Remembering William K. Estes

June 17, 1919 - August 17, 2011

This is a photo of William K. Estes in 1979.

Our friend, mentor, and colleague, Bill Estes, died quietly at the age of 92. His health had declined steadily in the last three months since his wife of almost 70 years, Kay, died in May. Since then he had spoken repeatedly of wanting to join her. As per his wishes, he was cremated and interred with Kay and their son, Greg, in Illinois.

William K. Estes’ long and productive career encompassed the science of learning and memory from behaviorism to cognitive science, with seminal contributions to both. Estes (born June 17, 1919) began his graduate studies under the tutelage of B. F. Skinner during the early 1940s.

The United States had not yet entered World War II. The Germans were using a new technology — rockets — to bomb England. As Londoners heard the whine of the rocket engines approaching, they stopped whatever they were doing — eating, walking, or talking — and waited for the explosions. After the rockets dropped elsewhere and people realized they were safe, they resumed their daily activities. Intrigued by these stories from London, Estes and Skinner developed a new conditioning paradigm for rats that was similar, in some respects, to what Londoners were experiencing. This paradigm, called conditioned suppression, was a new technique for studying learned fear (Estes & Skinner, 1941). Estes and Skinner placed hungry rats in a cage that delivered food pellets whenever the rats pressed a lever. The cage also had a metal grid floor wired to deliver a mild shock to the rats’ feet. Normally, the hungry rats pressed the lever to obtain food; but if the experimenters trained the rats to learn that a tone predicted an upcoming shock, the rats would freeze when they heard the tone and wait for the shock. Measuring this freezing behavior allowed Estes to quantify trial-by-trial changes in the learned response. Within a few years, this conditioned emotional response paradigm became one of the most widely used techniques for studying animal conditioning, and it is still in use today.

As soon as he completed his PhD, Estes was called into military service. He was stationed in the Philippines as the commandant of a prisoner-of-war camp, a not-very-demanding job that gave him lots of free time to read the mathematics books sent from home by Kay. When the war ended, Estes returned to the United States and to the study of psychology. Much to Skinner’s dismay, Estes soon began to stray from his mentor’s strict behaviorism. He started to use mathematics to describe mental events that could only be inferred indirectly from behavioral data, an approach quite unacceptable to behaviorists. Years later, in his autobiography, Skinner bemoaned the loss of Estes as a once-promising behaviorist, speculating that Estes’ preoccupation with mathematical models of unobservable mental events was a war-related injury, resulting perhaps from too much time in the hot Pacific sun (Skinner, 1979).

Estes built on Hull’s mathematical modeling approach to develop new methods for interpreting a wide variety of learning behaviors (Estes, 1950). Most learning theorists of that era, including Hull, assumed that learning should be viewed as the development of associations between a stimulus and a response. For example, suppose that a pigeon is trained to peck whenever it sees a yellow light in order to obtain a bit of food. Hull assumed that this training caused the formation of a direct link between the stimulus and the response and that later presentations of the yellow light would evoke the peck-for-food response. Estes, however, suggested that what seemed to be a single stimulus, such as a yellow light, was really a collection of many different possible elements of yellowness and that only a random subset of these elements are noticed (or “sampled,” in Estes’ terminology) in any given training trial. Only the elements sampled on the current trial were associated with the response. On a different trial, a different subset is sampled, and those elements were now associated with the response. Over time, after many random samples, most elements became associated with the correct response. At this point, any presentation of the light activated a random sample of elements, most of which are already linked with the response.

Estes called his idea stimulus sampling theory. A key principle of the theory is that random variation (“sampling”) is essential for learning, just as it is essential for the adaptation of species in Charles Darwin’s theory of evolution through natural selection (Estes, 1950). Estes’ approach gave a much better account than other theories (such as Hull’s) of the randomness seen in both animal and human learning, and his theory helped to explain why even highly trained individuals don’t always make the same response perfectly every time. On any given trial, it’s always possible that (through sheer randomness) a subset of elements will be activated that are not linked to the response. Estes also showed how stimulus sampling theory explains how animals generalize their learning from one stimulus (e.g., a yellow light) to other, physically similar stimuli (e.g., an orange light), as Pavlov had demonstrated in the 1920s.

Estes’ work marked the resurgence of mathematical methods in psychology, reviving the spirit of Hull’s earlier efforts. Estes and his colleagues established a new subdiscipline of psychology called mathematical psychology, which uses mathematical equations to describe the laws of learning and memory. From his early work in animal conditioning, through his founding role in mathematical psychology, to his later contributions to cognitive psychology, W. K. Estes continued to be a vigorous proponent of mathematical models to inform our understanding of learning and memory

W.K. & K.W. Estes Fund

William K. Estes (June 17, 1919 – August 17, 2011) had an enormous influence on psychological science, from his pioneering work in mathematical psychology to his collaborations with colleagues to his mentoring of students, many of whom are now leaders in the fields of learning and memory. He was recognized for his lifetime of contributions with our nation’s highest scientific honor, The National Medal of Science.

Bill also had a special role in APS’s history and success as Founding Editor of our flagship journal Psychological Science. During those years, his wife, Katherine W. (Kay) Estes, served as Founding Managing Editor. Bill and Kay were a team in so many undertakings. The W.K. & K.W. Estes Fund celebrates their contributions to psychological science.

Make a contribution online at www.psychologicalscience.org/estes-fund

A downloadable form is also available on that webpage.

- Mark Gluck,
Rutgers University

Henry L. “Roddy” Roediger, III
Washington University

I came to Purdue University in July 1973 as a brand new assistant professor. A few months before I arrived, Bill Estes had visited. I was sorry to have missed the chance to meet him, but I heard a good story about the visit from several sources.

The Purdue Psychology Department had been seeking a big equipment grant for new computers from NSF. At the time I arrived, there was a hulking machine there called a Linc 8 (it nearly filled a whole room) and two PDP somethings, maybe PDP-8s. They had cords spewing out the back, and if any one was misplaced, the whole system failed. At any rate, Purdue psychologists wanted more computers. Bill had come for a site visit, and he led the visiting team. I heard all this second hand, since I was not there to witness the event itself.

The faculty figured they needed to show off the computers doing something, so they hooked them up to slide projectors. What Bill and the site visit team saw were these massive computers making slide projectors advance at the rate of one slide every two seconds, something a work-study student could have accomplished with no trouble.

