| ECO 310 Econometrics | Dr. Robert Jantzen |
Homework 7
| Statistical Inference: Confidence Intervals, F-tests and t-tests
Objective: Using the drugs5.csv data file described in problem 14 on pp. 156-158, answer the following modified questions. The data file contains information for 32 countries on P (pharmaceutical price levels), GDPN (per capital GDP), CVN (per capita drug consumption), PP (a 1,0 dummy indicating a country recognizes drug patents), DPC (a 1,0 dummy indicating a country applies strict price controls) and IPC (a 1,0 dummy indicating a country encourages price competition). The P, GDPN and CVN variables are measured as a % of US values, e.g., 100 indicates equal to the US level, 50 indicates half of the US level and 150 indicates 50% greater than the US value). I. Prep Assignment using the drugs5.csv data file. Note: this data is cross-sectional data, i.e., it's measured across countries at a point of time. a. Generate descriptive statistics (i.e., means, minimums &
maximums) for the variables. Briefly discuss.
II. Create 90% confidence intervals for the regression coefficients in your model. Interpret. III. Conduct an F-Test on the regression. Show your hypotheses, sample statistic, critical statistic and decision process. Interpret the finding. Also examine the p value and interpret. IV. Schut and VanBergeijk expected that the coefficient on GDPN should be positive if pharmaceutical companies practiced price discrimination across countries. They also expected that the coefficient on PP would be positive while the coefficients on CVN, DPC and IPC would be negative. Conduct t-tests on the regression coefficients showing in each case the hypotheses, sample statistic, critical statistic and decision process. Interpret the findings. V. Examine the p-values of the estimated regression coefficients and interpret. VI: Test whether the regression coefficient on GDPN is greater than 1. Show your hypotheses, sample statistic, critical statistic and decision process. Interpret the finding. VII: Test whether the regression coefficients on the three dummy
variables (i.e., PP, DPC and IPC) are all zeros. Show
your hypotheses, sample statistic, critical statistic and decision process.
Interpret the finding.
|