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The Impact of Wind Power Projects on Residential Property Values ...

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sold within the preceding six m<strong>on</strong>ths <str<strong>on</strong>g>of</str<strong>on</strong>g> a subject home’s sale date in the same study area are<br />

identified and, from those, the five nearest neighbors based <strong>on</strong> Euclidian distance are selected.<br />

<str<strong>on</strong>g>The</str<strong>on</strong>g> inverse <str<strong>on</strong>g>of</str<strong>on</strong>g> each selected nearest neighbors’ distance (in quarter miles) to the subject<br />

home was then calculated. Each <str<strong>on</strong>g>of</str<strong>on</strong>g> these values was then divided by the sum <str<strong>on</strong>g>of</str<strong>on</strong>g> the five<br />

nearest neighbor’s inverse distance values to create a neighbor’s distance weight (NDW) for<br />

each <str<strong>on</strong>g>of</str<strong>on</strong>g> the five nearest neighbors. 128<br />

Creating the weighted sales price: Each <str<strong>on</strong>g>of</str<strong>on</strong>g> the neighbor’s natural log <str<strong>on</strong>g>of</str<strong>on</strong>g> sales price in 1996<br />

dollars (LN_Saleprice96) is multiplied by its distance weight (NDW). <str<strong>on</strong>g>The</str<strong>on</strong>g>n, each weighted<br />

neighbor’s LN_Saleprice96 is summed to create a weighted nearest neighbor<br />

LN_Saleprice96 (Nbr_LN_Saleprice96).<br />

<br />

<br />

Selecting and calculating the weighted neighbors home characteristics: Nine independent<br />

variables are used from each <str<strong>on</strong>g>of</str<strong>on</strong>g> the neighbor’s homes: square feet, age <str<strong>on</strong>g>of</str<strong>on</strong>g> the home at the<br />

time <str<strong>on</strong>g>of</str<strong>on</strong>g> sale, age <str<strong>on</strong>g>of</str<strong>on</strong>g> the home at the time <str<strong>on</strong>g>of</str<strong>on</strong>g> sale squared, acres, number <str<strong>on</strong>g>of</str<strong>on</strong>g> full baths, and<br />

c<strong>on</strong>diti<strong>on</strong> (1-5, with Poor = 1, Below Average = 2, etc.). A weighted average is created <str<strong>on</strong>g>of</str<strong>on</strong>g><br />

each <str<strong>on</strong>g>of</str<strong>on</strong>g> the characteristics by multiplying each <str<strong>on</strong>g>of</str<strong>on</strong>g> the neighbor’s individual characteristics by<br />

their NDW, and then summing those values across the five neighbors to create the weighted<br />

average nearest neighbors’ home characteristic. 129 <str<strong>on</strong>g>The</str<strong>on</strong>g>n each <str<strong>on</strong>g>of</str<strong>on</strong>g> the independent variables is<br />

interacted with the study area to allow each <strong>on</strong>e to be independently estimated for each study<br />

area.<br />

Forecasting the weighted average neighbors sales price: To create the final predicted<br />

neighbor’s price, the weighted nearest neighbor LN_Saleprice96 is regressed <strong>on</strong> the weighted<br />

average nearest neighbors’ home characteristics to produce a predicted weighted nearest<br />

neighbor LN_Saleprice96 (Nbr_LN_SalePrice96_hat). <str<strong>on</strong>g>The</str<strong>on</strong>g>se predicted values are then<br />

included in the Base and Alternative Models as independent variables to account for the<br />

spatial and temporal influence <str<strong>on</strong>g>of</str<strong>on</strong>g> the neighbors’ home transacti<strong>on</strong>s.<br />

In all models, the coefficient for this spatial adjustment parameter meets the expectati<strong>on</strong>s for sign<br />

and magnitude and is significant well above the 99% level, indicating both the presence <str<strong>on</strong>g>of</str<strong>on</strong>g><br />

spatial autocorrelati<strong>on</strong> and the appropriateness <str<strong>on</strong>g>of</str<strong>on</strong>g> the c<strong>on</strong>trol for it.<br />

Multicollinearity: <str<strong>on</strong>g>The</str<strong>on</strong>g>re are several standard formal tests for detecting multicollinearity within<br />

the independent variables <str<strong>on</strong>g>of</str<strong>on</strong>g> a regressi<strong>on</strong> model. <str<strong>on</strong>g>The</str<strong>on</strong>g> Variance-Inflati<strong>on</strong> Factor and C<strong>on</strong>diti<strong>on</strong><br />

Index is applied to test for this violati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> OLS assumpti<strong>on</strong>s. Specifically, a Variance-Inflati<strong>on</strong><br />

Factor (VIF) greater than 4 and/or a C<strong>on</strong>diti<strong>on</strong> Index <str<strong>on</strong>g>of</str<strong>on</strong>g> greater than 30 (Kleinbaum et al., 1988)<br />

are str<strong>on</strong>g indicators that multicollinearity may exist. Multicollinearity is found in the model<br />

using both tests. Such a result is not uncomm<strong>on</strong> in hed<strong>on</strong>ic models because a number <str<strong>on</strong>g>of</str<strong>on</strong>g><br />

characteristics, such as square feet or age <str<strong>on</strong>g>of</str<strong>on</strong>g> a home, are <str<strong>on</strong>g>of</str<strong>on</strong>g>ten correlated with other<br />

characteristics, such as the number <str<strong>on</strong>g>of</str<strong>on</strong>g> acres, bathrooms, and fireplaces. Not surprisingly, age <str<strong>on</strong>g>of</str<strong>on</strong>g><br />

the home at the time <str<strong>on</strong>g>of</str<strong>on</strong>g> sale (Age<str<strong>on</strong>g>of</str<strong>on</strong>g>Home) and the age <str<strong>on</strong>g>of</str<strong>on</strong>g> the home squared (AgeatHome_Sqrd)<br />

128 Put differently, the weight is the c<strong>on</strong>tributi<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> that home’s inverse distance to the total sum <str<strong>on</strong>g>of</str<strong>on</strong>g> the five nearest<br />

neighbors’ inverse distances.<br />

129 C<strong>on</strong>diti<strong>on</strong> requires rounding to the nearest integer and then creating a dummy from the 1-5 integers.<br />

137

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