Morris Howard Hansen, December 15, 1910October 9, 1990 | By Joseph Waksberg and Edwin D. Goldfield | Biographical Memoirs

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Morris Howard Hansen
December 15, 1910 October 9, 1990
By Joseph Waksberg and Edwin D. Goldfield
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MORRIS HANSEN WAS THE most influential statistician in
the evolution of survey methodology in the twentieth
century. Early in his career at the Census Bureau he put together and
directed a staff of mathematical statisticians and other survey
methodologists whose aim was to systematically define the principal
problems in the conduct of surveys, carry out research on these
problems, and develop the statistical methods necessary to overcome
them. This work included the development of sampling theory necessary
for the efficient conduct of large-scale national surveys, the
establishment of formal quality control methods for surveys, and the
derivation of theory and models for analyses of nonsampling errors.
Hansen prodded the Census Bureau into accepting such innovations
as the purchase of the first computer for statistical purposes, the
development of optical scanning equipment, the introduction of
self-enumeration and mail in both demographic and economic censuses, and
other survey techniques now commonly used by both government and private
organizations. He anticipated the concern that would arise over the
completeness of coverage in decennial population censuses and, long
before the current interest in the subject, he persuaded the bureau to
adopt procedures designed to improve coverage; and he directed research
on coverage problems. Both the statistical methods he and his staff
developed and the form of research staff he organized had a profound
effect on statistical agencies all over the world.
Morris H.
Hansen was born on December 15, 1910, in Thermopolis, Wyoming. His
parents, Hans C. and Maud E. Hansen, lived in the nearby town of
Worland, Wyoming, where Morris was raised. Although Morris left Wyoming
soon after graduating college, he retained fond memories of Worland, and
would talk about his childhood and adolescent experiences to his
friends. At the time of Morris's birth Worland had a population of 265
and Wyoming's population was 145,965. In the eight decades following,
Worland's population grew twenty-fold and Wyoming tripled its size;
Morris's stature increased much more. He became one of this country's,
and the world's, most prominent statisticians.
He majored in
accounting at the University of Wyoming, obtaining a B.S. degree in
1934. His stay at the university was interrupted in midstream while he
took a year's absence in order to work to earn some money. The only
statistics courses the university offered were a couple of courses in
economic statistics. Morris took the courses, taught by a very good
teacher, Forrest Hall, who stimulated Morris's interest in statistics.
He decided that he would attempt to make a career in statistics, not a
common profession in those days. Morris's subsequent formal training in
statistics consisted of after-hours courses taken at the Graduate School
of the U.S. Department of Agriculture and at American University, where
he received a master's degree in statistics in 1940. (He was later
granted an honorary doctorate by the University of Wyoming in
recognition of his contribution to survey research.) By that time he had
made himself into a highly skilled statistician, learning his trade both
at school and at work. Throughout his career he continued to learn from
those he worked with, from those he conversed with, and most of all,
from himself. Much of what we now know about sample survey theory and
methodology was developed by Morris Hansen, using his great ability to
absorb and develop and apply.
When Morris graduated from
college in 1934 there were few jobs available. He found some temporary
employment with the Wyoming State Emergency Relief Administration, and
took federal civil service examinations. His high ratings on the
examinations and the fact that Wyoming was below its quota for federal
jobs brought him an employment offer from the Bureau of the Census in
Washington. He began work in the bureau's Personnel Division in 1935,
and the following year was transferred to the Statistical Research
Division, then headed by Calvert L. Dedrick. This marked the real
beginning of what was to be a long and productive career in statistical
surveys and censuses.
During the depression of the 1930s
emergency relief agencies were handicapped by a lack of good information
about the extent of unemployment and the characteristics of the
unemployed. In August 1937 the U.S. Congress, with the strong support of
President Roosevelt, authorized a national voluntary census of the
unemployed and partially unemployed. The census was conducted in the
fall of 1937. Postal workers delivered to every household on postal
routes a questionnaire to be filled out and returned.
