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The Comparison Between Maximum Weighted and Trimmed Likelihood Estimator of the Simple Circular Regression Model 简单圆回归模型的最大加权似然估计与修剪似然估计的比较
Q3 Mathematics Pub Date : 2020-07-24 DOI: 10.22237/jmasm/1604188920
Ehab A. Mahmood, H. Midi, A. G. Hussin
The Maximum Likelihood Estimator (MLE) was used to estimate unknown parameters of the simple circular regression model. However, it is very sensitive to outliers in data set. A robust method to estimate model parameters is proposed.
利用极大似然估计器(MLE)对简单循环回归模型的未知参数进行估计。然而,它对数据集中的异常值非常敏感。提出了一种鲁棒估计模型参数的方法。
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引用次数: 0
The Logic Model, Participatory Evaluation and Out Of School Art Programs 逻辑模型、参与式评价与校外艺术活动
Q3 Mathematics Pub Date : 2020-07-21 DOI: 10.22237/JMASM/1604190540
Kimberly Kleinhans
The logic model and participatory evaluation are two popular methods of conducting program evaluation. Although both methods have their strengths, each has distinct weaknesses which can be ameliorated by combining them both together. The combined method is used to evaluate an out of school art program at a museum. Using both the logic model and participatory evaluation yielded beneficial results with more accurate representation of program outcomes
逻辑模型法和参与式评价法是进行项目评价的两种常用方法。虽然这两种方法都有各自的优点,但每一种方法都有明显的缺点,可以通过将它们结合在一起来改善。该综合方法被用于评估博物馆的校外艺术项目。同时使用逻辑模型和参与式评估产生了有益的结果,更准确地表示了项目结果
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引用次数: 0
A Generalized Family of Lifetime Distributions and Survival Models 寿命分布和生存模型的广义族
Q3 Mathematics Pub Date : 2020-07-17 DOI: 10.22237/jmasm/1604190060
Mahmoud Aldeni, F. Famoye, Carl Lee
In lifetime data, the hazard function is a common technique for describing the characteristics of lifetime distribution. Monotone increasing or decreasing, and unimodal are relatively simple hazard function shapes, which can be modeled by many parametric lifetime distributions. However, fewer distributions are capable of modeling diverse and more complicated shapes such as N-shaped, reflected N-shaped, W-shaped, and M-shaped hazard rate functions. A generalized family of lifetime distributions, the uniform-R{generalized lambda} (U-R{GL}) are introduced and the corresponding survival models are derived, and applied to two lifetime data sets. The survival model is applied to a right censored lifetime data set.
在寿命数据中,危险函数是描述寿命分布特征的常用技术。单调递增或递减和单峰是相对简单的危险函数形状,可以用许多参数寿命分布来建模。然而,较少的分布能够建模多样化和更复杂的形状,如n型,反射n型,w型和m型风险率函数。引入了一类广义的寿命分布,即uniform-R{generalized lambda} (U-R{GL}),推导了相应的生存模型,并将其应用于两个寿命数据集。将生存模型应用于右截尾寿命数据集。
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引用次数: 1
A Revised Logic Model for Educational Program Evaluation 一个修正的教育计划评估逻辑模型
Q3 Mathematics Pub Date : 2020-07-17 DOI: 10.22237/jmasm/1604190300
Z. Booker
The logic model is an evaluation tool popularly used for obtaining grant funding. Its limitations make it unlike other theory driven evaluation methods. A critical examination of the logic model leads to the construction of an enriched revised logic model.
