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In this document, Lee J. Cronbach from Stanford University argues for the importance of studying aptitude x treatment interactions (ATIs) in psychology, which he believes have been impeded by the historic separation of experimental psychology from the study of individual differences. the magnitude of interaction effects and their relevance to various branches of psychology, including personality research and animal experimentation.
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LEE J. CRONBACH Stanford University
The historic separation of experimental psychology from the study of individual differences impeded psychological research, So I argued when last I had occasion to address the APA audience (Cron- bach, 1957). It was time, I said, for the'manipu- lating and the correlating schools of research to crossbreed, to bring forth a science of Aptitude x Treatment interactions (ATIs). As that hybrid discipline is now flourishing, a progress report on ATI studies is the appropriate first business of this article. It is not practical to treat here the studies of ATIs in social behavior (e.g., Fiedler, 1973; McGuire, 1969), ATIs in re- sponse to drugs and therapy (e.g., Insel & Moos, 1974; Lasagna, 1972; Schildkraut, 1970), or ATIs in learning and motivation generally. I confine my- self to ATIs related to instruction, drawing on a comprehensive review Richard Snow and I have just completed (Cronbach & Snow, in press). In that field, several research programs have brought us a long way; particularly to be acknowledged are the sustained inquiries, of Bill McKeachie, Jack Atkinson, Russ Kropp and Fred King, George Stern, David Hunt, Victor Bunderson and Jack Dunham, and Snow and his graduate students. Important as ATIs are proving to be, the line of investigation I advocated in 1957 no longer seems sufficient. Interactions are not confined to the first order; the dimensions of the situation and of the person enter into complex interactions. This complexity forces us to ask once again, Should social science aspire to reduce behavior to laws?
This article was presented as a Distinguished Scientific Contribution Award address at the meeting of the American Psychological Association, New Orleans, September 2, 1974. I thank Denis Phillips, Robert Calfee, and Lee Shulman for critical comments. My thinking owes much to Richard Snow's enthusiastic collaboration over the years, but I do not speak for him in this article. Requests for reprints should be sent to Lee J. Cronbach, School of Education, Stanford University, Stanford, Cali- fornia 9430S. •
116 • FEBRUARY 1975 • AMERICAN PSYCHOLOGIST
Some 30 years ago, research in psychology became dedicated to the quest for nomothetic theory (Hil- gard & Lerner, 1951; Koch, 1959; Merton, 1949). Model building and hypothesis testing became the ruling ideal, and research problems were increas- ingly chosen to fit that mode. Taking stock today, I think most of us judge theoretical progress to have been disappointing. Many are uneasy with the intellectual style of psychological research (Gergen, 1973; Glass, 1972; Israel & Tajfel, 1972; McGuire, 1973; Newell, 1972). Here I shall cut short my comments on ATIs as such, in order to join in that discussion. I shall express some pessi- mism about our predominant norms and strategies and offer tentative thoughts about an alternative style of work. My sense of the importance of this discussion is heightened by Don Campbell's Lewin Memorial Award address (see Campbell, in press). I would not accuse him of agreeing with me, but if you put our articles side by side you have a binocular view of the scene. First, we can take a look at ATIs themselves. The typical ATI study is a two-group experiment. The measure of outcome is regressed onto a score recorded prior to treatment. If the regression lines in the two treatments differ in slope, that is evi- dence of Aptitude X Treatment interaction. Treat-, ment A in Figure 1, thoflgh best on the average, is not equally superior all along the aptitude scale. Snow and I give a general meaning to the term aptitude, letting it embrace any characteristic of the person that affects his response to the. treat- ment. To illustrate research designs and results, I shall describe work by Domino and by Majasan. Both of these have to do with stylistic variables rather than abilities.