It soon
became evident that there were problems in getting complete and accurate
response in the census. Knowledgeable statisticians, including Dedrick
and project consultants Samuel A. Stouffer and Frederick F. Stephan,
recommended that a follow-on sample survey be conducted by direct
person-to-person interview to check on the validity of the census. The
administration endorsed the suggestion. Dedrick, who was serving as
chief of the technical staff of the unemployment census, directed the
project, called officially the enumerative check census. He brought
Morris, then not quite twenty-seven years old, into the project. Morris
helped design the sample and the statistical procedures to generate
estimates of unemployment and estimates of the standard errors of the
unemployment estimates, and to project sample estimates to smaller areas
through regression relationships. All of this, in fact the very idea of
sample surveys for official governmental guidance, was quite new.
On a very fast track, the survey was conducted in mid-November
1937. The census itself produced three large volumes of detailed data,
reporting for the nation as a whole 7.8 million totally unemployed and
3.2 million partially unemployed. The sample survey results were
published as Volume IV, "The Enumerative Check Census," written by
Dedrick and Hansen. It reported estimates of 11.0 million totally
unemployed and 5.5 million partially unemployed. The volume IV
statistics were generally accepted and used much more than the three
volumes of the census itself, which were referred to mainly for the
geographic detail they provided. This experience significantly
contributed to the acceptance of sampling by the government. Ingram
Olkin in an interview with Morris commented,1 "This was
really a major innovation in the philosophy of sampling and censuses."
This experience encouraged the Works Progress Administration to sponsor
the development of a monthly sample survey of households beginning in
1940 to provide estimates of employment and unemployment, which under
the Census Bureau became known as the Current Population Survey.
In 1941 Morris became the assistant chief of the Statistical
Research Division at the Census Bureau. William N. Hurwitz had joined
the staff in 1940, beginning a close collaboration with Morris that
lasted for almost thirty years and produced a steady stream of notable
contributions to statistical science and practice. Hansen-Hurwitz put
together and directed a staff of bright young statisticians that led the
way in developing modern scientific techniques in sampling and other
survey-related methodology.
When the Census Bureau became
responsible for the government's monthly household sample survey that
had become relied upon as the barometer of employment and unemployment,
Hansen and his team set about to improve it and to put it on a sound
basis, both in terms of mathematical theory and in terms of the
efficiency of field and processing operations. In so doing, they made it
into a model for other government agencies, the private sector, and many
other countries whose statisticians came to the Bureau of the Census for
training.
In examining the methodology for conducting sample
surveys that was considered state of the art in the 1930s, Hansen and
Hurwitz realized that the mathematical-statistical theory underlying
sampling methods was inadequate. They started to work on the development
of the necessary theory. The seminal paper that resulted from this work
was one of the first articles on the general theory of finite
sampling.2 As stated in the book Revolution in United
States Government Statistics (1926-1976),3 "[T]he
importance of the article goes well beyond the one survey . . . [I]t
represented a major breakthrough in the theory as well as the practice
of finite sampling in the social and economic fields." This paper was
followed by a number of others which developed sampling theory in more
detail. The papers included the extension of theory to cluster sampling
in which the number of elementary units is not the same in all clusters.
The work pointed out the advantages of very large primary sampling units
in a multistage sample when costs and administrative restrictions are
taken into account. The statistical properties of sampling units at
various stages of a multistage sample drawn with probability
proportionate to some measure of size of the sampling unit received
attention. Emphasis on the acceptability of an estimator was shifted
from unbiasedness to consideration of consistency and mean square error.
Hansen was an advocate of the principle that in most cases inference
from sample surveys should be based on the design of the surveys rather
than on assumed models of the population, and co-authored a number of
papers on the subject; however, he had an open mind on this topic (as
well as on most other statistical issues) and recognized conditions
under which models were useful.
In 1953 there was issued what
quickly became, and remained for a long time, the bible for sample
survey practitioners: the two-volume work Sample Survey Methods and
Theory.4 It is still considered a standard reference on
the theory and application of probability sampling. The publisher,
Wiley, reissued the book in 1993 in the Wiley Classics Library. The
distinguished British statistician T. M. F. Smith, in a lecture on
sample surveys in 1991,5 likened the contribution of Morris
and his colleagues to sample surveys as equivalent to R. A. Fisher's
contribution in other areas of statistical science, saying, "I now
realize that the contributions of Morris and his colleagues to sample
surveys represent an equivalent contribution from statistics to social
science and more generally to all forms of observational study."
