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Analysis of College Students’ Test Scores Based on Two-Component Mixed Generalized Normal Distribution
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作者 Luliang Wen Haiwu Rong Yanjun Qiu 《Journal of Data Analysis and Information Processing》 2023年第1期69-80,共12页
In order to improve the fitting accuracy of college students’ test scores, this paper proposes two-component mixed generalized normal distribution, uses maximum likelihood estimation method and Expectation Conditiona... In order to improve the fitting accuracy of college students’ test scores, this paper proposes two-component mixed generalized normal distribution, uses maximum likelihood estimation method and Expectation Conditional Maxinnization (ECM) algorithm to estimate parameters and conduct numerical simulation, and performs fitting analysis on the test scores of Linear Algebra and Advanced Mathematics of F University. The empirical results show that the two-component mixed generalized normal distribution is better than the commonly used two-component mixed normal distribution in fitting college students’ test data, and has good application value. 展开更多
关键词 Two-Component Mixed Generalized Normal Distribution Two-Component Mixed Normal Distribution ECM Algorithm test scores
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Test Score or Student Progress?A Value-Added Evaluation of School Effectiveness in Urban China 被引量:2
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作者 Pai PENG Jan HOCHWEBER Eckhard KLIEME 《Frontiers of Education in China》 2013年第3期360-377,共18页
Outcome-oriented evaluation of school effectiveness is often based on student test scores in certain critical examinations.This study provides another method of evaluation-value-added-which is based on student achieve... Outcome-oriented evaluation of school effectiveness is often based on student test scores in certain critical examinations.This study provides another method of evaluation-value-added-which is based on student achievement progress.This paper introduces the method of estimating the value-added score of schools in multi-level models.Based on longitudinal student achievement data,two measures of school effectiveness in one local education authority in China are compared.It is found that the between-school difference in both test-score and value-added is large comparable with that of Western countries.The results of the two measures of school effectiveness are highly different.The value-added measures lack consistency across different subject areas within schools while the test score measures are highly correlated between subjects.Teachers show their preference for value-added measures over test-score measures of education quality.It is suggested that value-added measures of school effectiveness should be used as a complement to rather than a substitute for test-score measures.The shortcomings of value-added approach are also discussed. 展开更多
关键词 VALUE-ADDED test score school effectiveness school evaluation
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Small Class Size Boosts Test Scores Later
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作者 王兴法 《当代外语研究》 2001年第6期5-6,共2页
Smaller class sizes in early grades translated into students scoring higher on math tests in later grades in Tennessee’s experiment to see if smaller classes improved education, a study said on Friday. 低年级的小型... Smaller class sizes in early grades translated into students scoring higher on math tests in later grades in Tennessee’s experiment to see if smaller classes improved education, a study said on Friday. 低年级的小型班级能够使学生在高年级时获得数学测试的高分。田纳西州的一项旨在了解小型班级是否能够改进教育的实验得出如此结论。一项研究周五如是说。 展开更多
关键词 田纳西州 Small Class Size Boosts test scores Later
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MAXIMUM TEST FOR A SEQUENCE OF QUADRATIC FORM STATISTICS ABOUT SCORE TEST IN LOGISTIC REGRESSION MODEL 被引量:1
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作者 Qing YANG Jiayan ZHU Zhengbang LI 《Acta Mathematica Scientia》 SCIE CSCD 2020年第2期543-556,共14页