逻辑模型是一种普遍用于获得赠款的评估工具。它的局限性使它不同于其他理论驱动的评估方法。对逻辑模型的批判性检验导致了丰富的修正逻辑模型的构建。
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引用次数: 0
Empirical Comparison of Tests for One-Factor ANOVA Under Heterogeneity and Non-Normality: A Monte Carlo Study 单因素方差分析在异质性和非正态性下的实证比较:蒙特卡罗研究
Q3 Mathematics Pub Date : 2020-07-17 DOI: 10.22237/jmasm/1604190000
Diep T. Nguyen, Eunsook Kim, Yan Wang, Thanh Pham, Yi-Hsin Chen, J. Kromrey
Although the Analysis of Variance (ANOVA) F test is one of the most popular statistical tools to compare group means, it is sensitive to violations of the homogeneity of variance (HOV) assumption. This simulation study examines the performance of thirteen tests in one-factor ANOVA models in terms of their Type I error rate and statistical power under numerous (82,080) conditions. The results show that when HOV was satisfied, the ANOVA F or the Brown-Forsythe test outperformed the other methods in terms of both Type I error control and statistical power even under non-normality. When HOV was violated, the Structured Means Modeling (SMM) with Bartlett or SMM with Maximum Likelihood was strongly recommended for the omnibus test of group mean equality.
虽然方差分析(ANOVA) F检验是比较组均值最常用的统计工具之一,但它对违反方差齐性(HOV)假设很敏感。本模拟研究检验了单因素ANOVA模型中13个测试在众多(82,080)条件下的I型错误率和统计功率的性能。结果表明,在满足HOV的条件下,Brown-Forsythe检验的ANOVA在I型误差控制和非正态性下的统计能力方面都优于其他方法。当不符合HOV时,强烈建议采用Bartlett的结构化均值模型(SMM)或最大似然的结构化均值模型(SMM)进行组均值相等性的综合检验。
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引用次数: 3
Bayesian Analysis of Extended Cox Model with Time-Varying Covariates Using Bootstrap Prior 基于Bootstrap先验的时变协变量扩展Cox模型的贝叶斯分析
Q3 Mathematics Pub Date : 2020-07-17 DOI: 10.22237/jmasm/1604188980
O. Olaniran, M. A. A. Abdullah
A new Bayesian estimation procedure for extended cox model with time varying covariate was presented. The prior was determined using bootstrapping technique within the framework of parametric empirical Bayes. The efficiency of the proposed method was observed using Monte Carlo simulation of extended Cox model with time varying covariates under varying scenarios. Validity of the proposed method was also ascertained using real life data set of Stanford heart transplant. Comparison of the proposed method with its competitor established appreciable supremacy of the method.
提出了一种具有时变协变量的扩展cox模型的贝叶斯估计方法。在参数经验贝叶斯框架内,利用自举技术确定先验。通过蒙特卡罗模拟具有时变协变量的扩展Cox模型,观察了该方法在不同场景下的有效性。用斯坦福心脏移植的真实数据集验证了该方法的有效性。将所提出的方法与其竞争对手进行比较,确定了该方法明显的优越性。
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引用次数: 9
Regression: Determining Which of p Independent Variables Has the Largest or Smallest Correlation with the Dependent Variable, Plus Results on Ordering the Correlations Winsorized 回归:确定p个自变量中哪一个与因变量的相关性最大或最小,加上对相关性排序的结果Winsorized
Q3 Mathematics Pub Date : 2020-07-17 DOI: 10.22237/jmasm/1604190840
R. Wilcox
In a regression context, consider p independent variables and a single dependent variable. The paper addresses two goals. The first is to determine the extent it is reasonable to make a decision about whether the largest estimate of the Winsorized correlations corresponds to the independent variable that has the largest population Winsorized correlation. The second is to determine the extent it is reasonable to decide that the order of the estimates of the Winsorized correlations correctly reflects the true ordering. Both goals are addressed by testing relevant hypotheses. Results in Wilcox (in press) suggest using a multiple comparisons procedure designed specifically for the situations just described, but execution time can be quite high. A modified method for dealing with this issue is proposed.
