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The Future of Smallholder Farming in Eastern Africa - Uganda ...

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was corrected us<strong>in</strong>g the White-Huber sandwich estimator as implemented by Stata version 7.0<br />

that uses standard errors that are robust to hetero-skedasticity.<br />

S<strong>in</strong>ce the regressions had many explanatory variables, multi-coll<strong>in</strong>earity could not be ruled out.<br />

This was <strong>in</strong>vestigated us<strong>in</strong>g the variance <strong>in</strong>flation factor method (Chatterjee and Price 1991).<br />

S<strong>in</strong>ce the maximum VIF was less than 3, we found that multi-coll<strong>in</strong>earity was not a serious<br />

problem.<br />

We tested for normality <strong>of</strong> the error term us<strong>in</strong>g the Jargue Bera Langrage multiplier test <strong>of</strong><br />

skewness and kurtosis, as well as us<strong>in</strong>g the Shapiro Wilk and Shapiro Francia tests <strong>of</strong> normality.<br />

<strong>The</strong> tests revealed that the variables <strong>of</strong> crop value, acreage, and <strong>of</strong>f-farm <strong>in</strong>come were not<br />

normally distributed. Us<strong>in</strong>g the Box Cox power <strong>of</strong> transformation, the log transformation was<br />

identified as the most appropriate transformation <strong>of</strong> the variables to normality.<br />

We exam<strong>in</strong>ed the appropriate mathematical functional forms (non-l<strong>in</strong>earity and <strong>in</strong>teraction terms<br />

<strong>in</strong> the data) <strong>of</strong> the variables <strong>in</strong> the regressions. Us<strong>in</strong>g the exploratory band regression method<br />

(L<strong>in</strong>ear sp<strong>in</strong>e method), the variables <strong>of</strong> fishv (value <strong>of</strong> wetland fish<strong>in</strong>g), buildv (value <strong>of</strong> wetland<br />

build<strong>in</strong>g material collection), fuelv (value <strong>of</strong> wetland fuel collection) and totlvs<strong>in</strong> (total livestock<br />

<strong>in</strong>come), showed a non-l<strong>in</strong>ear relationship with the dependant variables, hence their quadratic<br />

functional form was <strong>in</strong>cluded <strong>in</strong> the models, which greatly improved model specification. <strong>The</strong><br />

Ramsey regression error specification test (REST) for omitted variable bias could not be<br />

performed, as it is <strong>in</strong>valid for ordered probit models, however the Hosmer-Lemeshow goodness<br />

fit test showed that the models are generally good fits. We did not suspect Endogenity bias<br />

problems <strong>in</strong> all these regressions hence we did not perform the Hausman-Wu specification tests.<br />

All these tests were performed us<strong>in</strong>g Stata version 7.0.<br />

5.2.2 Determ<strong>in</strong>ants Of Wetland Diversity And Food Security<br />

<strong>The</strong> results <strong>of</strong> the econometric analysis for Wetland Diversity and Food Security are presented <strong>in</strong><br />

the follow<strong>in</strong>g table.

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