Consider the simple regression model y = 0 + 1 x + u and let z be a binary instrumental variable for x. Use (15.10) to show that the IV estimator 11eb9ee2_f194_560f_8edd_2fd7743c5343_SM2712_11 can be written as 11eb9ee2_f194_5610_8edd_57f02ca8c84d_SM2712_11 where 11eb9ee2_f194_5611_8edd_a763e20c758e_SM2712_11 and 11eb9ee2_f194_7d22_8edd_bddf27ab42af_SM2712_11 are the sample averages of 11eb9ee2_f194_7d23_8edd_2785b2732c5b_SM2712_11 and 11eb9ee2_f194_7d24_8edd_2dda7f3a1a85_SM2712_11 over the part of the sample with 11eb9ee2_f194_7d25_8edd_4fd73e105772_SM2712_11 = 0, and where 11eb9ee2_f194_7d26_8edd_c152c1886c5f_SM2712_11 and 11eb9ee2_f194_7d27_8edd_7f51a593a01d_SM2712_11 are the sample averages of y. and x. over the part of the sample with 11eb9ee2_f194_7d28_8edd_bf73cfe3db1a_SM2712_11 = 1. This estimator, known as a grouping estimator, was first suggested by Wald (1940).

Introductory Econometrics 4th Edition by Jeffrey Wooldridge

النسخة 4الرقم المعياري الدولي: 978-0324660609

النسخة 4الرقم المعياري الدولي: 978-0324660609

تمرين 14

Consider the simple regression model
y = 0 + 1 x + u
and let z be a binary instrumental variable for x. Use (15.10) to show that the IV estimator

can be written as

where

and

are the sample averages of

and

over the part of the sample with

= 0, and where

and

are the sample averages of y. and x. over the part of the sample with

= 1. This estimator, known as a grouping estimator, was first suggested by Wald (1940).

التوضيح

موثّق

Consider the simple regression model: C...