Even the relatively advanced western European countries were
fallow ground for education in the new techniques, some developed by
Hansen and Hurwitz, and others by the staff they had put together and
who considered themselves disciples. One of the authors of this memoir
recalls that in the early 1950s he (E.D.G.) traveled to the western
European countries to spread the gospel and then organized and directed
an extended training course for senior European government statistical
officials at the Bureau of the Census in household sample survey
techniques and the use of such surveys to produce current labor force
statistics. A book published by the Bureau of the Census included the
lectures given in the course by Morris and others and a subsequent book,
Labour Force Statistics: Sample Survey Methods, was published by
the Organization for European Economic Cooperation. The seeds thus
planted yielded a crop of sample survey programs, modeled after the
United States, in many European countries and later in other countries.
With the established success of sampling in population surveys
Morris turned his attention to business surveys. He encountered the
attitude that, while sampling would work with populations that were
relatively homogeneous, it would not work with business surveys, where
the units were very diverse in size and characteristics and the
distributions were very skewed. Hansen and his associates were able to
show how to take advantage of this skewness with differential sampling
rates and approximately optimum allocation of the sample. Sampling was
successfully extended, with new principles, methods, and theory
developed as needed, to data gathering on manufacturing, retail trade,
wholesale trade, agriculture, government units, and other subjects,
making it possible to compile more and better information on the state
of the economy.
A parallel development was the introduction of
sampling into the major censuses. Until 1940, all items of information
in the decennial censuses of population and the more frequent censuses
of the various economic sectors were collected on a 100% basis. This was
costly, burdensome to respondents, time-consuming, and imposed
constraints on the number of questions that could be included in the
censuses.
Morris's first contribution to census-taking was to
work with W. Edwards Deming, Philip M. Hauser, and Frederick F. Stephan
in developing the sample to be used within the 1940 decennial census of
population. Some of the questions in that census were asked of only a
sample of the population. Morris and his team later were major
participants in the redesign of all the major censuses. Sample schemes
were devised not only for collecting some of the information on a sample
basis, but also for tabulation and for quality control of the census
operations. Studies by Hansen and his staff led to the conversion of the
decennial census from door-to-door canvassing by enumerators to a census
now largely done by mail with self-enumeration by the household
respondents. The change in procedure not only introduced operational
gains, but also gains in the quality of the data. The Hansen team's
experimental studies for the control of measurement errors in the
decennial census had demonstrated that correlated errors within the work
of enumerators constituted a serious problem (e.g., an enumerator who
consistently misinterpreted a particular question could destroy the
validity of that item for the entire area that he or she covered), and
that self-enumeration substantially reduced this kind of bias and also
improved accuracy of response on most items. The innovations under
Morris's leadership radically changed census procedures that had been in
effect for 150 years.
The revolutionary changes in census
methodology came about as a result of two approaches that Morris and his
colleagues pioneered. The first was the introduction of the concept of
total survey design. This meant the incorporation of nonsampling error
into the consideration of choices among alternative survey designs. In
other words, this implied recognition that when the errors resulting
from simple response and interviewer variance and the biases resulting
from the use of relatively untrained interviewers were already large,
sampling errors could be introduced, even in small areas, with very
little additional impact on quality. On the basis of this research it
became clear that better quality would result from resorting to
sampling, and using the cost savings to improve interviewer training,
supervision, and quality control.
The second approach was
related to the importance of research in the work of statistical
agencies. Morris emphasized the need to conduct both short-term research
to solve immediate problems and long-term research required to identify
issues and to look for solutions. An implicit assumption in total survey
design is that data are available to analyze components of error and
unit costs. Morris's intellect and drive led to a tacit acceptance of
the fact that research and development are essential parts of a census
program, and that a reasonable proportion of the total budget should be
assigned to these functions. Hansen and his associates developed theory
that reflects the contribution of data collectors and data editors to
the total mean square error of an estimate. The theory is widely known
as the Census Bureau model of survey error. On the basis of that model,
the Bureau of the Census has implemented the estimation of the error
contributions of enumerators in the population census and current
population survey, as well as from coders of occupational categories,
and in the economic censuses.
