In the probit model given in the following table the disturbance ui has this variance: where f
Question:
where fi is the standard normal density function evaluated at F1(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 = F1(PÌi)
0.20 ¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦. 0.8416
0.24¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦.¦. 0.7063
0.30¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦.¦. 0.5244
0.35¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦.. 0.3853
0.45¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦¦.. 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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