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英语翻译As we argue in the introduction (and verify below),Pi an

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英语翻译
As we argue in the introduction (and verify below),Pi and Si are negatively correlated:the larger a country is,the farther its typical resident is from other countries.Thus if we do not control for size in (4),Pi will be negatively correlated with the residual,and thus will not be a valid instrument.Intuitively,smaller countries may engage in more trade with other countries simply because they engage in less within-country trade.This portion of the geographic variation in international trade cannot be used to identify trade's impact on income.Similarly,if we fail to control for Ti in (4),Si will be negatively correlated with the residual.Thus,our approach requires us to examine the impacts of both international trade and country size.
英语翻译As we argue in the introduction (and verify below),Pi an
这个不难
就像我们在绪论主张的(并于下面证明),pi和si是负相关的:一国越大,则来自其他国家的常驻民越多,因此倘若我们不控制(4)的规模,pi将与残余值负相关,其自身就不再是一个有效因素了.显然,较小的国家与其他国家间的贸易更多,因为他们本国内的贸易相对更少.因而仅这种地理面积的变化不能用来衡量贸易对收入的冲击.同样,如果我们未能控制(4)中ti的规模,si就负相关与剩余值.所以,我们采用的方法需要我们同时考量国家面积和国际贸易带来的冲击
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