Nonlinear Effect of Urbanization on the Gap between Urban and Rural Elementary Education in China

Table 3

The number of transition functions and location parameters.

Null hypothesis and alternative hypothesis	Statistics	Number of location parameters
		m = 1	m = 2
H0: r = 1 vs H1: r = 2	Wald test (LM)	27.283[0.000]	24.560[0.006]
	Fisher test (LMF)	9.177[0.000]	8.270[0.001]
	LRT test (LRT)	17.712[0.000]	25.438[0.005]
: r = 2 vs : r = 3	Wald test (LM)	6.593 [0.168]	3.318 [0.206]
	Fisher test (LMF)	1.996 [0.185]	1.172 [0.309]
	LRT test (LRT)	6.987 [0.124]	3.570 [0.194]
AIC		−1.7340	−1.7194
BIC		−1.5940	−1.5899