors

    Harbison

    and Myersto constructnd use some simple quantitative ndicatorsof

    human

    resource

    development

    must

    ppear

    to

    be

    a

    pedestrian

    xcercise.19

    But

    partly

    or

    he same

    reason,

    their

    ttempt

    s

    likely

    to mislead

    people

    less

    about

    the

    state we have reached

    in the

    complicated

    field

    of

    edu-

    cational

    planning.

    Their

    approach

    consists

    of

    compiling

    very

    valuable

    collection of

    data

    on

    educational

    and

    related

    fields,

    nd in

    trying

    o

    see

    whether

    ome

    ndices

    f

    human resource

    evelopment

    an be formedfrom

    these

    data,

    and

    whether

    ome use can

    be

    made

    of

    these

    ndices.

    Since

    I

    shall

    claim below

    that

    n

    certain

    espects

    Harbison

    and

    Myersmisinterpret

    the

    significance

    f

    their

    wn

    indices,

    should

    ike

    to

    make

    it

    very

    clear

    straightaway

    hat do

    regard

    heir

    ainstaking

    work to

    be

    a

    path-breaking

    one in

    the

    field

    of

    nternational

    omparisons.

    With a

    great

    deal of

    research

    Professors Harbison

    and

    Myers

    have

    compiled

    nternational ata

    on

    the

    following

    even human

    resource

    indicators .

    1.

    Number

    of

    teachers

    first

    nd

    second

    levels)

    per

    10,000

    population.

    2.

    Engineers

    nd

    scientists

    er

    10,000

    population.

    3. Physiciansnd dentists er 10,000population.

    4.

    Pupils

    enrolled t

    first-level

    primary)

    ducation

    s

    a

    precentage

    of

    the

    estimated

    opulation ged

    5

    to

    14 inclusive.

    5.

    The

    adjusted

    school

    enrolment

    atiosfor

    first

    and

    second

    levels

    combined.

    6.

    Pupils

    enrolled

    t

    second-level

    secondary)

    ducation

    as

    a

    precentage

    of

    the

    population

    estimated

    ged

    15

    to 19

    inclusive,

    adjusted

    for

    length

    of

    schooling.

    7. Enrolmentn third-levelhigher ducation as a percentage of the

    age

    group

    20

    to

    24.

    19.

    F.

    Harbisonnd

    C.A.

    Myers,

    ducation,

    anpower

    nd

    Economic

    rowth

    New

    York,

    964).

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    11/22

    10

    A. K.

    SEN

    In

    addition

    wo

    indicators

    f

    the

    orientation

    f

    higher

    education

    are used

    1. The

    percentage

    of students enrolled

    in

    scientific

    nd technical

    faculties

    n a

    recent

    year.

    2. The

    percentage

    f students

    nrolled n faculties n

    humanities,

    fine

    arts and law in the

    same

    year.

    These

    latter

    wo

    indices

    ould

    be

    compiled

    for

    many

    of the

    seventy-

    five ountries aken

    up

    in

    this

    study,

    ut

    not for all of them. Harbison

    and

    Myers

    have

    a

    lot

    of

    interestinghings

    to

    say

    in

    detail about the

    edu-

    cational

    policies

    of these

    countries,

    ut

    what

    perhaps

    stand out as

    their

    chief ontributiono this field s theiruse of what

    they

    all the

    composite

    index of levels

    of human resource

    development.

    This

    series is

    constructed

    rom tems

    and 7 of the

    first

    ist,

    i.e.,

    enrolment atios t

    the

    second

    and

    the third level.

    The

    composite

    index

    is

    simply

    the

    arithmetical otal

    of

    (i)

    enrolment

    at second

    level of education as

    a

    percentage

    of the

    age-group

    15 to

    19,

    adjusted

    for

    ength

    f

    schooling,

    and

    (ii)

    enrolment t

    the

    third evel

    of education as

    a

    percentage

    of

    the

    age-group

    0 to 24

    multiplied by

    a

    weight

    of

    5.

    If we refer o

    (i)

    as

    s,

    and (ii) byt, the human resource ndex, s

    :

    I

    =

    s+5.t

    Then all

    countries

    in the world are

    classified

    into

    four

    groups

    ( underdeveloped ,

    partiallydeveloped ,

    semiadvanced ,

    nd

    advanc-

    ed ),

    the results f which

    re

    quoted

    n Table I below.

    We

    also

    mention

    the

    per capita

    G.N.P.

    of

    these ountries.

