“Intermediate between mathematics, statistics, and economics, we find a new discipline which, for lack of a better name, may be called econometrics. Econometrics has as its aim to subject abstract laws of theoretical political economy or "pure" economics to experimental and numerical verification, and thus to turn pure economics, as far as possible, into a science in the strict sense of the word.”

— Ragnar Frisch

Ragnar Frisch (1926) "On a Problem in Pure Economics: Translated by JS Chipman." Preferences, Utility, and Demand: A Minnesota Symposium. 1926."
Original in French:
Intermediaire entre les mathematiques, la statistique et l'economie politique, nous trouvons une discipline nouvelle que ion peut, faute de mieux, designer sous le nom de reconometrie. L'econometrie se pose le but de soumettre les lois abstraites de l'economie politique theorique ou l'economie 'pure' A une verification experimentale et numeriques, et ainsi de constituer, autant que cela est possible, l'economie pure en une science dans le sens restreint de ce mot.
1920

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Ragnar Frisch 26

Norwegian economist 1895–1973

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“Econometrics is the name for a field of science in which mathematical-economic and mathematical-statistical research are applied in combination. Econometrics, therefore, forms a borderland between two branches of science, with the advantages and disadvantages thereof; advantages, because new combinations are introduced which often open up new perspectives; disadvantages, because the work in this field requires skill in two domains, which either takes up too much time or leads to insufficient training of its students in one of the two respects.”

Jan Tinbergen (1903–1994) Dutch economist

Source: Econometrics, 1951, p. 3; Cited in: Econometrica: journal of the Econometric Society. (1953) p. 36

“Two important features in the modern development of economics are the application of mathematics to abstract economic reasoning… and the attempt at placing economics on a numerical and experimental basis by an intensive study of economic statistics.
Both these developments have a common characteristic: they emphasize the quantitative character of economics. This quantitative movement in our estimation is one of the most promising developments in modern economics. We also consider it important that the two aspects of the quantitative method referred to should be furthered, developed, and studied jointly as two integrating parts of economics.
We therefore venture to propose the establishment of an international periodical devoted to the advancement of the quantitative study of economic phenomena, and especially to the development of a closer relation between pure economics and economic statistics.
We believe that the scope of the new journal would be happily suggested if it is called "Oekonometrika."”

Ragnar Frisch (1895–1973) Norwegian economist

Accordingly, the quantitative study of economic phenomena here considered may be termed econometrics.
Frisch (1927) as quoted in Divisia 1953, pp.24-25; Cited in: Bjerkholt, Olav. " Ragnar Frisch and the foundation of the Econometric Society and Econometrica http://www.ssb.no/a/histstat/doc/doc_199509.pdf." ECONOMETRIC SOCIETY MONOGRAPHS 31 (1998): 26-57.
Lead paragraph of a memorandum on the importance of establishing the journal "Oekonometrika"
1920

“What makes a piece of mathematical economics not only mathematics but also economics is, I believe, this: When we set up a system of theoretical relationships and use economic names for the otherwise purely theoretical variables involved, we have in mind some actual experiment, or some design of an experiment, which we could at least imagine arranging, in order to measure those quantities in real economic life that we think might obey the laws imposed on their theoretical namesakes.”

Trygve Haavelmo (1911–1999) Norwegian economist and econometrician

Trygve Haavelmo, "The probability approach in econometrics" in: Supplement to Econometrica. 12 91944), p. 5; Cited in Pearl (2012, 1-2)