This article proposes the maximum test for a sequence of quadratic form statistics about score test in logistic regression model which can be applied to genetic and medicine fields.Theoretical properties about the max... This article proposes the maximum test for a sequence of quadratic form statistics about score test in logistic regression model which can be applied to genetic and medicine fields.Theoretical properties about the maximum test are derived.Extensive simulation studies are conducted to testify powers robustness of the maximum test compared to other two existed test.We also apply the maximum test to a real dataset about multiple gene variables association analysis. 展开更多
关键词 Maximum test quadratic form statistics score test asymptotic statistical property
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Assessment of cardiovascular risk in diabetes:Risk scores and provocative testing
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作者 Teresa Lam Kharis Burns +2 位作者 Mark Dennis N Wah Cheung Jenny E Gunton 《World Journal of Diabetes》 SCIE CAS 2015年第4期634-641,共8页
Cardiovascular disease(CVD) is the leading cause of morbidity and mortality among patients with diabetes mellitus,who have a risk of cardiovascular mortality two to four times that of people without diabetes.An indivi... Cardiovascular disease(CVD) is the leading cause of morbidity and mortality among patients with diabetes mellitus,who have a risk of cardiovascular mortality two to four times that of people without diabetes.An individualised approach to cardiovascular risk estimation and management is needed.Over the past decades,many risk scores have been developed to predict CVD.However,few have been externally validated in a diabetic population and limited studies have examined the impact of applying a prediction model in clinical practice.Currently,guidelines are focused on testing for CVD in symptomatic patients.Atypical symptoms or silent ischemia are more common in the diabetic population,and with additional markers of vascular disease such as erectile dysfunction and autonomic neuropathy,these guidelines can be difficult to interpret.We propose an algorithm incorporating cardiovascular risk scores in combination with typical and atypical signs and symptoms to alert clinicians to consider further investigation with provocative testing.The modalities for investigation of CVD are discussed. 展开更多
关键词 DIABETES Cardiovascular RISK RISK scoreS Provocative testing SILENT ISCHAEMIA ATYPICAL symptoms
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Rating Score Data Analysis by Classical Test Theory and Many-Facet Rasch Model
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作者 Tsai-Wei Huang Gwo-Jen Guo +1 位作者 William Loadman Fang-Mei Law 《Psychology Research》 2014年第3期222-231,共10页
关键词 h模型 多层面 数据分析 评价 测验 可靠性参数 教育评估 试题难度
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A Gene Score Test for Disease Association with Multiple Genes
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作者 Changchun Xie 《Open Journal of Statistics》 2011年第1期15-18,共4页
The traditional method for creating a gene score to predict a given outcome is to use the most statistically significant single nucleotide polymorphisms (SNPs) from all SNPs which were tested. There are several disadv... The traditional method for creating a gene score to predict a given outcome is to use the most statistically significant single nucleotide polymorphisms (SNPs) from all SNPs which were tested. There are several disadvantages of this approach such as excluding SNPs that do not have strong single effects when tested on their own but do have strong joint effects when tested together with other SNPs. The interpretation of results from the traditional gene score may lack biological insight since the functional unit of interest is often the gene, not the single SNP. In this paper we present a new gene scoring method, which overcomes these problems as it generates a gene score for each gene, and the total gene score for all the genes available. First, we calculate a gene score for each gene and second, we test the association between this gene score and the outcome of interest (i.e. trait). Only the gene scores which are significantly associated with the outcome after multiple testing correction for the number of gene tests (not SNPs) are considered in the total gene score calculation. This method controls false positive results caused by multiple tests within genes and between genes separately, and has the advantage of identifying multi-locus genetic effects, compared with the Bonferroni correction, false discovery rate (FDR), and permutation tests for all SNPs. Another main feature of this method is that we select the SNPs, which have different effects within a gene by using adjustment in multiple regressions and then combine the information from the selected SNPs within a gene to create a gene score. A simulation study has been conducted to evaluate finite sample performance of the proposed method. 展开更多