An illustration of how this
approach was applied in practice occurs in the considerations that led
to the decision to extend the use of sampling to most items collected in
the 1960 U.S. census. (The wide use of sampling was continued in
subsequent U.S. censuses and has also been adopted as an almost
international standard.) The studies of sampling, response, and
interviewer errors carried out on the 1950 census indicated that for
most census items the total mean square error was only slightly affected
by the introduction of a moderate amount of sampling error.6
Morris was a leader in bringing the electronic era into
statistics. J. Presper Eckert and John W. Mauchly, who were involved in
the building of ENIAC, an electronic computer built for specific
military purposes in the early 1940s, saw the possibility of adapting
the technology into the design and construction of a large-scale
general-purpose electronic computer with the capacity to process large
quantities of data such as those collected in a census. They recognized
that the Census Bureau might be interested in having such a computer and
initiated discussions with Morris, who quickly realized the potential
importance to statistical applications. Together they formulated a plan
for the design and building of a data processing computer with the
sponsorship of the Bureau of the Census. With the assistance of the
National Bureau of Standards (now called the National Institute of
Standards and Technology) negotiations were conducted that led to the
building by Eckert and Mauchly of Univac I, with input into the design
decisions by the Hansen staff. Univac I was the first electronic
statistical computer. The first of what became a series was received by
the Bureau of the Census in early 1951 and was put to work twenty-four
hours a day, seven days a week on parts of the data processing of the
1950 census.
The next major electronic advance that the Hansen
team undertook was the development of mark-reading electronic equipment
that could replace manual card punching and handle the massive data
conversion job for the 1960 census. The result was FOSDIC--Film Optical
Sensing Device for Input to Computers--invented and produced by the
joint effort of the staff of the Bureau of the Census and the Bureau of
Standards. The equipment was designed, tested, and constructed in time
for its highly successful use in the 1960 census. With successive
improvements it has been used in every decennial census since.
Hansen was the dominant force in the design of sample surveys in
the Bureau of the Census. His first major contribution was the design of
the Enumerative Check Census of unemployment in 1937 which involved a
probability sample of postal delivery routes and ratio estimators.
Sampling for some items was introduced in a decennial census in the 1940
census of population and housing and has been an integral part of
decennial censuses ever since. The 1943 redesign of the labor force
survey, now known as the Current Population Survey, is largely based on
the theoretical developments mentioned above. This is also true for the
bureau's retail trade survey and the other periodic sample surveys
conducted by the bureau. Both the methods of integrating sample data
with 100% data in censuses and the design of intercensal sample surveys
have been adopted by national statistical agencies worldwide.
Upon his retirement from the Bureau of the Census in 1968 Hansen
was invited by Edward C. Bryant, president and one of the founders of
Westat, Inc., to join the company. Westat was at that time a fairly
small statistical research company specializing in U.S. government
contract work. It was established a few years earlier by Ed Bryant, at
that time chairman of the department of statistics at the University of
Wyoming, and several colleagues at the university. Ed knew Morris
personally as well as professionally and, of course, by 1968 Morris's
reputation was well established. In addition, the two had University of
Wyoming connections. (Another alumnus of the University of Wyoming was
W. Edwards Deming. It is curious that the University of Wyoming, a
relatively small institution that did not have a particularly strong
department of statistics, produced three distinguished statisticians.
The university was apparently a close bond among the three--Hansen,
Bryant, and Deming--and they were good friends as well as professional
colleagues.)
Morris accepted Ed Bryant's invitation and was
appointed senior vice-president of Westat. Later, when Ed Bryant retired
from active participation in the company management, Hansen was elected
chairman of the board of directors. In the next few years a number of
Morris's former associates from the Census Bureau joined Westat,
primarily because of the intellectual stimulation of working with him.