“An important object of the Journal should be the publication of papers dealing with attempts at statistical verification of the laws of economic theory, and further the publication of papers dealing with the purely abstract problems of quantitative economics, such as problems in the quantitative definition of the fundamental concepts of economics and problems in the theory of economic equilibrium.
The term equilibrium theory is here interpreted as including both the classical equilibrium theory proceeding on the lines of Walras, Pareto, and Marshall, and the more general equilibrium theory which is now beginning to grow out of the classical equilibrium theory, partly through the influence of the modern study of economic statistics. Taken in this broad sense the equilibrium problems include virtually all those fundamental problems of production, circulation, distribution and consumption, which can be made the object of a quantitative study. More precisely: The equilibrium theory in the sense here used is a body of doctrines that treats all these problems from a certain point of view, which is contrasted on one side with the verbal treatment of economic problems and on the other side with the purely empirical-statistical approach to economic problems”

Ragnar Frisch (1895–1973) Norwegian economist

Frisch (1927). as quoted in: Bjerkholt, Olav, and Duo Qin. A Dynamic Approach to Economic Theory: The Yale Lectures of Ragnar Frisch. Routledge, 2010: About "Oekonometrika"
1920

“For Marx, ‘pure’ economic theory, that is economic theory which abstracts from a specific social structure, is impossible.”

Ernest Mandel (1923–1995) Belgian economist and Marxist philosopher

Introduction to Capital. Introduction to volume 1 (1976)

“Our aim is to sketch the outlines of a new science which is to intermediate between the modern laboratory psychology and the problems of economics: the psychological experiment is systematically to be placed at the service of commerce and industry.”

Hugo Munsterberg (1863–1916) German-American psychologist, philosopher and agitator

Source: Psychology and Industrial Efficiency (1913), p. 3-4 ; Introduction, lead paragraph
Context: Our aim is to sketch the outlines of a new science which is to intermediate between the modern laboratory psychology and the problems of economics: the psychological experiment is systematically to be placed at the service of commerce and industry. So far we have only scattered beginnings of the new doctrine, only tentative efforts and disconnected attempts which have started, sometimes in economic, and sometimes in psychological, quarters. The time when an exact psychology of business life will be presented as a closed and perfected system lies very far distant. But the earlier the attention of wider circles is directed to its beginnings and to the importance and bearings of its tasks, the quicker and the more sound will be the development of this young science. What is most needed to-day at the beginning of the new movement are clear, concrete illustrations which demonstrate the possibilities of the new method. In the following pages, accordingly, it will be my aim to analyze the results of experiments which have actually been carried out, experiments belonging to many different spheres of economic life. But these detached experiments ought always at least to point to a connected whole; the single experiments will, therefore, always need a general discussion of the principles as a background. In the interest of such a wider perspective we may at first enter into some preparatory questions of theory. They may serve as an introduction which is to lead us to the actual economic life and the present achievements of experimental psychology

“Economics is the most human of sciences. It is the science of wants and frustrations. It is psychology subject to the abstract, amplifying forces of mathematics.”

Ian McDonald book The Dervish House

Source: The Dervish House (2010), Ch. 2, §8 (p. 72)

“Econometrics may be defined as the quantitative analysis of actual economic phenomena based on the concurrent development of theory and observation, related by appropriate methods of inference.”

Tjalling Koopmans (1910–1985) Dutch American economist

Paul Samuelson, Tjalling Koopmans, and Richard Stone. "Report of the evaluative committee for Econometrica." Econometrica- journal of the Econometric Society. (1954): 141-146.

“Econometrics may be defined as the quantitative analysis of actual economic phenomena based on the concurrent development of theory and observation, related by appropriate methods of inference.”

Richard Stone (1913–1991) British economist, Nobel Memorial Prize winner

Paul Samuelson, Tjalling Koopmans, and Richard Stone. "Report of the evaluative committee for Econometrica." Econometrica- journal of the Econometric Society. (1954): 141-146.

“Econometrics may be defined as the quantitative analysis of actual economic phenomena based on the concurrent development of theory and observation, related by appropriate methods of inference.”

Paul A. Samuelson (1915–2009) American economist

Paul Samuelson, Tjalling Koopmans, and Richard Stone. "Report of the evaluative committee for Econometrica." Econometrica- journal of the Econometric Society. (1954): 141-146.
1950s–1970s

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