37
GERMA ` COENDERS, FERRAN CASAS, CRISTINA FIGUER and MO ` NICA GONZA ´ LEZ RELATIONSHIPS BETWEEN PARENTS’ AND CHILDREN’S SALIENT VALUES FOR FUTURE AND CHILDREN’S OVERALL LIFE SATISFACTION. A COMPARISON ACROSS COUNTRIES 1 (Accepted 8 September 2004) ABSTRACT. In this paper, a model is set forth relating (a) overall life satisfaction of children to children’s values and (b) children’s values to parents’ values. Using confirmatory factor analysis models three dimensions of values (materialistic values, capacities and knowledge values and interpersonal relationship values) consistently emerged in 5 countries (Brazil, South Africa, Norway, Spain and India) for both parents and children. There was a considerable amount of missing data, mainly because the parent’s questionnaire was often not returned. Full information maxi- mum likelihood estimators with missing data were thus used. Multiple-group analyses were next performed to assess factor invariance of the three value dimensions across the five countries for both parents and children. This implies testing the equality of factor loadings and intercepts across groups. This equality is required to ensure that factors have the same interpretation in all groups, which is necessary when comparing any aspect of the factor distribution across groups. The only two countries for which the interpretation of value dimensions was invariant for both parents and children were Brazil and Spain. The results of other countries could thus not be compared. Multiple-group structural equation models revealed that both parents and children scored higher on most values in Brazil than in Spain. In both countries, each child value dimension was only significantly predicted by the same value dimension of the parents. R-squares were in the 4–12% range and slightly higher in Brazil. The only value dimension that had some effect on overall life satisfaction was capacities and knowledge, which was so in both countries. KEY WORDS: aspirations, child subjective well being, factor invariance, missing data, structural equation models, values INTRODUCTION From the point of view of Campbell et al. (1976), quality of life studies should consider not only perceptions and evaluations, but Social Indicators Research (2005) 73: 141–177 Ó Springer 2005 DOI 10.1007/s11205-004-3233-0

RELATIONSHIPS BETWEEN PARENTS’ AND CHILDREN’S ...independence, joie de vivre, and rationality are more appreciated by youngsters than by adults – while responsibility, tolerance

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  • GERMÀ COENDERS, FERRAN CASAS, CRISTINA FIGUER andMÒNICA GONZÁLEZ

    RELATIONSHIPS BETWEEN PARENTS’ AND

    CHILDREN’S SALIENT VALUES FOR FUTURE AND

    CHILDREN’S OVERALL LIFE SATISFACTION.

    A COMPARISON ACROSS COUNTRIES1

    (Accepted 8 September 2004)

    ABSTRACT. In this paper, a model is set forth relating (a) overall life satisfaction ofchildren to children’s values and (b) children’s values to parents’ values. Usingconfirmatory factor analysis models three dimensions of values (materialistic values,

    capacities and knowledge values and interpersonal relationship values) consistentlyemerged in 5 countries (Brazil, South Africa, Norway, Spain and India) for bothparents and children. There was a considerable amount of missing data, mainly

    because the parent’s questionnaire was often not returned. Full information maxi-mum likelihood estimators with missing data were thus used.Multiple-group analyses were next performed to assess factor invariance of the

    three value dimensions across the five countries for both parents and children. Thisimplies testing the equality of factor loadings and intercepts across groups. Thisequality is required to ensure that factors have the same interpretation in all groups,

    which is necessary when comparing any aspect of the factor distribution acrossgroups.The only two countries for which the interpretation of value dimensions was

    invariant for both parents and children were Brazil and Spain. The results of other

    countries could thus not be compared. Multiple-group structural equation modelsrevealed that both parents and children scored higher on most values in Brazil than inSpain. In both countries, each child value dimension was only significantly predicted

    by the same value dimension of the parents. R-squares were in the 4–12% range andslightly higher in Brazil. The only value dimension that had some effect on overall lifesatisfaction was capacities and knowledge, which was so in both countries.

    KEY WORDS: aspirations, child subjective well being, factor invariance, missingdata, structural equation models, values

    INTRODUCTION

    From the point of view of Campbell et al. (1976), quality of life

    studies should consider not only perceptions and evaluations, but

    Social Indicators Research (2005) 73: 141–177 � Springer 2005DOI 10.1007/s11205-004-3233-0

  • also aspirations of people. Aspirations are a complex concept and

    social sciences have not yet debated theoretical models and proce-

    dures sufficiently to get good measures of people’s aspirations in

    different contexts.

    We may consider aspirations on at least two very different levels:

    (1) General aspirations, which are usually formulated in abstract

    terms. General aspirations, particularly among pedagogues,

    have often been related to values, i.e. values the subject aspi-

    rates to be appreciated for in his or her future life. In our

    present research we are interested in aspirations as conscious

    goals of people and not just dreams.

    (2) Concrete aspirations, which are often related to concrete goals

    the subject wants to achieve, in the immediately foreseeable fu-

    ture.

    In the quality of life studies tradition we can meet a good number of

    researches exploring the relationship between the pursuit of concrete

    goals and subjective well-being (many studies by T. Kasser and by

    R.M. Ryan are good examples, as for instance Kasser and Ryan,

    1996).

    Additionally, we can also find a certain number of studies which

    explore general aspirations in very concrete domains – which in fact

    share characteristics of the two quoted levels – but, from our point of

    view, they are clearly more related to values than to concrete goals,

    because of the general terms used to find out the position of the

    surveyed subjects. Clear examples are some studies on desired values

    or qualities to be fulfilled in children’s growing up and education, as

    for example in the different questionnaires of the World Values

    Survey (WVS). In the 1990, 1995 and 1999–2002 WVS, the following

    item was included: Here is a list of qualities which children can be

    encouraged to learn at home. Which, if any, do you consider to be

    especially important? Please, choose up to five (see the list of values

    following this item in Table I). In the 1999–2002 questionnaire this

    list of 11 values was reduced to 10 – good manners being excluded of

    the list.

    A similar item – with slight but interesting differences (see Table I)

    – was included in some Eurobarometer surveys, the first time in

    number 34 (Commission of the European Communities, 1990) under

    the label What parents expect from their children. The list was also of

    GERMÀ COENDERS ET AL.142

  • TABLE

    I

    Lists

    ofdesired

    values

    andqualities

    thatparents

    expectfrom

    theirchildren

    Hereisalist

    ofqualities

    whichchildrencanbe

    encouraged

    tolearn

    at

    home.

    Which,ifany,do

    youconsider

    tobe

    especiallyim

    portant?

    Please,choose

    upto

    five.

    WorldValues

    Survey,1990,1995

    (Inglehart,1997)

    Hereisalist

    ofqualities

    whichparents

    cantryto

    encouragein

    theirchildren.

    Whichdoyouconsider

    tobeespeciallyim

    portant?

    Please,choose

    three.

    Eurobarometer,34

    (Commissionofthe

    EuropeanCommunities,

    1990)

    Hereisalist

    ofqualities

    whichparents

    cantryto

    encouragein

    theirchildren.

    Whichdoyouconsider

    tobeespeciallyim

    portant?

    Please,choose

    three.

    Eurobarometer,39

    (Commissionofthe

    EuropeanCommunities,

    1993)

    Imagineyourson/daughteris

    21

    years

    old.At

    that

    time,

    what

    values

    would

    you

    like

    him

    /her

    tobe

    appreciated

    for?