    Table

    I

    Harbison-and-Myers' anking fCountriesbyComposite ndex

    of

    Human

    Resource

    Development

    and their

    GNP Per

    Capita

    Composite

    ndex

    Level I

    :

    Underdeveloped

    Niger

    0.3

    N.A.

    Ethiopia 0.7 55

    Nyasaland

    1.2

    60

    Somalia 1.6

    50

    Afghanistan

    1.9

    50

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    EDUCATION ND MANPOWERLANNING 11

    Compositendex

    Saudi

    Arabia

    1.9

    170

    Tanganyika

    2.2 61

    ivory

    Coast

    2.6 N.A.

    N.

    Rhodesia

    2.9

    150

    Congo

    3.6 92

    Liberia

    4.1

    100

    Kenya 4.7 87

    Nigeria

    5.0

    78

    Haiti

    5.3

    105

    Senegal

    5.5

    N.A.

    Uganda

    5.5

    64

    Sudan

    7.5

    60

    Level

    II :

    Partially

    Developed

    Guatemala

    10.7 189

    Indonesia 10.7 131

    Libya

    10.8

    60

    Burma

    14.2

    57

    Dominican

    Republic

    14.5

    239

    Bolivia

    14.8

    99

    Tunisia

    15.2

    173

    Iran

    17.3

    108

    China

    (Mainland)

    19.5

    73

    Brazil

    20.9

    293

    Colombia 22.6 263

    Paraguay

    22.7

    114

    Ghana

    23.2

    172

    Malaya

    23.6

    356

    Lebanon

    24.3

    362

    Ecuador

    24.4

    189

    Pakistan

    25.2 70

    Jamaica

    26.8

    316

    Turkey

    27.2 220

    Peru 30.2 179

    Iraq

    31.2

    156

    Level III

    i

    Semiadvanced

    Mexico

    33.0

    262

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    Ì2

    A

    K. SEN

    Compositendex GNP Per Capita

    (U.S.

    dollars)

    Thailand

    35.1

    96

    India

    35.2

    73

    Cuba

    35.5

    431

    Spain

    39.6

    293

    South

    Africa

    40.0

    395

    Egypt

    40.1

    142

    Portugal

    40.8

    224

    Costa Rica 47.3 357

    Venezuela

    47.7

    648

    Taiwan

    48.4

    161

    Greece

    48.5

    340

    Chile

    51.2

    379

    Hungary

    53.9

    490

    South Korea

    55.0

    144

    Italy

    56.8

    516

    Yugoslavia

    60.3

    265

    Poland 66.5 475

    Czechoslovakia

    68.9

    680

    Uruguay

    69.8

    478

    Norway

    73.8

    1,130

    Level IV : Advanced

    Denmark

    77.1

    1,057

    Sweden 79.2

    1

    380

    Argentina

    82.0

    490

    Israel

    84.9

    726

    WestGermany 85.8 927

    Finland

    88.7

    794

    U.S.S.R.

    92.9

    600

    Canada

    101.6

    1,947

    France

    107.8

    943

    Japan

    111.4

    306

    United

    Kingdom

    121.6

    1,189

    Belgium

    123.6 1,196

    Netherlands

    133.7

    836

    Australia

    137.7 1,316

    New Zealand 147.3 1,310

    United

    States

    261.3

    2,577

    Source

    -

    Harbison and

    Myers,

    Table

    5,

    pp.

    45-48.

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    EDUCATION ND MANPOWER

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    13

    Harbison

    and

    Myers

    find

    that the

    composite

    ndex

    is

    highiy

    correlated withGNP per capita, thoughof course individual xceptions

    are

    clearly

    visible

    in the

    table.

    The correlation oefficient

    urns

    out to

    be

    .888,

    which

    s

    quite

    remarkable

    or

    such

    a

    large

    number f countries.

    It

    is,

    however,

    omewhat curious

    hat

    within

    ach level of

    human

    resource

    development,

    the correlation coefficientsre

    a

    great

    deal

    lower,

    viz.

    .025

    for

    Level

    I,

    .373

    for Level

    II,

    .574 for

    Level

    III,

    and .692 for

    Level

    IV. The relation is

    particularly

    weak for

    lower

    levels,

    and

    get

    stronger

    s we

    move

    to

    higher groups.

