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CABARRUS COUNTY 2012 APPRAISAL MANUAL <br />NON PARAMETRIC STATISTICS <br />This class of statistics is useful in that unlike many statistical tools, they do not depend on having normally distributed values <br />to be meaningful. <br />The most usable is the chi - squared statistic. It is simple and is very useful in testing a number of common questions or <br />hypotheses which you pose formally or informally in appraising. <br />Suppose, for instance, you have collected a set of observations of the sale parcels in an area and you wish to compare the <br />distribution of these sales with the distribution of all parcels for the area to see if the distributions match up and will give you <br />some assurance that the sales are comparable to the universe of all parcels. To do this let us assume you use a single method of <br />classification, age, and restrict the discussion to only a single exterior wall type (a good discriminator). <br />How do you proceed? First classify the sale parcels into groups of 5 years although the greater of lesser intervals could have <br />been selected depending on our data. For example: <br />TABLE OF ACTUAL FREQUENCIES <br />FOR SALE PARCELS <br />AGE (in years) <br />FREQUENCY <br />PERCENT OF <br />INTERVAL <br />IN NUMBER <br />TOTAL <br />1 - 5 <br />10 <br />13.2 <br />6 - 10 <br />22 <br />28.8 <br />11 - 15 <br />17 <br />22.4 <br />16 - 20 <br />10 <br />13.2 <br />21 - 25 <br />7 <br />9.2 <br />26 - 30 <br />10 <br />13.2 <br />76 <br />100.0% <br />Then classify all parcels for the area into groups of a like interval used with the sale parcels. For example: <br />TABLE OF ACTUAL FREQUENCIES <br />FOR SALE PARCELS <br />AGE (in years) <br />FREQUENCY <br />PERCENT OF <br />INTERVAL <br />IN NUMBER <br />TOTAL <br />1 - 5 <br />128 <br />12.2 <br />6 - 10 <br />234 <br />22.4 <br />11 - 15 <br />355 <br />33.9 <br />16 - 20 <br />139 <br />13.3 <br />21 - 25 <br />87 <br />8.3 <br />26 - 30 <br />104 <br />9.9 <br />1,047 <br />100.0% <br />Cabarrus County — 2012 Revaluation <br />STATISTICS & THE <br />APPRAISAL PROCESS <br />10-10 <br />8/9/11 <br />Attachment number 11 <br />G -6 Page 305 <br />