Auto-selection order of Markov chain for background sequences with chi-square test

Modeling non coding background sequences appropriately is important for the detection of regulatory elements from DNA sequences. Based on the chi square statistic test, some explanations about why to choose higher order Markov chain model and how to automatically select the proper order are given in this paper. The chi square test is first run on synthetic data sets to show that it can efficiently find the proper order of Markov chain. Using chi square test, distinct higher order context dependences inherent in ten sets of sequences of yeast S.cerevisiae from other literature have been found. So the Markov chain with higher order would be more suitable for modeling the non coding background sequences than an independent model.

大锻件统计学Chi-square test的研究和应用

根据大锻件生产的特点和统计学的基本理论方法,首次深入浅出地论述了大锻件的Chi-square test,即X2检验,并给出了具体应用示例。该方法可用于大锻件工艺参数的科学分析和生产验证,可用于大锻件质量分析和判断,可帮助逐步建立起大锻件的工序能力,帮助实现稳定并提升大锻件工艺和质量控制水平。

Large Deviations and Moderate Deviations for the Chi-Square Test in Type Ⅱ Error

We study the asymptotics tot the statistic of chi-square in type Ⅱ error. By the contraction principle, the large deviations and moderate deviations are obtained, and the rate function of moderate deviations can be calculated explicitly which is a squared function.

Use of Pearson’s Chi-Square for Testing Equality of Percentile Profiles across Multiple Populations

In large sample studies where distributions may be skewed and not readily transformed to symmetry, it may be of greater interest to compare different distributions in terms of percentiles rather than means. For example, it may be more informative to compare two or more populations with respect to their within population distributions by testing the hypothesis that their corresponding respective 10th, 50th, and 90th percentiles are equal. As a generalization of the median test, the proposed test statistic is asymptotically distributed as Chi-square with degrees of freedom dependent upon the number of percentiles tested and constraints of the null hypothesis. Results from simulation studies are used to validate the nominal 0.05 significance level under the null hypothesis, and asymptotic power properties that are suitable for testing equality of percentile profiles against selected profile discrepancies for a variety of underlying distributions. A pragmatic example is provided to illustrate the comparison of the percentile profiles for four body mass index distributions.

A Simple Chi-Square Statistic for Testing Homogeneity of Zero-Inflated Distributions

Zero-inflated distributions are common in statistical problems where there is interest in testing homogeneity of two or more independent groups. Often, the underlying distribution that has an inflated number of zero-valued observations is asymmetric, and its functional form may not be known or easily characterized. In this case, comparisons of the groups in terms of their respective percentiles may be appropriate as these estimates are nonparametric and more robust to outliers and other irregularities. The median test is often used to compare distributions with similar but asymmetric shapes but may be uninformative when there are excess zeros or dissimilar shapes. For zero-inflated distributions, it is useful to compare the distributions with respect to their proportion of zeros, coupled with the comparison of percentile profiles for the observed non-zero values. A simple chi-square test for simultaneous testing of these two components is proposed, applicable to both continuous and discrete data. Results of simulation studies are reported to summarize empirical power under several scenarios. We give recommendations for the minimum sample size which is necessary to achieve suitable test performance in specific examples.

基于Chi-square检验的分布式网络入侵检测系统

针对网络攻击的新特点,本文提出了一种基于Chi-square检验的分布式网络入侵检测系统模型CTDIDS。设计并实现了一个基于异常检测的入侵分析引擎。通过对网络数据包的分析,运用Chi-square值比较对系统的行为进行检测。与现有的入侵检测方法相比,本文提出的方法具有更好的环境适应性和数据协同分析能力。实验证明,分布式入侵检测系统CTDIDS具有更高的准确性和扩展性。

Chi-Square Distribution: New Derivations and Environmental Application

We describe two new derivations of the chi-square distribution. The first derivation uses the induction method, which requires only a single integral to calculate. The second derivation uses the Laplace transform and requires minimum assumptions. The new derivations are compared with the established derivations, such as by convolution, moment generating function, and Bayesian inference. The chi-square testing has seen many applications to physics and other fields. We describe a unique version of the chi-square test where both the variance and location are tested, which is then applied to environmental data. The chi-square test is used to make a judgment whether a laboratory method is capable of detection of gross alpha and beta radioactivity in drinking water for regulatory monitoring to protect health of population. A case of a failure of the chi-square test and its amelioration are described. The chi-square test is compared to and supplemented by the t-test.