    This indicates

    some

    cause

    for

    considerable

    aution n

    interpreting

    he

    data,

    but it

    also

    seems to

    implythat the relation is a

    stronger

    ne over

    big changes

    than overnarrow

    variations

    within

    ach

    group,

    particularly

    he

    ow

    groups.

    Another

    nteresting

    eature to note is that the

    average

    value of

    the

    index rises

    much faster han GNP

    per

    capita

    between Levels I and

    II,

    somewhat

    faster

    etween Levels II

    and

    III,

    and slower between

    Levels

    III and IV.

    The

    average

    value of the

    composite

    index

    and

    of the GNP

    per

    capita

    are

    shown

    n Table

    II,

    below.

    Table II

    ArithmeticMeans of

    Composite

    ndex

    of Human

    Resource

    Development

    nd of GNP

    Per

    Capita

    (Level-wise)

    Composite

    ndex

    GNP Per

    Capita

    ($)

    Level

    I

    (17 countries)

    3

    64

    Level II

    (21

    countries)

    21

    182

    Level III

    (21

    countries)

    50

    380

    Level

    IV

    (16

    countries)

    115

    1,100

    Source

    : Harbison

    and

    Myers,

    Table

    2,

    p.

    38.

    Harbison

    and

    Myers nterpret

    his

    to mean that the

    highest

    rates

    ofhumandevelopmenthould be made bycountriesn Levels I and II. 20

    We do not have

    the

    opportunity

    here of

    going

    into

    the

    details

    of

    the

    analysis

    of

    Harbison and

    Myers,

    but t is

    necessary

    o have a

    quick

    20. Harbisonnd

    Myers,

    .

    37.

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    14

    A. K. SEN

    look

    at the

    meaning

    nd

    interpretation

    f their

    composite

    index.

    An

    obviousquestion to ask is why houldwe choose theweight of5 to put

    together

    hethird-levelnrolment

    atio with the second-level

    enrolment

    ratio

    why

    not

    some other

    weight, ay,

    3 or

    7

    or

    anything

    else

    ? The

    authorsdo not defend their

    ystem

    of

    weighting,

    ut we

    can think

    f

    a

    number of alternative

    ways

    of

    proceeding

    in this

    question

    of

    weight-

    selection. Since Harbison

    and

    Myers

    seem

    to

    regard

    this index to be

    some

    kind

    of

    a

    guide

    to human

    resource

    development

    n the

    production

    side

    (an assumption

    that

    we shall examine

    presently),

    one

    possible

    method will

    be to

    compare

    the

    productivities

    f the two

    groups

    of

    educated

    people

    at themargin. But the productivity igures o notexist

    in

    this

    form,

    and in

    any

    case one

    would

    expect

    thisratio to

    vary

    greatly

    between

    the countries. In

    so far as there are

    earning

    figures,

    he

    differential

    eems to

    be

    a

    great

    deal

    less

    than 5 in most countries.21

    We

    need not

    take the

    earning igures

    s

    good guides

    to

    productivity

    n view

    of our earlier

    discussion ut it

    is

    not

    easy

    to think f some otherbasis

    for

    ustifying

    he

    weight

    f

    5.

    In

    fact,

    the exercise

    implies

    an economic

    problem

    f

    interpreta-

    tion that

    may

    be somewhat

    moredifficulto

    get

    at

    than a

    purely

    tatistical

    problem

    f what

    weighting

    maximizesthe correlation etween the index

    and

    GNP

    per capita.

    It

    is this last

    problem

    hat

    Dr.

    R

    Sundrum

    has

    posed

    in

    an

    unpublished

    note,

    and it turns out that

    a

    weight

    of 5.9

    maximizes the

    correlation coefficient

    etween

    the

    combined index

    nd

    the

    GNP

    per

    capita.22

    I would

    guess

    that considerations

    of this kind

    probably

    did

    influence

    arbison

    and

    Myers

    n their etermination

    f the

    weight

    of

    5,

    because the

    corresponding

    orrelationcoefficient s

    quite

    close

    to the maximum.

    In

    fact,

    he result

    s

    rather nsensitive

    o

    changes

    in theweight,as the variables involved move moreor less in the same

    way,23

    and near the maximum

    the

    sensitivity

    ill

    naturally

    e

    relatively

    small.

    But even

    f we take a

    purely

    tatistical

    xplanation

    f the determi-

    nation

    of the

    weight,

    there is

    an

    economic

    question

    involved

    in

    interpreting

    he index tself.

    To make

    any

    use of it we must attribute

    21.

