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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

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products, have different cost functions, and/or ship to<br />

different markets.<br />

• Previous work by Beuthe and Moses ' clearly demonstrates<br />

that individual shippers of relatively homogeneous products<br />

tend to choose one mode or another. For that study the<br />

authors were able to obtain excellent data on shipments<br />

of grain from hundreds of individual elevators in Illinois<br />

to the Chicago market and to Southern markets, primarily to<br />

New Orleans. Data on transport costs from each elevator<br />

to these markets by rail, truck, and water were obtained<br />

directly. Excellent price data was available on a daily<br />

basis. It was found that more than eighty-five per cent<br />

of all shipments involved a single mode.<br />

Phenomena that involve exclusive choice lend them-<br />

elves to a statistical technique known as discriminant<br />

• analysis in which the dependent variable takes on values<br />

of zero or one. In the grain study there was a vector<br />

of independent variables <strong>for</strong> each shipping point, these<br />

variables representing time, cost, etc., of shipping.<br />

The model was able to separate the various mode populations<br />

successfully, which is to say that it tended to correctly<br />

• allocate shipments to the mode actually used. For the<br />

study of air cargo demand detailed data of the above sort<br />

was not available. It was, there<strong>for</strong>e, necessary to adjust<br />

• the basic statistical procedure from that described in<br />

.<br />

Chapter III above. The data available and the required<br />

adjustment are explained below. •<br />

1 M.V. BeuthDand L.N. Moses, "The Demand <strong>for</strong> Transportation:<br />

The Influence of Time", in Transportation: A Service, (New<br />

York Academy of Sciences, New York, 1968), pp. 61-65.<br />

74

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