北美CHIHUAHUAN荒漠啮齿动物群落动态Ⅲ．变量的频次分布和预测

本文用ｘ￣２方和柯尔莫哥洛夫检验分析了北美Ｃｈｉｈｕａｈｕａｎ荒漠啮齿动物群落６个生态学变量的频次分布，并用移动平均和指数平滑方法拟合了这些变量的动态变化。结果显示：１）结合种群密度、生物量、物种均匀性和生物量均匀性服从正态分布；２）物种数和物种多样性的频次为向右偏斜的分布，无法用常见的理论分布来近似表示；３）单移动平均和双移动平均分别较好地描述了物种多样性和物种均匀性；４）其余４个变量可用单指数平滑来较好的描述。

基于Chi-quare检验与词义分析的试题重复检测算法

针对无纸化考试系统入库试题重复检测问题;提出基于卡方检验与词义分析的试题重复检测算法,首先自动提取试题的特征信息词项,利用卡方检验改进公式进行特征词分析并删除冗余词;其次,结合中文WordNet词典对特征词进行词义分析,并利用Tf-Idf方法计算入库试题的特征词向量与不同题型特征词的余弦相似度;最后,根据所得相似度值判别该试题是否与题库试题重复。实验结果表明,在重复度阀值选取0.8时,算法耗时少、准确性高。

Practical integrated navigation fault detection algorithm based on sequential hypothesis testing

In detecting system fault algorithms,the false alarm rate and undectect rate generated by residual Chi-square test can affect the stability of filters.The paper proposes a fault detection algorithm based on sequential residual Chi-square test and applies to fault detection of an integrated navigation system.The simulation result shows that the algorithm can accurately detect the fault information of global positioning system（GPS）,eliminate the influence of false alarm and missed detection on filter,and enhance fault tolerance of integrated navigation systems.

基于BIG-WFCHI的微博信息关键特征选择方法

特征选择是用机器学习方法提高转发预测精度和效率的关键步骤,其前提是特征提取.目前,特征选择中常用的方法有信息增益(Information Gain,IG)、互信息和卡方检验(CHI-square test,CHI)等,传统特征选择方法中出现低频词引起的信息增益和卡方检验的负相关、干扰计算等问题,导致分类准确率不高.本文首先针对低频词引起的信息增益和卡方检验的负相关、干扰计算等问题进行研究,分别引入平衡因子和词频因子来提高算法的准确率;其次,根据微博信息传播的特点,结合改进的IG算法和CHI算法,提出了一种基于BIG-WFCHI(Balance Information Gain-Word Frequency CHI-square test)的特征选择方法.实验分析中,本文采用基于最大熵模型、支持向量机、朴素贝叶斯分类器、KNN和多层感知器5种分类器对两个异构数据集进行了测试.实验结果表明,本文提出的方法能有效消除无关特征和冗余特征,提高分类精度,并减少运算时间.

A Note on Cochran Test for Homogeneity in Two Ways ANOVA and Meta-Analysis

In this paper, we generalize the proof of the Cochran statistic in the case of an ANOVA two ways structure that asymptotically follows a Chi-2. While construction of homogeneity statistics test usually resorts to the determination of the covariance matrix and its inverse, the Moore-Penrose matrix, our approach, avoids this step. We also show that the Cochran statistic in ANOVA two ways is equivalent to conventional homogeneity statistics test. In particular, we show that it satisfies the invariance property. Finally, we conduct empirical verification from a meta-analysis that confirms our theoretical results.

On the Different Ways to Handle the Trend of Disease Risk in Genetic Association Tests

Genetic association studies usually apply the simple chi-square (χ2)-test for testing association between a single-nucleotide polymorphism (SNP) and a particular phenotype, assuming the genotypes and phenotypes are independent. So, the conventional χ2-test does not consider the increased risk of an individual carrying the increasing number of disease responsible allele (a particular genotype). But, the association tests should be performed with the consideration of this disease risk according to the mode of inheritance (additive, dominant, recessive). Practical demonstration of the two possible methods for considering such order or trends in contingency tables of genetic association studies using SNP genotype data is the purpose of this paper. One method is by pooling the genotypes, and the other is scoring the individual genotypes, based on the disease risk according to the inheritance pattern. The results show that the p-values obtained from both the methods are similar for the dominant and recessive models. The other important features of the methods were also extracted using the SNP genotype data for different inheritance patterns.

GNSS/SINS/视觉导航鲁棒算法

全球导航卫星系统(Global Navigation Satellite System, GNSS)、捷联惯性导航系统(Strapdown Inertial Navigation System, SINS)和视觉传感器优势互补,3者信息融合可获得高精度、无漂移的导航定位信息.针对GNSS/SINS/视觉融合导航易受运动速度、光照变化、遮挡等影响导致定位精度和鲁棒性降低问题,本文在图优化框架的代价函数中加入SoftLOne鲁棒核函数,设置量测值粗差检验程序,降低离群点带来的负面影响.进一步,对量测值计算残差进行卡方检验,对超限残差降权处理,提高系统精度和鲁棒性.实验结果表明,本文算法较不施加鲁棒核函数、不采用异常值剔除策略和卡方检验的传统算法,以及加入其他鲁棒核函数的算法精度更高、鲁棒性更好,能够较大程度提升GNSS/SINS/视觉导航定位精度和鲁棒性,在大尺度环境下,未出现较大漂移误差,绝对位姿均方根误差0.735 m,绝对位姿误差标准差0.336 m.

