TABLE 2.
Estimation of link function (Park tests) and family distribution (Box–Cox tests) of unit price of pharmaceutical products.
Study sample | Modified park test for family distribution | Box-cox test for link function | ||
---|---|---|---|---|
Total | 1.77 | Gamma | −0.13 | Log |
Subsample by ownership | ||||
Domestic suppliers outside of top 100 | 1.98 | Gamma | −0.07 | Log |
Top 100 domestic suppliers | 2.02 | Gamma | −0.20 | Log |
Suppliers with joint venture | 2.09 | Gamma | −0.24 | Log |
Foreign-owned suppliers | 3.53 | Inverse gaussian | −0.33 | Log |
Subsample by medicines | ||||
Original brand | 3.53 | Inverse gaussian | −0.25 | Log |
Generic | 1.84 | Gamma | −0.10 | Log |
Subsample by administration routes | ||||
Injectable | 2.00 | Gamma | 0.03 | Log |
Oral | 1.72 | Gamma | 0.42 | Square root |
Note: Coefficients excerpted from modified Park tests: 0 = Gaussian distribution (variance unrelated to the mean); 1 = Poisson distribution (variance equal to the mean); 2 = Gamma distribution (variance exceeding the mean); 3 = Inverse Gaussian distribution (or Wald distribution). Coefficients excerpted from Box–Cox tests: 0 = log link; 0.5 = square root link; 1 = identity link.