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. 2021 Oct 14;12:741671. doi: 10.3389/fphar.2021.741671

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.