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

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model depends on whether or not the analyst believes the series is trended. It is expected that<br />

maize price series are trended, but we <strong>in</strong>clude the results <strong>of</strong> the nontrended model for<br />

comparison. Thus the equations estimated were:<br />

+ m<br />

i, − 1 ∑ = n<br />

m = 1<br />

α +<br />

i, t − U (4)<br />

t<br />

Δ P =<br />

i, t α + 0 δ 1 P t<br />

Δ P =<br />

i, t α + 0 δ 1 Pi t 1<br />

, − + ∑ = =<br />

m P m<br />

Δ<br />

m n<br />

m 1 α m ΔP +<br />

i, t −m<br />

β 1 T + U (5)<br />

t<br />

<strong>The</strong> values reported <strong>in</strong> Table 6a show that most <strong>of</strong> the regressions with and without trend are<br />

<strong>of</strong> the order zero <strong>of</strong> augmentation (p <strong>in</strong> the tables) while Nairobi (with trend) is <strong>of</strong> order one<br />

and Migori (with trend) <strong>of</strong> order two. Table 6b shows that the postliberalization Kiritiiri<br />

series without trend is <strong>of</strong> order one. Nairobi and Kitale series with and without trend are are<br />

<strong>of</strong> order two. All other regressions are <strong>of</strong> order zero. <strong>The</strong> order <strong>of</strong> augmentation was<br />

determ<strong>in</strong>ed by us<strong>in</strong>g comb<strong>in</strong>ations <strong>of</strong> three criteria: Akaike’s <strong>in</strong>formation criterion (AIC),<br />

Schwarz Bayesian criterion (SBC), and Hannan-Qu<strong>in</strong>n criterion (HQC). All ADF statistics,<br />

except <strong>in</strong> the case <strong>of</strong> Kiritiri, are (<strong>in</strong> absolute value) below their asymptotic 95 percent critical<br />

values given <strong>in</strong> the last two rows <strong>of</strong> Tables 6a and 6b. It is therefore not possible to reject the<br />

null hypothesis <strong>of</strong> unit roots <strong>in</strong> the price level series at the 5 percent significance level.<br />

Consider<strong>in</strong>g the results <strong>in</strong> Table 6a, it was observed that maize series were <strong>in</strong>tegrated <strong>of</strong> order<br />

one--that is, I(1) <strong>in</strong> the preliberalization era. Similar tests for the postliberalization period<br />

yield results similar to those <strong>of</strong> the preliberalization era except that the hypothesis <strong>of</strong> presence<br />

<strong>of</strong> unit root is rejected for the Kiritiri price series (Table 6b). <strong>The</strong>re is no reason to believe<br />

that the Kiritiri price series is structurally different from the other price series, and therefore<br />

we are compelled by caution to <strong>in</strong>terpret all the price series as nonstationary--that is, not<br />

<strong>in</strong>tegrated <strong>of</strong> degree zero.

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