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    A Test of TwoPostulates

    Underlying

    xpectancy Theory^

    FREDERICK A. STARKE

    University of Manitoba

    ORLANDO BEHLING

    Ohio State University

    The descriptive accuracy of two of the axioms under

    lying expectancy theory independence and transitivity

    is examined. It was found that many individuals did not

    make work effort decisions in a manner consistent with

    these normative postulates. The implications for the

    predictive accuracy of expectancy theory are discussed.

    In recent years, a great deal of effort has been directed at gaining an

    improved understanding of the processes through which individuals come

    to expend varying levels of effort in on-the-job situations. A predictable out-

    come of this emphasis has been the proliferation of motivation theories,

    some of which (7, 14) simply identify important variables while others

    ( 1 , 23) propose various interactions among the defined variables. Campbell,

    Dunnette, Lawler, and Weick (3) label the former as content theories and

    the latter as process theories.

    Within the process group, expectancy theory recently has been dominant.

    Vro om s (2 3 ) definitive statem ent of expectancy theory proposes th at in-

    dividual effort expenditures are a function of the desirabilities of certain

    outcom es and the individual s estimate tha t these desired ou tcomes can b e

    attained. Specifically, there are three im porta nt variables in V room s pro -

    posal: instrumentality, valence (two types), and expectancy.

    Instrumentality is the subjective belief by an individual that certain

    outcomes lead to the attainment of other outcomes. It is thus an outcome-

    outcome measure and ranges from 1 (belief that a second outcome is

    attainable without the first outcome) through 0 (belief that there is no

    relationship between the first outcome and a second outcom e) to + 1

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    704 cademy of Management Journal December

    (belief that the outcome in question is necessary and sufficient for achieve-

    ment of a second outcome).

    Tw o types of valence exist in V room s form ulation. Th e valence of

    possible outcomes (such as status and recognition, which are usually

    positively valent, and working long hours, which is usually negatively val-

    en t) is labelled Vki the valence of ac tual job perform ance is labelled Vj. T he

    valence of job perform ance is hypothesized to be the result of a mu ltiplicative

    interac tion between (a ) the individual s subjective perce ption tha t certain

    job activities will facilitate achievement of desired outcomes and (b) those

    outcom es viewed as desirable by the individua l. Specifically, th e interaction

    is as follows:

    J^

    where Vj = the valence of perform ance level j

    Ijk = the instrumen tality of outco m e j for the attainme nt

    of outcome k

    Vk = the valence of outco m e k

    n = the num ber of outcomes

    Expectancy is defined as a momentary belief of an individual that an act

    on his part will be followed by a given outcome. The value of the ex-

    pectancy associated with any action-outcome pair may range from 0 (no

    relationship perceived) to + 1 (comp lete certainty that the performance of

    the act will result in the outcome). Vroom hypothesizes that expectancy

    com bines multiplicatively with the valence of job performance as follows:

    where Fi = the force (m otiv atio n) to perform act i

    Eij = the strength of the expectancy that outcome j will

    follow from act i

    Vj = the valence of outco m e j

    n = the num ber of outcomes

    The individual cognitively analyzes the alternatives open to him and per

    forms the act with the greatest positive or smallest negative force.

    Other researchers have elaborated and extended the basic Vroom model

    Of these elaborations and extensions, five models are most widely known

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    1975 Volume 18, Number 4 705

    Recently, a number of writers (2, 15, 16, 24) have questioned many of

    the features and assumptions inherent in Vroom's basic expectancy model.

    Criticisms of the theory range from concerns about the manner in which

    the variables are conceptualized to questions abou t the descriptive accuracy

    of the assumptions underlying expectancy theory. The research described

    here pursues the line of questioning the descriptive accuracy of the norma-

    tive postulates underlying expectancy theory.

