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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 model

Two-part model

 

First component

Second component

FRM

FRM

FRM

Logit

Probit

Loglog

Cloglog

Logit

Probit

Loglog

Cloglog

Logit

Probit

Loglog

Cloglog

RESET test

0.083*

0.059*

0.011**

0.555

0.258

0.283

0.202

0.446

0.099*

0.095*

0.026**

0.393

GOFF-I test

0.134

0.053*

–

0.531

0.148

0.317

0.141

0.482

0.131

0.097*

0.026**

0.395

GOFF-II test

0.081*

0.072*

0.014**

–

0.270

0.219

–

–

0.120

0.102

–

–

P test

–

–

–

–

–

–

–

–

–

–

–

–

H1: FRM-Logit

–

0.941

0.065*

0.465

–

0.884

0.090*

0.997

–

0.992

0.087*

0.601

H1: FRM-Probit

0.526

–

0.049**

0.443

0.699

–

0.121

0.704

0.625

 

0.086*

0.699

H1: FRM-Loglog

0.985

0.778

–

0.264

0.473

0.738

–

0.869

0.681

0.728

–

0.422

H1: FRM-Cloglog

0.201

0.261

0.017**

–

0.167

0.189

0.056*

–

0.178

0.222

0.031**

–

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