Monday, January 6, 2014

Explanation Of The Omitted Variable Bias

* Explanation of the throw offted variant bias: testing for the presence of omitted variables and discussing the consequences of omitting variables. When reservation imply judges, in all of the variables that are likely to have an imprint on the dependent variable, should be included in the analysis. For example, reckon that the demand for a particular patsy of coffe (qtcoffe) only depends on its own price (ptcoffe) and the price of a particular give away of tea (pttea). The estimated demand break of the coffee is qtcoffe = ?0 + ?1 ptcoffe + ?2 pttea (i) where ?0 = 10, ?1 = -2 and ?2 = 1. The table on a lower floor shows true observations from the previous ride periods. t| qtcoffe| ptcoffe| pttea| 1| 10| 1| 2| 2| 7| 2| 1| Now suppose that we omit pttea from the analysis, so the demand function now is: qtcoffe = ?0 + ?1 ptcoffe + µt. (ii) By having only two time periods, we can tardily calculate the estimates of ?0 and ?1, denoted ?0 and ? 1, by solving the pursuit two equations: 10 = ?0 + ?1 and 7 = ?0 + 2?1, (iii) which strains us ?0 = 13 and ?1= -3 and the estimated demand function is qtcoffe = 13 - 3ptcoffe, (iv) when omitting variable pttea from the calculation.
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Although the regression equation estimated in (iii) gives a perfect perish in terms of predicting historic data, it actually does not give a good forecast performance, since an important variable that has an onus on sales is omitted from our analysis. This is called the omitted variable bias. From example if another period, ptcoffe = 3 and pttea = 4, then the demand fro m (i) go forth be 8, while from (iv), it wi! ll be 4. It is intelligible from the results that the price of tea has a salutary effect on the demand for coffee, thus it should not be omitted from the analysis. We can cogitate from the example above, that at the beginning of the analysis, it is needful to consider all of the variables that might influence the dependent variable, and to have the...If you want to startle a full essay, order it on our website: OrderCustomPaper.com

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