Book Econometric Analysis of Cross Section and Panel Data By Wooldridge - Chapter 12 doc

... calculation of standard errors, confidence intervals, and p-values for test statistics, and we can get a good idea of the amount of finite-sample bias in the estimation method. In ad- dition, under ... yÞ 12: 9Þ Comparing equations (12. 8) and (12. 9), we see that M-estimators are based on the analogy principle. Once y o has been defined, finding an appropriate function q that Chapt...

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... quarters of birth and various interactions of these with year of birth and state of birth—are very weak, and they are too numerous relative to their contribu- tion in explaining years of education. ... linear combination of interest, say y 1 a 1 b 1 þ a 2 b 2 þÁÁÁþa K b K , and then to write one of the b j in terms of y and the other elements of b. Then, substitute...

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... was discovered independently by Hansen (1982) and White (1982b), and it follows from the discussion in Section 8.6. Expand ing the IV list to arbitrary functions of z and applying full GMM is not ... d 12 z 2 is e¤ectively known. Now the right-hand side of equation (9.33) has one endogenous variable, y 2 , and the two exogenous variables z 1 and z 3 . Because z 2 is exclud...

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... variables and unknown GðÁÞ are not yet available. 15.8 Binary Response Models for Panel Data and Cluster Samples When analyzing binary responses in the context of panel data, it is often useful ... assumption (con- ditional on c i ), since z i appears in the conditioning set on the left-hand side of equa- tion (15.74), but only z it appears on the right-hand side. Second, the p...

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... cross section analysis the asymptotics is as the number of observations, denoted N throughout this book, tends to infinity. Usually what is meant by this statement is obvious. For panel data analysis, ... the time series dimension and let the cross section dimension grow. The research on asymptotic analysis with these kinds of panel data sets is still in its early...

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... e¤ect of w on Eðy jw; cÞ, holding c fixed, is easily estimated. Unfortunately, complications often arise in the collection and analysis of economic data because of the nonexperimental nature of economics. ... function of x.Wheny and x are random, it makes sense to use the right-hand side of equation (2.8), but where f ðxÞ is the conditional mean, mðxÞ. Therefore, the (parti...

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... square root of the appropriate diagonal ele- ment of ^ VV N =N. The asymptotic standard errors can be loosely thought of as estimating the standard deviations of the elements of ^ yy N , and they ... Limiting Behavior of Estimators and Test Statistics In this section, we apply the previous concepts to sequences of estimators. Because estimators depend on the random outcomes...

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... Linear Model and OLS Estimation 53 II LINEAR MODELS In this part we begin our econometric analysis of linear models for cross section and panel data. In Chapter 4 we review the single-equation linear ... for cross section data as well as begin our analysis of panel data. Chapter 8 builds on the framework from Chapter 7 but considers the case where some expl...

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... confuse a pooling of independent cross sections with a di¤erent data structure, panel data, which we treat starting in Chapter 7. Briefly, in a panel data set we follow the same group of individuals, ... case of the White test because ð ^ yy i ; ^ yy 2 i Þ con- tains two linear combinations of the squares and cross products of all elements in x i . Additional Single...

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... 7.6 (Wage Equation with Panel Data) : Suppose we have data for the years 1990, 1991, and 1992 on a cross section of individuals, and we would like to estimate the e¤ect of computer usage on individual ... observations pooled across i and t. We men- tioned this estimator in the context of independent cross sections in Section 6.3. The estimator in equation (7.17) is fo...

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