    (Casas

    etal.,2003)

    Goodmanners

    Goodmannersand

    politeness

    Goodmanners

    His/her

    intelligence

    Independence

    Abilityto

    communicate

    withothers

    Self-reliance

    His/her

    practicalskills

    Hard

    work

    Independence

    Hard

    work

    His/her

    wayofgettingalongwith

    people

    Feelingofresponsibility

    Conscientiousnessatwork

    Asense

    ofresponsibility

    His/her

    knowledgeofcomputers

    Imagination

    Asense

    ofresponsibility

    Imaginationandcreativity

    His/her

    profession

    Tolerance

    andrespect

    forother

    people

    Imagination

    Tolerance

    andrespect

    forothers

    His/her

    family

    PARENTS AND CHILDREN VALUES AND CHILDREN SWB 143

  • TABLE

    I

    Continued

    Thrift,savingmoney

    and

    things

    Tolerance

    andrespect

    forothers

    Asense

    ofthrift

    His/her

    sensitivity

    Determination,

    perseverance

    Thrift,notwastingmoney

    andother

    things

    Determinationand

    perseverance

    His/her

    sympathy

    Religiousfaith

    Religiousfaith

    Religiousfaith

    His/her

    money

    Unselfishness

    Obedience

    Generosity

    His/her

    power

    Obedience

    Loyalty

    Obedience

    His/her

    knowledge

    about

    the

    world

    Loveoflife

    His/her

    appearance

    (his/her

    im-

    age;

    the

    way

    he/she

    looks

    toothers)

    Courage

    Atasteoflife’spleasures

    Anappreciationofbeauty

    GERMÀ COENDERS ET AL.144

  • 11 qualities or values, but only 4 of them are formulated in exactly

    the same way than in the WVS. In Eurobarometer 39 (Commission of

    the European Communities, 1993) the list was expanded to 14 values

    –among them only four being formulated in exactly the same way as

    in number 34 (Table I). As a consequence of the different formula-

    tions of the question, results present clear differences, although they

    offer similarities as well.

    In the psychological tradition there are many value studies using

    similar lists, which sometimes have been administered to adolescents

    in order to explore their own desired values. However, the general

    question is always referred to present time, not to future. For

    example, in Schwartz’s studies, the question As a guiding principle in

    my life, this value is. . ., is used before presenting a list of 56 values

    (Struch et al., 2002). In order to distinguish our formulation from the

    ones referred to present time, we will use the concept salient values for

    future.

    As many authors have pointed out, along the last decade a

    large number of studies on children’s and adolescents’ subjective

    well being (SWB) have been published, although this field of study

    is still in its infancy compared to adult’s SWB studies (Huebner,

    1994; Casas et al., 2001). Such studies have usually tested measures

    of how children and adolescents evaluate their overall life satis-

    faction and their satisfaction with specific domains of life. How-

    ever, there is little research of under 16s in which life satisfaction is

    studied in relation to general life aspirations, as for example,

    values.

    Often, beliefs and value systems have a hierarchical structure,

    some of them being more nuclear than others (Rokeach, 1973). Al-

    though the value system of each individual is relatively stable, it may

    change in different social contexts and in different cultural conditions,

    and it is particularly influenced by the social and political develop-

    ment of each society (Pinillos, 1982).

    A relationship between parents’ personal values and parent’s

    values oriented to the growing-up of their own children (educational

    values, according some authors) has been often identified in scientific

    literature. However, surprisingly, very often scientific research has

    concluded that it is very difficult to empirically demonstrate the

    influence of parents’ values on children’s values – traditionally, cor-

    relations found have often been very modest and lower than expected

    PARENTS AND CHILDREN VALUES AND CHILDREN SWB 145

  • (Hess and Torney, 1965; Connell, 1972; Thomas and Stankiewicz,

    1974).

    Two theories have been developed trying to explain that situation

    (Musitu et al., 2001), which make opposite predictions: (a) The

    evolutional hypothesis stands for little direct influence. Similar atti-

    tudes and values between parents and children are very much influ-

    enced by a shared context, and will increase only when they have to

    deal together with similar situations and similar crises. Parents’ and

    children’s values will approach only when children become adults. (b)

    The socialization hypothesis stands for a direct influence, but in

    competition with different socialization agents. Therefore, the older a

    child is, the smaller the direct influence of parents and the larger the

    influence from other agents, which will produce larger differences

    between parents’ and children’s values.

    Longitudinal studies tend to refuse the first hypothesis. How-

    ever, they do not give a clear support to the second either (Miller

    and Glass, 1989). In consequence, the idea of a direct, simple and

    clear influence has to be avoided, because the interrelationships

    seem to be more complicated than expected. Explained variances

    of children values remain in any case low.

    Some sociological research has found that some values do cor-

    relate with age, and appear to be more or less appreciated among

    youngsters than among adults. Orizo (1996) found in a Spanish

    sample that honesty and religious faith are less appreciated and

    independence, joie de vivre, and rationality are more appreciated by

    youngsters than by adults – while responsibility, tolerance or good

    manners did not correlate with age. Also Whitbeck and Gecas

    (1988) point out age as a mediating factor together with the nature

    of values transmitted, the perceptions and attributions that children

    have about parents’ values and the quality of parent–children

    interactions.

    All the comparisons between parents and children that we have

    been able to find in the scientific literature develop evaluations of

    present values. Because both age differences and the different every-

    day life contexts experienced by the two generations may influence

    value structures, it is not unexpected that present values differ be-

    tween parents and children in the same family. In order to explore a

    different perspective, we designed our research based in a commonly

    imagined future (when the child becomes 21 years old) and as a

    GERMÀ COENDERS ET AL.146

  • common aspiration (values the child is desired to be appreciated for).

    In that way we assume that we do not compare present values, but

    salient values for future, that is to say, a kind of general aspirations.

    The relationship between salient values for future held by children

    and their SWB has the potential to raise rather new debates. Do

    adolescents high in materialistic aspirations tend to be more or less

    satisfied with life than those high in more humanistic aspirations? Or

    perhaps salient values for future make no major difference to people’s

    life satisfaction? Does the fact of being satisfied with life or with a

    specific life domain bear any relation to different desired values? One

    of our basic hypotheses is that aspirations and SWB of children are

    related in some way or another.

    The study of values in relation to children’s SWB has been,

    compared to adults, hardly considered by the research community,

    although its inclusion is defended, however, by several authors (Di-

    ener and Fujita, 1995; Csikzentmihalyi, 1997; Diener et al., 1998).

    Therefore, it is not strange that we have, as quoted, research on

    adults opinions on salient values for children’s future, but we scarcely

    have available research on children’s or adolescents’ opinions about

    salient values for their own future.

    According our previous own research, some salient values for

    future seem to contribute to SWB of adolescents (Casas et al., 2004).

    Moreover, there is increasing evidence that those people that give

    more importance to the so called extrinsic or materialistic values

    (fame, money, power, etc.), as opposed to the intrinsic ones (inter-

    personal relationships, feelings of community belonging, and so on)

    show lower overall life satisfaction (Kasser and Ryan, 1996; Kasser

    and Ahuvia, 2002) – and we have already collected similar empirical

    evidence also among adolescents (Casas et al., 2004).

    In this paper, a model is set forth relating (a) overall life satis-

    faction of adolescents (12–16 years old) to their own salient values

    for future and (b) adolescents’ salient values for future to parents’

    desired values for their own children’s future, in five countries

    (Brazil, South Africa, Norway, Spain and India) using structural

    equation models – SEM [sometimes called LISREL models, after

    the name of the first commercial software that became available,

    developed by Jöreskog (1973) (see Bollen, 1989; Raykov and Mar-

    coulides, 2000; or Batista-Foguet and Coenders, 2000 as introduc-

    tory manuals)]. First, the comparability of factor structures across

    PARENTS AND CHILDREN VALUES AND CHILDREN SWB 147

  • countries will be assessed and then comparisons will be made

    among the set of countries that are comparable.

    SUBJECTS AND MEASUREMENT INSTRUMENTS

    Sample Selection

    In each country, we selected a town or a region, and then we obtained

    a list of all schools with pupils within the age range between 12 and

    16 years old, that is in their late childhood or early adolescence. Next,

    we selected those schools whose pupil population could be considered

    most representative of the characteristics of the majority of the

    families in the town. In practice, that means we excluded a few

    schools of the list: the elite schools with disproportionally large

    numbers of rich people and those schools from the communities with

    the lowest socio-economic status. Thus, we intended to compare

    across countries a sample with a majority of children of middle class

    families according the standards of each country or culture (low,

    medium and high middle class). We assumed that the extreme situ-

    ations may be very different across countries and therefore non-

    comparable. For example, consider the different situations of the

    lowest classes in countries like Norway and India.