    Both Vroom's original expectancy statement and the elaborations and

    refinements proposed by others place heavy emphasis on the expectancy

    core,

    i.e., the hypothesized 2(Ei]Vj) relationship which purportedly

    predicts effort. This central core is actually a work motivation variant of

    the subjective expected utihty (SEU) theory of decision making (20) and

    the likelihood th at it can be achieved before coming to a level-of-effort

    decision. The mathematical similarity between SEU theory and expectancy

    theory is evident when the formal statement of each is presented:

    SEU Theory Expectancy Theory

    I

    (P.U ) Exp ectedlevelofeffort= I

    = the prob ^bn ity of ^^^ ^ ^ ^ = the probab ility that act

    outcom e i occurring

    '

    ^ '

    '^' ^^

    ' ^'^^ ' ^^

    U. = the subjectively per- ^^ ^ * ^^ ^'^^ ^^ ^^ ^^

    ceived utihty of

    outcome i

    Vroom himself recognized the similarity of the basic expectancy core

    and SEU theory by stati ng : Th e concept of force as used here is similar to

    Luce's (1 3 ) subjective expected utility (2 3 , p. 1 8 ). Fu rther support for

    he contention that the central core of expectancy theory is similar to the

    asic SEU formulation is provided by Wahba and House (24) who trace

    he roots of expectancy theory and its relation to SEU theory.

    Subjective expec ted utih ty theory has a well defined set of axiom s und erly-

    xpectancy theoi7 is an SEU-type proposal, the axioms underlying SEU

    expectancy theorists have accepted these assump tions virtually without

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    706

    Academy

    o

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    Decembe

    Independence

    Thereis norelationship between the valenceof anout

    come and the individual's estimateofthe likelihood that it will follow

    from working atacertain level of effort, i.e., rEjj.vj= .00.

    Transitivity

    Preference o rdering s of 2(E ijV j) and of Vk's are transitive.

    a. Given S(E , ,Vj) ,> 2(E ,jV ])2, and 2(E,jVj)2> 2(EuV j)3, then

    where> is read as having greater motivational force tha n.

    b ivenVji>Vj2, and Vj2>Vj3, then Vji>Vj3,

    where> is read as preferred to .

    This research useda design which overcomes a number of objection

    raised regarding previous studies

    of

    expectancy theory. W hile the perfec

    method remains elusive, the following criticisms

    of

    past studies a re largel

    met by this resea rch:

    1.

    Lack of Longitudinal Data

    Onlyafew studies (1 0, 12, 2 1 , 22 ) hav

    examined the same subjects over time.Inaddition, no studies (longitud ina

    or otherwise) have explicitly tested the descriptive accuracyof the postu

    lates underlying expectancy theo ry.

    2.

    Deficiencies in Presenting Second Level O utcomes

    Anumberofre

    searchers (4, 15, 19) have criticized past studiesofexpectancy theoryfo

    (a) faihng to present subjects with both positive and negative second leve

    outcomes (Vk's), and b) not assuring that

    each

    subject is presented wit

    his most valent outcomes. In the research reported here,

    unique

    lists involv

    ing the four most desired and two least desired outcomes were generated for

    each subject. This approach allowed greater variability in subject responses

    and minimized the possibility that common questionnaires

    for all

    subject

    would mask relationships that would be apparent on an individual basis.

    3.

    Confusing Importanc e with Desirability

    Anumberof studies hav

    departed from Vroom's (23) definition of valence (desirability of outcome

    or satisfaction anticipated from their attainment) and instead have opera

    tionally defined it in terms of its importance to the subjects. As Dachler and

    Mobley 4) note, thishasneither a theoretical nor an empirical basis

    Therefore, in this study , subjects w ere asked to subjectively assessth

    amount of satisfaction they would feel if the relevant outcome were attained

    4. Failure

    to

    Use Subjects from Multiple Organizations Pritchard and

    Sanders (19 ) argue thatitis advantag eou s to draw subjects from differen

    organizations since this increases variability

    in

    subject responses and con

    stitutes an excellent testofthe predictive accuracyof the basic expectanc

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    1975 Volume IS, Number 4 707

