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The Poisson Generalized Birnbaum-Saunders Cure Model and Application in Breast Cancer Data 泊松广义Birnbaum-Saunders治疗模型及其在乳腺癌数据中的应用
Pub Date : 2018-01-01 DOI: 10.4172/2155-6180.1000389
Mojtaba Meshkat, A. Baghestani, F. Zayeri
The cure rate survival models are generally used to model lifetime data with long term survivors. We assumes the number of competing causes of the event of interest has the Poisson distribution and the time to the event of interest follows the Generalized Birnbaum-Saunders distribution. The Poisson GB-S distribution has been defined and useful representations for its density function have been presented which facilitates obtaining some mathematical properties. The parameters of the model with cure rate have been estimated using the maximum likelihood method. For different sample sizes and censoring percentages, several simulations have been performed and a real data set from the medical area has been analyzed.
治愈率生存模型通常用于模拟长期幸存者的终生数据。我们假设引起感兴趣事件的竞争原因的数目符合泊松分布,而发生感兴趣事件的时间符合广义Birnbaum-Saunders分布。本文给出了泊松GB-S分布的定义,并给出了其密度函数的有用表示,从而便于获得一些数学性质。用极大似然法估计了具有固形率的模型参数。针对不同的样本量和审查百分比,进行了多次模拟,并对来自医学领域的真实数据集进行了分析。
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引用次数: 1
Taking Advantage of Taguchi Design Method to Optimize Medium Culture Conditions for Producing Recombinant Follicle Stimulating Hormone 利用田口设计法优化生产重组促卵泡激素的培养基条件
Pub Date : 2018-01-01 DOI: 10.4172/2155-6180.1000409
Minoo Qafary, M. Gharanfoli, Seyed Mehdi Qafari
Medium culture optimization is an Effective, available and financially affordable way to improve production of recombinant proteins produced by genetic engineering. The existence of varieties of parameters and different levels for each, makes it complex, time-consuming and expensive to determine the optimum point of all parameters by applying the factorial method. To overcome these difficulties, in this study, Taguchi robust design method was employed. The environmental parameter such as temperature, pH and glutamine concentration in 4 different levels were considered. According to the design of the experiments, FSH titer was measured. In comparison with the control condition, 14.92 fold overexpression was observed. The best level for these parameters was pH=7.0, 28°C and 2 mM Glutamine concentration. Citation: Qafary M, Gharanfoli M, Qafari SM (2018) Taking Advantage of Taguchi Design Method to Optimize Medium Culture Conditions for Producing Recombinant Follicle Stimulating Hormone. J Biom Biostat 9: 409. doi: 10.4172/2155-6180.1000409
培养基优化是一种有效的、可用的、经济上负担得起的方法,可以提高基因工程生产的重组蛋白的产量。由于参数的多样性和每个参数的不同层次的存在,使得用阶乘方法确定所有参数的最优点变得复杂、耗时和昂贵。为了克服这些困难,本研究采用了田口稳健设计方法。考虑了温度、pH、谷氨酰胺浓度等4种不同水平的环境参数。根据实验设计,测定卵泡刺激素滴度。与对照组相比,过表达量为14.92倍。这些参数的最佳水平为pH=7.0, 28°C, 2 mM谷氨酰胺浓度。引用本文:Qafary M, Gharanfoli M, Qafari SM(2018)利用田口设计法优化生产重组促卵泡激素的培养基条件。[J]中国生物医学工程学报,9(4):444 - 444。doi: 10.4172 / 2155 - 6180.1000409
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引用次数: 0
Construction of Sub-Clusters in the Cluster of Graph Representing the Protein Network 蛋白质网络聚类图中子聚类的构造
Pub Date : 2018-01-01 DOI: 10.4172/2155-6180.1000405
Tsitsiashvili Gurami