Domino (1968) investigated the relation of college success to the Ai (Achievement via Independence)
and Ac (Achievement via Conformance) scores of Cough's California Personality Inventory. A stu- dent scores high on Ai if he says, in effect, "I do good work when I can set tasks for myself." Domino anticipated that instructors who dominated the class—who pressed for conformity—would get poorer results from high-Ai students than instruc- tors who pressed for independent work. A natural- istic review of student grades confirmed this. And it confirmed the reverse relation for high-Ac stu- dents, the ones who say "I do well in meeting requirements others set for me." Domino (1971) added to the evidence with a manipulative experi- ment. He assembled four classes, filling two with High Ai's and two with High Ac's. The same instructor taught introductory psychology to all four sections, pressing for conformity in two and for independence in the other two. Outcomes were indeed better when the student's style of learning matched the instructor's press (Table 1). All but one of Domino's dependent variables showed the ATI he had predicted. (The exceptional variable was a measure of originality. On this, the inde- pendent students had an advantage no matter how the class was operated.) Others have found rather similar results (Dowaliby & Schumer, 1973; Mc- Keachie, Isaacson, & Milholland, 1964, Sec. VI- A-3). And, according to a personal communica- tion, Goldberg's (1972) large experiment turned up such an interaction in only one of two courses. A quite different hunch about instructor-student match was pursued by Majasan (1972). He sus- pected that an instructor communicates better to students whose beliefs on key matters concur with his. In introductory psychology, beliefs about the intellectual character of psychology would be perti- nent. Majasan developed a short bipolar scale, each item offering a "behavioristic" (B) and a
LU § O 0
Figure 1. Regressions within two treatments.
"humanistic" (H) alternative. For example: The central focus of the study of human behavior should be: (a) the specific principles that apply to unique individuals. (H) (b) the general principles that apply to all individuals. (B) (a) People's observable actions capable of ob- jective interpretation should be the primary concern of psychology. (B) (b) Psychologists should be primarily concerned with the subjective experiences underlying people's actions. (H) The instructor and the students filled out the scale at the start of the course. Majasan predicted that students who responded much like the in- structor would do best. The criterion was the stu- dent's total score over all the course examinations; these examinations were usually assembled from multiple-choice items provided by the textbook publisher.
Outcomes of a Psychology Course under Four Combinations of Personality and Treatment
Mean outcome (rescaled)^8 Student pattern
Independent (High Ai, Low Ac)
Conforming (Low Ai, High Ac)
Instructor press
Independence Conformity Independence Conformity
Exam
98 87 78 100
Course grade
100 83 66 89
Originality of thought
99 100 65 59
Student satisfaction
100 88 82 94
Note. Data are from Domino (1971).
- The value of 100 was assigned to the average score of the highest ranking group, and other averages were scaled proportionately. Here, Exam combines a factual multiple-choice test and a quality score for the final essay exam that Domino (1971) reported separately. Likewise, two satis- faction measures have been pooled.
AMERICAN PSYCHOLOGIST • FEBRUARY 1975 • 117
Inconsistencies as Higher Order Interactions
TABLE 2
Cumulative percentage of components Standardized variance component
2.00-4. 1.00-1. .50-. .30-. .10-. .00-.
Largest
12 ( 7) 29 ( 20) 47 ( 33) 65 ( 53) 94 ( 93) 100 (100)
Main effect Second largest
6 ( 7) 12 ( 13) 41 ( 40) 100 (100)
Interaction effect Smallest
6 ( 0) 100 (100)
First order
19 ( 26) 35 ( 31) 54 ( 49) 100 (100)
Second order
12 ( 22) 12 ( 22) 47 ( 55) 100 (100)
Note. Components are scaled so that the two smaller main effects and the four interaction effects sum to 1.00 within any study. Each study had an A X B X C design. Cumulative proportions in parentheses take into account only those effects having a single degree of freedom.
(^1) The interactions were not all of the ATI type. Some were interactions of situational characteristics, and rarely there was an analysis of two characteristics of the subject. I passed over studies having "replicates" as a factor, and two multivariate analyses of variance. Where a con- tinuous characteristic of subjects had been blocked in two levels, I made a correction for continuity (Cronbach & Snow, chap. 4) to increase the component of variance for that factor and its interactions. In each analysis I assumed factors to be fixed. In standardizing, I set 100% equal to the sum of the two lesser main effects and the four interactions. The largest main effect is often little more than a demonstration of the obvious, and I therefore did not include it in the scaling unit. (The residual com- ponent, which includes person main effects and numerous interactions, was typically many times the size of the other effects combined.)