在回归上下文中,考虑p个自变量和一个因变量。该文件涉及两个目标。第一个是确定关于Winsorized相关性的最大估计是否对应于具有最大总体Winsoriized相关性的自变量的决策的合理程度。第二是确定合理的程度,以确定Winsorized相关性的估计的顺序正确地反映真实的顺序。这两个目标都是通过测试相关假设来实现的。Wilcox的结果(出版中)建议使用专门针对刚才描述的情况设计的多重比较程序,但执行时间可能相当长。提出了一种处理这一问题的改进方法。
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引用次数: 1
Identifying Which of J Independent Binomial Distributions Has the Largest Probability of Success 确定J个独立二项分布中哪一个成功概率最大
Q3 Mathematics Pub Date : 2020-07-17 DOI: 10.22237/jmasm/1604190960
R. Wilcox
Let p1,…, pJ denote the probability of a success for J independent random variables having a binomial distribution and let p(1) ≤ … ≤ p(J) denote these probabilities written in ascending order. The goal is to make a decision about which group has the largest probability of a success, p(J). Let p̂1,…, p̂J denote estimates of p1,…,pJ, respectively. The strategy is to test J − 1 hypotheses comparing the group with the largest estimate to each of the J − 1 remaining groups. For each of these J − 1 hypotheses that are rejected, decide that the group corresponding to the largest estimate has the larger probability of success. This approach has a power advantage over simply performing all pairwise comparisons. However, the more obvious methods for controlling the probability of one more Type I errors perform poorly for the situation at hand. A method for dealing with this is described and illustrated.
设p1,…,pJ表示具有二项分布的J个独立随机变量成功的概率,设p(1)≤…≤p(J)按升序表示这些概率。目标是决定哪一组成功的概率最大,p(J)。设p∈1,…,p∈J分别表示p1,…,pJ的估计。该策略是测试J−1个假设,将剩余J−1个组中估计值最大的组进行比较。对于这J−1个被拒绝的假设中的每一个,决定最大估计值对应的组具有更大的成功概率。与简单地执行所有两两比较相比,这种方法具有强大的优势。然而,对于当前的情况,用于控制再出现一个类型I错误的概率的更明显的方法表现得很差。本文描述并说明了一种处理这种情况的方法。
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引用次数: 1
Forward and Backward Continuation Ratio Models for Ordinal Response Variables 序响应变量的前向和后向连续比率模型
Q3 Mathematics Pub Date : 2020-07-17 DOI: 10.22237/jmasm/1604190180
Xing Liu, Haiyan Bai
There are different types of continuation ratio (CR) models for ordinal response variables. The different model equations, corresponding parameterizations, and nonequivalent results are confusing. The purpose of this study is to introduce different types of forward and backward CR models, demonstrate how to implement these models using Stata, and compare the results using data from the Educational Longitudinal Study of 2002 (ELS:2002).
顺序反应变量有不同类型的连续比(CR)模型。不同的模型方程、相应的参数化和不等价的结果令人困惑。本研究的目的是介绍不同类型的正向和反向CR模型,演示如何使用Stata实现这些模型,并使用2002年教育纵向研究(ELS:2002)的数据对结果进行比较。
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引用次数: 5
JMASM 53: MicceriRD JMASM 53:MicceriRD
Q3 Mathematics Pub Date : 2020-07-17 DOI: 10.22237/jmasm/1604190720
M. Lance
Fortran 77 and 90 modules (REALPOPS.lib) exist for invoking the 8 distributions estimated by Micceri (1989). These respective modules were created by Sawilowsky et al. (1990) and Sawilowsky and Fahoome (2003). The MicceriRD (Micceri’s Real Distributions) Python package was created because Python is increasingly used for data analysis and, in some cases, Monte Carlo simulations.
Fortran 77和90模块(REALPOPS.lib)用于调用Micceri(1989)估计的8个分布。这些模块分别由Sawilowsky等人创建。(1990)和Sawilowski和Fahoome(2003)。创建MicceriRD(Micceri's Real Distributions)Python包是因为Python越来越多地用于数据分析,在某些情况下还用于蒙特卡洛模拟。
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引用次数: 0
期刊
Journal of Modern Applied Statistical Methods
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