Previously an algorithm is constructed to replace each cluster (a class of cyclically equivalent vertices) in a directed graph (representing a protein network) with an acyclic sub-graph preserving all input and output vertices. This algorithm is continuing by an introduction of minimal number of edges between the output vertices and the input vertices in order to introduce feedbacks, stabilizing the functioning of the network. Citation: Gurami T (2018) Construction of Sub-Clusters in the Cluster of Graph Representing the Protein Network. J Biom Biostat 9: 405. doi: 10.4172/2155-6180.1000405
先前构造了一种算法,将有向图(表示蛋白质网络)中的每个簇(一类循环等效顶点)替换为保留所有输入和输出顶点的无环子图。该算法通过引入输出点和输入点之间的最小边数来继续引入反馈,稳定网络的功能。引用本文:Gurami T (2018) the Cluster of Graph of Cluster of Sub-Clusters of representation the Protein Network。[J] .中国生物医学工程学报,9(5):444。doi: 10.4172 / 2155 - 6180.1000405
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引用次数: 0
Empirical Comparison of the Breslow Estimator and the Kalbfleisch Prentice Estimator for Survival Functions. 生存函数的Breslow估计量和Kalbfleisch Prentice估计量的经验比较
Pub Date : 2018-01-01 Epub Date: 2018-02-28 DOI: 10.4172/2155-6180.1000392
Fang Xia, Jing Ning, Xuelin Huang

When analyzing time-to-event data in a non-parametric setting without considering covariates, the Kaplan-Meier estimator is widely used to estimate the survival function. When considering covariates, the Cox proportional hazards model is widely used to account for covariates effects. In this setting, for the baseline survival function, the most commonly used approach is the Breslow method, which estimates the baseline survival function as an exponential function of the cumulative baseline hazard function. However, an unnatural and undesirable feature of the Breslow estimator is that, its estimated survival probability will never reaches zero even if the last observation is an event. In this article, we consider an less commonly used alternative, the Kalbfleisch Prentice estimator for the baseline survival function. It is the counterpart of the Kaplan-Meier estimator in a setting with covariates, and thus similarly as the Kaplan Meier estimator, it will reach zero if the last observation is an event. To evaluate the usefulness of the Kalbfleisch Prentice estimator and its relative performance comparing with the Breslow estimator, we conduct simulation studies across a range of conditions by varying the true survival time distribution, sample size, censoring rate and covariate values. We compare the performance of the two estimators regarding bias, mean squared error and relative mean squared error. In most situations in our study, the Kalbfleisch Prentice estimator results in less bias and smaller mean squared error than the Breslow estimator. Their differences are especially clear at the tail of the distribution. The implications of such differences in applications are discussed. We advocate the use of Kalbfleisch Prentice estimator in practice, and further research on its properties.

当在不考虑协变量的非参数设置中分析时间到事件数据时,Kaplan-Meier估计量被广泛用于估计生存函数。当考虑协变量时,Cox比例风险模型被广泛用于解释协变量效应。在这种情况下,对于基线生存函数,最常用的方法是Breslow方法,该方法将基线生存函数估计为累积基线危险函数的指数函数。然而,Breslow估计器的一个不自然和不受欢迎的特征是,即使最后一次观察是一个事件,其估计的生存概率也永远不会达到零。在本文中,我们考虑一种不太常用的替代方法,即基线生存函数的Kalbfleisch Prentice估计器。在有协变量的情况下,它是Kaplan-Meier估计量的对应项,因此与Kaplan-Meier估计量类似,如果最后一次观测是一个事件,它将达到零。为了评估Kalbfleisch Prentice估计器的实用性及其与Breslow估计器的相对性能,我们通过改变真实生存时间分布、样本量、审查率和协变量值,在一系列条件下进行了模拟研究。我们比较了两种估计器在偏差、均方误差和相对均方误差方面的性能。在我们研究的大多数情况下,Kalbfleisch Prentice估计比Breslow估计产生更小的偏差和更小的均方误差。它们的差异在分布的尾部尤为明显。讨论了应用中这种差异的含义。我们提倡在实践中使用Kalbfleisch普伦蒂斯估计量,并进一步研究其性质。