At the final meeting, after making an impassioned plea for why the Purdue Department needed three more computers, the Purdue faculty finished speaking. It was Bill’s turn to talk. A long, incredible, silence  ensued as people waited for some kind of response from the leader of the site visit team. Finally, Bill said “Does that mean you would need three more slide projectors, too?”

NSF did not give Purdue the grant. This story about Estes was told and retold for a while in the Department. I might have heard an embellished version, but probably not.  I got to know Bill a little bit years later, but never worked up the courage to ask about the Purdue site visit.

R. Duncan Luce
University of California, Irvine

Bill and I were among the creators of mathematical psychology during the 1950s. One major accomplishment was the creation of the Mathematical Social Science Board (Robert R. Bush, Clyde H. Coombs, Estes, R. Duncan Luce, and Patrick C. Suppes) that raised NSF funding to run modeling workshops at Stanford University during the summer months in the 1950s and 1960s. A second was the founding in 1964 of the Journal of Mathematical Psychology, which was soon followed by the founding of the Society for Mathematical Psychology. Although our careers frequently overlapped, we never wrote a joint paper. My wife and I often saw Bill and Kay socially when we were both in Cambridge, and we have many warm memories of dinners and concert evenings together as well as the Estes’ annual Holiday Open House. I join others in mourning the loss of a giant in the field.

George Collier
Rutgers University

The year I entered the University of Minnesota as a freshman, 1939, was a frenetic year of uncertainties and excitement. I was a putative physics major but never became part of that group. Rather, I hung out with friends from high school — Bill Estes, Paul Meehl, and Norm Guttman — in the psychology department, where the “action” and excitement were. It was a time of politics and revolution, Roosevelt, Hitler, Stalin, Franco, Skinner, Hathaway, and Feigl; it was talk, talk, talk and opinion, opinion, opinion. Kay Walker and Keller Breland, who shared graduate student offices on the third ring of the atrium in the psychology building, held forth loudly and obscenely about the virtues of operant psychology while smoking twisted Cajun cigars that Keller had brought from southern Louisiana. (Kay was shedding her “proper lady” upbringing.) Some students were touting Starke Hathaway’s experimental approach to building a personality assessment (the MMPI), others were arguing the merits of various political outlooks, and so on. There were many very bright grad and undergrad students in that group who went on to become famous. Elliott, the psychology chairman and a very proper Harvardian who had hired Skinner at Boring’s suggestion, must have wondered how he got into such a hornet’s nest. As far as I remember, Bill never participated in the violent discussions, but on our walks about campus, it was clear that he had listened.

(Click image to view larger timeline)

Bill was fiercely, but discretely, competitive. I am sure he greatly enjoyed the single B that Paul Meehl got, but we will never know. Bill was comfortable with his talent and accomplishments and tolerant of others.

Meeting Bill on campus was an experience. We’d often cross paths, traveling in opposite directions. I’d greet him, “Hi Bill,” and after walking on for 20 ft. or more, I’d hear, “Hi George.”

Bill and I took college algebra together — a requirement for all liberal arts majors. It was taught by a young instructor, Howard Herbert Campaigne, who went on to be a famous algebraist. He always interrogated students about solutions to problems during class. Whenever he asked Bill a question, Bill would just sit passively, quiet, no response. This always infuriated Campaigne: “Mr. Estes, you must study!” These encounters diminished somewhat as Bill turned in perfect exam after perfect exam, but the grand climax came one day after Campaigne laboriously wrote a particularly long proof on the blackboard. For the first time, Bill raised his hand. Campaigne, with exaggerated sarcasm: “Well, Mr. Estes, you finally have something to say???” Bill: “Three steps.” Campaigne handed Bill the chalk. Bill went to the board, put up a simple, elegant proof on it, and returned to his seat without a word. Campaigne subsequently asked Bill to shift his major to math. Bill reportedly responded, “Too boring.”

The draft was looming. Skinner saved several students (e.g., Guttman, Breland, etc.) by hiring them on the Pigeon Bomb Project (a World War II project in which Skinner attempted to make a pigeon-guided missile). Bill was originally a clinical doctoral student with Hathaway. I don’t know the arrangements, but his famous thesis research on a clinical-type of problem (quantifying anxiety) was conducted with Skinner. After finishing his degree, Bill went into the Army as a clinician. Other students also stayed at Minnesota to finish their degrees and then joined the Army or Navy. More junior students like me had left college to join Uncle Sam’s guided tour and returned after the war to finish up.

After the war, Skinner was recruited by J. R. Kantor as the ideal behaviorist and became chairman of psychology at Indiana University. He assembled a group of faculty that included Bill Estes, Clete Burke, Bill Verplanck, and Norm Guttman with the goal of establishing IU as the center of operant psychology. He had a large pigeon lab, lots of foot soldiers on the G.I. Bill, and lots of funding. He recruited me as a graduate student but ran out of money before I got there and forwarded me to Bill Verplanck, who had a huge Office of Naval Research grant. Luckily for me, Kay Estes was also in Verplanck’s lab. He had hired her on his grant to organize and run statistics on the voluminous amounts of data on the visual detection threshold that he had gathered while in the Navy. Often I overheard her swearing under her breath, “What a _ _ _ _ _ _ _ mess!” Kay took me under her wing, helping wash away the lingering memories of war by lending an understanding ear, editing and re-editing my ungrammatical write-ups for publication, etc. She was a calming influence in those early years of graduate school.

The central preoccupation at IU psychology was learning theory, argued in seminar after seminar, up and down the halls, and over many, many beers. At this time, psychology was on the threshold of becoming a science, and questions were answered by experiments. Many pigeons and some rats labored in these endeavors. Bill, an apostate operant psychologist, labored on his aberrant statistical learning theory much to Skinner’s discomfiture and that of the experimental graduate students, who were now required to complete a math minor. Bill would listen silently as Norm Guttman (a pure by-the-book operant devotee) and I argued loudly and frequently about learning theory, occasionally interjecting to correct our errant ways. It was an exciting time.