    From the final list of schools we randomly selected a sufficient

    number for an overall sample size of between 600 and 1200 children.

    As expected, a number of schools refused to participate in our re-

    search, and we attempted to randomly substitute them. However in

    areas with a low population, sometimes we were forced to select only

    the school or schools willing to cooperate. Even if our samples are

    not nationally representative, they represent well city middle class

    children and heterogeneity is enough to estimate relationships among

    variables.

    In each school, we reported our aims to the director and to the

    parents association, and we proceeded in accordance with regular

    ethical guidelines for questionnaire administration to children in each

    country.

    When participation in our research had been agreed, we randomly

    selected a number of classes, until we had fulfilled a quota for each

    age group from each school, and we asked for cooperation from the

    responsible teachers. After that, children were carefully asked for co-

    GERMÀ COENDERS ET AL.148

  • operation and were informed that data would be treated confiden-

    tially and that they were free to refuse. The questionnaires were

    administered in their regular classroom to the whole group. One of

    their usual teachers and one or two researchers were present during

    the administration, and clarified any of the children’s questions that

    arose. The session was usually about 1 h long for the youngest and

    about 35–40 min for the oldest.

    At the end of the session, we gave each child a letter and a

    questionnaire for their parents in a sealed envelope, to be delivered by

    hand. They were asked to return it to the teacher within approxi-

    mately one week, also in a sealed envelope. The questionnaire could

    be answered by either of the parents or by both together, and a record

    was kept of that important variable. Each parent’s questionnaire was

    coded, so that it could be paired with their child’s.

    In their questionnaire, parents were requested to answer with only

    the child who had answered our school questionnaire in mind. The

    name of the child was marked on the form.

    After deleting 87 cases with many missing values, the final usable

    sample sizes for both parents and children, and the parent response

    rate are in Table II. By age and gender, 51.2% were boys and 48.8%

    girls, 11.1% aged 12, 28.1% aged 13, 29.1% aged 14, 22.5% aged 15

    and 9.2% aged 16.

    Measurement Instruments

    The original questionnaires were in Castilian Spanish and in Catalan

    languages and had already been tested in previous studies. In the

    Spanish region where the questionnaires were administered, both

    languages are official, and all children speak both of them fluently,

    with the exception of recently arrived immigrants. However, that is

    not the case for all parents, so they could choose the language version

    with which they felt more comfortable.

    For the international study, the Spanish version was translated

    into English and participants from all research teams across the five

    countries discussed the translation at an international meeting, where

    many cultural and social specific factors were taken into account. As

    a result of this discussion, some items of the original questionnaires

    were changed and a few new ones were added. Then, the English

    version was translated into all other languages. In the cases of

    PARENTS AND CHILDREN VALUES AND CHILDREN SWB 149

  • Brazilian-Portuguese and Norwegian, the translations also used the

    Spanish version, because at least one team member was fluent in

    Spanish. All translations were tested in each country, and a long e-

    mail discussion developed among all research teams, until agreement

    was reached on a new English standard version, and all translated

    questionnaires were re-adapted to that version.

    One method that has been used for exploring children’s and

    adolescents’ salient values for future is to ask them to what extent

    they would like to be appreciated for some concrete values, when

    they get older. We have used this technique in previous research in

    order to identify different value structures between parents and

    children (Casas et al., 2004). For the present study, we designed a

    closed set of salient values particularly thinking in adolescents’

    perspectives and desired values. We did not ask them to select a

    number of values in the list but to evaluate each value of the list

    through a five-point Likert scale, 1 meaning ‘‘not at all’’ and 5

    ‘‘very much’’. The question was Imagine you are 21 years old. At

    that time how much would you like people to appreciate the following

    aspects about you?

    The same set of values was introduced into the parents’ ques-

    tionnaire. In this case, they were asked to indicate to what extent they

    would like their children to be appreciated by other people in the

    future on the same twelve values (Table I).

    An item on overall life satisfaction was also included in adoles-

    cents’ questionnaire, measured through a five-point Likert scale, 1

    meaning ‘‘very dissatisfied’’ and 5 ‘‘very satisfied’’. The concrete

    TABLE II

    Sample sizes and response rate for parents

    Children Parents

    Count Percent Count Percent Resp. rate

    Spain 3118 44.7 1626 45.6 52.1

    SouthAfrica

    997 14.3 565 15.8 56.7

    Norway 893 12.8 347 9.7 38.9India 1115 16.0 763 21.4 68.4

    Brazil 860 12.3 263 7.4 30.6

    Total 6983 100.0 3564 100.0 51.0

    GERMÀ COENDERS ET AL.150

  • question was: At present, how satisfied are you with your life as a

    whole?

    The questionnaire was a part of a larger research project aimed at

    exploring different activities, perceptions and evaluations related to

    the use of audiovisual instruments by children. This article is con-

    cerned only with the comparison of the value dimensions across the

    five countries mentioned, both for parents and children, and with

    overall life satisfaction of children.

    Cross-cultural Comparability

    Factor invariance, also called measurement invariance, measurement

    equivalence, factor equivalence, and construct comparability, refers

    to the extent to which items used in survey-type instruments and the

    dimensions they measure mean the same thing to members of dif-

    ferent groups. It is thus clear that factor invariance is needed before

    the groups can be compared in a meaningful way, as otherwise, group

    differences in means or regression coefficients could be attributable to

    true differences in group distributions or to a different meaning of

    variables (Meredith, 1993; Little, 1997). This is especially relevant in

    cross-cultural research like ours, in which translated versions of the

    questionnaire are administered to different groups (e.g. Reise et al.,

    1993; Steenkamp and Baumgartner, 1998). In quality of life research,

    this problem has often been overlooked in the past, but research

    practice is rapidly changing (e.g. Park et al., 2004).

    Data were first explored with different statistical tests and dis-

    tributed to all teams for their analysis. An international 3-day

    meeting was organized to discuss the results. After this discussion, we

    concluded that some results might be cross-culturally comparable

    and others were not. Fortunately, among the former were values,

    which showed a very similar structure across countries after devel-

    oping a principal component analysis in each country (Casas et al.,

    2003). In all countries, acceptable solutions with three dimensions

    were found. Even if some items had more than one substantial

    principal component loading in some countries, in general the fol-

    lowing dimensions could be established (variable names in brackets):

    (1) Indicators of capacities and knowledge values (capacity):

    (a) intelligence (intellig),

    PARENTS AND CHILDREN VALUES AND CHILDREN SWB 151

  • (b) practical skills (practic),

    (c) computer knowledge (computer),

    (d) profession (professi),

    (e) knowledge of the world (world).

    (2) Indicators of interpersonal relationships values (personal):

    (a) family (family),

    (b) sensitivity (sensitiv).

    (c) sympathy (sympathy),

    (d) social skills or way of getting along with people (social).

    (3) Indicators of materialistic values (material):

    (a) money (money),

    (b) power (power),

    (c) own image (image).

    This multivariate descriptive analysis is not sufficient to assess factor

    invariance: multiple-group structural equation models (SEM) are

    required. Under this approach the same SEM, usually a confirma-

    tory factor analysis model, is simultaneously fitted to the data of

    several populations constraining certain parameters to be equal

    across populations, as explained below.

    A first requisite for factor invariance is the so-called configural

    invariance that is defined as the fact that individuals of different

    groups conceptualise the constructs in the same way (Meredith, 1993;

    Riordan and Vandenberg, 1994). Its assessment consists of checking

    that in all groups the same numbers of factors are associated with the

    same items. Configural invariance may fail for instance due to cul-

    tures being so different that the sheer meaning of constructs is dif-

    ferent, due to translation problems, or due to a different

    understanding of questions.