His insistence on exacting standards, his leadership in inspiring the
professional staff, and his personal involvement in the design of some
of Westat's major projects were important factors in the company's
success. At Westat he had a lead role in the design of many important
national surveys carried out by U.S. government agencies and by Westat,
such as the consumer price index (CPI) and the national assessment of
educational progress (NAEP).
He was particularly proud of his
contribution to the CPI. The prevailing philosophy regarding the CPI was
similar to earlier beliefs with respect to sampling from highly skewed
distributions for business establishments, that is, "you can't do
probability sampling; it applies to other areas but it doesn't apply
here." With Benjamin J. Tepping, a frequent collaborator, Morris
proposed procedures for selecting samples of establishments and of items
to price within the establishment that followed principles of
probability sampling. Because of changes that constantly take place and
the need to keep the same sample in operation constantly, the sample
could not be kept up to date in a probability sample sense.
Nevertheless, it was a substantial advance over procedures used
previously. The Bureau of Labor Statistics adopted the new methods and
later extended them to other areas, the producers price index and the
international trade price index.
While at Westat, Morris made
important advances in methods used for quality control on welfare
programs run by the states including aid to families with dependent
children (AFDC) and food stamps. Hansen, working with Ben Tepping,
proposed federal monitoring programs using subsamples of cases that had
been examined by state quality control reviewers. Estimates of errors
were then prepared from both the state data and those reported by the
subsequent federal monitors using a double sample regression estimator.
The procedure got the maximum information possible from the data
available in the estimation of overpayments to recipients. It also made
the sanctions on the states depend on the federal investigations, not
the states. These procedures were soon adopted by the agencies
responsible for the programs.
He continued his interest in
sampling theory as well as in practical application of accepted methods.
A paper he prepared with Ben Tepping and William Madow was an important
contribution to a controversy among researchers in sampling theory and
estimation on the role of models in making inferences from survey
data.7 He wrote a number of papers relating to historical
developments in sampling theory and, more generally, to survey methods.
He also continued his role as advisor to a number of government
statistical agencies (both in the United States and Canada) and
activities in statistical societies.
A special feature of
Morris's approach to his work, which helped make him not only respected
but beloved by those who worked with him, was his strong belief in
teamwork. He did not merely direct; he collaborated. Ideas were
crystallized in one-on-one encounters and in group discussions. Morris
was exceedingly generous in sharing credit and in acknowledging
contributions. He was modest and a good listener. He earned, and
received, the steadfast loyalty of all who worked with him. He was a
major influence in the direction of the professional careers of his
staff and was a personal friend to most of them.
Morris was
much in demand as an advisor and teacher. He taught statistics courses
at the Graduate School of the U.S. Department of Agriculture. He was a
member of the Advisory Committee to the U.S. Office of Statistical
Policy, an advisor to the Program for National Assessment of Educational
Progress, a member of the Committee on Statisticians in Governmental
Service (advisory to the Civil Service Commission), a contributor to the
report of the President's Commission on Federal Statistics (1971), and a
consultant to UNESCO and to the U.N. Food and Agriculture Organization.
He visited a number of countries on consultation missions, including
Canada, Sweden, Japan, and India. In India on one occasion he met with
Prime Minister Nehru and on another occasion with Chinese Premier
Chou-en-Lai, who was visiting India at the time.
Morris was
one of the founders of the International Association of Survey
Statisticians and, virtually by acclamation, its first president.
Among the many honors and awards Morris received are the
following:
- Elected to National Academy of Sciences, 1976
- Honorary LL.D, University of Wyoming, 1959
- Rockefeller Public Service Award, 1962
- Department of Commerce Distinguished Service Award
- Fellow of the American Statistical Association (vice-president, 1951-53; president, 1960)
- Honorary fellow of the Royal Statistical Society
- Honorary member of the International Statistical Institute
- Fellow of the Institute of Mathematical Statistics (vice-president, 1947; president, 1953)
- First president of the International Association of Survey Statisticians, 1973-77
Morris was also a member of AAAS, the Inter-American
Statistical Institute, the Population Association of America, and of the
Sigma Xi, Alpha Tau Omega, and Phi Kappa Phi fraternities.
