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Q2 Z2,(Q2) Z2(Q2) - Institute for Water Resources - U.S. Army

Q2 Z2,(Q2) Z2(Q2) - Institute for Water Resources - U.S. Army

Q2 Z2,(Q2) Z2(Q2) - Institute for Water Resources - U.S. Army

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The variables have the correct signs. Let us first<br />

examine the logic behind the negative sign of (11 T)/V<br />

holding V constant. If TA , the rate by air, rises and T s ,<br />

the ship rate, is constant, falls, or rises less, A T<br />

increases in absolute amount. In this case, the probability<br />

that a commodity will move by air should fall. The implied<br />

sign <strong>for</strong> (A1 T)/V is there<strong>for</strong>e negative. Holding b. T<br />

constant, a change in V has the same impact. For example, as<br />

V increases, greater savings in capital can be achieved by<br />

faster transport, and the possibility is greater that the<br />

commodity will go by air. Since an increase in V reduces<br />

( ti 7)/V and increases r, the effect is negative. Thus<br />

the negative coefficient seems reasonable though the impact<br />

of simultaneous changes.in A T and V is less clear. 7<br />

The price variable has, the reader will note, not been<br />

discounted as in the theoretical analysis because adequate<br />

data, on transport time was not available. As mentioned<br />

earlier, in<strong>for</strong>mation from a large firm estimated that its<br />

sea and air shipments required thirty eight and nine days.<br />

These values were used in a regression on a sample of 69<br />

commodities, a difference in capital costs between the modes<br />

being derived <strong>for</strong> each of the commodities. The inclusion of<br />

this variable slightly increased the R 2 . '(The increase<br />

being based on other runs of the 69 sample size). The<br />

coefficient had the proper sign but was not statistically<br />

7 As further' substantiation a result shown later shows<br />

that when run separately, V has a positive sign and AT<br />

a negative sign, thus accounting <strong>for</strong> the negative sign of<br />

log ( T)/V.<br />

83

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