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    257

    An empirical analysis

    of consumer durable

    Barry L. Bayus

    Uni uersiry of Nort h Carolina Chapel Hil l N C 27599 USA

    Sachin Gupta

    Cornell Vniuersi@ I thaca NY 14853 USA

    Final version received April 1992

    Despite the dominant role of replacement purchases in

    many durable categories, previous research has not empha-

    sized modeling replacement behavior. In this paper, we de-

    velop a descriptive model for replacement intentions based on

    variables associated with product and household characteris-

    tics, and empirically estimate this model with cross sectional

    data for a set of home appliances. Results indicate that the

    perceived condition of the currently owned unit and its age

    are significantly related to replacement intentions. Whether

    or not a spouse is working and expected future household

    financial situation are also significant explanatory variables.

    Implications and directions for future research are also dis-

    cussed.

    Corr espondence t o: B.L. Bayus, Kenan-Flagler Business

    School, University of North Carolina, Chapel Hill, NC 27599,

    USA

    * This research was conducted while the first author was a

    faculty member at Cornell University. Funding for the data

    collection was provided by the Johnson Schools Institute

    for Research in Marketing at Cornell University. Special

    thanks are extended to Peter Dickson, Dick Wittink, the

    editor and two reviewers for their comments on an earlier

    draft.

    replacement intentions *

    1 Introduction

    The high penetration of consumer durables

    such as refrigerators, clothes washers, vac-

    uum cleaners, and coffee makers implies that

    a large portion of currently observed sales

    are due to replacement purchases. For exam-

    ple, according to industry sources, in 1985

    replacements accounted for 88% of refriger-

    ator sales, 78% of washer sales, 77% of vac-

    uum cleaner sales, and 67% of coffee maker

    sales in the US (Merchandising, 1986). As

    the installed base of products ages over time,

    replacement sales are also expected to in-

    crease. Thus, a better understanding of the

    durable replacement process can be impor-

    tant for areas such as sales forecasting, mar-

    keting new and existing products, and pro-

    duction planning. Knowledge of the impor-

    tant variables related to the replacement de-

    cision may also enable manufacturers to de-

    velop more precise targeting strategies

    through the use of database marketing tech-

    niques (Bayus, 1991b).

    Intern. J. of Research in Marketing 9 (1992) 257-267

    North-Holland

    Despite the dominant role of replacement

    purchases in many durable categories, previ-

    ous research has not paid much attention to

    the replacement decision. The aggregate de-

    mand for consumer durables has, however,

    received considerable research effort (e.g.,

    see the reviews in Dickson and Wilkie, 1978;

    Pickering, 1981). Studies have empirically in-

    vestigated variables related to ownership of

    durables (e.g., Nickels and Fox, 1983; Kim,

    19891, durable expenditures (e.g., Strober and

    Weinberg, 1977; Weinberg and Winer, 1983;

    Van Raaij and Gianotten, 19901, and proba-

    bility of purchase (e.g., Winer, 1985b). Al-

    though demand for durable goods is concep-

    tualized to come from first time purchases,

    0167-8116/92/ 05.00 0 1992 - Elsevier Science Publishers B.V. All rights reserved

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    258

    B.L. Bayus S. Gupra / Consumer dura ble replacement i nt ent ions

    replacements, and purchases of additional

    units (e.g., Pickering, 1981; Winer, 1985a),

    few empirical studies have considered re-

    placement behavior. Attention has tended to

    focus on the influence of household charac-

    teristics (e.g., income, working wife) on pur-

    chase, while product characteristics (e.g.,

    condition of a currently owned unit) are gen-

    erally ignored. By and large, matching empir-

    ical data with econometric models has re-

    sulted in disappointing results in terms of

    overall statistical fits (e.g., Winer, 1985b) and

    predictive ability (e.g., McNeil, 1974). An

    exception is Bayus et al. (1989) in which very

    good forecasting results for color televisions

    were achieved by modeling the separate de-

    mand components of sales.

    In this paper, we (1) develop a descriptive

    model for replacement intentions based on

    variables representing product and house-

    hold characteristics, and (2) use cross sec-

    tional data for a set of home appliances to

    empirically estimate this replacement model.