Morris's principal services to the National Academy of Sciences
and the National Research Council were:
- Member-at Large of the NRC Division of Behavioral Sciences, 1968-70
- Member of the Advisory Committee on Problems of Census Enumeration, Division of Behavioral Sciences, 1969-71
- Member of the Committee on National Statistics, 1972-76
- Member of the Panel on Incomplete Data, Committee on National Statistics, 1977-84
- Member of the Committee on Ocean Science Manpower Trends and Curriculum Needs, Ocean Sciences Board, 1978-79
- Member of the NAS Report Review Committee, 1978-82
- Member of the Board on International Comparative Studies in Education, Commission on Behavioral and Social Sciences and Education, 1988-90
Morris had remarkable energy, most of which
he devoted to his work, but he found time to be a good friend to many
and a good family man, and to get some recreation in boating and hiking.
He married Mildred R. Latham in 1930, and they had four children: Evelyn
Maxine, Morris Howard, James Hans, and Kristine Ellen. (With good
statistical technique, they were stratified evenly into two boys and two
girls.) Mildred died in 1983. Morris married Eleonore Lamb in 1986; she
survives him and remains as stepmother to Morris's children.
Morris never retired. He continued to be active as a company
executive, working statistician, consultant, author, and member of
advisory committees to the time of his death. His last paper (with
Benjamin J. Tepping) appeared only a week before he died in the
September 1990 issue of the Journal of the American Statistical
Association.
His death was followed by memorials
throughout the statistical world. The March 1991 issue of the
International Journal of Official Statistics was dedicated to his
memory. So was the December 1990 issue of the Canadian journal,
Survey Methodology, whose dedication said, "This issue is
dedicated to the memory of Morris H. Hansen, a pioneer, innovator and
leader who made fundamental and lasting contributions to many aspects of
survey methodology." An international conference on measurement errors
in surveys and a book8 containing the invited papers
presented at the conference were dedicated to his memory. Westat
provided funds to the Washington Statistical Society to establish an
annual Morris Hansen lecture, featuring eminent statisticians from the
United States and other countries.
THIS MEMOIR IS BASED on the personal recollections and files of the authors; the files
of the history branch and of Mary Ann Cochran of the Bureau of the
Census; brief biographies in standard reference volumes and in The
American Statistician of February 1991; an article of reminiscences
by Morris Hansen and an interview of Morris Hansen by Ingram Olkin, both
in Statistical Science of May 1987; an unpublished interview of
Morris Hansen by James L. O'Brien conducted on June 22, 1983;
Revolution in United States Government Statistics 1926-1976 by
Joseph W. Duncan and William C. Shelton, published in October 1978 by
the Office of Federal Statistical Policy and Standards, U.S. Department
of Commerce; various statistical reports of the Bureau of the Census;
records of the National Academy of Sciences; and other sources.
1 Stat. Sci. II(May
1981)2:164.
2 M. H. Hansen and W. N. Hurwitz. On the
theory of sampling from finite populations. Ann. Math. Stat.
14(Dec. 1943)4:333-62.
3 J. W. Duncan and W. C.
Shelton, Revolution in United States Government Statistics
1926-1976, pp. 50-66. Washington, D.C.: Office of Federal
Statistical Policy and Standards, 1978.
4 M. H. Hansen,
W. N. Hurwitz, and W. G. Madow. Sample Survey Methods and Theory,
vol. I Methods and Applications; vol. II Theory. New York: John Wiley
& Sons, Inc., 1953.
5 T. M. F. Smith. Sample surveys
1975-1990; an age of reconciliation?" Int. Stat. Rev. 62(Apr.
1994)1:5-19.
6 U.S. Bureau of the Census. The Accuracy
of Census Statistics With and Without Sampling. Technical Paper No. 2,
1960.
7 M. H. Hansen, W. G. Madow, and B. J. Tepping. An
evaluation of model-dependent and probability-sampling inferences in
sample surveys. J. Am. Stat. Assoc. 78: 776-93.