Skinner, after many years of denigrating Harvard and the “Eastern Establishment,” turned tail and accepted the offer when it came, leaving behind many unhappy IU faculty and students. When asked why, he said that he “wanted to train the future leaders of the nation in behaviorism.” Instead, he trained a cohort of brilliant graduate students. When Verplanck followed Skinner to Harvard — an opportunity that Estes had rejected — Bill took over as chair of my doctoral committee, for which I am eternally grateful. It cost him and Kay many long hours of editing my thesis. I got my PhD with Bill in January 1951 and was probably one of his early PhDs. When I was elected to the Society of Experimental Psychologists at age 77, Bill sent a congratulatory e-mail: “About time.”

Although Bill eventually left IU to grace many famous institutions during his brilliant career, he told me that he and Kay were never happier than during their years at IU, where they retired. During the 2006 SEP meeting at IU, Bill took me on a tour of the campus to show me how much IU had changed since the early days. He was clearly at home.

Bill was a gentle genius, a renaissance scholar, inspirational and compassionate, and a faithful friend.

Alice F. Healy
University of Colorado, Boulder

I am devastated by the loss of Bill and find it very difficult to write about him. As my mentor, he had a huge impact on my work and my career. Here is an anecdote that I included at the end of my chapter in one of the two 1992 Festschrift volumes honoring Bill that I edited with Stephen Kosslyn and Richard Shiffrin:

A number of years ago, I had a discussion with a group of scientists about the relationship we had with our dissertation advisors. The general consensus seemed to be that the others were initially awed by their advisors but, as time progressed, the gap between their advisor’s knowledge and their own markedly decreased. I explained that my experience was quite different: Although I perceived the same initial gap, for me that gap seemed to grow with time as my appreciation for my advisor’s wisdom steadily increased. Another psychologist in the group responded, “That’s no surprise, Alice; your advisor was Bill Estes.”

An anecdote of a different type concerning Bill:

When I was a young faculty member at Yale, I was invited to serve on an NIMH study section. That seemed like daunting assignment to me at the time. I asked Bill whether he thought I should accept the invitation, and he told me that he had never turned down an invitation for professional service himself. That statement might seem hard to believe. But here is an excerpt from a 2000 encyclopedia entry I wrote about Bill (In A. Kazdin’s Encyclopedia of Psychology), which summarizes Bill’s remarkable service to the field (beyond his role as editor):

“Estes made immense contributions as a leader of many professional organizations in the field. He was one of the founders of the Psychonomic Society and was chair of the governing board in 1972, the year when the society’s journals were started. He was also chair of the organizing group of the Society for Mathematical Psychology and was chair of the society in 1984. Estes helped shape national science policy in his roles as member and chair of numerous committees and commissions of the National Research Council and grant panels of the National Institutes of Health, the National Institute of General Medical Sciences, and the National Science Foundation.”

And that is just the tip of the iceberg.

Healy, A. F. (1992). William K. Estes. American Psychologist, 47, 855-857.

Healy, A. F. (2000). Estes, William K. In A. Kazdin (Ed.), Encyclopedia of psychology (Vol. 3, pp. 237-238). Washington, DC: American Psychological Association and Oxford University Press.

Michael S. Gazzaniga
University of California, Santa Barbara

I met Bill only once, back in the heyday of split-brain research. Not everyone was excited by these findings. While riding up in the elevator at Rockefeller University, George Miller introduced me to the great American psychologist William Estes and said, “You know Mike, he is the guy that discovered the split-brain phenomenon in humans?” and Estes responded, “Great, now we have two systems we don’t understand!”

It was a sobering moment!

Douglas L. Medin
Northwestern University

One way to remember Bill is through stories. When I finished graduate school, I became an NIH postdoc with Bill at Rockefeller University. Mathematical psychology was new for me, and I had to work hard. Bill was an excellent role model in that regard. Finally, midway through the fall, I decided to take an evening off and attend a string quartet performance. To my considerable relief, Bill and Kay were also there. I was just thinking that even the stars in the field take time off, when I glanced down to where they were sitting and saw Bill pull out a small piece of paper and a pen and start writing. That ended the concert for me.

Soon after I came to Rockefeller University, Michael Cole and his lab group, fresh from doing cultural work in Liberia, joined the faculty, and he had his offices on the same floor of the Tower building as mine. By this time, I was enchanted with the elegance of mathematical models, including the ability of these models to account for some of my dissertation data. I thought Bill might be allergic to the kind of research that Mike was doing, and I once had the temerity to ask about what he thought of it. After the usual Estes pause, he proceeded to patiently explain to me that research areas often develop in different ways depending on the challenges they face, and that mathematical models only come into play at particular points of opportunity. Bill was a big fan of Mike’s research. Lesson learned.

Bill also taught me about the importance of failure. He once told me about how his first grant proposal in visual information was turned down because reviewers thought he should stick to his work on learning, and it wasn’t until after he had published two Proceedings of the National Academy of Sciences papers on visual detection that he was able to get support. He went on to say that his grant proposal (actually the one that led me to postdoc with him) on reinforcement was also turned down, and he was able to get funding only after he published new theoretical papers on rewards as information (despite Estes and Skinner, 1941). He probably inspired Michael Jordan’s video on failure.

During that first year at Rockefeller University (when Bill had Don Robbins, Liz Bjork and me as postdocs, and George Wolford and Gordon Allen as graduate students), we all worked hard, but it was very difficult to tell what Bill thought of our performance. Finally, toward the end of the year, I got up my courage, went to Bill’s office, sat down with him and asked “How am I doing?” After a pause about three times the normal Estes length, during which Bill stared out the window and did a bit of the Bill Estes whistle, he finally turned to me and said, “Well, how do you think you’ve been doing?” I later learned that if you wanted to know what Bill thought of you, you could just ask Kay (“Bill thinks the world of you”), though she no doubt embellished a little (or maybe Bill thought the world of everyone).

But whether he showed it or not, Bill cared. Just one more note on this theme. Bill edited the Erlbaum six volume series, the Handbook of Learning and Cognitive Processes, which came out in the mid 1970s. Bill asked me to read and comment on a fair number of drafts of the contributed chapters, but I never saw the letters that went back to the authors and Bill never gave me feedback on whether my comments and suggestions were useful or off base. He did give me a copy of the volumes as they came out, and one day I noticed inside the cover of Volume 2 a handwritten note that said: “For Doug — No.1 Consultant. Bill

I miss him.