    Our results indicate that the perceived con-

    dition of the currently owned unit and its age

    are significantly related to replacement in-

    tentions. Whether or not a spouse is working

    and the expected future household financial

    situation are also significant explanatory

    variables. Importantly, we find no intrinsic

    product specific effects (i.e., the product spe-

    cific intercepts in a logit model are not statis-

    tically significant).

    In the next section, the related literature

    for consumer durable demand is reviewed. A

    model of durable replacement intentions is

    then developed. The sample and data col-

    lected are next described, and the dependent

    and independent variables are defined. Re-

    sults based on multivariate logistic regression

    analyses are then discussed. Finally, implica-

    tions of these findings and suggestions for

    further research are discussed.

    2. Related literature

    Major research thrusts in the consumer

    durables area have included the following

    topics: (1) information search and decision

    making (e.g., see the review in Beatty and

    Smith, 19871, (2) planning of purchases and

    the acquisition sequence of durables (e.g.,

    Kasulis et al., 1979; Dickson et al., 1983;

    Bayus and Rao, 1989), and (3) post-purchase

    behavior (the disposition of durables-e.g.,

    Jacoby et al., 1977; DeBell and Dardis, 1979;

    consumer dissatisfaction and complaint be-

    havior-e.g., Tse and Wilton, 1988). None of

    these efforts, however, explicitly studies con-

    sumer replacement behavior.

    Two recent efforts investigate the timing

    of replacement purchases for single durable

    products. Antonides (1990) empirically stud-

    ies the replacement behavior (conditional on

    a failure) for washers and finds that income

    and household size are positively related to

    replacements (as opposed to repairing the

    item). Bayus (1991a) reports that demo-

    graphic characteristics, attitudes and percep-

    tions, and search behavior of consumers

    trading in an automobile are significant ex-

    planatory variables of the timing of automo-

    bile replacements.

    Replacement demand is included in the

    general conceptual model for consumer

    durable demand proposed by Pickering

    (1981) and revised by Winer (1985a). Based

    on a review of the major efforts concerned

    with predicting durable demand, Pickering

    (1981) proposes a behavioral model in which

    demand is a function of purchase expecta-

    tions (i.e., intentions). Purchase expectations

    in turn are modeled as a function of personal

    financial circumstances and expectations

    (which is related to consumer confidence),

    personal circumstances (e.g., household

    move, marriage), orders of acquisition of new

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    B.L. Bayus S. Gupt a / Consumer durabl e replacement int ent ions 259

    durables, rates of depreciation of existing

    units, and current and future expectations of

    product characteristics. Dynamic and feed-

    back effects are also considered by allowing

    unanticipated events (e.g., product failure,

    special price/ promotion, financial windfall,

    unavailability of desired product) to affect

    the demand for a particular durable.

    As conceptualized in Pickering (1981), re-

    placement demand involves an implicit com-

    parison of the utility likely to be derived

    from the purchase of a new item as com-

    pared with the utility obtained from the ex-

    isting unit. He suggests that this comparison

    will depend on the age of the existing unit,

    its reliability, an assessment of whether it is

    likely to break down or require replacement

    in the near future, and to a lesser extent, the

    perceived attractiveness of new, more up to

    date units available in the marketplace.

    However, no detailed operationalization of

    variables which influence replacement pur-

    chases is given, nor are we aware of any

    study which has empirically estimated the

    influence of these variables on replacement

    demand.

    3.

    A model of durable replacement inten

    tions

    In this section, a descriptive model of re-

    placement intentions for a consumer durable

    is developed. Variables associated with prod-

    uct and household characteristics are consid-

    ered as predictors. Intentions are expected

    to be an important indicator of replacements

    since durable purchases are considered a

    planned purchase (Pickering, 1984). Empiri-

    cal studies by Morrison (1979), Kalwani and

    Silk (19821, and Jamieson and Bass (1989)

    also demonstrate a strong relationship be-

    tween stated intentions and actual purchases

    of durables. Kalwani and Silk (1982) further

    find that durable purchase intentions are lin-

    early related to purchase behavior.