For example, to predict a subject's voluntary delay of gratification, one may have to know how old he is, his sex, the experimenter's sex, the particular objects for which he is waiting, the consequences of not waiting, the models to whom he was just exposed, his immediately prior ex- perience—the list gets almost endless, (p. 256)
The Times as a Source of Interactions
I believe that the early success of Lewin et al. (1944) in the study of level of aspiration can be attributed largely to the fact that their subject samples, drawn from in and around German, and later American universities in the decades prior to World War II, were homogeneously high in achievement and low in anxiety, (p. 409)
describes the existing situation well, at a later time it accounts for rather little variance, and ultimately it is valid only as history. The half-life of an empirical proposition may be great or small. The more open a system, the shorter the half-life of relations within it are likely to be. This puts construct validation (Cronbach, 1971; Cronbach & Meehl, 1955) in a new light. Because Meehl and I were importing into psychology a rationale developed out of physical science, we spoke as if a fixed reality is to be accounted for. Events are accounted for—and predicted—by a network of propositions connecting abstract con- structs. The network is patiently revised until it gives a good account of the original data, and of new data as they come in. Propositions describing atoms and electrons have a long half-life, and the physical theorist can regard the processes in his world as steady. Rarely is a social or behavioral phenomenon isolated enough to have this steady- process property. Hence the explanations we live by will perhaps always remain partial, and distant from real events (Scriven, 1956, 19S9b), and rather short lived. The atheoretical regularities of the actuary are even more time bound. An actuarial table describing human affairs changes from science into history before it can be set in type. Our troubles do not arise because human events are in principle unlawful; man and his creations are part of the natural world. The trouble, as I see it, is that we cannot store up generalizations and constructs for ultimate assembly into a network. It is as if we needed a gross of dry cells to power an engine and could only make one a month. The energy would leak out of the first cells before we had half the battery completed. So it is with the potency of our generalizations. If the effect of a treatment changes over a few decades, that incon- sistency is an effect, a Treatment X Decade inter- action that must itself be regulated by whatever laws there be. Such interactions frustrate any would-be theorist who mixes data from several decades indiscriminately into the phenomenal pic- ture he tries to explain. The obvious example of success in coming to explanatory grips with interactions involving time is evolutionary theory in biology (Scriven, 19S9a).
Darwin considered observations on species against the background of ecologies and viewed his data in Galapagos as only the latest snapshot of an ever-
changing ecology. The positivistic'strategy of fix- ing conditions in order to reach strong generaliza-
tions (Allport, 1964, p. 550) fits with the concept that processes are steady and can be fragmented into nearly independent systems. Psychologists toward the physiological end of our investigative range probably can live with that as their principal strategy. Those of us toward the social end of the range cannot.
Social science has been dedicated to formal testing of nomothetic propositions. Given the difficulties interactions create for social science, what might a better strategy be? This has recently been dis- cussed by Gergen (1973),^3 Glass (1972), Newell (1972), McGuire (1973), Snow (1974), and Camp- bell (in press); all of them, in one way or another, propose to break away from the preoccupation with fixed-condition experiments that seek generaliza- tions. I endorse many points of these several authors that I lack time to echo here. My only major divergence is that most of the others expect more progress toward enduring theoretical structures than I do. Advocates of "theory" mean many things. I am as prepared as anyone to endorse,the value of such model building as we see McGuire or Jack Atkinson doing. But I cannot go so far as Suppes (1974), who exhorted us that theorizing is our principal duty and that in the fullness of time our successors will erect "theoretical palaces." Suppes and I both subscribe to the position that our abstract concepts perform a great service in altering the prevailing view of man (Cronbach & Suppes, 1969, pp. 122-134; cf. Gergen, 1973, on "sensitization"). But a point of view is not a theory, capable of sharp predictions to new condi- tions. The experimental strategy dominant in psychol- ogy since 1950 has only limited ability to detect interactions. Typically, the investigator delimits the range of situations considered in his research program by fixing many aspects of the conditions under which the subject is observed. The inter- actions of any fixed aspect are thereby concealed, being pulled into the main effect or into the inter- actions of other variables. The concealed inter- action may even wipe out a real main effect of the
(^3) Note Schlenker's (1974) dissent, especially on points on which I echo Gergen.