William H. Batchelder
University of California, Irvine

My story concerns probability learning. Most of us in the early 1960s were analyzing and comparing linear operator and stimulus sampling theory models for the two-light guessing experiment, known as probability learning. Under various sequential reinforcement rules, we would derive things like the conditional probability a participant would make an A(1) response on Trial n given various short past sequences of responses and reinforcements. These derivations could be rough, and I remember working through the night to get them straight. About 15 years ago, Bill came to the University of California, Irvine, and gave a colloquium on learning models. He was comparing a set of five or so learning models on a complex set of data. One was based on a Hebbian rule, and there were variations on that. One of them, I can’t remember which, was fitting the learning curve best. I raised my hand and asked Bill why he didn’t try to compare the models on their predictions of conditional probabilities like we used to do for probability learning. His response was something like, “I can’t believe all the time I wasted trying to differentiate models on those sorts of statistics.” It took me quite a while to recover from that.

Gordon Bower
Stanford University

The passing of Bill Estes closes out a significant chapter for all of psychology and for me in a personal way. I have been very saddened, as I’ve followed the steady decline of Kay and Bill in the reports from their son, George, and their frequent visitor, Mark Gluck. Yet, Bill’s death also resurrects many happy memories for those of us who are thankful for having known him.

William (Bill) K. Estes and Katherine (Kay) W. Estes

William (Bill) K. Estes and Katherine (Kay) W. Estes

Bill and I shared a long history of some 54 years. He became a mentor for me in the early days of my career. I first met Bill when I was a second-year graduate student at Yale and was invited to the 1957 summer Institute on Mathematical Learning Theory. That Institute was sponsored by the Social Science Research Council (SSRC) at Stanford and led by Bill, Pat Suppes, and Bob Bush. During that 6-week Institute, Bill and I formed a solid intellectual bond. Like many others, I was inspired by his insightful ideas. He encouraged me to write up my ideas as two chapters in the conference volume, Studies in Mathematical Learning Theory (Bush & Estes, 1959). We kept up a lively correspondence as I moved from Yale graduate school to Stanford in 1959 and he moved from Indiana to Stanford in 1961. Perhaps a basis for our early connection is that Bill and I both had roots in animal conditioning. Also, I was diligently recasting Hullian learning theory (dominant at Yale at that time) into the language of stimulus sampling theory (SST). Although that common interest established for us a satisfying linkage of SST to traditional work in animal conditioning, it did not yield the experimental work in human learning carried out later by Bill and then me.

Bill’s time at Stanford coincided with the 1960s growth of our mathematical psychology program led by Bill, Pat Suppes, Dick Atkinson, and me. That program attracted a large influx of bright young students, many of whom have become renowned contributors to our field. For all of us, Bill was our master teacher, lodestar, guru, and leader. As he was leaving Stanford for Rockefeller, the math psych program was being transformed into general cognitive psychology. Bill and I kept in touch, and he continued to inspire me from a distance. I expressed my appreciation and admiration of him in a chapter, Estes’ Stimulus Sampling Theory, in the 5th edition of Theories of Learning (Bower & Hilgard, 1981). In 1994, I wrote a retrospective appreciation of Bill’s seminal Psych Review (1950) paper that had launched mathematical learning theory. We also spoke at and contributed chapters to each other’s Festschrifts: Bill’s at Harvard in 1992, mine at Stanford in 2005 when Bill was 86 years old! Throughout the years I had many opportunities to tell Bill and Kay how very important he was in my life and career and how central he was to the significant advances in modern psychology.

His amazing persistence and dedication to psychological science and his willingness to share and give of himself so freely were always powerful inspirations. I owe him a lifetime of loving gratitude.

Richard M. Shiffrin
Indiana University

I have found myself unable to write about both Bill and Kay in these last several months because I have so many memories and so many stories, I did not know where to start. Perhaps with my days at Stanford in the 1960s? My two sabbaticals/leaves with Bill at Rockefeller in the 1970s? The “Estes Family Dinners” at Psychonomics? Harvard’s remarkable mistreatment of Bill (and the William James house)? Bill’s final academic stop at Indiana, where he joined and was an active (for Bill) participant in my lab meetings every week? His sage advice and insistence on scientific quality at our faculty meetings? Our relations as neighbors in Bloomington, with houses 100 yards apart?

I’ll contribute two stories, albeit of a somewhat embarrassing nature:

First, the letter accepting me to Stanford University graduate school was signed by someone I had not heard of, someone named Estes. Never having been west of New Jersey, and still unsure whether to pursue psychology, law, or mathematics, I wrote back to this Estes person with a series of (inane) questions that had nothing to do with psychology or the graduate program. Instead, they were questions about trivial aspects of living in the Stanford area. One of many (idiotic) questions mentioned my worry about local parking spaces and the charges if I drove my car west. It took some time for Bill to respond, but the letter that eventually came was succinct and consisted of one line: “There is a good chance you will find parking.” Perhaps my letter prompted Estes to send me to Bower my first year…

Second, we have heard much about Bill’s excellent sense of humor. But this quality did not appear in such overt manifestations as smiling and laughing, a fact that had unforeseen consequences. When we held the fest for Bill at Psychonomics, I had trouble designing my talk. Knowing that Bill tended to be embarrassed by long speeches of praise, I decided to give a humorous talk, making light fun of his long years of research (this was, just barely, possible). When it was my turn to speak, I talked seriously before the silliness began. For just a moment, a few smiles started to emerge, but then all heads swiveled to look at Bill. He was not laughing. All the smiles stopped, and all the gazes turned back to me. No one would laugh if Bill didn’t, and he didn’t. Having no choice, I gave the prepared talk. In principle, the speech was quite funny, but in practice I learned firsthand the meaning of “dying on stage.” Later, Bill told me that he found the talk amusing (perhaps he was trying to console me?), but I am reasonably certain he would have enjoyed it more had the audience shown any overt signs that they also saw the humor.

Bill was a remarkable man and remarkable scientist. He saw more deeply into most subjects than anyone I knew. He had a tendency to think before he spoke, a style that seems to have gone out of vogue. He was actively engaged with research well into his 80s, and made insightful contributions to the research of postdoctoral visitors and graduate students in my lab right up to the days when ill health forced him and Kay to move east. It was often “funny” to be discussing research by some lab member, and then move on to another project, only to have Bill sit up straighter, clear his throat, and make some deep comment about the project we had left behind. I had the pleasure of watching this style of interaction from the 1960s to the 21st century.