    Denison's stimates

    ndicatehat he atio of

    mean

    ncome

    f

    collegegraduates

    to

    high-school-finishers

    n theU.S.A. s around .68 The

    ources,

    able

    8, p.

    68),

    a

    figure

    owhere

    ear .

    22 R. M.Sundrum,Note on Harbison ndMyers' ompositendexof Human

    Resource

    evelopment ,

    imeographed,

    sian nstitute

    1964).

    23.

    In fact ll the ndicatorseem

    o

    move

    more r ess n he ame

    direction,

    hich

    Harbison

    nd

    Myers

    ake s demonstration

    f he usefulness

    f the

    composite

    index

    s a discriminator

    p.

    37).

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    EDUCATION

    ND MANPOWERLANNING

    15

    some clear economic

    meaning

    o the

    ndex.

    And

    here

    find

    myself

    n

    some considerable isagreementwithHarbison and Myers. For them he

    index seems

    to

    stand for some

    kind of a

    guide

    to the stock of

    human

    resources,

    whereas

    s far

    as I

    can see it tells us

    nothing

    more thanthe

    rate

    at

    which

    people

    are

    making

    dditions

    to the stock. What

    proportion

    of

    people

    today

    s

    receiving

    ducation

    of a

    given type

    need

    not bear

    any

    close

    (not

    to

    mention

    roportional)

    relation

    between the stock

    of

    people

    with this kind

    of

    education. Yet

    this

    is

    precisely

    what the authors

    implicitly

    ssume in their

    interpretation

    f the

    indices.

    To

    give

    an

    instance,

    the authors indicate that

    for

    example,

    a

    particular country

    may

    have a low

    composite

    index and a much

    higher

    GNP

    per capita

    because of

    richnaturalresources. 24

    But the

    composite

    ndex

    s

    not

    one

    of

    the stockof educated

    manpower,

    nd

    there

    s no

    argument

    or

    treating

    it as

    such. On the

    production

    side,

    the

    composite

    index tells us

    nothing

    whatever bout withGNP

    per capita

    to

    expect.

    It

    seems

    to

    me that the best

    way

    of

    explaining

    the relationbetween

    the

    composite

    ndex

    and the GNP

    per capita

    that Harbison and

    Myers

    observe,

    is to take it as a

    consumption

    relationship.

    Depending

    on

    currentprosperity,decisions may be taken by individuals and the

    governments

    n how much to

    spend

    on education. We

    can

    expect

    the

    flow

    f

    current ducation will

    depend very

    much more

    on

    thiskind

    of

    GNP

    per

    capita

    consideration,

    han

    GNP

    per capita

    itselfwill

    depend

    on

    the flow of

    current

    education,

    n

    the

    production

    side.

    However,

    this

    point

    bout

    consumption

    elations should not be made

    too much

    of,

    as

    even

    here

    the

    relationship may

    be far

    from

    rigid

    one,

    and the

    high

    correlation etween

    the index and

    GNP

    per

    capita,

    on which all this

    speculation

    is

    based,

    is not free

    from,

    as we have

    mentioned

    efore,

    a

    certain amount of suspicious features. However, we can have some

    discussion

    on

    the

    consumption

    versus

    the

    production

    aspects,

    ven on

    the basis of

    more

    or

    less

    pure

    theory,

    and it can be

    pointed

    out that

    if we

    expect any

    relation

    between he

    proportions

    of

    students

    schooling

    and the GNP

    per

    capita

    on the

    production

    ide,

    t should

    be

    between

    he

    proportions

    now

    and

    the ncrease in

    production

    ome

    years

    later.

    The

    relationship

    mustbe one of a

    stock-flow ind with time

    ag,

    rather han

    of a

    flow-flow ind without time

    ag.

    It

    might

    be

    thought,

    however,

    that there

    may

    be

    such a close

    relation etween ducational tock and the flow of studentstoday, that

    one

    can

    be

    taken

    roughly

    as

    an

    index of the

    other. We have not

    got

    much data to

    confirm r contradict

    the

    picture,

    though theoretically

    24. Harbisonnd

    Myers, .

    41.

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    Í6

    A.

    K.

    SEN

    there

    is no

    convincing

    reason

    why

    this should

    be

    the

    case.

    Some

    international ata on the stock of educatedpeoplerelated o GNP can

    be

    found in an

    unpublished

    paper

    of

    Mr.

    L.

    J.