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引用次数: 11
Using Statistical Techniques and Replication Samples for Missing Values Imputation with an Application on Metabolomics 在代谢组学上应用统计技术和复制样本进行缺失值估算
Pub Date : 2018-01-01 DOI: 10.4172/2155-6180.1000393
A. Yazdani, A. Yazdani
Background: Data preparation, such as missing values imputation and transformation, is the first step in any data analysis and requires crucial attention. We take advantage of availability of replication samples to identify the empirical distribution of missing values through utilization of statistical techniques. We apply these techniques to metabolomics data for imputation. Results: Using replication samples, we obtained the empirical distribution of missing values. After application of the techniques on metabolites, we observed that the rate of missing values is approximately distributed uniformly across metabolite range. Therefore, the missing values cannot be imputed with the lowest values. To have a realistic simulation, we designed a simulation study based on empirical distribution of missing values to find an optimal imputation approach. Our findings validated the optimal approach introduced previously for metabolomics. Conclusions: Our analysis utilized replication samples as a new approach to metabolite imputation and found empirical distribution of missing values, designed a simulation study close to reality, and compared different approaches for selecting an optimal imputation approach. The result of this study validated the optimal approach for metabolite imputation through a different data set and different approach, and the aim was to encourage researchers to pay more attention to metabolite imputation since imputing metabolomic missing values with lowest value is going to be a common approach, for example in genomic-metabolomic data analysis.
背景:数据准备,如缺失值的输入和转换,是任何数据分析的第一步,需要非常注意。我们利用复制样本的可用性,通过利用统计技术来确定缺失值的经验分布。我们将这些技术应用于代谢组学数据的imputation。结果:利用重复样本,得到了缺失值的经验分布。在将该技术应用于代谢物后,我们观察到缺失值的比率在代谢物范围内近似均匀分布。因此,缺失值不能用最低值进行估算。为了实现真实的仿真,我们设计了一个基于缺失值经验分布的仿真研究,以寻找最优的插值方法。我们的发现验证了先前为代谢组学引入的最佳方法。结论:我们的分析利用复制样本作为代谢物代入的新方法,找到了缺失值的经验分布,设计了接近现实的模拟研究,并比较了不同的方法来选择最佳的代入方法。本研究结果通过不同的数据集和不同的方法验证了代谢物归算的最佳方法,目的是鼓励研究人员更多地关注代谢物归算,因为以最小值归算代谢组缺失值将成为一种常见的方法,例如在基因组-代谢组数据分析中。
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引用次数: 3
Ultra-high Dimensional Variable Screening via Density Weighted Variance 密度加权方差超高维变量筛选
Pub Date : 2018-01-01 DOI: 10.4172/2155-6180.1000401
Jingke Zhou, Yingzhen Chen
Density Weighted Variance (DWV), a novel model-free feature screening criterion is proposed for mean regression with ultrahigh-dimensional covariates. Compared with existing model free screening criteria, DWV criterion possesses faster convergence rate for inactive co-varieties and is as same convergence rate as most existing variable screening procedures for active covariates. Furthermore, DWV criterion is extended to quintile regression and multiple response regression setting. Finally, numerical simulations and a real data analysis are conducted to show the finite sample performance of the proposed methods.