    A second requisite is metric invariance, which implies that in

    addition to configural invariance all factor loading parameters be

    equal across groups. Thus, not only the items composing each

    dimension but also the strength of the relationship between items

    and factors must be constant. Metric invariance is a requisite for

    cross-group comparison of factor variances, and of covariances and

    regression slopes relating different factors. The metric invariance

    requisite is often not completely satisfied in practice as it may fail

    for even more reasons than configural invariance (for example,

    different meanings of the translated response categories of some

    GERMÀ COENDERS ET AL.152

  • questions might suffice). It is argued that if it holds only for a set of

    items, it is enough to constrain the loadings of these to anchor a

    common meaning of the factors across groups (Byrne et al., 1989).

    This is the so-called partial measurement invariance.

    A third requisite is called strong factor invariance (Meredith,

    1993). In addition to metric invariance, strong factor invariance re-

    quires that measurement intercepts (values of the item corresponding

    to the zero value of the construct) also be constrained across groups.

    Strong factor invariance is a prerequisite for comparing factor means.

    This type of invariance can also hold only partially, that is for a

    subset of items of each dimension (Byrne et al., 1989), and yet make

    comparisons of factor means possible.

    ESTIMATION AND TESTING

    From the descriptive statistics in Table III it can be seen that there

    are a large number of missing values, especially for the parents’

    variables, as could be expected from Table II. Missing data are

    treated in several alternative ways within the context of SEM.

    (1) The classic procedures of listwise deletion, pairwise deletion and

    mean substitution. These procedures are only justified if the

    data are missing completely at random (Little and Rubin,

    1987). Data are said to be missing completely at random when

    the probability that a datum is missing is independent of any

    characteristic of the individual. Even under this unrealistic

    assumption, these approaches have a number of serious

    problems (Graham et al., 1994; Graham et al., 1996; Enders

    and Bandalos, 2001; Enders, 2001). In our case, we found

    evidence that data are not missing completely at random.

    Differences in children’s responses were detected depending on

    whether parents returned the questionnaires or not. In partic-

    ular, for all materialistic value variables, children scored higher

    for parents who did not return the questionnaire. One inter-

    pretations of this result is as follows: parents highly appreci-

    ating materialistic values may be busier, may spend less time at

    home, or may more frequently have an attitude that considers

    such things as answering a questionnaire that has been sent

    PARENTS AND CHILDREN VALUES AND CHILDREN SWB 153

  • home as ‘‘non-productive’’ or ‘‘of no value’’. Children high in

    materialistic values may have internalised such values from

    their parents.

    (2) Imputation. This approach has the advantage of providing a

    complete data set on which standard estimation procedures

    could in principle be used. Imputation can be justified both if

    the data are missing at random or completely at random. Data

    are said to be missing at random when the probability that a

    datum is missing depends only on characteristics of the indi-

    vidual that are observed (not missing). However, simple

    imputation procedures lead to biased estimates and standard

    errors. Multiple imputation (Rubin, 1987) does not have these

    drawbacks but it is cumbersome to perform unless special

    software is available.

    (3) Direct Maximum Likelihood (ML) assuming that the data are

    normally distributed and missing at random (Finkbeiner, 1979;

    Lee, 1986; Aburckle, 1996). This procedure is currently avail-

    able in most of the latest commercial software packages for

    SEM like Mx (Neale et al., 1999), EQS 6.0 (Bentler, 2000),

    AMOS 4.0 (Aburckle and Wothke, 1999), LISREL 8.51

    (Jöreskog et al., 2000; du Toit and du Toit, 2001) and MPLUS

    2.1 (Muthén and Muthén, 2001). This procedure is consistent,

    efficient and leads to correct standard errors and test statistics if

    the data are normal and missing at random (Aburckle, 1996;

    Wothke, 2000; Enders, 2001; Enders and Bandalos, 2001).

    When data are missing not at random (what is also called non-

    ignorable missing data) none of the procedures is consistent. This is

    the case when the probability that a datum is missing depends on

    characteristics of the individual that are missing, for instance on the

    same variable that is missing for the individual. Unfortunately it

    cannot be tested whether the data are missing at random or not at

    random. However, ML with missing data is reported to be less biased

    than the alternative approaches (Muthén et al., 1987). Besides, bias

    can be further reduced by the addition of more observed variables

    that can help predict missingness, which brings the situation closer to

    missing at random (Collins et al., 2001; Graham, 2003). Thus, large

    models like ours, with many observed variables will be likely to be

    less prone to bias.

    GERMÀ COENDERS ET AL.154

  • Five-point response scales such as the ones used in this article must

    be considered to be of an ordinal nature. However, it has been shown

    that factor analysis models’ capability to take measurement error into

    account makes them hardly vulnerable to ordinal measurement, so

    that the analysis of this type of ordinal data is admissible with

    standard estimation procedures (Coenders and Saris, 1995; Coenders

    et al., 1997). However, 5-point data can never be normally distrib-

    uted. From the skewness and kurtosis in Table III it can be seen that

    departures from normality are quite pronounced in our case. Statis-

    tical tests that are robust to non-normality are thus required. Satorra

    (1992, 1993) and Satorra and Bentler (1994) developed robust

    TABLE III

    Descriptive statistics and valid cases

    N Mean Std. dev. Skewness Kurtosis

    Intelligence 6872 3.82 0.964 )0.542 )0.014Practical skills 6837 3.78 0.961 )0.511 )0.043Computer knowledge 6804 3.44 1.193 )0.295 )0.739Professional status 6831 3.94 1.030 )0.817 0.178Knowledge of the world 6795 3.59 1.127 )0.435 )0.485Family 6846 3.98 1.056 )0.864 0.124Sensitivity 6805 3.72 1.069 )0.557 )0.273Sympathy 6802 3.99 1.000 )0.874 0.316Social skills 6792 3.96 0.945 )0.717 0.197Money 6796 2.85 1.380 0.135 )1.157Power 6774 2.90 1.376 0.088 )1.155Image 6818 3.57 1.231 )0.495 )0.678Parents

    Intelligence 3367 4.20 0.814 )1.007 1.371Practical skills 3350 4.05 0.819 )0.696 0.644Computer knowledge 3354 3.81 0.982 )0.566 0.030Professional status 3337 4.23 0.931 )1.248 1.417Knowledge of world 3328 4.09 0.932 )0.988 0.845Family 3364 4.26 0.882 )1.270 1.658Sensitivity 3350 4.24 0.865 )1.156 1.338Sympathy 3345 4.26 0.822 )1.177 1.743Social skills 3376 4.35 0.790 )1.370 2.426Money 3324 2.83 1.292 0.122 )0.923Power 3305 2.79 1.292 0.149 )0.955Image 3329 3.60 1.139 )0.558 )0.310Satisfaction with life

    as a whole

    6661 3.99 1.034 )0.950 0.469

    Valid N (listwise) 2739

    PARENTS AND CHILDREN VALUES AND CHILDREN SWB 155

  • standard errors and test statistics under arbitrary distributions for the

    complete data case. The missing data case is slightly more compli-

    cated but robust test statistics are also available. These are Yuan and

    Bentler’s (2000) T2* and sandwich standard errors (Arminger and

    Sobel, 1990). The few studies conducted to date report that these

    robust methods perform quite well (Enders, 2001; Gold et al., 2003).

    All estimations were carried out with the M-PLUS 2.13 program

    (Muthén and Muthén, 2001) using robust maximum likelihood with

    missing data.

    Several goodness of fit measures are usually considered in SEM

    (Bollen and Long, 1993). A likelihood ratio v2 test of the hypothesisthat all model constraints hold in the population is usually performed

    first. Usually researchers are not so interested in exactly fitting

    models, so that quantitative measures of misfit are preferred to tests

    of exact fit. A wealth of such fit measures has been suggested. Among

    the most widely used are the Root Mean Squared Error of

    Approximation (RMSEA), the Tucker and Lewis Index (TLI), also

    known as Non Normed Fit Index, Bentler’s comparative fit index

    (CFI) and the Standardized Root Mean Squared Residual (SRMR).