    We can specify the functional relationship

    for replacement intentions as

    R(X) =g(X) +e, (1)

    where g(X) is the deterministic component

    of replacement intentions and is dependent

    on the set of explanatory variables X. Here,

    E is the error term (stochastic component) of

    intentions. The set of variables in X include

    characteristics of the product currently

    owned and household characteristics. Fol-

    lowing the conceptual model proposed by

    Pickering (1981), possible effects due to the

    stock of durables owned on replacement in-

    tentions for a particular product are not con-

    sidered (i.e., we assume the indirect utilities

    of product replacement are separable). Re-

    laxing this assumption is left for future re-

    search.

    Assuming that the error term and is iid

    according to a Type I extreme value distribu-

    tion, (1) can be transformed into the familiar

    logistic function. Letting P denote the prob-

    ability of replacing a durable, the model is

    P=l/.[l+exp(-CY-X/3)],

    (2)

    where X is the vector of explanatory vari-

    ables, j3 is the coefficient vector, and a is an

    intercept term. We note that the marginal

    impact on the replacement probability due to

    changes in an explanatory variable (say xi) is

    pjP l - PI. Because P is a function of sev-

    eral explanatory variables, the marginal im-

    pact of a single variable thus depends on the

    values of the other variables. In other words,

    the interactive effects of several explanatory

    variables are implicitly included in (2). Since

    the dependent variable we will analyze is

    binary (likely or not likely to replace),

    As part of the empirical study described later in this paper

    replacement purchase data for refrigerators and coffee

    makers were also collected along with intentions data. Re-

    sults not reported in this paper indicate that the same set of

    explanatory variables for replacement intentions and pur-

    chase were signif icant for both these products.

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    260 B.L . Bayus, S. Gupta / Consumer durable replacement intentions

    maximum likelihood methods can be used to

    estimate the parameters of (2); the logistic

    regression package LOGIST) implemented in

    SAS is used in our analyses (Harrell, 1986).

    We next discuss the specific variables we

    use to account for product and household

    characteristics.

    3.1 Product characteristics

    The perceived condition of the existing

    unit is expected to be an important variable

    for replacement intentions (e.g., households

    owning a unit in poor condition will usually

    have higher replacement intentions than

    those owning a unit in good working condi-

    tion). Current unit condition is a function of

    physical wear and tear (i.e., usage), mainte-

    nance and repair efforts, and the quality of

    the original brand purchased.

    We also expect that the age of the cur-

    rently owned unit will be an important indi-

    cator of product obsolescence. This obso-

    lescence may be due to the desire for new

    technology and/or features, image or styling

    preference changes (Bayus, 1991a), and

    changes in price expectations (Winer, 1985b).

    In order to describe this aspect of consumer

    durables, we consider the product specific

    hazard rate. The duration time (i.e., time

    between purchases or age of the existing

    unit) is assumed to have some p.d.f. f t) and

    c.d.f. F t). The hazard rate h t) =f t>/[l -

    F t)] is the likelihood that a replacement

    purchase is made for a unit of age t, given

    that it was not replaced in (0,

    t).

    For durable

    purchases, an increasing hazard rate is ex-

    pected (i.e., the probability of a replacement

    purchase increases as the units age in-

    creases). As discussed in Schmittlein and

    Helsen (1990), the Weibull distribution f t)

    =y/ y tY-

    exp[ - ( t/f3)Y]> captures several

    possible hazard forms, including concave in-

    creasing hazards (1 < y < 2), linearly increas-

    ing hazards (y = 2), and convex increasing

    hazards (y > 2). Based on empirically fitted

    replacement distributions for several

    durables, Weibull distributions with y close

    to 2 provide very good fits (Bayus, 1988;

    1991a). Thus, the Rayleigh distribution (i.e.,

    a Weibull with y = 2) is used to model

    durable hazard rates. For the Rayleigh, h t)

    = 2et.

    3.2 Household characteristics

    Although there is some disagreement over

    the empirical significance of specific mea-

    sures, previous studies indicate that the gen-

    eral variables of stage in the family life

    cycle and need for convenience are im-

    portant determinants of durable purchases.