基于正交性原理的组合导航系统故障检测

针对传统故障检测算法对组合导航系统的缓变故障检测效率不高的问题,提出了一种基于正交性原理的故障检测算法。无故障时,卡尔曼滤波相邻残差满足正交关系,残差正交值为零均值的白噪声序列;有故障时,相邻残差高度相关,残差正交值不满足零均值条件。综上所述,以残差正交值为基础,构建卡方检验算法以实现对故障的检测。残差正交值的特殊结构使其对故障较敏感。实验结果表明,该算法对缓变故障的检测效果优于残差卡方检验算法和渐消序贯概率比检验(sequential probability ratio test,SPRT)算法,提高了组合导航系统的估计精度与可靠性。

HIV Testing Decision and Determining Factors in Ghana

Knowledge on individual’s HIV/AIDS status provides a tool to reduce or avoid HIV transmission, spread and mortalities due to HIV-related illness. However, most people still do not know their HIV status because they are not willing to test for HIV/AIDS due to various reasons. Hence the aim of this paper is to investigate the effects of various risk factors that are likely to influence decision to ever test for HIV/AIDS. The data used in this paper were obtained from the Ghana Demographic and Health Survey (n = 1828 observations and 32 risk factors). We applied the Chi-Square test statistic and the logistic regression model to the data in order to study the effects of these risk factors on one’s decision to ever test for HIV. STATA version 14.1 and R version 3.5.2 were used to carry out the statistical analyses. Generally, the results show that education, especially higher education significantly (OR = 0.53, 95% = 0.230, 0.837) increases the likelihood to ever test for HIV. Also, the younger the age groups the higher the effect and significance in the likelihood to ever test for HIV. We found that HIV-TB co-infection (OR = 0.53, 95% = 0.165, 0.893), use of condom anytime one has sex (OR = 0.31, 95% = 0.054, 0.573), wealth index (OR = 0.46, 95% = 0.137, 0.791), awareness of HIV transmission during child-delivery, number of partners significantly affect HIV testing. Those with many partners are less likely (OR = -0.26, 95% = -0.504, -0.007) to ever test for HIV and those who know that healthy person may have HIV are more likely (OR = 0.41, 95% = 0.137, 0.679) to ever test for HIV. Age is the common significant risk factor of ever tested for HIV across the 10 regions in Ghana. Resources should be allocated for more education on these significant risk factors in order to help in the fight against HIV-Health related issues.

HFACS-MI改进模型在危险化学品仓储事故人因分析中的应用

为了研究危险化学品仓储事故的关键人因,通过人因分析与分类系统-煤矿(Human Factors Analysis and Classification System-Mine,HFACS-MI)改进模型从员工的不安全行为、影响不安全行为的前提条件、监督行为、组织影响和企业外部因素5个层次系统地分析65起危险化学品仓储事故,并运用卡方检验和让步比分析了产生不安全行为的原因和各层次间的内在关系。结果表明,外部管理、组织过程、监督不充分、个人因素、技能差错和违规是导致危险化学品仓储事故发生的重要因素。HFACS-MI改进模型上下层级的人为因素间存在显著的因果关系,且主要的危险化学品仓储事故致因路径共有5条,其中“外部管理因素—组织过程漏洞—监督不充分—个人因素—违规”是最关键的致因路径。改进的HFACS-MI模型可以有效分析危险化学品仓储事故人因因素。

高校实验室安全事故人为因素及其影响路径分析

为了通过人因分析与分类系统模型从组织影响、不安全的监督、不安全行为的前提条件和不安全行为4个层面探究高校实验室安全事故的关键人因及其影响路径。对90起高校实验室事故(2000—2022年)进行统计分析,并运用卡方检验和让步比探讨了产生不安全行为的原因和各层次间的内在联系。结果表明:组织过程简单、监督不充分、个人因素、技能失误和习惯性违规是导致高校实验室事故发生的重要因素;模型中高低层级的人为因素间存在显著的因果关系,且主要的实验室事故致因路径共有16条。根据各层级事故致因形式,剖析了针对性的高校实验室事故的影响过程。

自适应初始光子收集半径的卡方渐进光子映射

卡方渐进光子映射(chi-squared progressive photon mapping, CPPM)使用K近邻法(K nearest neighbor, KNN)为命中点确定初始半径,导致图像中光照均匀区域的噪点及明暗交界区域和焦散区域的模糊。针对此问题,提出一种计算光子映射初始半径的算法,自适应地为各命中点确定初始半径:为CPPM算法增加预处理环节,根据对光子分布的均匀程度的检验及对高频区域的筛选为命中点设置初始半径,以保证光照均匀区域的命中点保持在大半径上,光照变化区域的命中点半径快速下降。实验结果表明,改进算法减少了光子映射算法的方差和偏差,提高了渲染效果。