    RMSEA, CFI and TLI take the parsimony of the model into ac-

    count, so that the releasing of approximately correct constraints does

    not necessarily improve the values of these indices. SRMR does not

    take parsimony into account, but a modification of it, the so-called

    Parsimony Standardized Root Mean Squared Residual (PSRMR, see

    Corten et al., 2002) does. It can be computed from the standard

    SRMR as:

    PSRMR ¼ SRMR

    ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi

    count of sample moments

    model degrees of freedom

    s

    where the count of sample moments includes variances, non-dupli-

    cated covariances and means (if a mean structure is included in the

    model), taking all groups into account.

    Values of RMSEA and SRMR below 0.05 and values of TLI

    above 0.95 are usually considered acceptable, though the debate

    concerning which goodness of fit measures to use and what the

    threshold for a good model can be is far from resolved (see Bollen

    and Long, 1993 for details). For the PSRMR we recommend a

    threshold of 0.07, which is equivalent to a threshold of 0.05 for

    GERMÀ COENDERS ET AL.156

  • SRMR when the model has twice as many sample moments as

    parameters.

    Testing factor invariance constraints implies comparing nested

    models with and without the factor invariance constraints. For

    some reason, tests of factor invariance are often carried out by

    means of likelihood ratio tests alone, by comparing the v2 statisticof both models and ignoring the change in other goodness of fit

    measures (e.g. Byrne et al., 1989; Reise et al., 1993; Steenkamp and

    Baumgartner, 1998). Brannick (1995), Kelloway (1995) and Cheung

    and Rensvold (2002) warn against this incoherent practice. Cheung

    and Rensvold (2002), based on a large-scale simulation study,

    showed that for models testing measurement invariance, the CFI

    (Bentler, 1990) was especially well suited. In particular, they sug-

    gested computing the difference in CFI between two nested models.

    According to these authors, if this difference is larger than 0.01 in

    favour of the less restricted model, then restrictions should be re-

    jected, although the authors recognize that this threshold may be

    appropriate for two-group models only.

    Finally, it must be taken into account that standard errors and p-

    values must be interpreted with caution due to the cluster sample

    used (students are nested within classrooms and thus students in the

    same classroom fail to be independent). SRMR and PSRMR are

    the only of the reported fit measures not to be affected by data

    dependence.

    MODEL FOR CHILDREN’S AND ADOLESCENTS’ VALUES

    One-group Model on the Pooled Data of all Groups

    A confirmatory factor analysis imposing the factor structure de-

    scribed in the cross-cultural comparability section was first specified

    for the pooled data of children and adolescents of all countries. The

    fit of the model was very bad according to all usual goodness of fit

    measures (v2 ¼ 2423.37, with 51 d.f.; CFI ¼ 0.886; TLI ¼ 0.853;RMSEA ¼ 0.082; SRMR ¼ 0.067; PSRMR ¼ 0.089).

    There were many sources of misfit in this model. Knowledge of

    the world and knowledge of computers would load significantly and

    substantially on materialistic values, and social skills and image on

    interpersonal relationships values. Family was involved in three

    PARENTS AND CHILDREN VALUES AND CHILDREN SWB 157

  • significant and large error covariances. After dropping these prob-

    lematic variables and adding an error covariance between intelli-

    gence and practical skills, the model had an acceptable fit to the

    data (v2 ¼ 122.59, with 10 d.f.; CFI ¼ 0.989; TLI ¼ 0.977;RMSEA ¼ 0.040; SRMR ¼ 0.019; PSRMR ¼ 0.036) and is de-picted in Figure 1. The specification included the variances and

    means of the three value factors, as required for multiple group

    comparisons. The first item in each dimension (intelligence, sensi-

    tivity, and money) was used to fix the scale of the value factor by

    fixing the loading to 1 and the intercept to 0. The estimates are

    displayed in Table IV. Measurement quality estimates in the form

    of standardized loadings are of reasonable magnitude and all factor

    correlations were lower than one, thus arguing for convergent and

    discriminant validity. The fact that intelligence and practical skills

    measure the same specific component of capacities seems to make

    theoretical sense and seems to be no threat to validity. Anyway,

    three items are too few to fit a two-dimensional model for capacities

    and knowledge values.

    Figure 1. Path diagram of final Confirmatory Factor Analysis (CFA) model forpooled data. Children’s values.

    GERMÀ COENDERS ET AL.158

  • Factor Invariance Tests: Multiple Group Analyses

    In order to test for configural invariance, the model was fitted to data

    of all countries without parameter constraints across countries. The

    same model seemed to fit the data of all countries relatively well

    (v2 ¼ 187.01, with 50 d.f.; CFI ¼ 0.987; TLI ¼ 0.972; RMSEA ¼0.044; SRMR ¼ 0.026; PSRMR ¼ 0.049).

    When we introduce the strong factor invariance assumptions, that

    is, the equality of both intercepts and factor loadings across groups

    the fit of the model gets much worse (v2 ¼ 594.01, with 82 d.f.;CFI ¼ 0.950; TLI ¼ 0.936; RMSEA ¼ 0.067; SRMR ¼ 0.048;PSRMR ¼ 0.070).

    In order to look for pairs or triplets of countries for which the

    assumption would hold we attempted different types of specification

    searches:

    (1) Starting with the unrestricted model:

    (a) We tested the equality of each free loading and intercept

    (eight tests in all) by means of t-tests for each pair of

    TABLE IV

    Estimates of final CFA model for pooled data. Children’s valuesa

    Intercept Loading Standardizedloading

    Loadings and Intellig 0 1 0.645Intercepts Practic 0.011 0.986 0.638

    Professi )0.405 1.138 0.687Sensitiv 0 1 0.756Sympathy 0.622 0.907 0.734

    Money 0 1 0.846Power )0.133 1.065 0.904

    Mean Variance

    Factor Capacity 3.819 0.387Means and Personal 3.718 0.654Variances Material 2.850 1.363

    Capacity Personal

    Factor Personal 0.662Correlations Material 0.451 0.228

    aError variances and covariances are omitted for the sake of simplicity.

    PARENTS AND CHILDREN VALUES AND CHILDREN SWB 159

  • countries by combining their two robust standard

    errors.2 The number of significant differences at 5%, at

    1% and the total are displayed in Table V. Factor

    invariance seems to hold for the following three pairs:

    Spain and Brazil, South Africa and Norway, India and

    Brazil.

    (b) We performed hierarchical cluster analysis of countries

    using loading and intercept values as variables and the

    Euclidean distance as the dissimilarity measure. Spain,

    Brazil and India clustered together both when using

    intercepts and loadings and both when using single

    linkage and complete linkage cluster analysis. South

    Africa and Norway formed a much more heterogeneous

    cluster.

    (c) We introduced strong factor invariance constraints for

    all possible pairs of countries. The models so con-

    structed had 58 degrees-of-freedom. The v2 differences (8d.f.) and the CFI differences with respect to the

    unconstrained model can thus be computed. Unfortu-

    nately, v2 differences are not robust even if computedfrom robust v2 statistics, and thus standard ML v2 dif-ferences are reported in Table VI. The critical values for

    a v2 distribution with 8 d.f. are 15.5 at the 5% level and21.7 at the 1% level. Thus statistically speaking, exact

    invariance is rejected for all pairs of countries (except

    for two if we use a 1% level). However, if we take the

    small differences in CFI into account, we could say that

    factor invariance approximately holds for the Spain,

    TABLE V

    t-tests of equality of factor loadings and intercepts for each pair of countries.Number of significant differences at 5%, 1% and total

    Spain South Africa Norway India

    South Africa 1+0 = 1Norway 1+1 = 2 0+0 = 0

    India 1+1 = 2 2+0 = 2 2+3 = 5Brazil 0+0 = 0 1+0 = 1 2+0 = 0 0+0 = 0

    GERMÀ COENDERS ET AL.160

  • Brazil and Norway triplet and for the South Africa and

    India pair.

    The above results show how different conclusions can be

    reached depending on the approach taken. All approaches

    coincide only in the finding that factor invariance holds for

    Spain and Brazil.

