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Analysis of Sales Promotion Effects on Household Purchase Behavior

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96<br />

We measure possible time accelerati<strong>on</strong> effects by comparing the interpurchase<br />

time between a n<strong>on</strong>-promoti<strong>on</strong>al or not utilized promoti<strong>on</strong>al and a subsequent utilized<br />

promoti<strong>on</strong>al shopping trip, with the average time interval between two subsequent n<strong>on</strong>promoti<strong>on</strong>al<br />

or not utilized promoti<strong>on</strong>al shopping trips. We measure possible time<br />

readjustment effects by comparing the interpurchase time between a utilized promoti<strong>on</strong>al<br />

and a subsequent n<strong>on</strong>-promoti<strong>on</strong>al or not utilized promoti<strong>on</strong>al shopping trip, with the<br />

average time interval between two subsequent n<strong>on</strong>-promoti<strong>on</strong>al or not utilized promoti<strong>on</strong>al<br />

shopping trips.<br />

The intertemporal purchase quantity effects are measured by comparing the<br />

average purchase volume per n<strong>on</strong>-promoti<strong>on</strong>al or not utilized promoti<strong>on</strong>al shopping trip<br />

with (a) the n<strong>on</strong>-promoti<strong>on</strong>al purchased volume <strong>on</strong>e shopping trip before the utilized<br />

promoti<strong>on</strong>al shopping trip, (b) the purchased volume during the utilized promoti<strong>on</strong>al<br />

shopping trip, and (c) the n<strong>on</strong>-promoti<strong>on</strong>al purchased volume <strong>on</strong>e shopping trip after the<br />

utilized promoti<strong>on</strong>al shopping trip. This provides insights in whether the household<br />

purchased more due to promoti<strong>on</strong>, or merely shifted purchases forward or backward that<br />

would have occurred anyway.<br />

Opposite to the brand switch effect measure, the three purchase time measures and<br />

the four purchase quantity measures are ratio’s, the average n<strong>on</strong>-promoti<strong>on</strong>al time interval<br />

or purchase quantity serving as the denominator for normalizati<strong>on</strong> purposes.<br />

5.4.2.3.1 Inter <strong>Purchase</strong> Time<br />

Let IPT denote the average Inter <strong>Purchase</strong> Time, that is the average length <str<strong>on</strong>g>of</str<strong>on</strong>g> the timeinterval<br />

between two successive n<strong>on</strong>-promoti<strong>on</strong>al or n<strong>on</strong>-utilized promoti<strong>on</strong>al shopping<br />

trips. Let IPT − denote the average length <str<strong>on</strong>g>of</str<strong>on</strong>g> the time-interval between a n<strong>on</strong>-promoti<strong>on</strong>al<br />

or n<strong>on</strong>-utilized promoti<strong>on</strong>al and a subsequent utilized promoti<strong>on</strong>al shopping trip. Let<br />

IPT+ denote the average length <str<strong>on</strong>g>of</str<strong>on</strong>g> the time-interval between a utilized promoti<strong>on</strong>al<br />

shopping trip and the subsequent n<strong>on</strong>-promoti<strong>on</strong>al or n<strong>on</strong>-utilized promoti<strong>on</strong>al shopping<br />

trip. We expect that households purchase so<strong>on</strong>er due to a promoti<strong>on</strong>, and therefore that

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