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.