    (2) Starting with the restricted model:

    (a) we relaxed constraints selectively based on modification

    indices.

    (b) we relaxed joint constraints of the five countries one by

    one.

    After all these specification searches, we arrive at a model in

    which scale invariance held for Spain and Brazil for all factors,

    for Spain, Brazil and India for the abilities factor, and for

    Spain, Brazil and Norway for the materialistic and interper-

    sonal factors, though Norway required an extra loading of

    profession on materialistic values (and thus, even the mildest

    requirement, i.e. configural invariance does not hold for this

    country as this loading was substantial at 0.33, with a t-value of

    7.109). The fit of such a model was more than acceptable

    (v2 ¼ 209.90, with 68 d.f.; CFI ¼ 0.986; TLI ¼ 0.978;RMSEA ¼ 0.039; SRMR ¼ 0.025; PSRMR ¼ 0.040).

    Thus, both when starting with the unrestricted and restricted models,

    we arrive at the same conclusion: scale invariance holds for Brazil

    and Spain only.

    TABLE VI

    Standard ML v2 difference (8 d.f.) and CFI difference when introducing strong factorinvariance constraints for one specific pair of countries. Children’s values

    Spain South Africa Norway India

    v2 CFI v2 CFI v2 CFI v2 CFI

    South

    Africa

    281.4 )0.017

    Norway 52.9 )0.003 93.77 )0.005India 164.0 )0.010 45.94 )0.002 89.57 )0.005Brazil 20.01 )0.001 193.29 )0.012 21.24 )0.001 102.50 )0.006

    PARENTS AND CHILDREN VALUES AND CHILDREN SWB 161

  • MODEL FOR PARENTS’ VALUES

    One-group Model on the Pooled Data of all Groups

    After some specification searches, the same model as for children was

    found to have an acceptable fit to the parents’ sample (v2 ¼ 57.86,with 10 d.f.; CFI ¼ 0.990; TLI ¼ 0.980; RMSEA ¼ 0.038;SRMR ¼ 0.018; PSRMR ¼ 0.034).

    Factor Invariance Tests: Multiple Group Analyses

    A multiple group model without constraints also yielded a relatively

    good fit, at least in terms of CFI and SRMR, thus arguing for con-

    figural invariance (v2 ¼ 195.43, with 50 d.f.; CFI ¼ 0.972;TLI ¼ 0.940; RMSEA ¼ 0.065; SRMR ¼ 0.034; PSRMR ¼ 0.064).On the contrary, a model with strong factor invariance constraints

    across all groups was clearly rejected (v2 ¼ 629.53, with 82 d.f.;CFI ¼ 0.893; TLI ¼ 0.863; RMSEA ¼ 0.099; SRMR ¼ 0.079;PSRMR ¼ 0.115).

    Starting with the unrestricted model and introducing strong factor

    invariance constraints for all possible pairs of countries, non-robust

    standard ML v2 differences (8 d.f.) and CFI differences with respectto the unconstrained model are presented in Table VII.

    According to this table, the only pairs of countries for which

    strong factor invariance would more or less hold would be South

    Africa and India, South Africa and Norway and India and Brazil.

    TABLE VII

    Standard ML v2 difference (8 d.f.) and CFI difference when introducing strong factorinvariance constraints for one specific pair of countries. Parents’ values

    Spain South Africa Norway India

    v2 CFI v2 CFI v2 CFI v2 CFI

    SouthAfrica

    164.74 )0.021

    Norway 183.57 )0.023 39.50 )0.004India 128.33 )0.016 27.16 )0.002 116.11 )0.014Brazil 63.17 )0.008 72.04 )0.008 54.92 )0.006 41.24 )0.004

    GERMÀ COENDERS ET AL.162

  • Starting with the restricted model and relaxing constraints selec-

    tively based on modification indices we arrive at a model in which the

    strong factor invariance constraints hold for South Africa, Brazil,

    India and Spain, except for the loading and intercept of profession.

    Thus, we found a case of partial invariance for the capacities and

    knowledge values. The fit of the model is on the borderline of being

    acceptable (v2 ¼ 282.65, with 68 d.f.; CFI ¼ 0.958; TLI ¼ 0.935;RMSEA ¼ 0.068; SRMR ¼ 0.046; PSRMR ¼ 0.074).

    If we combine the results of parents’ and children’s values, the

    only comparable pair is Brazil and Spain, while only partial invari-

    ance holds for the parents’ capacities and knowledge values, which is

    enough for comparisons to be made (Byrne et al., 1989).

    COMPLETE MEASUREMENT MODEL WITH BRAZIL AND

    SPAIN, FOR PARENTS’ AND CHILDREN’S VALUES.

    INVARIANCE CONSTRAINTS

    A factor analysis model with all six dimensions (both parents’ and

    children’s value dimensions) was fitted only on the samples of

    Brazil and Spain with (v2 ¼ 375.44, with 134 d.f.; CFI ¼ 0.976;TLI ¼ 0.967; RMSEA ¼ 0.030; SRMR ¼ 0.035; PSRMR ¼ 0.049)and without (v2 ¼ 325.97, with 120 d.f.; CFI ¼ 0.979; TLI ¼ 0.969;RMSEA ¼ 0.029; SRMR ¼ 0.029; PSRMR ¼ 0.038) strong factorinvariance constraints. For what now is a two-group model, the

    difference in the CFI was small enough at )0.003 to make thefactor invariance assumption tenable according to the guidelines

    given by Cheung and Rensvold (2002). Only partial invariance was

    imposed on the capacities value for parents. The estimates are

    shown in Table VIII and the path diagram in Figure 2. Note the

    equality of certain loadings and intercepts (not when standardized,

    though).

    It can be seen that for both countries the highest factor cor-

    relations are (1) between interpersonal and capacities values (for

    both parents and children), (2) between materialistic and capaci-

    ties values (for both parents and children), (3) between interper-

    sonal and materialistic values (for both parents and children) and

    (4) between each children’s value and the same value of their

    parents.

    PARENTS AND CHILDREN VALUES AND CHILDREN SWB 163

  • A model with strong factor invariance constraints provides factor

    mean estimates and can be used to test their equality across countries.

    A model assuming all six factors means to be equal across countries

    yields a rather bad fit, at least in terms of TLI and SRMR

    (v2 ¼ 605.26, with 140 d.f.; CFI ¼ 0.954; TLI ¼ 0.940; RMSEA ¼0.041; SRMR ¼ 0.083; PSRMR ¼ 0.108).

    In order to attribute this misfit to each particular factor, we per-

    formed Lagrange multiplier tests (sometimes called modification

    indices) for the equality of each of the means. These test statistics are

    distributed as a v2 with 1 d.f., with critical values 3.84 at 5% and 6.63at 1%. They were in increasing order of size 0.15 for parents inter-

    personal relationship values, 3.07 for parents’ materialistic values,

    7.74 for parents’ capacity values, 16.74 for children’s materialistic

    values, 21.87 for children’s interpersonal relationship values and

    114.58 for children’s capacity values. Lagrange multiplier tests are

    computed under standard ML theory and are thus not robust to non-

    normality. However, the very large values of 4 of these statistics are

    definitely significant.

    Thus, the equal mean assumption was only supported for the

    parents’ materialistic values and the parents’ interpersonal relation-

    ship values. On the remaining values, Brazilian parents and children

    scored higher than their Spanish counterparts, though the mean

    difference for children regarding interpersonal relationship values was

    small (3.862-3.737 ¼ 0.125 on a 5-point scale).

    STRUCTURAL MODEL WITH BRAZIL AND SPAIN,

    INCLUDING OVERALL LIFE SATISFACTION OF

    CHILDREN. INVARIANCE CONSTRAINTS

    The model was extended to include overall life satisfaction. In this

    model, each child’s value was regressed on all parents’ values, and

    overall life satisfaction was regressed on all values, both parents’ and

    children’s. The disturbances of children’s values were allowed to

    correlate as we could not assume parents’ values to explain all sys-

    tematic variance in children’s values (see Figure 3). This model has a

    good fit to the data (v2 ¼ 406.96, with 150 d.f.; CFI ¼ 0.975;TLI ¼ 0.965; RMSEA ¼ 0.029; SRMR ¼ 0.034; PSRMR ¼ 0.045)but contains many insignificant regression coefficients among factors.