He had a life and career worth celebrating.

Robert A. Bjork
University of California, Los Angeles

I feel that I could go on and on about this great man. We have lost a towering figure in our field, however slight of stature he may have been physically, and many of us have lost someone who managed to be, all at the same time, a mentor, colleague, and friend.

I’d like to share two stories:

The first involves my wife, Elizabeth Bjork, who joined Este’s Rockefeller lab in 1968 as a Research Associate. Bill was still in the process of setting up the lab, and Elizabeth (then Elizabeth Ligon) joined a group that included Doug Medin, George Wolford, and Don Robbins, plus Alice Healy and Steve Reder, who were beginning graduate students. We had warned Elizabeth before she left Michigan about Bill’s long pauses and how awkward those pauses could feel when interacting with him. What we heard back from Elizabeth, though, was a different story — about how, for example, Bill would drop by her office, put his feet up on the desk, and chat about what was on Broadway, where to get good ethnic foods, and so forth.

We were of course surprised by this apparent change, but the truth is that the early Rockefeller period seemed to be an unusually happy and relaxed period for Bill. In addition to having animated research discussions, the lab, as a group, including Bill, got caught up in matters such as whether Mark Spitz would win six gold medals in swimming in the 1968 Olympics, whether the Mets would win the 1969 World Series, and, especially, the 1969 U.S. Chess Championship, played in New York.

The second story is from the Ventura Hall era at Stanford. For a whole week the staff in Ventura Hall had put up big signs and banners announcing that “Friday is WKE Day,” meaning that we would celebrate Bill’s birthday that Friday. Bill never gave any sign of noticing all this advertising, and I remember worrying that the event was going to be very awkward. When we did finally gather and sing “happy birthday” to Bill as he came into the room, he looked around at everybody and, when the singing stopped, said, “What a surprise!” He then went on to be gracious, funny, and even loquacious. Only one of the many times Bill confounded our expectations.

Edward Smith
Columbia University

Bill Estes meant a great deal to me. Though I was already an assistant professor when I met him, he was a true mentor, as important to me as my graduate-school advisors. He had a deep intellect and was unusually kind to younger people in the field. I spent a sabbatical year with him at Rockefeller in 1976 and 1977, and it was one of the best years of my professional life. He was tremendously supportive in every way, and a great help to me and Doug Medin (then a postdoc) when we were writing a book together, which we dedicated to Bill. During that year, one of the of things that amazed me about Bill was that he left his office door open all the time, and if you wanted to talk to Bill you just knocked on the door and he would drop what he was doing and talk to you. I’ve never seen anything like it before or since. I last saw Bill about a year ago in New Jersey at what was to be Kay’s last birthday party. It still felt good to be in his presence.

Patrick Suppes
Stanford University

I first met Bill Estes in 1955, when we both were fellows at the Center for Advanced Study in the Behavioral Sciences, then as now, located at Stanford, but not part of Stanford until recently. I came to the Center with my only background in psychology being some earlier work in the measurement of subjective probability and utility. But in September of 1955, not long after our arrival, Bill and I began talking about his work in learning theory. At first it was mainly a matter of my listening to what he had to say. Pretty soon, I began thinking about what he had to say in terms of a formal axiomatic foundation, because I had already published some papers on the axiomatic foundations of classical mechanics and had been thinking of myself as mainly a philosopher of physics.

<p align="left">A photo of Estes (fourth from left in the first row) with other Members of the Institute for Mathematical Studies in the Social Sciences at Stanford in 1967. First row: Lester Hyman, Richard Atkinson, Ed Crothers, William Estes, Gordon Bower, Harley Bernbach Second row: Unknown, Bill Mahler, Richard Shiffrin, Steve Link, Elizabeth Loftus, George Wolford Third row: Gordon Allen, David Tieman, John Holmgren, Bill Thompson, David Rumelhart Fourth row: Ken Wexler, Rich Freund, John Brelsford, Leo Keller Fifth row: Mike Clark, David Wessel, Peter Shaw, Don Horst, Dewey Rundus. Members not pictured include Pat Suppes, Guy Groen, Bob Bjork, Dave Wessel, Gary Olson, Bill Batchelder, Hal Taylor, Joe Young and Jim Townsend.</p>

A photo of Estes (fourth from left in the first row) with other Members of the Institute for Mathematical Studies in the Social Sciences at Stanford in 1967. First row: Lester Hyman, Richard Atkinson, Ed Crothers, William Estes, Gordon Bower, Harley Bernbach Second row: Unknown, Bill Mahler, Richard Shiffrin, Steve Link, Elizabeth Loftus, George Wolford Third row: Gordon Allen, David Tieman, John Holmgren, Bill Thompson, David Rumelhart Fourth row: Ken Wexler, Rich Freund, John Brelsford, Leo Keller Fifth row: Mike Clark, David Wessel, Peter Shaw, Don Horst, Dewey Rundus. Members not pictured include Pat Suppes, Guy Groen, Bob Bjork, Dave Wessel, Gary Olson, Bill Batchelder, Hal Taylor, Joe Young and Jim Townsend.

It ended up being a wonderful year. Bill and I worked together almost every day. We did not finish a single paper, but we started two large pieces of work, which were written up as technical reports by 1959. The first was on the foundations of linear models, published in the well-known volume on studies in mathematical learning theory edited by Bob Bush and Bill. The second remained as a very long unpublished technical report entitled “Foundations of Statistical Learning Theory II: The Stimulus Sampling Model” (Technical Report 26, Institute for Mathematical Studies in the Social Sciences, Stanford University). I enormously enjoyed writing this long report with Bill, and I still remember the intense concentration we put into finishing it in August of 1959. In 1974, we published a reduced version in a book edited by Dave Krantz, Dick Atkinson, Duncan Luce, and myself.

In my long academic career I have had many collaborators, but the work with Bill in the late 1950s is still vivid in my memory, perhaps because I was learning so much from him while we were working together on something new. Bill and I did not collaborate on any further work, even though we had many conversations about research that we would like to do but never quite managed to start. We remained close friends, and I got much encouragement from Bill to continue my work in psychology, especially now that he had trained me so well.

