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A Study Verifying the Dimensioning of a Multivariate Dichotomized Sample in Exploratory Factor Analysis 探索性因子分析中多元二分类样本的维度验证研究
Q3 Mathematics Pub Date : 2020-03-09 DOI: 10.22237/jmasm/1556669760
Rosilei S. Novak, J. Marques
The sample size dichotomized was related to the measure of sampling adequacy, considering the explanations provided by factors and commonalities. Monte Carlo simulation generated multivariate normal samples and varying the number of observations, the factor analysis was applied in each sample dichotomized. Results were modeled by polynomial regression based on the sample sizing.
考虑到因素和共性提供的解释,二分样本量与抽样充分性的衡量有关。蒙特卡罗模拟生成多变量正态样本,并改变观测次数,对每个样本应用因子分析进行二分。基于样本大小,通过多项式回归对结果进行建模。
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引用次数: 0
Small Area Estimation on Zero-Inflated Data Using Frequentist and Bayesian Approach 基于频率算子和贝叶斯方法的零膨胀数据小面积估计
Q3 Mathematics Pub Date : 2020-02-26 DOI: 10.22237/jmasm/1582727606
K. Sadik, R. Anisa, Euis Aqmaliyah
The most commonly used method of small area estimation (SAE) is the empirical best linear unbiased prediction method based on a linear mixed model. However, it is not appropriate in the case of the zero-inflated target variable with a mixture of zeros and continuously distributed positive values. Therefore, various model-based SAE methods for zero-inflated data are developed, such as the Frequentist approach and the Bayesian approach. Both approaches are compared with the survey regression (SR) method which ignores the presence of zero-inflation in the data. The results show that the two SAE approaches for zero-inflated data are capable to yield more accurate area mean estimates than the SR method.
最常用的小面积估计(SAE)方法是基于线性混合模型的经验最佳线性无偏预测方法。然而,在具有零和连续分布正值的混合的零膨胀目标变量的情况下,这是不合适的。因此,针对零膨胀数据开发了各种基于模型的SAE方法,如Frequencist方法和贝叶斯方法。这两种方法都与调查回归(SR)方法进行了比较,后者忽略了数据中零通货膨胀的存在。结果表明,与SR方法相比,零膨胀数据的两种SAE方法能够产生更准确的面积均值估计。
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引用次数: 0
The Importance of Type I Error Rates When Studying Bias in Monte Carlo Studies in Statistics 统计学中蒙特卡罗研究偏差时一类错误率的重要性
Q3 Mathematics Pub Date : 2020-02-25 DOI: 10.22237/jmasm/1556670360
Michael R. Harwell
Two common outcomes of Monte Carlo studies in statistics are bias and Type I error rate. Several versions of bias statistics exist but all employ arbitrary cutoffs for deciding when bias is ignorable or non-ignorable. This article argues Type I error rates should be used when assessing bias.
统计学中蒙特卡罗研究的两个常见结果是偏倚和I型错误率。存在几种版本的偏差统计,但都采用任意截止值来决定偏差何时可以忽略或不可忽略。本文认为,在评估偏倚时应该使用I型错误率。
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引用次数: 2
Dynamic Conditional Correlation GARCH: A Multivariate Time Series Novel using a Bayesian Approach 动态条件相关GARCH:一种基于贝叶斯方法的多变量时间序列新方法
Q3 Mathematics Pub Date : 2020-02-25 DOI: 10.22237/jmasm/1556669220
Diego Nascimento, C. Xavier, I. Felipe, F. L. Neto
The Dynamic Conditional Correlation GARCH (DCC-GARCH) mutation model is considered using a Monte Carlo approach via Markov chains in the estimation of parameters, time-dependence variation is visually demonstrated. Fifteen indices were analyzed from the main financial markets of developed and developing countries from different continents. The performances of indices are similar, with a joint evolution. Most index returns, especially SPX and NDX, evolve over time with a higher positive correlation.
在参数估计中,考虑了动态条件相关GARCH(DCC-GARCH)变异模型,通过马尔可夫链采用蒙特卡罗方法,直观地展示了时间相关性变化。对来自不同大陆的发达国家和发展中国家的主要金融市场的15个指数进行了分析。指数的表现是相似的,具有共同的演变。大多数指数回报率,尤其是SPX和NDX,随着时间的推移,呈现出更高的正相关性。
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引用次数: 2
Bivariate Analogs of the Wilcoxon–Mann–Whitney Test and the Patel–Hoel Method for Interactions Wilcoxon–Mann–Whitney检验和Patel–Hoel相互作用方法的双变量类似物
Q3 Mathematics Pub Date : 2020-02-20 DOI: 10.22237/jmasm/1556669880
R. Wilcox
A fundamental way of characterizing how two independent compares compare is in terms of the probability that a randomly sampled observation from the first group is less than a randomly sampled observation from the second group. The paper suggests a bivariate analog and investigates methods for computing confidence intervals. An interaction for a two-by-two design is investigated as well.