AMERICAN PSYCHOLOGIST • FEBRUARY 1975 • 123
curred during treatment and measurement. As he goes from situation to situation, his first task is to describe and interpret the effect anew in each locale, perhaps taking into account factors unique to that locale of series of events (cf. Geertz, 1973, chap. 1, on "thick description"). As results accumulate, a person who seeks understanding will do his best to-trace how the uncontrolled factors could have caused local departures from the modal effect. That is, generalization comes late, and the exception is taken as seriously as the rule, Majasan reached a fine statistical generalization, but he had no way to go behind his pretest and posttest to learn what mediated the effect. To carry the work further^ Katharine Baker at Stan- ford has gathered dissertation data on a wide range of variables. She replicated the Majasan procedure (in a smaller number of classes), adding classroom observations, and collected information on course content and assignments. Whatever regressions appear in her several classes, it is my hope that her data will enable her to give a plausible account of the mediating events that generated them. When we give proper weight to local conditions, any generalization is a working hypothesis, not a conclusion. The personnel tester, for example, long ago discovered the hazard in generalizing about predictive validity, because test validity varies with the labor pool, the conditions of the job, and the criterion. To select salesmen using a test found valid in other firms is, indefensible in the absence of solid knowledge about how aptitudes interact with the parameters along which sales jobs vary. Hence, personnel testers are taught to collect local data before putting a selection scheme into opera- tion, and periodically thereafter. Likewise, positive results obtained with a new procedure for early education in one community warrant another com- munity trying it. But instead of trusting that those results generalize, the next community needs its own local evaluation. These examples are from applied work, but the^1 same style can be used when one's motives are pure. Mischel's (1974; Mischel & Moore, 1973) work on delay of gratification shows how gen- eralized thinking can be enriched by local observa- tion. He considered data from Trinidad or Uganda or the United States against the community back-
ground. He found out what his subjects were say- ing to themselves during the delay interval and used that to explain their scores. He varied his procedures and used the inconsistencies from ex-
periment to experiment to make the case for specific interactions, The two scientific disciplines, experimental con- trol and systematic correlation, answer formal ques- tions stated in advance. Intensive local observation goes beyond discipline to an open-eyed, open- minded appreciation of the surprises nature deposits in the investigative net. This kind of interpreta- tion is historical more than scientific. I suspect that if the psychologist were to read more widely in history, ethnology, and the centuries of human- istic writings on man and society, he would be better prepared for this part of his work.
Realizable Aspirations for Social Inquiry
Social scientists generally, and psychologists in particular, have modeled their work on physical science, aspiring to amass empirical generalizations, to restructure them into more general laws, and to weld scattered laws into coherent theory. That lofty aspiration is far from realization. A nomo- thetic theory would ideally tell us the necessary and sufficient conditions for a particular result. Supplied the situational parameters A, B, and C, a theory would forecast outcome Y with a modest margin of error. But parameters D, E, F, and so on, also influence results, and hence a prediction from A, B, and C alone cannot be strong when D, E, and F vary freely. Theorists are reminded from time to time that the person who states a principle must also state the boundary conditions that limit its application. The psychologist can describe the conditions under which his generalizations have held, or the domain of which they provide an actuarial summary. He cannot often state the boundaries defining how far they will hold (Dona- gan, 1962). How could Weber, or anyone down to 1940, have told us whether the pitch "law" would apply to sonar echoes? No one had heard such echoes until the sonar apparatus itself was invented, and there was no reason for theorists to consider in advance the variables characteristic of the sonar reverberation. The forecast of Y from A, B, and C will be valid enough, if conditions D, E, F, etc., are held con- stant in establishing and in applying the law. It will be actuarially valid, valid on the average, if it was established in a representative sample from a universe of^1 situations, as long as the universe re- mains constant. When the universe changes, we have to go beyond our actuarial rule. As Meehl
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126 • FEBRUARY 1975 • AMERICAN PSYCHOLOGIST