    Strober and Weinberg (1977) and Weinberg

    and Winer (19831, for example, find that

    younger households are more likely to be in

    the durable acquisition stage (since they tend

    to own fewer durables). Winer (1985b) finds

    that age of household head exhibits a nonlin-

    ear relationship (i.e., U-shaped) to purchase

    probability. His results suggest that replace-

    ment demand is associated with older house-

    holds. Households in the later life cycle

    stage are more likely to need a replacement

    due to cumulated usage over time and/or

    may be better able to afford a replacement

    (since young children are generally not pre-

    sent in the household). Contrary to Strober

    and Weinberg (19771, Weinberg and Winer

    (19831, and Winer (1985b), Kim (1989) finds

    that wifes employment is significantly re-

    lated to durable ownership, even after con-

    trolling for income and life cycle effects.

    Finally, there is general agreement that a

    recent move is associated with durable pur-

    chases (e.g., Winer, 1985b; Wilkie and Dick-

    son, 1985). Based on this literature, we hy-

    pothesize that older households, households

    with working wives, and households that have

    recently moved are more likely to have posi-

    tive replacement intentions for currently

    owned durables.

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    B.L. Bayus, S. Gupta / Consumer durable replacement intentions

    261

    Generally speaking, household income is a

    significant and positive variable in studies of

    durable ownership (e.g., Nickels and Fox,

    19831, durable expenditures (e.g., Strober and

    Weinberg, 1977; Weinberg and Winer, 1983;

    Van Raaij and Gianotten, 1990), and proba-

    bility of purchase (e.g., Winer, 1985b). In a

    study of the multidimensional measure of

    consumer confidence (including current and

    expected evaluations of the general eco-

    nomic situation, household finances, price

    increases, and savings), Van Raaij and Gian-

    otten (1990) conclude that income is the most

    important determinant of consumer durable

    spending. A factor called household finan-

    cial situation (composed of perceived cur-

    rent and expected household finances) was

    also significant, while another factor termed

    development of the general economic situa-

    tion (composed of perceived current and

    expected general economic situation, price

    increases, and unemployment) was not a sig-

    nificant explanatory variable of durable

    spending. Based on these and other related

    studies, we hypothesize that the effects of

    household income and expected future

    household financial situation on replacement

    intentions are positive.

    3.3 Summary

    Based on the previous discussion, the re-

    sultant set of eight explanatory variables and

    their hypothesized direction of influence on

    durable replacement intentions is summa-

    rized in Table 1.

    4.

    The empirical study

    4 1 Data

    An empirical analysis of durable replace-

    ments requires that consumers have experi-

    ence with (e.g., currently own) the products

    being considered. Due to their relatively long

    Table 1

    Explanatory variables and hypotheses

    Variable

    Definition Hypothesized

    direction

    of influence

    CONDITION

    reported condition of

    unit currently owned

    negative

    HAZARD

    SPOUSE

    HHAGE

    HHAGE

    MOVED

    INCOME

    EXP_

    FINANCES

    calculated hazard rate

    of unit currently owned

    positive

    whether or not household

    positive

    has a working wife

    reported age of

    household head

    negative

    squared age of

    household head

    positive

    whether or not household

    positive

    has recently moved

    reported gross annual

    household income

    positive

    expected future

    household financial

    situation

    positive

    lifetimes, consumer durables also tend to be

    purchased infrequently. These inherent

    product and decision characteristics imply

    that relatively large samples are needed to

    investigate the replacement process (see also

    Cox et al., 1983).

    Unfortunately, publicly available panel

    data sets (e.g., Surveys of Consumer Finances

    University of Illinois Survey Research Cen-

    ter) do not collect data on key aspects associ-

    ated with the replacement decision (e.g., age

    and condition of currently owned units).

    However, an opportunity to collect cross sec-

    tional information on the variables in Table

    1 was provided by the Arkansas Household

    Research Panel, organized and maintained

    by the University of Arkansas in the US.

