2011
DOI: 10.1215/00182702-1158745
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The Introduction of the Cobb-Douglas Regression and Its Adoption by Agricultural Economists

Jeff E. Biddle

Abstract: The first part of this essay reviews Paul Douglas's twenty-year research program of using the Cobb-Douglas function to statistically estimate relationships between inputs and outputs. Emphasis is placed on the evolution of Douglas's own conceptualization of the program, and also the variety of views that arose among economists as to the significance of Douglas's results and, more generally, the potential value of the type of work he was doing. The second part examines the work of a group of agricultural econom… Show more

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Cited by 10 publications
(8 citation statements)
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References 47 publications
(45 reference statements)
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“…These results are in line with the manner in which the Cobb-Douglas model detects production efficiency in economic production theory. The model does this by identifying firms that are producing more output than the sum of their inputs suggest that they should be able to produce, when compared to an industry average as established by a regression equation (Biddle, 2011). This suggests that the excess production is attributable to a technological efficiency that the highly productive firm is employing and that the average and lower producing firms are not.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…These results are in line with the manner in which the Cobb-Douglas model detects production efficiency in economic production theory. The model does this by identifying firms that are producing more output than the sum of their inputs suggest that they should be able to produce, when compared to an industry average as established by a regression equation (Biddle, 2011). This suggests that the excess production is attributable to a technological efficiency that the highly productive firm is employing and that the average and lower producing firms are not.…”
Section: Discussionmentioning
confidence: 99%
“…Known as the Cobb-Douglas model, this approach is used to study the relationship between a set of inputs and the quantity of output produced, which in turn can be used to measure production efficiency, including the impact of technological improvements (Biddle, 2011). The two studies examined in this paper take a similar approach by identifying the institutional inputs that go into producing scholarly research and regressing those measures against actual scholarly outputproducing an industry production function of sorts for academic scholarship.…”
Section: Literature Reviewmentioning
confidence: 99%
“…The Cobb–Douglas production function offers clear advantages when handling multiple inputs and also captures the key assumptions of diminishing returns (Coelli, ). When the explanatory variables are regressed, the coefficients produced can be directly and easily interpreted as elasticities of output in terms of farm inputs (Biddle, ). The stochastic production frontier was estimated for tilapia farming in China using the Cobb–Douglas functional form as specified below:LnYi=β0+x=19βiLnXij+Vi-Ui,where subscript i means the i th farm in the survey; Ln refers to the natural logarithm; Y is the farm production; and the X ij s are input variables accounting for all farm production costs.…”
Section: Methodsmentioning
confidence: 99%
“…The Cobb-Douglas model has been applied to measure the effect of access to tractor service on the technical efficiency of small-scale maize farmers. The model was established in 1927 by Charles Cobb and Paul Douglas (hence Cobb-Douglas), with the objective of understanding the relationship between output level and quantities of inputs used in production (Biddle, 2010). In its general form, i.e.…”
Section: Analytical Techniquementioning
confidence: 99%