One further remark about Bill. A lot of smart people have done superb work in learning theory and other parts of psychology related to it since 1950, but there is something really special about Bill’s work. His 1950 article in Psychological Review entitled “Towards a Statistical Theory of Learning” marks a historical turning point. Prior to 1950, there were many able and intelligent psychologists who wrote about learning. This list includes Guthrie, Hilgard, Hall, Skinner, Thorndike, Thurstone, Tolman, and Watson. Bill’s seminal 1950 contribution was more radical than it seemed. Why was this so? For the first time an approach to learning theory had a framework of concepts that permitted serious mathematical development and, thereby, a variety of quantitative predictions that could be thoroughly tested from a statistical standpoint. This was a revolution, and it should be understood in many ways as the greatest intellectual contribution Bill made to the history of psychology. This is not the place for me to spell out this argument in more detail. Still it is important to note this point for the many younger scientists that Bill influenced so much, but perhaps they are too young to be very familiar with the revolution of the 1950s that Bill started. Here is the memorable first sentence of his famous paper:

“Improved experimental techniques for the study of conditioning and simple discrimination learning enable the present-day investigator to obtain data which are sufficiently orderly and reproducible to support exact quantitative predictions of behavior.”

Janet Metcalfe
Columbia University

I knew Estes mainly as an editor and as a mentor from afar. He published my PhD Thesis — our first encounter — but he made me work for it, requiring the “small” revision that I take into account several decades of work. He did this as if it were just an obvious thing to do. It made an impression.

Bill was not just a touchstone scientifically, he was one of the most important figures in turning cognitive psychology into a community of researchers, all dedicated to understanding the big questions. I recall that when I was about to move to the East Coast to go to teach at Dartmouth University, Bill called me and invited me and my daughter Teal to stay with him and Kay in Boston to ease the transition. And stay we did, in William James’ home, which was then Kay and Bill’s home. Connections, through Estes, back to William James, and into the future.

He was an inspiration, and I’m very happy I was one of those many individuals who he so graciously took under his wing.


Stephen Link
University of California, San Diego

What a loss to us all. Bill was a giant in so many ways. We both worked the streets in right-wing neighborhoods for the Democratic Party in the 1964 election — Bill contributing his time to help ensure the defeat of Barry Goldwater. He had a positive view, I think, of my involvement in graduate student politics at Stanford and various anti-war activities.

We had a nice communication about this and that. When speaking on the phone we carried on a normal conversation. People asked me how it was that we simply talked back and forth, so here is the answer: At Ventura Hall, we developed mathematical models for various psychological processes. About that time, O. Hobart Mowrer (1960) published two terrific volumes on learning and a two-factor theory of learning. As part of an advanced course on learning theory, Bill asked me and a beautiful colleague from Statistics to develop a mathematical model for Mowrer’s two-factor theory and develop some predictions.

Frankly, I was more interested in my colleague than the topic, in part because the Markov Models we customarily used did not provide a basis for the time-dependent stochastic processes that most interested me. Still, the project was of theoretical interest. Yet, we made little progress in developing any decent predictions, let alone a good representation of Mowrer’s theory.

The fateful day arrived when I was to show Bill the wondrous work we accomplished. I waited outside his Ventura Hall office for my opportunity to regale him with theoretical triumphs. Finally, I entered and sat to the right of him at his desk. From the desk he pulled out the writing board and asked what I had. On the writing board I placed a sheath of papers with various starts and stops toward a two-factor theory of learning. It was really awful work. No, awful is not sufficient to describe my view of it.

The interview was death inspiring because I would make a positive comment about the work and then wait for a long, long, long time before beginning to mention another positive aspect of the dreadful work in the hopes of receiving a response. But responses were just not there — only silence. He looked through many pages of calculations. I knew the work was dreadful, but what was Professor Estes to say about it? Perhaps he was trying to think up something nice to say. Long, long, long delay. Perhaps my graduate career just came to an end? Finally he said something but it had nothing to do with what I had just said. What did it have to do with? Oh no, perhaps he discovered a really deep flaw in the whole approach. I better make some more positive comments about the model and drag it out of the fire. Long, long, long delay. Sitting, waiting. Long, long, long delay. God, it’s so bad he can’t think of anything to say.

I decided to relieve him of the burden. I got up and made for the French doors some eight steps away. My hand was on the door lever, pushing the door to slip away into obscurity, when I heard, “Whoa, Steve, I haven’t finished with you yet.”

Ever since that moment we were able to talk back and forth with ease. On the phone or at conferences about politics, models, economics, good food, or whatever. My graduate career continued, and I profited from so many of his encouragements and acts of good will.

He was wonderful.I miss him

James T. Townsend
Indiana University

Like the man himself, the stories of Bill Estes, and Kay also, are the stuff of legend — they touched and influenced many people’s lives.

Already, we’ve witnessed several stories where Bill’s famous laconism played a featuring role. While working at NASA-Ames the first summer before my first term at Stanford began, Ron Kinchla, who had been a student of Dick Atkinson’s at UCLA, warned me of Bill’s terseness of speech before my first meeting with him. It was to no avail; I followed in the track of countless others by waiting for his responses as long as I was able, only to begin sputtering just at the instant Bill finally began answering.

I think it is fair to say that Bill became a kind of intellectual centroid at Stanford during his years there. He bore a certain gravity that belied his years and lent additional authority to his insight and wisdom. He was equally at ease in discussion with animal behavior scientists, the emerging cognitive psychologists and cognitive scientists, the embryonic mathematical psychologists, what were then called physiological psychologists, in addition to philosophers, educators, statisticians, mathematicians, and computer scientists.

In my second year at Stanford, in the golden days of math psych, Bill was offering an advanced seminar on learning theory in the Ventura Hall lecture room. There were around six or eight grad students in the seminar. Bill had given out a rather challenging homework problem(s) involving derivation of variances and covariances for one or more proposed models. Well, as the perspicuous reader can likely foresee, only two or so of the participants had done the homework. With an ominous and gradual, but inexorable march, Bill went to one after another of the sheepish bunch. When he had completed the disappointing survey, a very, very long (or so it seemed) silence ensued. Then, sans any verbal statement at all, he simply picked up his lecture materials and departed the room. Needless to say, there were no more issues regarding homework laxity from our group.