描述两个独立比较如何比较的一个基本方法是根据第一组随机抽样的观察值小于第二组随机抽样的观察值的概率。本文提出了一种二元模拟,并探讨了计算置信区间的方法。研究了二乘二设计的相互作用。
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引用次数: 1
Regression When There Are Two Covariates: Some Practical Reasons for Considering Quantile Grids 存在两个协变量时的回归:考虑分位数网格的一些实际原因
Q3 Mathematics Pub Date : 2020-02-20 DOI: 10.22237/jmasm/1556670120
R. Wilcox
When dealing with the association between some random variable and two covariates, extensive experience with smoothers indicates that often a linear model poorly reflects the nature of the association. A simple approach via quantile grids that reflects the nature of the association is given. The two main goals are to illustrate this approach can make a practical difference, and to describe R functions for applying it. Included are comments on dealing with more than two covariates.
在处理一些随机变量和两个协变量之间的关联时,平滑器的丰富经验表明,线性模型往往不能很好地反映关联的性质。给出了一种通过分位数网格反映关联性质的简单方法。两个主要目标是说明这种方法可以产生实际的差异,并描述应用它的R函数。其中包括关于处理两个以上协变量的评论。
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引用次数: 1
Assessing the Accuracy of Approximate Confidence Intervals Proposed for the Mean of Poisson Distribution 泊松分布均值近似置信区间的准确性评估
Q3 Mathematics Pub Date : 2020-02-13 DOI: 10.22237/jmasm/1556668800
A. Shirvani, M. Fathizadeh
The Poisson distribution is applied as an appropriate standard model to analyze count data. Because this distribution is known as a discrete distribution, representation of accurate confidence intervals for its distribution mean is extremely difficult. Approximate confidence intervals were presented for the Poisson distribution mean. The purpose of this study is to simultaneously compare several confidence intervals presented, according to the average coverage probability and accurate confidence coefficient and the average confidence interval length criteria.
泊松分布被用作分析计数数据的适当标准模型。由于这种分布被称为离散分布,因此其分布均值的精确置信区间的表示极其困难。给出了泊松分布平均值的近似置信区间。本研究的目的是根据平均覆盖概率和准确置信系数以及平均置信区间长度标准,同时比较所提出的几个置信区间。
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引用次数: 0
Analytical Closed-Form Solution for General Factor with Many Variables 多变量广义因子的解析闭式解
Q3 Mathematics Pub Date : 2020-02-13 DOI: 10.22237/jmasm/1556668980
S. Lipovetsky, Vladimir Manewitsch
The factor analytic triad method of one-factor solution gives the explicit analytical form for a common latent factor built by three variables. The current work considers analytical presentation of a general latent factor constructed in a closed-form solution for multivariate case. The results can be supportive to theoretical description and practical application of latent variable modeling, especially for big data because the analytical closed-form solution is not prone to data dimensionality.
单因子解的因子分析三元法给出了由三个变量构成的共同潜因子的显式分析形式。当前的工作考虑了在多变量情况的闭式解中构造的一般潜在因子的分析表示。研究结果可以支持潜在变量建模的理论描述和实际应用,特别是对于大数据,因为分析闭合形式的解不倾向于数据维度。
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引用次数: 1
Regression Modeling and Prediction by Individual Observations versus Frequency 个体观测与频率的回归建模与预测
Q3 Mathematics Pub Date : 2020-02-13 DOI: 10.22237/jmasm/1556669100
S. Lipovetsky
A regression model built by a dataset could sometimes demonstrate a low quality of fit and poor predictions of individual observations. However, using the frequencies of possible combinations of the predictors and the outcome, the same models with the same parameters may yield a high quality of fit and precise predictions for the frequencies of the outcome occurrence. Linear and logistical regressions are used to make an explicit exposition of the results of regression modeling and prediction.
由数据集建立的回归模型有时可能表现出较低的拟合质量和对个别观察结果的较差预测。然而,使用预测因子和结果可能组合的频率,具有相同参数的相同模型可能产生高质量的拟合和对结果发生频率的精确预测。线性和逻辑回归被用来对回归建模和预测的结果进行明确的阐述。
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引用次数: 2
Organisational models of health services for children and adolescents in out-of-home care: Health technology assessment. 家庭外儿童和青少年保健服务的组织模式:卫生技术评估。
Q3 Mathematics Pub Date : 2020-02-01 Epub Date: 2019-10-13 DOI: 10.1111/apa.15002
Tita Mensah, Anders Hjern, Kickan Håkanson, Pia Johansson, Ann Kristine Jonsson, Titti Mattsson, Sofia Tranaeus, Bo Vinnerljung, Pernilla Östlund, Gunilla Klingberg

