In the probit model given in the following table the disturbance ui has this variance: where f

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In the probit model given in the following table the disturbance ui has this variance:

Dependent Variable: I Coefficient Variable Std. Error Probability 1.0397E-07 4.8547E-08 t-Statistic 0.0572 0.00247 -1.01

P;(1 – P.) Nif? .2 r2

where fi is the standard normal density function evaluated at Fˆ’1(Pi).

a. Given the preceding variance of ui, how would you transform the model in Table 15.10 to make the resulting error term homoscedastic?

i li = Fˆ’1(PÌ‚i)

0.20 €¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦. ˆ’0.8416

0.24€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦.€¦. ˆ’0.7063

0.30€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦.€¦. ˆ’0.5244

0.35€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦.. ˆ’0.3853

0.45€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦.. ˆ’0.1257

0.51€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦..€¦.. 0.0251

0.60€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦..€¦.. 0.2533

0.66€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦. 0.4125

0.75€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦.. ..0.6745

0.80€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦ 0.8416


b. Use the data in Table 15.10 to show the transformed data.

c. Estimate the probit model based on the transformed data and compare the results with those based on the original data.

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Basic Econometrics

ISBN: 978-0073375779

5th edition

Authors: Damodar N. Gujrati, Dawn C. Porter

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