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Power transformation analysis method for non-normal distribution water quality observation data

A technology of observed data and normal distribution, applied in the field of environmental engineering, can solve problems such as poor data transformation effect, and achieve the effect of improving accuracy and reducing complexity

Active Publication Date: 2019-10-08
SUN YAT SEN UNIV
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Problems solved by technology

[0004] The present invention provides a non-normal distribution oriented method to solve the problem that the selected transformation method is not suitable for the characteristics of the water plant observation variables when performing data transformation on the existing non-normal distribution water quality observation data, which leads to poor data transformation effect and the like. Power Transform Analysis Method of Water Quality Observation Data

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  • Power transformation analysis method for non-normal distribution water quality observation data
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  • Power transformation analysis method for non-normal distribution water quality observation data

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Embodiment 1

[0084] A power transformation analysis method for non-normally distributed water quality observation data, comprising the following steps:

[0085] S1. Obtain water quality observation data with non-normal distribution, and calculate the estimated values ​​of corresponding parameters after normal transformation processing of water quality observation data by different normal transformation methods. The estimated values ​​of corresponding parameters include: after normal transformation processing , the mean value, standard deviation and transformation parameters of the water quality observation data distribution; wherein in the present embodiment 1, different normal transformation methods include identity transformation, logarithmic transformation, Box-Cox transformation and Yeo-Johnson transformation; wherein the estimated parameters adopt The method of the maximum likelihood function, and use the downhill simplex method to solve;

[0086] For the Box-Cox transformation, in st...

Embodiment 2

[0152] This embodiment 2 is based on the method of embodiment 1 to carry out the experiment, taking the chemical oxygen demand (COD) daily observation sequence of a sewage treatment plant as the experimental data, the length of the water quality observation sequence is 655 days, and the relevant statistical parameters are as shown in table 1 ;

[0153]

[0154] Table 1

[0155] According to the logarithmic normal distribution and the normal distribution K-S test pvalue in Table 1, it can be considered that the sequence obeys the lognormal distribution. As the input water quality observation sequence of non-normal distribution, the identity, Box-Cox, Yeo-Johnson, and logarithmic transformation parameter estimates, obtaining different transformation results. In addition, this embodiment 2 further draws a quantile-quantile diagram (Q-Q diagram) according to the transformation result. The Q-Q diagram adopts a graphical method to identify whether the sample data is similar to a...

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Abstract

The invention discloses a power transformation analysis method for non-normal distribution water quality observation data. The method comprises the steps of firstly, separately calculating the estimated values of the corresponding parameters after the water quality observation data is subjected to normal transformation processing through different normal transformation methods; setting a specificmeasurement index, and carrying out calculation and comparison, so that the optimal normal transformation method is selected according to the data characteristics of water quality observation, the transformed data has the better normality, and finally, the water quality observation data subjected to normal transformation processing through the optimal transformation method is used as the input data for the statistical analysis of water quality observation, and accordingly the analysis effect is improved. According to the method disclosed by the invention, the transformed data has the better normality, the further data analysis is facilitated, and the problems of poor data transformation effect and the like due to the fact that the selected transformation method does not adapt to the characteristics of the observation variable of a water plant, are solved.

Description

technical field [0001] The invention relates to the technical field of environmental engineering, in particular to a power transformation analysis method for non-normally distributed water quality observation data. Background technique [0002] The mining and statistical analysis of water quality observation sequences often require the data to be normally distributed, but in practice, many original water quality sequences do not appear to be normally distributed, and it is necessary to perform normal transformation of the data without losing information. [0003] At present, the transformation method commonly used in water quality series is logarithmic transformation, but in the actual operation of water plants, some variables are still skewed after logarithmic transformation, especially negatively skewed data, which will increase their skewness after logarithmic transformation. Spend. At the same time, due to the large number of observation variables, long sequences and un...

Claims

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Application Information

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IPC IPC(8): G06F16/2458G06F17/15G06F17/18G06Q50/06
CPCG06F17/15G06F17/18G06Q50/06G06F16/2462G06F16/2474Y02A20/152
Inventor 赵铜铁钢陈浩玲
Owner SUN YAT SEN UNIV
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