I suspect that many of the Friday afternoon Ventura Hall seminar crowd will recall that episode in the context of Bill’s reply to Karl Pribram’s objection to “slot” memory models, to the effect that he had never found those in the brain — Bill’s riposte after the traditional everlasting latency: “Karl, that’s because they’re little!”

Michael T. Turvey
University of Connecticut

This is my favorite Bill Estes remembrance, granted the inevitable embellishments that follow from three decades of retelling.

It was Mid-Summer’s Day in Uppsala, Sweden in 1977. A number of leading scholars of memory were in Uppsala for the conference on Perspectives in Memory Research organized by Lars-Goren Nielson in honor of Uppsala University’s 500th Anniversary.

Our Swedish hosts organized an evening affair in the spirit of the national holiday. It was held at a lake. There was much food and drink, and a goodly number of graduate students from the university enjoying themselves along with the conference speakers. At some point, the Mid-Summer’s Day tradition of diving into chilly Swedish lakes in the nude was introduced to the gathered memory celebrities. As one would expect, there was some hesitancy on their part —however, the hesitancy gradually turned to courage and bravado as the evening progressed. A few of us de-clothed and dived in.

From within the gathered leading lights in memory research (Tulving, Craik, Mandler, Murdock, Baddeley, Shallice, Allport, Norman, Kintsch) there arose the question of “What would it take to get Bill to dive in?” Verbal encouragements given to Bill were (not surprisingly) without effect. Bill was, as always, taciturn. Standing, arms folded, he watched the pagan ritual in his blue serge suit, thin blue tie, white button-down shirt, saying nothing. George Mandler’s promise of “I’ll jump in if you do” only brought a grimace.

So the verbal encouragement turned to offers of money. It began small, with individual offers of $50, $250, and $500. At some point the individuals realized they might be more successful if they combined their resources. The money offered to Bill to “go naked and dive in” reached $5,000. I can still hear someone yelling (I think it was Endel) “Five thousand Bill, five thousand!” At this point Bill realized he had done enough anthropology for the evening and with a mien suggesting satisfaction with the inanity he had inspired, he went in search of a more mature beverage and a more mature crowd. He had yet to speak a word.

Robert Goldstone
Indiana University

Bill Estes’ hard-working ethic was definitely a trait, rather than a contextually specific state, for Bill. Bill was a Professor Emeritus at Indiana University since 1999, where he continued to take his work very seriously. Deep into his 80s, Bill continued to come to work every day, had an active and important research program, and was very tightly enmeshed in the psychology and cognitive science communities here. He gave many excellent talks in our “cognitive lunch” series, which I appreciate all the more because I remember Bill telling me that he didn’t believe in ever giving the same research lecture twice. The talks he presented to us would never be presented again, out of his sense of principle. Bill and I co-taught a graduate seminar on concept learning and representation, but I definitely felt like one of the students.  I learned a lot from Bill about how to make theories precise, testable, and constrained. His own models were simplified but never simplistic. They provided elegant theories based on first principles, and Bill repeatedly used these theories to unify a diversity of phenomena that others had treated as unrelated.  It’s probably a mistake to draw pat comparisons between a scientist’s personality and theories, but I do link Bill’s personal restraint and economy of speech to the parsimony of his models and their ability to explain an impressive range of empirical findings with the minimum of assumptions and representational extravagance.

Bill’s intellectual style was to be reserved, cautious, and big-pictured. He was often slow to respond, but when his response came, it was worth the wait. The academic world seems to getting increasingly fast paced, putting a premium on reaction over reflection, and scientists often seem to becoming increasingly ego-invested. In this context, it›s useful to remember that there are alternatives, and Bill provides a most excellent exemplar of a reflective scientist with exacting and uncompromising standards, who was always interested in the science itself. Bill will be greatly missed here at Indiana University, where he started and finished his professional academic career

James J. Jenkins
The City University of New York

Bill has very strong Minnesota roots — both he and Kay are Minnesota PhDs. Bill was recruited under the belief of the Chair, Richard M Elliott, that Minnesota would have to find their good graduate students at home. Estes, Meehl, MacCorquodale, Guttman, Baron, and others were all local students who stayed and went to graduate school at Minnesota. Bill’s father still lived in Minneapolis, so Bill came back from time to time. One time after he gave a colloquium, I entertained Bill and the other faculty at my home. Gardner Lindzey, a gregarious man if there ever was one, tried late in the evening to get Bill to talk with a long preamble relating to the time they had both been at the Center for Advanced Study in the Behavioral Sciences. At the conclusion of his remarks, Gardner said something like, “It was wonderful, wasn’t it?” After a suitable pause, Bill nodded agreement. That was all. Gardner gave up and went home.

That evening, I drove Bill to his father’s house and to my amazement, he talked fluently the whole way about his student days at Minnesota.

The lore of Bill as a student, however, was in keeping with his reluctance to speak. In the compulsory doctoral seminar conducted by Elliott, it is said that there was a long violent debate on some issue. Bill remained silent. Finally, Elliott said, “Bill, what do you think about this?” Whereupon, Bill went slowly to the board, analyzed the problem, settled the issue, and then quietly sat down. Discussion over!

While Bill starred in many places during his career, he is fondly remembered as one of Minnesota’s own. All of us will miss him.

View a timeline of William K. Estes life and achievements.

Observer Vol.24, No.9 November, 2011

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These reflections brought back many memories for me as well. I went to Stanford in 1967 to work with Estes, having read a lot of his work as an undergraduate at Minnesota. Of course one of the first things I learned was that at the end of that academic year he was moving to Rockefeller. I continued to work with him that year, doing a first-year research project on continuous recognition memory. When he left I switched advisers to Gordon Bower. But I saw a lot of Estes over the years, including acting as host when he gave the Paul Fitts lectures at Michigan. I too have many memories and many stories about interactions with him. He was a giant, and even though I’ve drifted far away from my earliest interests (I’m now in the field of human-computer interaction) my thinking about research and formal modeling was forever influenced by Bill and his work. Gary Olson, University of California, Irvine.

This is not about Bill’s personal style, which has been well conveyed by others, but by his critical role in the shift from behaviorism to cognition. Bill’s stimulus-sampling model was squarely in the S-R tradition: reinforcement worked incrementally, trial by trial, to produce strengthening between the stimulus and the response. However, after the success of this work and the following it generated, Bill shifted to the view that learning was all-or-none, that learning consisted of discrete changes. This was a major step in the direction of the Gestalt psychologists’ view of sudden insight, the “aha” effect. Bill, a leading S-R theorist, helped to bring this more cognitive view into the mainstream.