针对超高维协变量均值回归,提出了一种新的无模型特征筛选准则——密度加权方差(DWV)。与现有的无模型筛选准则相比,DWV准则对非活性协变量的收敛速度更快,对活性协变量的收敛速度与大多数现有的变量筛选程序相同。进一步将DWV准则扩展到五分位数回归和多响应回归设置。最后,通过数值模拟和实际数据分析,验证了所提方法的有限样本性能。
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引用次数: 0
Cost-effective Design of Growth Studies with Aggregation and Tracking 具有聚合和跟踪的增长研究的成本效益设计
Pub Date : 2018-01-01 DOI: 10.4172/2155-6180.1000406
S. Jiang, R. Cook
Studies of the development and growth of organisms are often conducted in laboratories where organisms maintained in tanks are examined repeatedly over time. Collection and recording of cross-sectional aggregate count data on stage occupancy is both less expensive and administratively more convenient than tracking the stages of each organism over time. In such settings tank to tank variation must also be taken into account as growth rates may be more similar among organisms within the same tank than for those in different tanks. We consider the cost effect design of a prospective developmental study of organisms based on a marginal Markov model which deals with between tank variation and within tank dependence. We develop a flexible design in which some tanks provide repeated cross-sectional aggregate data, and other tanks provide serial responses through tracking individuals. We assess the relative efficiency of aggregate and individual-level longitudinal data. The optimal cost-effective design is shown to depend on whether primary interest lies in transition intensities or associated cluster-level covariate effects. Citation: Jiang S, Cook RJ (2018) Cost-effective Design of Growth Studies with Aggregation and Tracking. J Biom Biostat 9: 406. doi: 10.4172/21556180.1000406
对生物体的发育和生长的研究通常是在实验室中进行的,在实验室中,保存在水箱中的生物体要经过一段时间的反复检查。收集和记录阶段占用的横断面总计数数据比跟踪每个生物体的阶段更便宜,管理上更方便。在这种情况下,还必须考虑到不同槽间的差异,因为同一槽内的生物的生长速度可能比不同槽内的生物更相似。我们考虑了基于边际马尔可夫模型的生物前瞻性发展研究的成本效应设计,该模型处理了坦克之间的变化和坦克内的依赖。我们开发了一种灵活的设计,其中一些储罐提供重复的横截面汇总数据,而其他储罐通过跟踪个人提供连续响应。我们评估了总体和个人纵向数据的相对效率。研究表明,最优的成本效益设计取决于主要关注的是转移强度还是相关的集群水平协变量效应。引用本文:蒋胜,Cook RJ(2018)基于聚集和跟踪的增长成本效益设计研究。[J]中国生物医学工程学报,9(4):444 - 444。doi: 10.4172/21556180.1000406
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引用次数: 1
Socioeconomic and Demographic Factors Patterning Smokeless Tobacco Use Behavior in Bangladesh: A Cross-Sectional Multilevel Analysis 影响孟加拉国无烟烟草使用行为的社会经济和人口因素:横断面多水平分析
Pub Date : 2018-01-01 DOI: 10.4172/2155-6180.1000411
M. Begum, P. Sultana
Background: Smokeless tobacco is also highly addictive and causes cancer of the head and neck, esophagus and pancreas, besides many oral diseases. Bangladesh is one of the most prevalent smokeless tobacco consumption countries in the world. This paper aimed to examine the socioeconomic and demographic factors patterning smokeless tobacco consumption among adults aged 15 years and above in Bangladesh using multilevel analysis. Materials and methods: A cross sectional, nationally representative sample of individuals from the Global Adult Tobacco Survey in Bangladesh (2010), which covered 9629 individuals aged 15 years and above using multi-stage stratified cluster sampling has been analyzed. Smokeless tobacco use daily was considered as outcome variable. Multilevel logistic