Study on mathematical analysis model for statistical distribution of the detected concentration of the cabin airborne microorganism
10.3760/cma.j.cn311847-20210331-00107
- VernacularTitle:舱室空气微生物浓度检测数据统计学分布数学分析模型研究
- Author:
Shuanghong CHEN
1
;
Jianping ZHANG
;
Xiaomeng REN
;
Yang LI
;
Hongyuan ZHOU
Author Information
1. 200433 上海，海军军医大学海军特色医学中心
- Publication Type:Journal Article
- Keywords:
Cabin airborne microorganism;
Mapping transformation;
Probability function;
Model test
- From:
Chinese journal of nautical medicine and hyperbaric medicine
2021;28(6):702-706
- CountryChina
- Language:Chinese
-
Abstract:
Objective:To find an effective statistical analysis model for analyzing the detected concentration of the cabin airborne microorganism, so as to provide a method to obtain the theoretical limits of allowable concentration of cabin airborne microbial pollution.Methods:According to the principles of mathematical statistics, the detected data were processed by five mapping transformations: linear transformation y= x, negative exponential transformation y=1/ x, root exponential transformation y=sqrt( x), logarithmic transformation y=log10( x), and inverse trigonometric function transformation y=arctg( x). The distribution of data was analyzed by six probability function models: normal distribution, gamma distribution, exponential distribution, Rayleigh distribution, Weibull distribution, and beta distribution; when the mapping transformation confidence level α=0.05, Kolmogorov-Smirnov test (KS test) was used to test the acceptability of the model. When P≥α, the distribution model was deemed as "not to be rejected" . Results:After linear transformation, negative exponential transformation, root exponential transformation, and logarithmic transformation, the detected concentrations of the cabin airborne microorganism of large surface warships and submarines accepted normal distribution model, gamma distribution model, and Weibull distribution model ( P≥α), while that in the ordinary surface warships accepted Weibull distribution model ( P≥α). Conclusion:Weibull distribution model has good generality in the statistical analysis of the detected concentration of the cabin airborne microorganism, which can be used to calculate the theoretical parameters of allowable concentration.