关键词 GENE score SNP GWAS PERMUTATION GLM Multiple Regression Sum test
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Multiple z-Score Based Method for Noninvasive Prenatal Test Using Cell-Free DNA in Maternal Plasma
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作者 Hyuk Jung Kwon Amit Goyal +14 位作者 Heesu Im Kichan Lee Seon Young Yun Yoon Hee Kim Sungjong Lee Mi-Gyeong Lee Hyuna Lee Reena Garg Boram Park Soyoung Choi Joungsu Joo Jin-Sik Bae Min-Jeong Kim Min Seob Lee Sunghoon Lee 《Open Journal of Genetics》 2017年第1期1-8,共8页
Objective: To improve the detecting accuracy of chromosomal aneuploidy of fetus by non-invasive prenatal testing (NIPT) using next generation sequencing data of pregnant women’s cell-free DNA. Methods: We proposed th... Objective: To improve the detecting accuracy of chromosomal aneuploidy of fetus by non-invasive prenatal testing (NIPT) using next generation sequencing data of pregnant women’s cell-free DNA. Methods: We proposed the multi-Z method which uses 21 z-scores for each autosomal chromosome to detect aneuploidy of the chromosome, while the conventional NIPT method uses only one z-score. To do this, mapped read numbers of a certain chromosome were normalized by those of the other 21 chromosomes. Average and standard deviation (SD), which are used for calculating z-score of each sample, were obtained with normalized values between all autosomal chromosomes of control samples. In this way, multiple z-scores can be calculated for 21 autosomal chromosomes except oneself. Results: Multi-Z method showed 100% sensitivity and specificity for 187 samples sequenced to 3 M reads while the conventional NIPT method showed 95.1% specificity. Similarly, for 216 samples sequenced to 1 M reads, Multi-Z method showed 100% sensitivity and 95.6% specificity and the conventional NIPT method showed a result of 75.1% specificity. Conclusion: Multi-Z method showed higher accuracy and robust results than the conventional method even at low coverage reads. 展开更多
关键词 CELL-FREE DNA Z-score MULTIPLE Thresholds COEFFICIENT of Variance NONINVASIVE PRENATAL testing NIPT
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加权非线性随机系数模型异方差性的Score检验 被引量:5
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作者 林金官 韦博成 《工程数学学报》 CSCD 北大核心 2002年第2期109-115,共7页
在回归分析中 ,随机误差的方差齐性的假设往往有助于问题的解决 ,但方差齐性假设并不总是正确的。在线性和非线性回归中关于异方差的诊断问题已有许多讨论。在韦博成 (1995 )讨论的加权非线性回归模型的基础上 ,用随机系数的方法 ,讨论... 在回归分析中 ,随机误差的方差齐性的假设往往有助于问题的解决 ,但方差齐性假设并不总是正确的。在线性和非线性回归中关于异方差的诊断问题已有许多讨论。在韦博成 (1995 )讨论的加权非线性回归模型的基础上 ,用随机系数的方法 ,讨论加权线性随机系数模型中的异方差检验问题 ,得到了方差齐性检验的Score统计量。 展开更多
关键词 异方差 随机系数 非线性回归 score检验统计量 score函数
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具有线性趋势回归信度模型的随机效应及线性趋势的Score检验 被引量:3
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作者 江南 林金官 顾赛赛 《东南大学学报(自然科学版)》 EI CAS CSCD 北大核心 2009年第6期1292-1297,共6页
讨论了具有线性趋势的回归信度模型的随机效应和线性趋势的Score检验问题.首先分别推导出模型中随机效应存在性和线性趋势显著性这2种检验的Score检验统计量,然后利用Monte-Carlo方法分别模拟了此2种检验统计量的功效.功效模拟结果显示,... 讨论了具有线性趋势的回归信度模型的随机效应和线性趋势的Score检验问题.首先分别推导出模型中随机效应存在性和线性趋势显著性这2种检验的Score检验统计量,然后利用Monte-Carlo方法分别模拟了此2种检验统计量的功效.功效模拟结果显示,2种检验统计量都有很好的检验效果.最后利用所得到的检验方法对旅客意外身体伤害保险数据进行了实例分析,分析结果表明,该数据集的随机效应是存在的,线性趋势也是显著的. 展开更多
关键词 回归信度模型 score检验 功效模拟
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零截尾广义Poisson回归模型及其Score检验(英文) 被引量:2
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作者 赵为华 冯予 李泽安 《华东师范大学学报(自然科学版)》 CAS CSCD 北大核心 2010年第1期17-23,共7页
研究零截尾广义Poisson回归模型,给出了模型的参数估计方法,着重研究检验零截尾Poison回归、零截尾广义Poisson回归以及检验回归系数显著性的score检验统计量,并用一个数值实例来说明方法的有效性.最后通过一个仿真模拟例子来研究score... 研究零截尾广义Poisson回归模型,给出了模型的参数估计方法,着重研究检验零截尾Poison回归、零截尾广义Poisson回归以及检验回归系数显著性的score检验统计量,并用一个数值实例来说明方法的有效性.最后通过一个仿真模拟例子来研究score检验统计量的检验功效. 展开更多
关键词 广义Poisson回归 零截尾 score检验
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一般均值漂移模型的Score检验统计量 被引量:4
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作者 时正华 袁永生 印凡成 《数学杂志》 CSCD 北大核心 2010年第2期283-288,共6页
本文研究了一般均值漂移模型中漂移量的存在性检验问题.利用Score函数和Fisher信息阵,获得了检验的Score统计量.
