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Econometrics is an application of statistical methods to economic data in order to give empirical content to economic relationships. [1] More precisely, it is "the quantitative analysis of actual economic phenomena based on the concurrent development of theory and observation, related by appropriate methods of inference."
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Economic methodology is the study of methods, especially the scientific method, in relation to economics, including principles underlying economic reasoning. [1] In contemporary English, 'methodology' may reference theoretical or systematic aspects of a method (or several methods).
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Econometrics may use standard statistical models to study economic questions, but most often they are with observational data, rather than in controlled experiments. [10] In this, the design of observational studies in econometrics is similar to the design of studies in other observational disciplines, such as astronomy, epidemiology, sociology and political science.
Mathematical economics is the application of mathematical methods to represent theories and analyze problems in economics.Often, these applied methods are beyond simple geometry, and may include differential and integral calculus, difference and differential equations, matrix algebra, mathematical programming, or other computational methods.
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In econometrics, as in statistics in general, it is presupposed that the quantities being analyzed can be treated as random variables.An econometric model then is a set of joint probability distributions to which the true joint probability distribution of the variables under study is supposed to belong.