    Households were mailed a four-page ques-

    tionnaire in January 1990 concerning their

    ownership and twelve month purchase inten-

    tions (four-point scale) for several home ap-

    pliances: stove, refrigerator, washer, color

    television, video cassette recorder, vacuum

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    Table 2

    Sample profile

    B.L. Bayus S. Gupt a / Consumer durabl e replacement int ent ions

    Respondents Non-

    respondents

    Total

    Mean age HH head

    > High school education

    Gross annual income

    < 35K

    35K- 6SK

    > 65K

    Married

    Spouse employed

    Sample size

    56 years

    59%

    64%

    31%

    5%

    76%

    30%

    407

    53 years

    57%

    62%

    31%

    7%

    80%

    40%

    154

    55 years

    58%

    64%

    31%

    5%

    77%

    33%

    561

    cleaner, and coffee maker. This set of appli-

    ances was selected to represent a range of

    product categories. Prior research (Pickering

    et al., 1973; Bayus and Carlstrom, 1990) indi-

    cates that these appliances can be separated

    into three groups based on perceptual mea-

    sures: major home appliances (stove, re-

    frigerator, washer, vacuum cleaner), house-

    wares (coffee maker), and entertainment

    items (color TV, VCR).

    Information on the age (in years) and con-

    dition (three-point scale: good, fair, poor) of

    currently owned units was also collected. De-

    mographic data such as age of household

    head (in years), income (eleven-point or-

    dered scale), and whether a spouse was em-

    ployed (if married) were also available. Fi-

    nally, information on the length of residence

    at the current address and expected future

    household financial situation was collected

    (three-point scale: better, same, worse than

    now). *

    Completed questionnaires were received

    from 407 households owning their home or

    condominium, representing a response rate

    of over 70%. The percentage of households

    2

    We note that Van Raaij and Gianotten (1990) use a five-

    Since replacement intentions were collected using a four-

    point scale (much better to much worse than now) to

    point scale, estimation procedures such as multinomial logit

    measure future household financial situation. In their analy-

    or probit, or ordered logit could also be used. However,

    ses this scale is assumed to have equal interval properties.

    other analyses (using an ordered logit model) not reported

    Since the true nature of such a scale has not been estab-

    in this paper indicate that the main conclusions remain

    lished, we use a three-point ordered scale, but only assume

    unchanged. Thus, for ease of interpretation we report re-

    ordinal properties.

    sults based on a binary dependent variable.

    owning these eight home appliances was gen-

    erally over 70%. Demographic profiles of the

    entire panel and the samples of respondents

    and nonrespondents are given in Table 2.

    Generally speaking, the sample of respon-

    dents is a little older and has a smaller

    percentage of households with a working

    spouse than the nonrespondents. No statisti-

    cally significant differences exist in terms of

    household income, education of the house-

    hold head, and the percentage of married

    households.

    Most of the variables in Table 1 have

    natural definitions based on the survey ques-

    tions.

    Replacement intentions were di-

    chotomized into positive (1 = definitely or

    likely) and negative (0 = not likely or defi-

    nitely not) intentions by combining response

    categories. 3 Since unit condition was re-

    ported using a three-point scale, two dummy

    variables are used to represent perceived unit

    condition (GOOD = 1 if unit condition is

    good, 0 otherwise; POOR = 1 if unit condi-

    tion is poor, 0 otherwise). Similarly, expected

    future household financial situation is repre-

    sented by two dummy variables BETTER =

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    B.L . Bayus, S. Gupta / Consumer durable replacement intentions

    263

    1 if expected financial situation is better than

    now, 0 otherwise; WORSE = 1 if expected

    financial situation is worse than now, 0 oth-

    erwise). Relating these dummy variables to

    Table 1,

    POOR

    and

    BETTER

    are hypothe-

    sized to have positive coefficient signs, and

    GOOD and WORSE are hypothesized to be

    negatively related to replacement intentions

    and purchase. MOVED is defined as 1 if the

    household has lived at the present address

    for less than one year, 0 otherwise. The

    HAZARD rate for product i is calculated as

    28 t i j where tij is the age of product i for

    household j and the parameter Bi is found

    using the overall mean replacement age of

    product i (CL= i(rr/0)/). Estimates of

    mean product replacement ages are available

    in trade publications and are given in Table

    3.