关键词 非线性回归模型 均值漂移模型 FISHER信息阵 score检验统计量
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具有线性趋势回归信度模型的自相关性的score检验 被引量:2
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作者 江南 林金官 《数理统计与管理》 CSSCI 北大核心 2012年第2期290-295,共6页
回归信度模型在保险研究中具有重要的作用。本文讨论了具有线性趋势回归信度模型自相关性的score检验问题。首先推导出模型中自相关存在性检验的score检验统计量,然后利用Monte-Carlo方法模拟了此种检验统计量的功效。最后利用文中所得... 回归信度模型在保险研究中具有重要的作用。本文讨论了具有线性趋势回归信度模型自相关性的score检验问题。首先推导出模型中自相关存在性检验的score检验统计量,然后利用Monte-Carlo方法模拟了此种检验统计量的功效。最后利用文中所得到的检验方法对旅客意外身体伤害保险数据进行了实例分析。 展开更多
关键词 回归信度模型 自相关性 score检验 功效模拟
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基于重复测量数据的Poisson回归模型的偏大离差的Score检验 被引量:6
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作者 林金官 韦博成 《应用数学》 CSCD 北大核心 2002年第4期18-22,共5页
Poisson回归模型广泛应用于分析计数型数据 ,Dean&Lawless(1989)和Dean(1992 )讨论了非重复测量得到的计数型数据的偏大离差存在性的检验问题 .本文分别利用随机系数模型和对数非线性模型讨论了基于重复测量得到的计数型数据的偏大... Poisson回归模型广泛应用于分析计数型数据 ,Dean&Lawless(1989)和Dean(1992 )讨论了非重复测量得到的计数型数据的偏大离差存在性的检验问题 .本文分别利用随机系数模型和对数非线性模型讨论了基于重复测量得到的计数型数据的偏大离差的检验问题 ,得到了检验的score统计量 . 展开更多
关键词 重复测量数据 Poisson回归模型 偏大离差 score检验
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具有线性趋势回归信度模型异方差的score检验
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作者 江南 林金官 冯翠莲 《纯粹数学与应用数学》 CSCD 2010年第5期858-866,共9页
回归信度模型在保险研究中具有重要的作用.本文分险种内部,险种之间,险种内部及之间三种情形讨论了具有线性趋势回归信度模型异方差的score检验问题.首先推导了异方差存在性检验的score检验统计量,然后利用Monte-Carlo方法模拟了这几种... 回归信度模型在保险研究中具有重要的作用.本文分险种内部,险种之间,险种内部及之间三种情形讨论了具有线性趋势回归信度模型异方差的score检验问题.首先推导了异方差存在性检验的score检验统计量,然后利用Monte-Carlo方法模拟了这几种检验统计量的功效,功效模拟结果显示:这几种检验统计量都有很好的检验效果.最后利用文中所得到的检验方法对旅客意外身体伤害保险数据进行了实例分析。 展开更多
关键词 回归信度模型 异方差 score检验 功效模拟
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含方差扩大的一般均值漂移模型的Score检验统计量
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作者 时正华 袁永生 王启明 《曲阜师范大学学报(自然科学版)》 CAS 2013年第3期19-24,共6页
该文研究了含方差扩大的一般均值漂移模型中漂移量的存在性检验问题.利用Score函数和Fisher信息阵,获得了检验的Score统计量.