    METHOD

    The subjects were 54 lower and middle level managers taking a manage-

    ment development course at a Canadian university. Questionnaires de-

    signed to operationalize the basic expectancy variables were administered

    seven times over a three month period as follows:

    nstrumentality

    Subjects were asked to indicate on seven point summated scales the

    relationship they perceived between successful completion of the course

    and the attainment of both positively and negatively valent outcomes, with

    3 stated as I will definitely (vale nt outco m e inserted ) even if I do

    not

    successfully com plete this cou rse and + 3 stated as I will definitely (valen t

    outcome inserted) if I successfully complete this course.

    Each subject was initially presented with a list of 17 outcomes that have

    ost valent (four positive and two negative) outcomes. Each individual's

    choice pattern was recorded and a

    unique

    questionnaire was generated for

    irabihty, not importance, is assessed. Accordingly, valence was operation-

    lized on seven poin t summ ated scales, with 3 stated as Th is o utcom e

    uld displease me greatly if it oc cu rred , and

    3

    stated as I would be

    pleased if this outco me oc curred . Test-retest reliabilities were

    coef

    Each subject was asked to indicate his or her subjective perception that

    etc.) would lead to successful completion of the course. The subjects

    asked to indicate their perceptions in a chances in 10 format which

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    8

    cademy of Management Journal Decembe

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    1975 Volume 18 Number 4 7 9

    Effort

    A self-report (seven point scale ranging from 3 to -|-3) of effort

    expended by each subject on a week by week basis was used. Subjects were

    asked to indicate the amount of time they had spent during the preceding

    week on class-related activities such as reading the text, taking class notes,

    etc.

    As the internal a nd test-retest reliabilities indica te, the difficulties often

    encountered in using survey techniques to test expectancy theory as noted

    by DeLeo and Pritchard (5) did not arise in this study. Correlation analysis

    was used to assess the extent to which actual individual decision patterns

    conformed to the transitivity and independence postulates.

    RESULTS AND DISCUSSION

    The discussion of results is divided into two parts, one relating to the

    transitivity postulate and the other to the independence postulate.

    The data generated to test the transitivity postulate are presented in

    Table 1. (Due to space limitations, data are presented only for selected

    subjects whose responses are illustrative of the variations noted.) In order

    to determ ine whethe r a consistent ord er of effort p references existed for

    the respon dents, it was necessary to com pare the com puted effort, gen-

    by the formu la EijS(IjkVk), and actu al effort, generated by sum-

    mated individual self-report responses to questions concerning their effort.

    The computed effort is shown in an ordered array from largest negative to

    ccurred is also noted. The self-report measure of effort is then compared

    negative to largest positive) to observe the extent of agreem ent between

    It is clear from an inspection of Table 1 that none of the individuals

    Week

    6

    7

    Computed

    Effort

    - 4 4 . 0 0

    - 3 4 . 5 0

    Self-Reported

    Effort

    0.00

    0.00

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    975 Volume 18 Number 4 7

    defensible. In the present study, the consistency of valence preferences was

    assessed in two ways. First, each respon dent was given a paired com parison

    questionnaire containing his six most valent (positive and negative) out-

    comes and asked to make a choice between each pair. A total of 13 in-

    transitivities were noted in this sample

    N=54).

    Second, a subsample of

    29 respondents was given a paired comparison questionnaire containing

    only positively valent outcomes. It was felt that significantly more intran-

    sitivities would result since respondents would have a more difficult time

    distinguishing between o utcomes becau se they were all favorable and there-

    fore were no t noticeably different. In the subsa mp le, a total of 15 intransitivi-

    ties were noted, approximately double the rate observed in the entire

    sample. These findings suggest that individuals experience much greater

    difficulty in dealing with similar outcomes than they do with dissimiliar

    ones.

    The overall rate of intransitivities in this study, however, was con-

    siderably lower than that reported by Sheridan et al. This is probably

    explained by the number of outcomes respondents were asked to consider

    in each study 18 in the Sheridan et al. study and 6 in the present research.