    Emmerij.25

    These

    concern countries

    nly,

    but

    it

    is

    interesting

    o

    compare

    the

    ordering

    of

    the

    educational

    flow

    ratios and the

    educational

    tockratios for

    hese

    9

    countries. The flow atios

    re

    all

    computed

    rom Harbison

    and

    Myers's

    Table

    5,

    using

    columns on

    Per

    Capita

    GNP,

    US

    Dollars,

    Enrolment

    Ratios:

    2d

    Level

    Adj. ,

    and

    Enrolment Ratios:

    3d

    Level

    Unadj.

    Harbison nd

    Myers's

    composite

    ndex

    is of course

    made

    out of

    these

    last two columns. The

    number

    of

    secondary

    ducated

    men and that of

    third-levelducatedmen each perunit ofGNP, i.e., the stockfigures, re

    taken

    simply

    from

    Emmerij's

    calculations.

    Table

    III

    gives

    the

    com-

    parison

    of the

    orderings

    f

    the

    secondary

    tock

    and flow

    ratios

    and Table

    IV

    thatof third-level

    tock

    and

    flow atios.

    Table

    III

    Orderings

    f

    Secondary

    Education

    Stock

    and Flow

    Per

    Unit

    of GNP

    Number

    f

    Ratio

    of

    Second

    Second-level level

    Enrolment

    Ordering f Ordering

    f

    Countries Educated Men Ratio

    to

    GNP

    Emmerij's

    H-M Flow

    Per

    Unit

    f

    Per

    Capita

    Stock

    Ratios

    Ratios

    GNP

    {Emmerij) (H-M)

    Venezuela

    1.5

    4.04

    1

    3

    France 3.3

    6.24

    2

    6

    Italy

    5

    6.74

    3/4

    7

    Canada 5 2.80 3/4 1

    Brazil

    5.7

    4.40

    5

    4

    U.S.A. 6.3

    3.70

    6

    2

    Costa

    Rica

    7.5 8.07

    7

    8

    Colombia

    8.2 5.17

    8 5

    India

    10.7

    33.15

    9

    9

    25.

    I am

    very

    rateful

    o Mr.

    Emmerij

    o allow

    me

    to

    quote

    the

    data

    in

    my

    note,

    A

    Planning

    Model

    of

    Education

    equirements

    f Economic

    evelapment

    Some

    Comments,

    .E.C.D.,

    op.

    cit.,

    able

    .

    Emmerij's

    iguresive

    he

    data

    up to differentumbersf decimal pointsdepending n the variationsin the sources nd the

    quality

    of the data. We have

    multiplied

    he

    Emmerij

    atios

    y

    100

    for

    asy

    comparability,

    ithout

    f course

    hanging

    he

    relative

    roportions.

    he

    years

    of

    reference

    or the different

    ountries

    re

    Venezuela

    1950),

    France

    1954;,

    taly

    1951),

    Canada

    (1951),

    razil

    1950),

    U.S.A.

    1950),

    osta

    Rica

    1950),

    olombia

    1950),

    nd ndia

    1955).

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    EDUCATION ND MAMPOWER

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    17

    In

    spite

    of some similarities hat the

    orderings

    are

    completely

    differentn the two cases should be obvious byglancing t thetable.

    Also

    the

    quantitative

    atios

    re

    significantly

    ifferent.

    Tablb

    IV

    Orderings

    f

    Third-level

    ducation

    Stock and Flow

    Per Unit of GNP

    Number

    f

    Ratio

    of

    Third-

    Third-level levelEnrolment Ordering f Ordering fCountries

    Educated Men

    Ratio to

    GNP

    Emmerij's

    H-M Flow

    Per

    Unit

    of

    Per

    Capita

    Stock Ratios

    Ratios

    GNP

    {Emme

    ij)

    (H-M)

    Venezuela

    0.45

    0

    66 1 3

    France

    0.9

    1.04

    2

    6/7

    Colombia

    1.0 0.68

    3

    4

    Brazil

    1.1

    0.55

    4

    2

    Canada

    1.2

    0.48

    5

    1

    U.S.A. 1.4 1.29 6 8

    Costa

    Rica 2.0

    1.04

    7

    6/7

    Italy

    2.2 0.85 8 5

    India

    2.6

    3.01 9

    9

    Here

    again

    the

    orderings

    are

    very

    different

    etween stocks

    nd

    flows,

    o

    that

    any generalizations

    bout

    contribution f education o GNP

    cannot

    easily

    be

    based

    on the flow

    figures.