regression analysis has been used with individuals nested within clusters. Measures of association (odds ratio) and measures of variance (intra-class correlation (ICC)) have been calculated, as well as the discriminatory accuracy by calculating the area under the ROC curve (AUC). Also the comparison between single and multilevel model has been done to investigate the necessity of multilevel effects. Results: According to the multilevel logistic regression model female use smokeless tobacco more than male (odds ratio (OR): 1.72, 95% CI: 1.39, 2.07). The use of smokeless tobacco by age was highest among older group (>46 years) than youngest group (≤24 years) (OR: 16.04, 95% CI: 12.60, 20.53). The smokeless tobacco use was highest among the least educated (no formal education) (OR=4.93, 95% CI: 3.28, 7.41) compared to highest educated (college/university completed or above) respondent. Respondents from the poorest wealth index were significantly more likely to consume smokeless tobacco (OR 1.67, 95%CI: 1.33, 2.09) compared to respondents of richest wealth index. Conclusions: There is an urgent need to curb the use of smokeless tobacco among female, less educated, older and of lowest wealth index. Tobacco control policies in Bangladesh should adopt a targeted, population-based approach to control and reduce tobacco consumption considering of socioeconomic and demographic factors to make it successful in the country. Citation: Begum M, Sultana P (2018) Socioeconomic and Demographic Factors Patterning Smokeless Tobacco Use Behavior in Bangladesh: A Cross-Sectional Multilevel Analysis. J Biom Biostat 9: 411. doi: 10.4172/2155-6180.1000411
背景:无烟烟草也很容易上瘾,除了许多口腔疾病外,还会导致头颈癌、食道癌和胰腺癌。孟加拉国是世界上无烟烟草消费最普遍的国家之一。本文旨在利用多层次分析,研究影响孟加拉国15岁及以上成年人无烟烟草消费的社会经济和人口因素。材料和方法:采用多阶段分层整群抽样方法,对来自孟加拉国全球成人烟草调查(2010年)的具有全国代表性的横截面样本进行了分析,该样本涵盖9629名15岁及以上的个人。每天使用无烟烟草被认为是结果变量。多水平逻辑回归分析已用于嵌套在集群中的个体。计算了关联度量(比值比)和方差度量(类内相关性(ICC)),并通过计算ROC曲线下面积(AUC)计算了判别精度。并通过对单层模型和多层模型的比较,探讨了多层效应的必要性。结果:根据多水平logistic回归模型,女性使用无烟烟草的比例高于男性(优势比(OR): 1.72, 95% CI: 1.39, 2.07)。按年龄划分的无烟烟草使用情况,老年组(0 ~ 46岁)高于年轻组(≤24岁)(OR: 16.04, 95% CI: 12.60, 20.53)。与受教育程度最高(完成大专或以上)的受访者相比,受教育程度最低(未接受正规教育)的受访者无烟烟草使用率最高(OR=4.93, 95% CI: 3.28, 7.41)。与最富有的财富指数的受访者相比,最贫穷财富指数的受访者更有可能消费无烟烟草(OR 1.67, 95%CI: 1.33, 2.09)。结论:迫切需要遏制女性、受教育程度较低、年龄较大和财富指数最低人群的无烟烟草使用。孟加拉国的烟草控制政策应采取有针对性的、以人口为基础的方法,考虑到社会经济和人口因素,控制和减少烟草消费,使其在该国取得成功。引用本文:Begum M, Sultana P(2018)社会经济和人口因素对孟加拉国无烟烟草使用行为的影响:横断面多层次分析。[J]中国生物医学工程学报,9(2):416。doi: 10.4172 / 2155 - 6180.1000411
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引用次数: 2
Interpolation-Collocation Method of Solution for Solving Poisson Equation 泊松方程解的插值-配点法
Pub Date : 2018-01-01 DOI: 10.4172/2155-6180.1000388
Sunday Babuba
In this paper, we consider the system of algebraic equations arising from the discretization of elliptic partial differential equation with respect to x and y axes. To compute the solution of the resulting equations we use the new method to solve various elliptic equations. We study the numerical accuracy of the method. The numerical results have shown that the method provided exact result depending on the particular equation on which the scheme is applied.
