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  

Study on mathematical analysis model for statistical distribution of the detected concentration of the cabin airborne microorganism

作　　者：陈双红 张建平 任小孟 李扬 周宏元 Chen Shuanghong;Zhang Jianping;Ren Xiaomeng;Li Yang;Zhou Hongyuan(Naval Medical Center,Naval Medical University,Shanghai 200433,China)

机构地区：[1]海军军医大学海军特色医学中心,上海200433 [2]解放军92578部队

出　　处：《中华航海医学与高气压医学杂志》2021年第6期702-706,共5页Chinese Journal of Nautical Medicine and Hyperbaric Medicine

摘　　要：目的研究舱室空气微生物浓度检测数据分布的有效统计学分析模型,为获取舱室空气微生物污染容许浓度理论限值提供手段。方法应用数学统计学原理,采用线性变换y=x、负指数变换y=1/x、根指数变换y=sqrt(x)、对数变换y=log10(x)和反三角函数变换y=arctg(x)5种数学映射变换处理检测数据;应用正态分布、伽玛分布、指数分布、瑞利分布、威布尔分布和贝塔分布6种概率函数模型分析数据的分布;在映射变换置信水平α=0.05下,采用KS检验方法对模型可接受性进行检验,当P≥α时判定为不拒绝该分布模型。结果舰艇舱室空气微生物浓度数据经线性变换、负指数变换、根指数变换、对数变换后,大型水面舰艇、潜艇舱室微生物浓度分布接受正态分布模型、伽玛分布模型和威布尔分布模型(P≥α);普通水面舰艇舱室微生物浓度分布接受威布尔分布模型(P≥α)。结论威布尔分布模型在舱室微生物数据分布统计学分析中通用性好,可用于容许浓度理论参数值演算。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 levelα=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.

关 键 词：舱室空气微生物 映射变换 概率函数 模型检验 

分 类 号：X51[环境科学与工程—环境工程]