    Also no

    immediate onclusion

    can be

    drawn bout which ountries

    may

    need to

    make

    major

    effort

    in investment n the developmentof human resources p. 37), on the

    basis of the flow

    data alone.

    The

    point

    that is

    being

    considered

    erecannot

    be

    treated s one of

    only

    academic interest.

    For

    example,

    let us examine

    Harbison and

    Myers's

    method of

    constructing

    he

    index

    only

    from

    econd-level nrol-

    ment

    ratios,

    eaving

    out

    primary

    education. The

    rationale for this is

    based

    on

    the

    relatively

    ower

    correlation coefficient etween

    primary

    enrolmentratio and

    GNP

    per

    capita,

    which is

    only

    .668

    for

    these

    countries. This allows

    Harbison and

    Myers

    to

    confirm

    hat an

    index

    based on higherlevels of education correlatesmore significantlyith

    measures f

    economic

    development

    han one

    based on the lowest

    level

    of

    education. 26 This

    may

    well

    be

    the

    case,

    but this

    argument

    ertainly

    26. Harbison

    nd

    Myers, .

    40,

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    18

    Ar K. SEN

    cannotbe

    derived rom he low correlation

    with

    the

    primary

    enrolment

    ratio. One has to look at someother ndex, uchas theproportion f

    first

    evel

    educated

    men in total

    population

    to

    see

    whether

    primary

    education correlates

    significantly

    ith GNP

    per

    capita

    or

    not. Indeed

    it

    is

    possible

    to

    argue

    that n most countries

    rimary

    ducation

    has be-

    come

    such

    an

    important

    minimal

    equirement

    of civilized existence

    that

    they try

    to make the

    enrolment

    atio

    as

    high

    s

    possible,

    without ndue

    consideration

    f

    national

    ncome.

    (The

    limitations

    hat

    are

    there

    arise

    mostly

    from

    non-income

    considerations.)

    But

    this

    will affect

    he stock

    of

    primary

    educated

    persons

    only

    in

    the

    rather

    long

    run,27

    and

    its

    consequences

    on the national income, which

    may

    be more

    significant

    thanotherkinds

    of

    education

    for a

    number

    of

    countries,

    will

    be seen

    only

    in

    the

    long

    run.

    Thus

    the

    ow

    correlation etween

    primary

    nrol-

    ment atio and GNP

    per

    capita

    tells us

    very

    litlle

    about

    the

    importance

    of

    primary

    education as

    an indicator

    of

    human

    resource

    development.

    And

    it

    is

    in fields ike this

    hat there s

    a

    genuine

    hance

    of

    basing

    policy

    on

    wrong

    onclusions

    drawn

    from he

    H-M indices and

    the

    corresponding

    correlation

    oefficients.

    Finally,

    in some

    of

    the

    statements

    f

    Harbison

    and

    Myersthey

    give

    the

    mpression

    s

    if

    they

    have

    at

    the back

    of their mind

    a

    model

    of

    educational

    planning

    almost like that

    of

    Tinbergen

    nd Correa.

    Take

    their

    onclusion,

    uoted

    a little bit

    eailier,

    that

    it is

    clear

    that the

    highest

    rates of

    human

    resource

    development

    hould

    be made

    by

    the

    countries

    n

    Levels

    I

    and

    II. 28

    This

    is

    based on

    the

    simple ground

    that

    the

    composite

    index rises

    relative

    o

    GNP

    per

    capita

    a

    great

    deal

    faster

    betweenLevel I

    and Level

    II,

    and

    between

    Level II

    and

    III,

    compared

    with

    that

    between

    Levels III

    and

    IV.

    Quite apart

    from he fact

    that

    thesedata giveno indicationwhateverabout the amount of eifortthe

    Level IV countries

    should

    spend

    on

    this,

    ompared

    withLevels

    I and II

    countries,

    ven the

    comparison

    with

    Level

    III

    is not

    quite legitimate

    unless

    one

    makes

    the

    assumption

    hat

    the

    pattern

    of

    relationship

    etween

    national

    income

    and

    educational

    resources

    is

    a

    unique

    one,

    so

    that

    a

    movement

    rom

    evel

    I GNP

    to Level

    II

    GNP cannot

    take

    place

    without

    accumulating

    he amount

    of

    average

    educational

    stock

    as

    in

    Level

    II

    ;

    27.