    It seems likely that more intransitivities will occur as the number of choice

    dimensions increases.

    Independence Postulate

    The data generated to test the descriptive accuracy of the independence

    postulate are presented in Table 2. In order to determine the extent to which

    the independence postulate is an accurate representation of individual be-

    havior, the covariation between individual preferences for various outcomes

    and the expectancy that these could be attained was analyzed. Table 2

    indicates the relationship found between bo th types of valence (Vj s and

    Vk s) and expectancy. Since the Vj comp onen t is a sum, only one figure is

    gen erated for each person, w hile there are six Vk s because the re ar e six

    second level outcomes. The expectancy (Eij) component is the sum of the

    four specific behaviors noted above divided by 4. (To be conceptually

    precise, the only correlation which explicitly tests the independence postu-

    late is that between Eij and Vj; however, the correlations between Eij and

    the individual Vk s are also includ ed.)

    An inspection of the data contained in Table 2 indicates a fairly general

    distribution of significant correlations between both types of valence and

    expectancy. Although at an intuitive level this is detrimental to expectancy

    theory, it is more important to come to some conclusions about individual

    cases. When this is done, it becomes apparent that some individuals do not

    violate the postulate at all; others show multiple violations. Of the 54 re-

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    712

    Academy ofManagement Journal

    ecembe

    TABLE 2

    Correlations Between Both Types of Valence and Expectancy

    Re-

    spond-

    en t

    b^

    02

    03

    04

    05

    07

    08

    09

    f\

    1

    11

    12

    13

    14

    15

    16

    17

    18

    19

    20

    21

    22

    23

    24

    25

    26

    27

    28

    29

    30

    31

    32

    33

    34

    35

    36

    37

    38

    39

    40

    41

    42

    43

    44

    45

    46

    47

    48

    49

    50

    52

    53

    54

    V,

    - . 3 4

    .00

    .00

    .42

    .57

    .00

    ,60

    .38

    .89

    .19

    - . 8 9

    .76

    .33

    .5 ,

    .27

    .58

    .47

    .96

    .88

    .85

    .34

    - . 3 5

    .85

    .08

    .25

    - . 7 5

    .35

    .32

    - . 5 1

    - . 1 7

    - . 5 5

    .55

    - . 2 5

    Correlations Between Valence Vt)

    V,

    - . 5 1

    .56

    .05

    .40

    .15

    - . 7 3

    .30

    .89

    .00

    - . 4 2

    .99

    .04

    .40

    - . 5 6

    .14

    ,62

    .88

    - . 7 0

    .64

    - . 0 2

    .62

    .00

    - . 5 4

    .68

    - . 3 7

    - . 4 0

    .44

    - . 3 4

    - . 3 5

    - . 4 9

    - . 8 3

    .39

    - . 6 8

    - . 2 6

    - . 3 4

    and E xpectancy

    En)