本文考虑了椭圆型偏微分方程关于x轴和y轴的离散化所产生的代数方程组。为了计算得到的方程的解,我们用新方法求解了各种椭圆方程。研究了该方法的数值精度。数值结果表明,该方法在特定方程的情况下能提供精确的结果。
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引用次数: 0
Predictors of Body Mass Index among Pregnant Women in Nigeria: A Comparison of Ordinary Least Squares Regression and Quantile Regression Models Using Machine Learning Approach 尼日利亚孕妇体重指数的预测因素:使用机器学习方法的普通最小二乘回归和分位数回归模型的比较
Pub Date : 2018-01-01 DOI: 10.4172/2155-6180.1000402
D. T. Ajayi, S. Bello
Poor nutrition during pregnancy is a major public health problem. Maternal under nutrition is a significant risk factor for maternal morbidity, mortality, poor birth outcomes (e.g. low birth weight), and infant mortality. Maternal under nutrition is defined as having a body mass index (BMI) <18.5 kg/m2. Previous studies on maternal BMI utilized classical statistical approach, whose criteria for model assessment are goodness-of-fit test and residual examination. The aim of this study was to identify predictors of BMI among pregnant women in Nigeria, and to compare the performance of ordinary least squares (OLS) regression and quantile regression using machine learning approach. This study utilized data from the 2013 Nigeria Demographic and Health Survey. A total of 3,049 pregnant women were included in the study. Data were summarized using descriptive statistics. The assumption of normality of the outcome variable (BMI) was tested using one-sample Kolmogorov-Smirnov test. Bivariate associations of BMI with independent variables were assessed using robust (nonparametric) statistical techniques: Kendall’s tau correlation for continuous predictors, Wilcoxon rank sum test for binary predictors and Kruskal-Wallis test for multinomial predictors. Predictors of maternal BMI were investigated using OLS and quantile regression analyses. Model assessment was made using 10-fold cross-validation. A two-tailed p-value <0.05 was considered statistically significant. The respondents had a mean age of 28.22 ± 6.30 years, and a mean BMI of 23.81 ± 4.18 kg/m2. Multivariate analyses identified respondent’s age, duration of pregnancy, wealth class, and residence as predictors of maternal BMI. The crossvalidated mean squared error for the OLS regression model was lower than that for the quantile regression model. Respondent’s age, duration of pregnancy, wealth class, and residence were significantly associated with maternal BMI. OLS regression model fit the data more than the quantile regression model. Citation: Ajayi DT, Bello S (2018) Predictors of Body Mass Index among Pregnant Women in Nigeria: A Comparison of Ordinary Least Squares Regression and Quantile Regression Models Using Machine Learning Approach. J Biom Biostat 9: 402. doi: 10.4172/2155-6180.1000402
怀孕期间营养不良是一个重大的公共卫生问题。孕产妇营养不良是孕产妇发病率、死亡率、不良出生结果(如出生体重过低)和婴儿死亡率的一个重要风险因素。母亲营养不良的定义是身体质量指数(BMI) <18.5 kg/m2。以往对母体BMI的研究采用经典统计学方法,模型评价标准为拟合优度检验和残差检验。本研究的目的是确定尼日利亚孕妇体重指数的预测因素,并使用机器学习方法比较普通最小二乘(OLS)回归和分位数回归的性能。这项研究利用了2013年尼日利亚人口与健康调查的数据。共有3049名孕妇参与了这项研究。数据采用描述性统计进行汇总。结果变量(BMI)的正态性假设采用单样本Kolmogorov-Smirnov检验。使用稳健(非参数)统计技术评估BMI与自变量的双变量关联:Kendall 's tau相关性用于连续预测,Wilcoxon秩和检验用于二元预测,Kruskal-Wallis检验用于多项预测。采用OLS和分位数回归分析对产妇BMI的预测因素进行研究。模型评估采用10倍交叉验证。双尾p值<0.05认为有统计学意义。受访者平均年龄28.22±6.30岁,平均BMI为23.81±4.18 kg/m2。多变量分析确定了被调查者的年龄、怀孕持续时间、财富等级和居住地作为母亲BMI的预测因子。OLS回归模型的交叉验证均方误差低于分位数回归模型。被调查者的年龄、怀孕时间、财富等级和居住地与母亲的BMI显著相关。OLS回归模型比分位数回归模型更能拟合数据。引用本文:Ajayi DT, Bello S(2018)尼日利亚孕妇体重指数的预测因子:使用机器学习方法的普通最小二乘回归和分位数回归模型的比较。[J]中国生物医学杂志,9(2):442。doi: 10.4172 / 2155 - 6180.1000402
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引用次数: 0
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Journal of biometrics & biostatistics
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