Productivity of Nations: A Stochastic Frontier Approach to TFP Decomposition

Table 5

Likelihood ratio tests.

Model	Full Translog All 𝛽𝑠≠0	Harrod Neutral	Solow Neutral	Hicks Neutral	Translog without TP	Cobb-Douglas with TP
Harrod Neutral	19.69	—	—	—	—	—
𝛽𝐾𝑡=0	𝜒^2 (1)
Solow Neutral	4.55	NC	—	—	—	—
𝛽𝐿𝑡=0	𝜒^2 (1)
Hicks Neutral	19.71	0.01	15.15	—	—	—
𝛽𝐾𝑡=𝛽𝐿𝑡=0	𝜒^2 (2)	𝜒^2 (1)	𝜒^2 (1)
Translog without TP	33.43	13.74	28.88	13.72	—	—
𝛽𝑡=𝛽𝑡𝑡=𝛽𝐾𝑡=𝛽𝐿𝑡=0	𝜒^2 (4)	𝜒^2 (3)	𝜒^2 (3)	𝜒^2 (2)
Cobb-Douglas with TP	110.01	90.32	105.46	90.31	NC	—
𝛽𝑡𝑡=𝛽𝐾𝑡=𝛽𝐿𝑡=𝛽𝐾𝐿=𝛽𝐾𝐾=𝛽𝐿𝐿=0	𝜒^2 (6)	𝜒^2 (5)	𝜒^2 (5)	𝜒^2 (4)
Cobb-Douglas without TP	152.21	132.51	147.65	132.50	118.78	42.20
𝛽𝑡=𝛽𝑡𝑡=𝛽𝐾𝑡=𝛽𝐿𝑡=𝛽𝐾𝐿=𝛽𝐾𝐾=𝛽𝐿𝐿=0	𝜒^2 (7)	𝜒^2 (6)	𝜒^2 (6)	𝜒^2 (5)	𝜒^2 (3)	𝜒^2 (1)

NC = not comparable; TP = technical progress.