    4.2 Analysis method

    In order to estimate the replacement in-

    tention model, we pooled the data for the

    407 respondent households across the seven

    products. Aftering deleting observations with

    missing values, the total sample size available

    for analysis is 2132. Supporting this decision

    are two factors: (1) due to the nature of

    consumer durables and the replacement de-

    cision, a relatively small number of house-

    holds indicated a positive replacement inten-

    Table 3

    Product characteristics for home appliances studied

    tion for each of the eight products consid-

    ered individually; and (2) the product charac-

    teristics summarized in Table 3 suggest that

    the expected relationship between unit age,

    unit condition, and intentions are similar for

    each separate product. Although the model

    developed in Section 3 does not consider

    differing effects by product category, we al-

    low for intrinsic product specific effects in

    the logistic regression model (i.e., product

    specific constants; see Chintagunta, 1992) by

    defining six appropriate dummy variables:

    STOKE (1 if stove, 0 otherwise), FRlDGE (1

    if refrigerator, 0 otherwise), WASHER (1 if

    clothes washer, 0 otherwise), CW (1 if color

    TV, 0 otherwise),

    VCR

    (1 if VCR, 0 other-

    wise), and VACUUM (1 if vacuum cleaner, 0

    otherwise). Here, coffee maker is assumed to

    be the base product (i.e., if all product

    dummy variables equal zero). Everything else

    being equal, if a particular appliance has

    some inherent replacement importance or

    priority in the household, then we expect

    the dummy variable for that product to be

    statistically significant.

    5. Resdts

    5.1 M odel fit

    The overall fit of the logistic regression

    model is very good. Classification results for

    Stove Refrigerator Washer Color

    VCR

    Vacuum

    Coffee

    TV

    cleaner maker

    Mean replacement (years) a

    ge

    15 13 12 8 7 11 3

    Mean unit age (years)

    Positive replacement intentions 15.8 14.5 11.5 9.6 4.5 11.2 4.8

    Negative replacement intentions 11.0 9.0 8.0 5.7 2.9 7.2 3.8

    Positire replacement intentions ( )

    Unit in good condition 4b 2 3 5 3 4 0

    Unit in poor condition 64 30 100 80 100 77 100

    Sample size 371 360 368 373 259 366 35

    a From Appliance, September 1984.

    Of all households owning a stove in good condition. 4% had positive replacement intentions.

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    264 B.L. Bayus, S. Gupta / Consumer durable replacement infentions

    this model are in Table 4. The percentage of

    correctly classified cases is (111 + X308)/

    2132 = 90.0%. This is better than a random

    proportional chance model, which yields a

    hit rate of

    p* +

    (1 -p)* where p is the

    prior probability of positive intentions. Esti-

    mating p = 0.131 based on the observed pro-

    portion of positive intentions, classification

    accuracy for a random model is 77.2%. Al-

    though not shown, correct predictions for

    individual products were over 85% in all

    cases. Due to the relatively small sample

    percentage of positive intentions (280/2132

    = 13.1%), it is not surprising that the logistic

    regression model predicts negative replace-

    ment intentions better than positive inten-

    tions (98% correct for negative intentions as

    opposed to 40% correct for positive inten-

    tions). This may also indicate that the model

    does not capture all of the important factors

    underlying the replacement decision. We dis-

    cuss this point in a later section.

    5.2 Estimation results

    The estimated coefficients for the logistic

    model are reported in Table 5. The model

    chi-square is highly significant. The coeffi-

    cients of the four significant variables are in

    the hypothesized direction. The product

    characteristics of perceived unit condition

    and hazard rate are significant, and show

    negative and positive effects, respectively.

