Mixture Gaussian probability density weighting based grading model and system
A mixed Gaussian and model technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as depression, loss of scoring information, and improvement of scoring
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[0027] The present invention will be described in detail below in conjunction with examples.
[0028] Example description: In a large-scale competition, a total of 10 judges rate the competition level of all contestants. The scores of the two contestants A and B are respectively:
[0029] S A =(70, 72, 85, 87, 86, 90, 94, 91, 89, 90)
[0030] S B =(78,84,87,88,87,86,89,85,86,87)
[0031] (1) Data distribution fitting
[0032] The two sets of data were fitted separately using a mixture of Gaussian distributions. In this patent, the EM algorithm is used to estimate the parameters in the mixed Gaussian distribution. Assuming that the mixed Gaussian distribution is composed of two Gaussian distributions, the score data is first normalized to the (-1, 1) interval. Calculate the parameters of players A and B as:
[0033] alpha A =(0.8197, 0.1803) α B =(0.8306, 0.1694)
[0034] mu A =(10,10.2) μ B =(9.8,10.1)
[0035] σ A =(11,13) σ B =(10,13)
[0036] (2) Interval div...
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