    It

    must

    lso

    be

    noted

    hat

    ny djustment

    f

    primary

    ducational

    low

    ffects

    the

    otal

    izeof

    he tock ather

    ore

    lowly

    han

    djustment

    n

    second

    r

    thirdlevelflows.Thisis becausetheexpectationf life fterompletingrimary

    education

    s

    considerably

    onger

    han hat fter

    ompleting

    econd r

    thirdevel

    education.

    28.

    Harbison

    nd

    Myers

    p.

    37.

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    EDUCATION ND

    MANPOWERLANNING

    19

    and

    similarly

    etween I and

    III.

    Without

    ssuming

    something pproxi-

    matinga unique relation between education and incomesuch recom-

    mendations annot be made.

    I

    must

    onfess hat

    find

    myself ery

    much

    more in

    sympathy

    with

    the

    Harbison-Myers

    method of

    collecting

    and

    presenting

    information

    and

    constructing

    ndices,

    han with he use

    they

    make of

    these

    indices.

    Particularly

    he

    problem

    of stock

    and

    flow,

    hat of the

    consumption

    nd

    the

    production ide,

    the

    question

    of

    weighting,

    he

    non-sequitur

    on

    the

    importance

    of

    primary

    education,

    and the

    mplicit

    ssumption in

    some

    of the

    statements)

    f an

    approximate nique

    relation

    between ncome and

    education,

    hould

    worry

    s a

    great

    deal.

    Some

    General Conclusions

    The

    main

    object

    of this

    paper

    was

    to

    present, compare

    and

    critically

    valuate the various

    approaches

    to the

    problem

    f

    education

    and

    manpower

    lanning

    hat

    are

    being widely

    used at

    the

    moment.

    It

    has

    not,

    of

    course,

    been

    possible

    to cover

    all the

    approaches

    to the

    question,particularly

    hose works

    which re based on skilful

    application

    of commonsense to the available data, e.g , thatofJohnVaizey.29 But

    the

    evaluation

    of the more formal

    approaches

    does leave

    one with the

    impression

    that while

    a

    great

    deal has been

    achieved,

    he

    subject

    has

    perhaps

    sufferedmore than a little

    from

    trying

    to arrive

    at

    quick

    conclusions,

    ased

    on

    covering

    p

    gaps

    of information

    ith

    rather

    trong,

    and

    not

    very

    easily supportable,

    ssumptions.

    The Fixed

    Requirement

    Approach

    s

    perhaps

    the worst ffender

    n

    this,

    though

    the heroic uses

    of the Income

    Share

    Approach

    also

    leave

    one

    acutelyuneasy.

    While

    t

    is true hat

    time,

    ide

    and

    policy

    decisions

    wait

    for

    no

    one,

    I am not

    convinced that theneed forenlightenedolicy s bestservedbypatching

    up

    our

    gaps

    of

    knowledge

    by

    a

    set

    of

    assumptions

    that are

    neither

    intuitively ery

    plausible,

    nor are

    verified

    y

    data

    (in

    some

    cases are not

    even

    verifiable).

    Leaving

    out

    the

    quick

    conclusions hat

    Harbison

    and

    Myers

    draw,

    their

    approach

    of

    constructing

    elevant

    ndices

    to

    see

    whatuse can

    be

    made

    of

    them,

    must

    be

    regarded

    s

    fundamentally very

    useful

    one.

    On

    the

    basis of our review

    of Harbison

    and

    Myers's

    particular

    methods,

    however,

    t

    may

    be

    suggested

    hat as

    a

    guide

    to

    the

    production

    ide

    of the

    picture,their composite index is notquite theright hing o look for,

    though

    ts value

    in

    other

    respects

    s

    not to

    be

    denied.

    What

    we need

    clearly

    is

    more informationn the

    stocks

    of educated

    people

    of

    different

    29.

    John

    aizey,

    conomics

    f

    Education

    London,

    962).

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    20

    A.

    K.

    SEN

    kinds,

    forwhich

    the enrolment

    atios

    are

    very

    poor

    guides.

    For

    most

    countriesthese informationo not exist. But lack of informations not

    an

    immutable

    aw

    of

    nature,

    nd

    part

    of the

    ob

    of the

    economists

    work-

    ing

    in

    this field is

    to

    point

    out

    precisely

    what kind of

    information

    he

    various

    countries hould collect. It will

    be

    not

    only

    useful,

    but

    essential

    for

    educational

    planning,

    to

    have

    information

    n the

    number f

    people

    with

    given

    type

    of

    education

    lassified

    y

    age,

    occupation

    and

    earnings.