    Whether a spouse is working and expected

    future household financial situation are posi-

    tive and significant. None of the product

    Table 4

    Overall model fit

    Actual

    replacement

    intentions

    Positive

    Negative

    Total

    Predicted replace-

    ment intentions

    Positive Negative

    111

    169

    44 1808

    155

    1977

    Total

    280

    1852

    2132

    Table 5

    Estimation results

    Coefficient

    5.88

    *-statistic

    0.07

    Y

    STOVE

    FRIDGE

    WASHER

    CTV

    VCR

    VACUUM

    CONDITION

    GOOD

    POOR

    HAZARD

    SPOUSE

    HHAGE

    HhYGE =

    MOVED

    INCOME

    EXP_ FINANCES a

    BETTER

    WORSE

    Model chi-square

    (d.f.)

    - 7.78

    0.12

    - 8.44 0.14

    - 7.81

    0.12

    - 7.90

    0.12

    - 8.08

    0.13

    - 8.07

    0.13

    - 2.64

    1.68

    3.71

    0.52

    0.00

    0.00

    0.30

    0.02

    0.56

    -0.31

    609.04 *

    16)

    569.04

    13.35 *

    5.94 *

    0.00

    0.15

    1.33

    0.20

    12.73 *

    a Chi-square statistic calculated as the difference in model chi

    square with and without the two dummy variables repre-

    senting this variable (e.g., see Hosmer and Lemeshow, 1989).

    * Significant at 0.01 level.

    dummy variables are significant, indicating

    no intrinsic product specific effects.

    Consistent with Kim (19891, we find that

    wifes employment status is an important

    variable related to replacement intentions.

    Supporting the results of Van Raaij and Gi-

    anotten (19901, we find that expected house-

    hold financial situation is significantly associ-

    ated with replacement intentions. Contrary

    to the results of Strober and Weinberg (19771,

    Weinberg and Winer (19831, and Winer

    (1985b) for durable ownership and probabil-

    ity of acquisition, we find no significant ef-

    fects for age of household head on replace-

    ment intentions. Unlike other studies which

    find that income is a significant variable for

    durable ownership (Nickels and Fox, 19831,

    durable expenditures (Strober and Wein-

    berg, 1977; Weinberg and Winer, 1983; Van

    Raaij and Gianotten, 19901, and purchase

    probability (Winer, 1985b), our results do not

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    B.L. Bayus S. Gupt a / Consumer durabl e replacement int ent ions 265

    show a significant income effect for replace-

    ment intentions. However, this result may be

    due to the sample analyzed (i.e., respondents

    that owned their home) and the inclusion of

    the spouses working status. Finally, contrary

    to our hypothesis, whether a household has

    recently moved is not significantly related to

    replacement intentions. We note that this

    finding may be due to the fact that very few

    households in the sample analyzed reported

    a recent move.

    5.3 Elasticities

    Aside from the statistical significance of

    the explanatory variables, it is of interest to

    consider the substantive implications of the

    model. Elasticities of the significant vari-

    ables can be calculated by determining the

    percentage change in the probability of posi-

    tive replacement intentions for a one unit

    change in an explanatory variable. Evaluat-

    ing the change in intentions for each house-

    hold and averaging across households, the

    resulting elasticity estimates are in Table 6.

    Considering the product characteristics, a

    one year increase in the age of each product

    owned increases the probability of positive

    replacement intentions by 2.91% and a wors-

    ening of the products condition increases

    the probability of positive replacement inten-

    tions by over 470%. Although the elasticity

    estimates of the four variables cannot be

    directly compared due to the different un-

    Table 6

    Elasticity estimates for positive replacement intentions

    Variable

    HAZARD

    Elasticity

    (for 1 year increase in unit age)

    CONDIT ION

    2.91

    (from good or fair to poor)

    SPOUSE

    471.89

    (from not working to working)

    EXP_ FINANCES

    18.95

    (from poor or fair to better)

    22.70

    derlying measurement scales (e.g., it is not

    clear that a change in a spouses working

    status is the same as a change in product

    condition), the values in Table 6 do show the

    considerable importance of perceived prod-

    uct condition and the hazard rate (which is a

    function of the currently owned units age)

    on subsequent replacement intentions.

    6. Discussion and conclusions

    This paper has focused on studying the

    nature of consumer durable replacements. A

    descriptive model of replacement intentions

    was developed and empirically examined for

    a set of home appliances.