    GERMÀ COENDERS ET AL.164

  • TABLE VIII

    Estimates of final CFA model for Spain and Brazila. Parents’ and children’s values.Partial invariance constraints. Parent’s values are preceded by ‘‘p_’’

    GroupSpain

    Intercept Loading Standar-dized

    loading

    Loadings

    and in-tercepts

    Intellig 0 1 0.637

    Practic )0.117 1.013 0.641Professi )0.368 1.140 0.670Sensitiv 0 1 0.675

    Sympathy 0.701 0.926 0.739Money 0 1 0.901Power 0.088 0.960 0.874p_intell 0 1 0.433

    p_practi 0.005 0.934 0.407p_profes )1.508 1.412 0.586p_sensit 0 1 0.706

    p_sympat )0.055 1.002 0.743p_money 0 1 0.885p_power )0.236 1.076 0.929

    Mean Variance

    Factormeans

    andvariances

    Capacity 3.742 0.346Personal 3.737 0.486

    Material 2.681 1.412p_capaci 4.196 0.097p_person 4.363 0.270

    p_materi 2.531 0.984

    Capacity Personal Material p_capaci p_person

    Factor

    correla-tions

    Personal 0.775

    Material 0.351 0.184p_capaci 0.230 0.135 0.134p_person 0.117 0.174 0.011 0.868p_materi 0.067 0.007 0.224 0.389 0.167

    GroupBrazil

    Intercept Loading Standar-dized

    loading

    Loadingsand inter-cepts

    Intellig 0 1 0.572Practic )0.117 1.013 0.560Professi )0.368 1.140 0.645Sensitiv 0 1 0.702Sympathy 0.701 0.926 0.717Money 0 1 0.868

    Power 0.088 0.960 0.844

    PARENTS AND CHILDREN VALUES AND CHILDREN SWB 165

  • After a short specification search, we arrived at a model in

    which each value dimension of the children depends only on the

    same value dimension of their parents, and only children’s capac-

    ities/knowledge values affect children’s overall life satisfaction, thus

    dropping 11 insignificant regression coefficients out of the 15 initial

    ones. Interestingly, the same significant effects were encountered in

    Brazil and in Spain. The fit of the model is at least equal to or even

    better than that of the unrestricted model with all possible

    regression coefficients, except with respect to SRMR, which does

    not take parsimony into account (v2 ¼ 439.33, with 172 d.f.;CFI ¼ 0.975; TLI ¼ 0.969; RMSEA ¼ 0.028; SRMR ¼ 0.036;PSRMR ¼ 0.045).

    TABLE VIII

    Continued

    GroupBrazil

    Intercept Loading Standar-dizedloading

    p_intell 0 1 0.595p_practi 0.005 0.934 0.448

    p_profes )1.141 1.252 0.699p_sensit 0 1 0.621p_sympat )0.055 1.002 0.746p_money 0 1 0.824p_power )0.236 1.076 0.916

    Mean Variance

    Factormeansand

    variances

    Capacity 4.122 0.255Personal 3.802 0.571Material 3.198 1.511

    p_capaci 4.449 0.164p_person 4.421 0.299p_materi 2.927 1.244

    Capacity Personal Material p_capaci p_person

    Factor

    correla-tions

    Personal 0.714

    Material 0.588 0.376p_capaci 0.389 0.298 0.144p_person 0.134 0.292 )0.023 0.683p_materi 0.120 )0.002 0.259 0.452 0.239

    aError variances and covariances are omitted for the sake of simplicity.

    GERMÀ COENDERS ET AL.166

  • The path diagram is displayed in Figure 4 and the estimates in

    Table IX. Only estimates of regression equation parameters are dis-

    played. All effects are statistically significant but R2 values are not

    high, and even less so for the Spanish sample and for the overall

    satisfaction variable.

    The fact that factor invariance holds and the model specification is

    the same in both groups makes it possible to test the equality of

    regression slopes across groups. A model with equal regression slopes

    fits even better than the model with unequal regression slopes, which

    leads to maintaining the equal slopes constraints (v2 ¼ 429.44, 176d.f.; CFI ¼ 0.975; TLI ¼ 0.971; RMSEA ¼ 0.027; SRMR ¼ 0.037;PSRMR ¼ 0.046).3 We also performed standard ML Lagrangemultiplier tests for the equality of each of the regression slopes

    Figure 2. Path diagram of final CFA model for Brazil and Spain. Parents’ andChildren’s values.

    Figure 3. Path diagram of the first specification of the structural part of the model

    for Brazil and Spain.

    PARENTS AND CHILDREN VALUES AND CHILDREN SWB 167

  • (distributed as a v2 with 1 d.f., with critical values 3.84 at 5% and 6.63at 1%) and none was individually rejected.

    The appendix shows the same results of Table IX obtained by

    means of regression models for all five countries. As stated there,

    these results are to be interpreted with the greatest caution. For this

    reason, this interpretation is not done in the main text but in the

    appendix itself.

    DISCUSSION

    Our research aim was to cross-culturally compare the influence of

    parents’ desired values for their own children and children’s salient

    Figure 4. Path diagram of the final specification of the structural part of the modelfor Brazil and Spain.

    TABLE IX

    Estimates and standard errors (in parenthesis) of the final specification of thestructural part of the model for Spain and Brazil

    Group

    SpainCapacity= 2.289(0.304) +0.346 · p_capaci (0.072) R2 = 0.035Personal= 2.673 (0.212) +0.244 · p_person (0.048) R2 = 0.034Material= 1.199 (0.085) +0.270 · p_materi (0.032) R2 = 0.051Oversat= 2.790 (0.165) +0.330 · capacity (0.043) R2 = 0.033

    BrazilCapacity= 2.267 (0.582) +0.417 · p_capaci (0.130) R2 = 0.113Personal= 1.678 (0.604) +0.481 · p_person (0.135) R2 = 0.122Material= 2.304 (0.240) +0.306 · p_materi (0.082) R2 = 0.077Oversat= 3.145 (0.361) +0.267 · capacity (0.087) R2 = 0.018

    GERMÀ COENDERS ET AL.168

  • values for future on SWB. To develop such a comparison we needed

    evidence that our samples could be compared in a meaningful way

    across cultures, in other words, that we could assume we were mea-

    suring exactly the same phenomena. In order to obtain such evidence

    we checked factor invariance of the results in each country for both

    subgroups of subjects (children and parents). We have checked

    configural invariance, metric invariance and strong factor invariance

    using the ML procedure to deal with missing data. For that purpose,

    CFI, TLI, RMSEA, SRMR and a newly developed parsimony

    adjusted version of SRMR have been systematically explored and

    preferred to the v2 test. This procedure led to the conclusion thatcomparability of results among Brazilian and Spanish data can be

    assumed for both parents and children. This did not hold for any

    other pair of countries, which cannot thus be compared in a formal

    statistical manner.

    An interpretation of the comparability of results from these

    countries might be that the languages belong to the same family of

    languages. However, it is difficult to state that Catalan or Spanish are

    more similar to Brazilian-Portuguese than Norwegian is to English.

    And in any case, the Indian sample was collected from a bilingual

    middle-class population speaking fluent English, with exactly the

    same wording as in South Africa. Therefore, the best explanation

    seems to be the cultural one: the Spanish and Brazilian cultures have

    deep common roots in the Latin culture.

    Because there is a rationale for the comparability of results be-

    tween these two countries, we then developed our structural model to

    include overall life satisfaction of children. That model shows us that

    in both cultures:

    (1) Salient values for future of parents and of children can be

    grouped into three factors: materialistic values, capacities and

    knowledge related values, and interpersonal relationships

    values.

