Table 2 Test to verify assumptions and interpretations.
From: Climate change, food security, and diarrhoea prevalence nexus in Tanzania
Tests | Statistics (F statistic) | P Value | Interpretation |
---|---|---|---|
Relevance Test for the Instrument | 37.58 | 0.0000 | The instrument is relevant to climate change. |
Exogeneity Test for the Instrument | - | 0.4281 | The instrument is exogenous to food security. |
Weak Instrument Test | 99.48 | above critical value (max critical value = 32.56) | The instrument is strong. |
First Stage Regression | \({R}^{2}=0.6632\) | 0.0005 | The instrument is positively correlated with climate change. |
F-Statistic for Instrument Validity | 35.78 | 0.0006 | The instrument is valid and relevant. |
Heteroskedasticity and Autocorrelation Tests | 47.23 | 0.5630 | No evidence of these issues. |
Endogeneity Test | 3571.43 | 0.0040 | There is endogeneity present. |
Overidentification Test (Sargan Test) | 25.17 | 0.3613 | The model is well-specified. |
Interpretation and Policy Implications | ♦ Significant effect of climate change on diarrhoea prevalence ♦ Significant effect of climate change on food security | ♦ Policies addressing climate change may have positive effects on the prevalence of diarrhoea in households. ♦ Policies combating climate change may have positive effects on food security in communities. |