    6.1 Study limitations

    Before implications of the results are dis-

    cussed, it is important to note some limita-

    tions of the study. As always, a general limi-

    tation is the use of a specific sample and

    single time period (i.e., a sample of Arkansas

    households in early 19901, which makes it

    difficult to generalize the findings to other

    samples or consumers that purchase appli-

    ances during other years. In addition, the use

    of a mail survey (and potential self-selection

    bias in comparison with other methods such

    as telephone interviewing) and the potential

    inconsistencies associated with self-reported

    behaviors limit the generalizability of the

    findings.

    In this paper, the replacement decision for

    a particular product has been studied inde-

    pendently of similar replacement decisions

    faced by a household and/or first purchase

    decisions for other durable products (or ex-

    penditure alternatives such as vacations, col-

    lege tuition, etc.). Other research (e.g., Ur-

    ban and Hauser, 1986) indicates that house-

    holds do have budget constraints and thus

    make decisions between alternatives. Our use

    of cross sectional data limits any conclusions

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    266 B. L. Bayus S. Gupt a / Consumer durabl e replacement int ent ions

    about the tradeoffs a household might make

    between the set of products owned. Individ-

    ual household data, perhaps collected in an

    experimental fashion, is needed to study this

    issue in greater detail. Studying replace-

    ments as a choice among heterogeneous al-

    ternatives is also a potential area for future

    research (e.g., see Bayus and Rao, 1989).

    Although our survey questions were de-

    signed to be valid measures of the underlying

    constructs in Table 1, due to the nature of

    the study (i.e., cross sectional and self-re-

    ported) it is possible that the causal direc-

    tion of certain relationships is confounded.

    This is of particular concern for the measure

    of unit condition, i.e., replacement intentions

    or a recent purchase might have influenced

    the reported unit condition, meaning that

    the observed significance of unit condition is

    overstated. We examined this possibility and

    concluded that such an effect, if operative,

    could not entirely account for our findings

    concerning unit condition. First, over 85% of

    respondents that reported owning a refriger-

    ator or a coffee maker in poor condition

    specified the reason for making a replace-

    ment purchase as old unit broken, ex-

    pected old unit to breakdown, or costly

    repairs needed. This indicates that the mea-

    sure has face validity. Second, across all the

    appliances considered, approximately 70% of

    respondents stating they would definitely or

    were likely to make a replacement purchase

    also reported owning an appliance in good or

    fair condition. This indicates variability in

    the measures of unit condition and inten-

    tions.

    6.2 Implications

    Researchers have suggested that the rea-

    son for the poor performance of purchase

    intentions in forecasting subsequent sales is

    due to measurement and scaling issues (e.g.,

    Juster, 1974; Pickering, 1984). Our results

    suggest that what is measured is important.

    In particular, current unit condition (infor-

    mation which is not generally collected) is a

    significant explanatory variable of replace-

    ment intentions. Since replacements account

    for the majority of observed sales of mature

    durable categories, including a measure of

    unit condition in a model of sales may pro-

    vide improved predictive power. Future re-

    search might address this question.

    Other analyses not reported in this paper

    give an initial start in this direction. As dis-

    cussed earlier, unit condition is a function of

    physical wear and tear, and maintenance and

    repair efforts. For six appliances (refrigera-

    tor, stove, washer, VCR, color TV, vacuum),

    unit age (a proxy for physical deterioration)

    is positively and significantly related to re-

    ported unit condition, and for four of these

    (refrigerator, stove, washer, vacuum> house-

    hold size (a proxy for usage) is also positive

    and significant. Only in a few cases did a

    household in our sample report having made

    any expenditures on repairs/ maintenance

    for their refrigerator or coffee maker. Future

    research needs to refine and extend the

    modelling of perceived unit condition across

    durable categories.

    Finally, our results concerning the impor-

    tance of unit age suggest a need to model

    and track the age distribution of units in use.

    In addition, modelling and estimating the

    effects of variables such as price, advertising,

    and product enhancements on this underly-

    ing age distribution is a promising area for

    further research.

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