    Even

    their

    rude

    numbers

    will

    be

    more

    useful

    o

    correlate

    with

    GNP

    than

    enrolment

    ratios. With information n

    age,

    we

    can

    do one

    better,

    y

    trying

    o

    bring

    n the forces

    of

    learningby doing beyond the level of

    formal

    ducation,

    which

    has

    been

    so

    farmore or

    less left

    ut of

    orthodox

    discussions

    on

    the

    economics

    of

    education.80

    Earnings

    would

    provide

    information

    n

    the

    value

    of

    a

    worker

    with

    given

    kind

    of

    education

    to

    the

    enterprise mploying

    him,

    but

    in

    using

    these the

    difficulties

    rising

    from he difference

    etween

    rivate

    nd

    social

    productivities,

    rom

    mper-

    fect

    foresight,

    rom

    the

    existence

    f

    monopolies,

    and

    from

    he

    presence

    of

    conventional

    wages

    not

    determined

    by

    market

    forces,

    must

    be

    kept

    in mind.

    The data on educational tockwithfurthernformationn age and

    occupation

    can

    be

    fairly easily

    collected

    with

    he

    periodical

    censuses.81

    Information

    n

    earnings

    s, however,

    ather more difficult

    o come

    by,

    partly

    because

    the

    rates of

    taxation

    depend

    on

    this. Here

    the

    method

    of

    sample

    surveys

    an

    be

    of

    very

    onsiderable

    se,

    maintaining

    nonymity

    of information

    o reduce the

    risk of

    deliberate

    misreporting.

    Sample

    surveys

    hould

    also

    be

    useful

    at

    the

    other

    end of the

    picture,

    viz.,

    in

    finding

    out

    how

    the

    enterprise

    egards

    he

    usefulness f

    various

    kinds

    of

    skill,

    depending

    n

    formal

    education,

    on-the-job

    training,

    and

    learning

    from xperience.

    Finally,

    the

    effect f

    primary

    ducation

    on

    the

    peasants*

    attitude

    to

    modern methods

    of

    production

    and

    on

    various

    social

    and

    economic

    problems

    n

    the

    rural

    areas will be

    extremely mportant

    o

    study

    in the

    context

    f

    underdeveloped

    ountries.

    This

    type

    of

    consideration

    s

    usually

    30.

    On

    learning

    y

    doing,

    ee

    K.

    J.

    Arrow,

    The

    Economic

    mplications

    n

    Learning y Doing,

    Review

    f

    Economic

    XXIX

    (3),

    No. 80

    June

    962).

    On

    some

    f

    he

    onsequences

    f

    this

    process

    n

    skill,

    productivity

    nd

    earnings

    of

    workers,

    ee

    A.

    K.

    Sen,

    Education,

    earning

    y

    Doing

    and

    Productivity ,

    mimeographed,sian Instituteor EconomicDevelopmentnd Planning

    (1964).

    31.

    Information

    an also

    be collectedrom ther

    ources.

    See

    Pitamber

    ant

    nd

    T.

    P.

    Chaudhry,

    ducated

    ersons

    n

    ndiv

    Perspective

    lanning ivision,

    lan-

    ning

    ommission,

    ew

    Defti,

    959.

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    EDUCATION ND

    MANPOWER

    LANNING

    21

    left

    ut of discussions

    ecause

    of the

    difficulty

    n

    getting

    recise

    informa-

    tionon this, hough hisgap in ourknowledge s sometimesmade to look

    unimportant

    n the

    basis of some

    misleading arguments

    on correlation

    coefficients,

    .g.,

    that of

    Harbison and

    Myers,

    whichwe discussed earlier.

    Rational discussions on educational

    policy

    require

    hatwe look

    closely

    into

    this side of

    the

    picture

    n the

    underdeveloped

    ountries.

    We

    started

    by looking

    at the

    economic

    approaches

    now

    being

    used

    for

    educational and

    manpower planning,

    and

    we have

    ended

    up by

    drawing

    up

    something

    ike a

    big

    agenda

    forfurther

    esearch. If this

    seems o

    imply

    certain

    cepticism

    bout the current tate of this

    field f

    economics,

    hat s

    precisely

    what s intended.

    Delhi School of

    Economics

    UNIVERSITY

    F DELHI

    Amartya K.

    Sen