Econ140A_Chap9_Sol

Econ140A_Chap9_Sol - CHAPTER 9 TEACHING NOTES The coverage...

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CHAPTER 9 TEACHING NOTES The coverage of RESET in this chapter recognizes that it is a test for neglected nonlinearities, and it should not be expected to be more than that. (Formally, it can be shown that if an omitted variable has a conditional mean that is linear in the included explanatory variables, RESET has no ability to detect the omitted variable. Interested readers may consult my chapter in Companion to Theoretical Econometrics , 2001, edited by Badi Baltagi.) I just teach students the F statistic version of the test. The Davidson-MacKinnon test can be useful for detecting functional form misspecification, especially when one has in mind a specific alternative, nonnested model. It has the advantage of always being a one degree of freedom test. I think the proxy variable material is important, but the main points can be made with Examples 9.3 and 9.4. The first shows that controlling for IQ can substantially change the estimated return to education, and the omitted ability bias is in the expected direction. Interestingly, education and ability do not appear to have an interactive effect. Example 9.4 is a nice example of how controlling for a previous value of the dependent variable – something that is often possible with survey and nonsurvey data – can greatly affect a policy conclusion. Computer Exercise 9.3 is also a good illustration of this approach. The short section on random coefficient models is intended as a simple introduction to the idea; it is not needed for any other parts of the book. I rarely get to teach the measurement error material in a first-semester course, although the attenuation bias result for classical errors-in-variables is worth mentioning. You might have analytically skilled students try Problem 9.7. The result on exogenous sample selection is easy to discuss, with more details given in Chapter 17. The effects of outliers can be illustrated using the examples. I think the infant mortality example, Example 9.10, is useful for illustrating how a single influential observation can have a large effect on the OLS estimates. Studentized residuals are computed by many regression packages, and they can be informative if used properly. With the growing importance of least absolute deviations, it makes sense to discuss the merits of LAD, at least in more advanced courses. Computer Exercise C9.9 is a good example to show how mean and median effects can be very different, even though there may not be “outliers” in the usual sense. 91
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SOLUTIONS TO PROBLEMS 9.1 There is functional form misspecification if 6 β 0 or 7 0, where these are the population parameters on ceoten 2 and comten 2 , respectively. Therefore, we test the joint significance of these variables using the R -squared form of the F test: F = [(.375 .353)/(1 .375)][(177 – 8)/2] 2.97. With 2 and df , the 10% critical value is 2.30 awhile the 5% critical value is 3.00.
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This note was uploaded on 08/05/2010 for the course ECON Econ 140 taught by Professor Jack during the Spring '10 term at UCSB.

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Econ140A_Chap9_Sol - CHAPTER 9 TEACHING NOTES The coverage...

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