    (2) Both for parents and for children interpersonal relationships

    values are very strongly correlated to capacities and knowledge

    related values.

    (3) Both for parents and for children, capacity and knowledge

    values on the one hand and material values on the other are

    highly correlated.

    PARENTS AND CHILDREN VALUES AND CHILDREN SWB 169

  • (4) Both for parents and for children personal relationships values

    and materialistic values are correlated but not strongly.

    (5) Each value factor of parents is correlated with the same value

    factor of their children but not strongly.

    When taking into account only the significant regression coefficients

    among factors we reached a model in which each value dimension of

    children depends on the same value dimension of parents, thus

    showing the interactional socialization process in which values go

    from parents to children in both cultures. The fact that the regression

    coefficients did not significantly differ between Brazil and Spain, may

    suggest a common trait of Latin cultures, in which strong family links

    are characteristic.

    In the model only adolescents’ capacities and knowledge salient

    values for future significantly affect their own overall life satisfaction

    in both countries. Such results suggest a key role that salient values

    for future related to adolescents’ capacities and knowledge play in

    their own life satisfaction in the two studied cultures, at an age at

    which attending school is their main occupation.

    However, the high correlation of capacities and knowledge related

    values with the other considered values makes collinearity a plausible

    explanation for the lack of significant effects on overall life satisfac-

    tion. In fact, the estimated correlations between children’s salient

    values for future and life satisfaction were for capacities and

    knowledge 0.175 in Spain and 0.150 in Brazil; for interpersonal

    relationships 0.173 in Spain and 0.109 in Brazil; and for materialistic

    values 0.025 in Spain and 0.044 in Brazil. Thus, interpersonal rela-

    tionships values are almost as highly correlated with satisfaction as

    capacities and knowledge values. This suggests that capacities and

    knowledge values could constitute a mediating factor in the effect of

    interpersonal relationships values on satisfaction.

    As a consequence of our results several additional ideas can be

    discussed, some of which are related to limitations of our present

    research:

    (1) Findings of traditional research which usually did not identify

    strong relationships between parents’ and children’s values are

    also confirmed when using methods that ensure comparability

    of results while correcting measurement error and missing

    GERMÀ COENDERS ET AL.170

  • data bias. Traditional regression models (see appendix) offer

    us a weak relationship between materialistic values of the two

    generations in all countries, and even weaker relationships for

    other value factors, which depend to some extent on the cul-

    tural context. Non-linear relationships may also exist among

    the studied factors and such possibility should be explored in

    the future.

    (2) We selected a list of values having in mind adolescents’ inter-

    ests. In the future it would be of interest to use longer lists of

    salient values for future, including those used in other inter-

    national surveys, in order to explore their factor structure.

    Although such lists have already been explored among adults,

    perhaps they may offer additional information when applied to

    adolescents.

    (3) Results using a Likert like scale for each value have provided us

    with more information than previous research in which

    respondents were just asked to select the 3 or 5 values consid-

    ered more salient. Our procedure does not seem to have in-

    creased the number of missing answers. In future research still

    less crude scales could be used, as for example 10-point rating

    scales.

    (4) We are convinced that placing the desired values in a concrete

    future moment of the adolescent’s life has improved compara-

    bility between generations. However, we still think that other

    alternative formulations of the question should be explored.

    APPENDIX. RESULTS OF REGRESSION MODELS IN ALL

    COUNTRIES

    The same models of Table IX were estimated as linear regression

    models for all five countries. Scales were constructed by averaging

    the items of each value dimension, while the overall satisfaction

    item was used as is. The only difference with respect to a plain

    regression model is that robust maximum likelihood with missing

    data was used instead of ordinary least squares.

    Results are shown in Table A.1 and must be interpreted with ex-

    treme caution for two reasons:

    PARENTS AND CHILDREN VALUES AND CHILDREN SWB 171

  • (1) The scales are measured with error. Thus, relationships are

    attenuated and standard errors are biased. In particular, it can be

    seen that for Brazil and Spain, R2 are in general lower than those

    in Table 9.

    (2) The results in the paper have shown that scales may not

    measure the same construct in all countries, except for the

    Brazil/Spain pair. Thus, equations of different countries may be

    regressing different things and are, strictly speaking, not com-

    parable.

    TABLE A.1

    Estimates and standard errors (in parenthesis) of regression models for all Fivecountriesa

    Group

    SpainCapacity= 2.888 (0.177) +0.212 · p_capaci (0.042) R2 = 0.023Personal= 3.238 (0.155) +0.165 · p_person (0.036) R2 = 0.016Material= 2.115 (0.081) +0.223 · p_materi (0.031) R2 = 0.038Oversat= 3.259 (0.110) +0.203 · capacity (0.028) R2 = 0.021

    BrazilCapacity= 3.270 (0.454) +0.205 · p_capaci (0.104) R2 = 0.029Personal= 2.865 (0.430) +0.260 · p_person (0.097) R2 = 0.039Material= 2.393 (0.237) +0.272 · p_materi (0.081) R2 = 0.067Oversat= 3.558 (0.238) +0.165 · capacity (0.056) R2 = 0.013

    South AfricaCapacity= 3.831 (0.218) +0.069 · p_capaci (0.050) R2 = 0.004Personal= 3.325 (0.263) +0.135 · p_person (0.059) R2 = 0.011Material= 2.125 (0.156) +0.309· p_materi (0.046) R2 = 0.099Oversat= 3.250 (0.207) +0.145 · capacity (0.050) R2 = 0.010

    NorwayCapacity= 2.967 (0.268) +0.127 · p_capaci (0.076) R2 = 0.011Personal= 3.222 (0.331) +0.093 · p_person (0.080) R2 = 0.005Material= 1.989 (0.163) +0.251 · p_materi (0.076) R2 = 0.033Oversat= 3.769 (0.147) +0.050 · capacity (0.042) R2 = 0.002

    IndiaCapacity= 3.169 (0.187) +0.171 · p_capaci (0.043) R2 = 0.025Personal= 2.885 (0.183) +0.183 · p_person (0.045) R2 = 0.029Material= 2.485 (0.170) +0.230 · p_materi (0.046) R2 = 0.041Oversat= 3.397 (0.160) +0.105 · capacity (0.040) R2 = 0.007

    aNon-significant relations (a=0.05) are bold-faced.

    GERMÀ COENDERS ET AL.172

  • In all countries, material values seem to be the most transmitted from

    parents to children. Brazil is the country in which values in general

    are most transmitted from parents to children. Next India and Spain

    would come. South Africa (with the exception of material values) and

    Norway are the countries in which children’s values are most unre-

    lated to their parents’.

    Predictive power of the capacity values on global satisfaction is

    generally low, but even more so in India and Norway.

    NOTES

    1 Acknowledgements are due to the country project directors and their associates

    Per Egil Mjaavatn (Norwegian University of Science and Technology, Trondheim,Norway), Usha Nayar (Tata Institute of Social Sciences, India), Irene Rizzini(Pontifı́cia Universidade Católica do Rio de Janeiro, Brazil), Rose September

    (Western Cape University, South Africa) and Ferran Casas (Catalan Network ofChild Researchers – XCIII – in co-operation with the University of Girona, Spain)for permitting us to use part of their project and to Childwatch International, Oslo,

    for sponsorship.2 As the samples are independent and the model does not contain constraints acrosscountries, estimates of different countries are independent. Thus, the standard error

    of the difference of the values of a parameter in two countries can be computed as thesquare root of the sum of both squared standard errors.3 Unlike the case is with a standard ML v2 statistic, a slight decrease of a robust v2

    statistic can occur when imposing constraints. In any case, differences in robust v2

    statistics are not interpretable.

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    Quality of Life Research Institute

    University of Girona

    Girona

    Spain

    Faculty Building of Economics and Business Germà Coenders

    Campus Montilivi

    17071 Girona

    Spain

    E-mail: [email protected]

    Fax: +34972418032

    PARENTS AND CHILDREN VALUES AND CHILDREN SWB 177