Aim: Decades of research confirm that children and adolescents in out-of-home care (foster family, residential care) have much greater health care needs than their peers. A systematic literature review was conducted to evaluate organisational health care models for this vulnerable group.

Methods: A systematic literature search was undertaken of the following databases: Academic Search Elite, CENTRAL, Cochrane Database of Systematic Reviews, Cinahl, DARE, ERIC, HTA, PsycInfo, Psychology and Behavioural Sciences Collection, PubMed, SocIndex. Randomised and non-randomised controlled trials were to be included. Two pairs of reviewers independently assessed abstracts of the identified published papers. Abstracts meeting the inclusion criteria were ordered in full text. Each article was reviewed independently, by pairs of reviewers. A joint assessment was made based on the inclusion criteria and relevance. Cases of disagreement were resolved by consensus discussion.

Results: No study with low or medium risk of bias was identified.

Conclusion: In the absence of studies of acceptable quality, it is not possible to assess the impact of organisational models intended to ensure adequate health and dental care for children and adolescents in out-of-home care. Therefore, well-designed follow-up studies should be conducted following the implementation of such models.

目的:数十年的研究证实,与同龄人相比,接受家庭外照料(寄养家庭、寄宿照料)的儿童和青少年需要更多的医疗保健服务。为评估针对这一弱势群体的组织保健模式,我们进行了一次系统性文献回顾:方法:对以下数据库进行了系统的文献检索:方法:对以下数据库进行了系统性文献检索:Academic Search Elite、CENTRAL、Cochrane Database of Systematic Reviews、Cinahl、DARE、ERIC、HTA、PsycInfo、Psychology and Behavioural Sciences Collection、PubMed、SocIndex。随机和非随机对照试验均应纳入。两对审稿人分别独立评估已发表论文的摘要。符合纳入标准的摘要以全文形式排序。每篇文章都由两对审稿人进行独立评审。根据纳入标准和相关性进行联合评估。如有分歧,则通过讨论达成共识:结果:没有发现存在低度或中度偏倚风险的研究:在缺乏质量可接受的研究的情况下,无法评估旨在确保为家庭外儿童和青少年提供充分的健康和牙科护理的组织模式的影响。因此,在实施此类模式后,应进行精心设计的后续研究。
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引用次数: 0
期刊
Journal of Modern Applied Statistical Methods
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