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The Official Journal of the Pan-Pacific Association of Input-Output Studies (PAPAIOS)

Table 1 Specification tests for the one-part and two-part fractional regression model (P values)

From: Linking earned income, psychological capital and social grant dependency: empirical evidence from rural KwaZulu-Natal (South Africa) and implications for policy

 One-part modelTwo-part model
 First componentSecond component
FRMFRMFRM
LogitProbitLoglogCloglogLogitProbitLoglogCloglogLogitProbitLoglogCloglog
RESET test0.083*0.059*0.011**0.5550.2580.2830.2020.4460.099*0.095*0.026**0.393
GOFF-I test0.1340.053*0.5310.1480.3170.1410.4820.1310.097*0.026**0.395
GOFF-II test0.081*0.072*0.014**0.2700.2190.1200.102
P test
H1: FRM-Logit0.9410.065*0.4650.8840.090*0.9970.9920.087*0.601
H1: FRM-Probit0.5260.049**0.4430.6990.1210.7040.625 0.086*0.699
H1: FRM-Loglog0.9850.7780.2640.4730.7380.8690.6810.7280.422
H1: FRM-Cloglog0.2010.2610.017**0.1670.1890.056*0.1780.2220.031**
H1: One-part          0.096*
H1: Two-part   0.538       
  1. FRM fractional regression model
  2. *, ** and *** denote significance level at 10%, 5% and 1%, respectively. The last two P tests assess the one-part model vs the two-part model