In my first year of graduate school at Harvard Bill Estes posed our class a question on a Proseminar exam that tested our understanding of the Atkinson-Schiffrin model of memory. None of us answered well. We pored over the readings he had assigned us and didn’t find where we would have read about the model. I was elected to talk with Bill. As I presented our objection to his question he pulled out a reading assigned by another professor a week before he lectured to us, in which the model appeared, and left me with the sound advice “Don’t compartmentalize your study of psychology too much.” But that’s not all I learned from him. A few days later a small piece of paper appeared in my mailbox with a handwritten note in which Bill said he had reconsidered; the reading assigned by the other professor really had not given sufficient information on the model to allow us to answer his question, and therefore he was adjusting everyone’s grade accordingly. What I really learned from him was to give my own students’ comments and questions my full consideration and grant them their fair and due response, even if it means admitting I was mistaken. Thank you for that, Professor Estes.

I spent my first sabbatical working with Bill in his Mathematical Psychology Lab at Rockefeller. It was the fall of 1976 and one of the most intellectually stimulating periods of my life. Often, at lunch, I’d ask Bill a question, to which he would think quietly for a while before giving a thoughtful response. He was always encouraging, and I admired him deeply. My most poignant memory of Bill was the day I arrived in the lab and found him vacuuming my office. I asked him to stop and said that it was I who should be vacuuming his office. That was a long time ago, but I’ve never forgotten his kindness.
John Seamon
Wesleyan University

It was easy to feel insignificant upon getting to know Bill Estes. I recognize that feeling that the longer I knew him the larger the gap seemed to grow between what he knew and what I knew. So I will forever treasure the memory of opening a Christmas card from him and Kay several years after I left Harvard. In his own dear hand, Bill had written, “Let us know what’s doing sometime.”

Those doing the remembering here read like a who’s who of psychology, and the portraits painted are vivid and often hilarious. We miss him, of course, but this reading was thrilling, really. What a great man he was!

It was easy to feel insignificant upon getting to know Bill Estes. I recognize that feeling that the longer I knew him, the bigger the gap grew between what he knew and what I knew. So I will always treasure the memory of opening a Christmas card from Bill and Kay several years after I’d left Harvard. In his own dear hand, Bill had written, “Let us know what’s doing sometime.”

Those doing the remembering here read like a who’s who of psychology, and the portraits painted are vivid and often hilarious. We miss him, of course, but this reading is thrilling, really. What a great man he was!

Presented at the Memorial Dinner in Honor of Bill & Kay Estes, 11/5/201
By Chizuko Izawa (Bill Estes’ First Ph.D. at Stanford)

A Vignette

Bill and Kay, you are here with us tonight in spirit at the 2011 Psychonomic Estes Family Dinner. In our hearts and in the hearts of our own students, and those who come after them, you will live with us forever. It is also true that an enduring intellectual kinship developed between you and us.

More than three centuries ago, Japan was governed by a Shogunate which strictly prohibited interregional shipments of goods, fearing that local lords might unite and revolt. In my hometown of Awa, now Tokushima on Shikoku Island, agricultural goods were always abundant thanks to its good soil and the ample good waters of the Yoshino River. But, neighboring prefectures often suffered from draughts. As the result, many went hungry. Two noble humanitarians, Awa-no-Jurobai and his wife Oyumi were moved by their neighbors’ plight and supported them with as much rice as possible. They came to be revered as saints. Most unfortunately, however, they were eventually executed by the Shogun’s police next to the Yoshino River, directly across from the homes of my ancestors. (I was born there 300 years later.) These humanitarians had a three-year-old daughter, Otsuru who was subsequently raised by her grandmother. Although never informed of her parents’ death, Otsuru nevertheless missed them, desiring to see them enormously. As soon as this little girl became old enough to walk 2-3 miles a day, she began a solo door-to-door pilgrimage all over Shikoku Island and beyond, in search of her parents. This historical episode was dramatized in the Joruri, Kabuki-style puppet-shows whose narrative was masterfully crafted by Utaemon, often compared to Shakespeare. This play became a much revered and annually performed classic, which still to this date attracts large audiences throughout Japan.

Similarly, plovers, Japanese sea birds annually travel great distances in search of their parents. Their loyalty is a tradition, long memorialized in classic Japanese school songs.

Because both Kay and Bill were devoted lovers of animals and music, and in tribute to them as my intellectual parents, Bill and Kay, I will sing you one of the songs that memorialize the plovers’ migratory habit in search of their parents who suddenly disappeared. The music was written by Ryutaro Hirota, the poem, by Naruaki Kashima, and rendered by yours truly, Chizuko Izawa:

(The song in Japanese)

Reading this web page has brought back many pleasant memories. In 1980 I went to Harvard to focus on a particular area of study and then quickly discovered it would be better for me to change my focus. After analyzing the entire list of Harvard faculty in psychology, I approached Bill Estes about becoming my advisor. He looked me over during a long period of silence and then said, “You look old enough to think for yourself.” From that point on, I would have walked cheerfully across hot coals to please him.

There are many events I could describe – like when a visiting professor asked Bill if he was disappointed that I was not staying in academia but instead going into industry. They did not know I happened to be working in an adjoining room. Then and also in later years Bill indicated he was also proud of his students who chose non-academic careers.

Bill was so very special as an advisor in many different ways. When I was deciding whether to publish some of my work before leaving academia, I asked him about including his name as an author. He looked at me with a bemused expression and said, “Why? You’re the one who did the work.” I think that is the only time I ever saw Bill Estes look bemused.

I was his Research Assistant for the two years after my NSF Fellowship ended. We worked closely together on many things. It felt odd to keep using “Dr. Estes”, so one day I asked him what name he preferred I use. In a very caring, even loving, manner, he requested that I continue to use “Dr. Estes” until I graduated so that other students would not feel any differences within our group.

Although Bill’s silences were legendary, another graduate student and I discovered that the muscles around his mouth were a “leaky channel” that communicated his emotions. Bill and Kay Estes were wonderful caring people that strongly impacted many lives and left an enduring legacy of intellectual exploration.

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