give importance weighting to sample points in an IDW-interpolation

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I am trying to make an IDW-interpolation in arcgis 10.1. In my sample file i have points with the same x,y and z values. According the arcgis-resource-site, the points are considered duplicates and have no effect on the output. However, i want these points to have an effect: the more often a certain value has been observed in a location, the more important that z-value should be. Is there a way to circumvent this ignoring of duplicate sample points, or to use the number of duplicate points as a 'weight-value' to indicate relative importance of sample points?

Thanks in advance, Thom



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