    .29

    .48

    ,14

    - . 1 8

    - . 0 6

    - . 1 3

    - . 3 8

    .12

    .00

    .13

    .79

    .24

    .64

    - . 2 2

    .78

    .51

    .84

    .67

    .41

    .52

    - . 0 1

    .37

    - . 5 0

    .25

    .25

    .72

    .03

    - . 0 5

    - . 4 3

    - . 4 8

    .26

    ,14

    .63

    V,

    - . 6 7

    - . 4 4

    - . 5 2

    - . 2 3

    .64

    .50

    .25

    - . 1 3

    .27

    - . 2 5

    .93

    .34

    - . 0 5

    ,47

    - . 0 2

    .27

    .73

    ,55

    .1 1

    - . 1 8

    .3 7

    .4 4

    ,2 6

    .2 6

    .4 0

    .6 3

    - . 2 9

    .17

    .77

    .73

    .21

    - . 1 7

    .22

    - . 3 8

    .57

    .84

    .10

    .25

    - . 4 0

    .03

    .19

    - , 3 8

    .99

    ,47

    - . 1 1

    - . 4 9

    - . 2 7

    .14

    ,35

    - . 3 3

    .58

    - . 6 5

    - , 6 5

    .34

    .41

    .06

    - , 5 1

    .36

    .77

    .63

    - . 4 8

    - . 2 6

    .64

    .04

    - . 2 1

    ,22

    e

    - , 5 2

    .28

    .54

    - . 1 9

    - . 2 7

    - . 7 0

    - . 6 8

    - . 1 6

    - . 6 4

    - . 8 0

    .21

    .41

    .17

    - . 6 3

    - . 6 5

    - . 3 0

    - . 5 0

    .00

    .03

    - . 4 0

    .38

    .55

    .75

    .68

    - . 0 7

    .12

    ,22

    Correlations

    Between Valence

    V,) and

    Expectancy

    En

    v

    .90

    .83

    - , 6 8

    .23

    .25

    .27

    .71

    .47

    .11

    - . 4 2

    - . 5 5

    - . 8 9

    ,71

    - . 5 8

    .10

    .86

    .64

    - . 4 5

    - . 8 5

    ,24

    .61

    .72

    - . 0 8

    .18

    .24

    - . 3 0

    .81

    - . 4 4

    - , 6 7

    .02

    - . 2 8

    - . 2 8

    .69

    .31

    - . 3 2

    - . 5 5

    ,17

    .27

    - . 8 7

    - . 5 7

    - . 2 0

    - . 5 8

    - . 2 9

    .73

    - . 2 9

    - . 5 0

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    975

    Volume 18 Number 4

    7 3

    One major difficulty exists when analyzing data relating to the independ-

    ence postulate. Specifically, some subjectsNumbers 5, 10, 42, 43, and

    44 exh ibited no variation over the seven time periods for one or both of the

    variables of interest. The blank spaces in the matrices indica te this difficulty,

    noting that a correlation coefficient in cases of this type is not conceptually

    meaningful. When all cases of this type are removed from the analysis, 200

    correlations remain. Of these, 43 are statistically significant. This, in com-

    bination with the many coefficients that exceed .40 (but are not statistically

    significant), throws considerable doubt on the descriptive accuracy of the

    independence postulate as it relates to expectancy theory.

    CONCLUSION

    The research strategy of testing the postulates underlying expectancy

    theory rather th an testing the theory itself

    is,

    at this writing, in an exploratory

    stage. The evidence generated in this study indicates that numerous in-

    dividuals do not exhibit behavior pattern s that are consistent with two of the

    normative postulates of expectancy theory.

    With respect to the transitivity postulate, none of the subjects exhibited

    effort preference patterns consistent with the basic expectancy model. It is

    possible tha t the significance of this finding is overstated (since the criterion

    of agreement was very strict), yet an examination of the data contained in

    Table 1 leads to the conclusion that few systematic changes in effort oc-

    curred as proposed in expectancy theory. When the difficulty of the calcula-

    tions assumed in expectancy theory is taken into consideration, these in-

    consistencies are not surprising. It seems highly unlikely that individuals will

    routinely spend the time required to mak e decisions in a systematic fashion.

    Ra ther , they likely will engage in a process which only roughly approxim ates

    an SEU-type analysis, with time and cognitive constraints deterring maxi-

    mizing behavior in most routine decisions.

    In further research testing of the transitivity postulate, it will be im-

    portant to examine the effect of different numbers of second level outcomes

    and the imp act this has on determining what an accep table level of in-

    transitivity is.

    Many of the same general observations can be made about the in-

    depen dence postulate. A t this point, the two major questions are : (a )

    In a given sample, how many ind ividuals can exhibit a lack of independ ence

    between Vj and Eij before the independence postulate is clearly violated

    and (b) How do individual differences mediate the rate of nonindependent

    responses? Answers to these questions undoubtedly will be forthcoming as

    research progresses in the area of testing postulates.

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