8 P. P. Biemer, et al. Measurement Errors in Surveys.
New York: John Wiley and Sons, 1991.
- 1938
- With C. L. Dedrick. Census
of Partial Employment, Unemployment and Occupations: 1937, vol. IV,
The Enumerative Check Census. Washington, D.C.: U.S. Government Printing
Office.
- 1940
- With F. F. Stephan and W. E. Deming.
The sampling procedure of the 1940 population census. J. Am. Stat.
Assoc. 35:615-30.
- 1942
- With W. N. Hurwitz.
Relative efficiencies of various sampling units in population inquiries.
J. Am. Stat. Assoc. 37:89-94.
- 1943
- With W.
N. Hurwitz. On the theory of sampling from finite populations. Ann.
Math. Stat. 14(4):333-62.
- 1945
- With P. M.
Hauser. Area sampling--some principles of sample design. Public Opin.
Q. 8(2):183-93.
- 1946
- With W. N. Hurwitz and
M. Gurney. Problems and methods of the sample survey of business. J.
Am. Stat. Assoc. 41:173-89. Reprinted in Estadistica VII(23),
June 1949.
- With W. N. Hurwitz. The problem of non-response in sample
surveys. J. Am. Stat. Assoc. 41:517-29.
- 1947
- Sampling of human populations. Bull. Int. Stat. Inst. 3(Part
A):113-28.
- 1949
- With W. N. Hurwitz. On the
determination of optimum probabilities in sampling. Ann. Math.
Stat. 20(3):426-32.
- 1951
- With W. N. Hurwitz,
E. S. Marks, and W. P. Mauldin. Response errors in surveys. J. Am.
Stat. Assoc. 46:147-90.
- 1953
- With W. N.
Hurwitz and L. Pritzker. The accuracy of census results. Am. Sociol.
Rev. 18(4):416-23. Also in Estadistica 13(46):74-85.
- With
W. N. Hurwitz and W. G. Madow. Sample Survey Methods and Theory,
vol. I: Methods and Applications; vol. II: Theory. New York: John Wiley
and Sons.
- 1956
- With J. Steinberg. Control of
errors in surveys. Biometrics 12:462-74.
- 1961
- Cooperation among statistical and other societies, presidential
address delivered at the 120th annual meeting of the American
Statistical Association, Stanford University, Stanford, California,
August 25, 1960. J. Am. Stat. Assoc. 56:1-10.
- With W. N.
Hurwitz and M. A. Bershad. Measurement errors in censuses and surveys.
Bull. Int. Stat. Inst. 38(Part 2):359-74.
- 1964
- With W. N. Hurwitz and L. Pritzker. The estimation and
interpretation of gross differences and the simple response variance. In
Contributions to Statistics, pp. 111-36. Oxford: Pergamon Press.
Presented to Professor P. C. Mahalanobis on the occasion of his
seventieth birthday.
- 1969
- A memorial for William
N. Hurwitz. Washington Statistical Society memorial meeting for William
N. Hurwitz. J. Am. Stat. Assoc. 64:1122-28.
- 1976
- With W. G. Madow. Some important events in the historical
development of sample surveys (dedicated to the memory of W. N.
Hurwitz). In: On the History of Statistics and Probability, ed.
D. B. Owen, pp. 75-102. New York: Marcel Dekker, Inc.
- 1978
- With W. G. Madow. Estimation and inferences from sample
surveys: some comments on recent developments. In Survey Sampling and
Measurement, ed. N. K. Namboodiri, pp. 341-57. New York: Academic
Press, Inc.
- 1983
- With W. G. Madow and B. J.
Tepping. An evaluation of model-dependent and probability-sampling
inferences in sample surveys. J. Am. Stat. Assoc. 78:776-93.
Originally presented at the 1978 annual meeting of the American
Statistical Association at a session dedicated to the memory of W. N.
Hurwitz.
- 1984
- With T. Dalenius and B. J. Tepping.
Some recollections and expectations on survey sampling. In
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