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Math Help - RMSE Frequency Weighting

  1. #1
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    RMSE Frequency Weighting

    Hello. I signed up to these forums trying to find a solution to this... relatively simple problem.

    I'm trying to calculate the Root-Mean-Square Error of predicted and observed models (wind roses to be specific). The models each have several data points, and each data point has several values and frequencies.

    Code:
      data_point_1:         
        observed_frequency:     100 050 010
        observed_value:         0.5 0.3 0.5
        predicted_frequency:    090 060 005
        predicted_value:        0.4 0.5 0.3
      data_point_2:
        ...
    Disregarding the frequencies this is an easy thing to solve.

    Code:
    RMSE = (Sum((observed_value_p_i - predicted_value_p_i) ^ 2) / n_count_values) ^ (1 / 2)
    But the data points all have different frequencies on both the observed and predicted models (wind doesn't blow evenly in all directions), I need to weigh the Error based on the observed and predicted frequencies, and this part has me a bit stumped. Do any of you have an idea how to accomplish this?
    Last edited by Donitz; October 7th 2013 at 01:45 AM.
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