IDW otherwise known as inverse distance weighting is simplest of all the spatial interpolation methods for measuring dispersion of air pollution
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It is just the square root of the mean square error. The RMSE is the distance, on average, of a data point from the fitted line, measured along a vertical line. for more information, see: http://www.vernier.com/til/1014/

Thank u very much for the answer.

and this answer also your question how it can be used as an evaluation tool of spatial interpolation. you have your data, you take some data points out, you interpolate these and then you calculate sqrt((yy_hat))/N, where y is the data you have retained, y_hat is the interpolated data and N is the number of data points you have retained. do this for different interpolation methods to see which one is the best (the one with the smallest RMSE)

and additionally, 1 minus (RMSE squared)/variance(y) almost equals the quite well known R2... (you would need N1 instead of N in the denominator assuming the interpolation method is such that on average, (y  y_hat) must be zero)
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