关键词 非线性回归模型 均值漂移模型 FISHER信息阵 score检验统计量 方差扩大模型
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Relationship between English Leaming Motivation and SCET-3 Scores of Non-English Major Students in CDSI
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作者 ZHANG Weiying QINXuetao 《International English Education Research》 2017年第1期112-114,共3页
Motivation is considered an important factor for non-English major students in their language learning. In the study, questionnaires and interviews were used to explore the relationship between learning motivations of... Motivation is considered an important factor for non-English major students in their language learning. In the study, questionnaires and interviews were used to explore the relationship between learning motivations of CDSI (Chengdu Sport Institute)'s non-English major students and their test scores in SCET-3 (Sichuan English Test-level 3). The results found that in general non-English major students' motivation is not high with no significant gender differences; their learning motivation shows some correlation with their vocabulary level; their external motivation has more impact on the non-English major students. Therefore, language learning motivation has a positive relation with students' English learning achievement. Considering the characteristics of the non-English major students, suggestions on English teaching methods are made to stimulate students' learning motivation and cultivate their learning strategies, so as to improve the quality of English teaching and students' English level. 展开更多
关键词 non-English major students English learning motivation test scores
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针对零膨胀模型的Score检验及其在自然灾害分析中的应用 被引量:2
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作者 李克春 戴琳 王健 《科学技术与工程》 2011年第33期8277-8281,共5页
为了解释计数数据相对于普通的泊松分布存在过分多零的问题,一类零膨胀泊松混合回归模型被提出来。目前,该类模型已被广泛应用于生物医学、金融保险等研究领域中。而针对计数数据是否存在零膨胀的检验对于模型的选择是至关重要的。针对... 为了解释计数数据相对于普通的泊松分布存在过分多零的问题,一类零膨胀泊松混合回归模型被提出来。目前,该类模型已被广泛应用于生物医学、金融保险等研究领域中。而针对计数数据是否存在零膨胀的检验对于模型的选择是至关重要的。针对零膨胀是否存在的问题,提出了一种Score检验方法,并通过模拟研究考察了其检验统计量在原假设下的抽样分布与经验势,验证了该检验方法的可靠性。在零膨胀存在的情况下,结合数据分解技巧与Gibbs抽样方法对所有参数进行了估计。最后,利用一个关于森林火灾的实例对以上方法进行了进一步说明。 展开更多
关键词 零膨胀 ZIP模型 score检验 森林火灾
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基于Score检验统计的粗差探测法 被引量:4
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作者 崔太岷 郭党伍 +3 位作者 王俊雷 张绍敏 张新建 侯威震 《测绘通报》 CSCD 北大核心 2019年第S1期195-198,共4页
针对观测数据同时含有粗差和系统误差时粗差难以探测的问题,本文将粗差纳入随机模型,提出了一种基于Score检验统计的粗差探测方法。首先构造半参数模型的惩罚极大似然函数,给出了相应的解的表达式。然后构造Score检验统计量,推导出具体... 针对观测数据同时含有粗差和系统误差时粗差难以探测的问题,本文将粗差纳入随机模型,提出了一种基于Score检验统计的粗差探测方法。首先构造半参数模型的惩罚极大似然函数,给出了相应的解的表达式。然后构造Score检验统计量,推导出具体表达式,给出了相应的粗差探测步骤。最后,用一组含有粗差的模拟数据验证了本文算法的有效性。 展开更多
关键词 半参数模型 惩罚极大似然估计 粗差探测 score检验 随机模型
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基于有偏Logistic分布的回归建模及其Score检验 被引量:1
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作者 房钦钦 赵为华 《统计与决策》 CSSCI 北大核心 2018年第5期22-25,共4页
有偏Logistic回归模型是以非对称函数来连接,引进了偏态参数,这比标准Logistic回归模型能够更好地适用于实际数据。文章在总结和探讨有偏Logistic分布函数和密度函数性质的基础上,重点研究了基于该分布的回归建模问题,利用牛顿迭代法得... 有偏Logistic回归模型是以非对称函数来连接,引进了偏态参数,这比标准Logistic回归模型能够更好地适用于实际数据。文章在总结和探讨有偏Logistic分布函数和密度函数性质的基础上,重点研究了基于该分布的回归建模问题,利用牛顿迭代法得到了参数估计算法。为检验解释变量的重要性,基于Score检验方法研究了相关的假设检验问题,并通过模拟研究其检验功效问题。利用AIC和BIC信息准则对四种回归模型进行拟合优度分析。 展开更多
关键词 有偏Logistic分布 牛顿迭代法 score检验
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