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1.
列联表是对分类变量进行独立性检验的有力工具,在历年高考中考查的频率都比较高.从一般的r×s列联表出发,阐明运用列联表进行卡方独立性检验的本质思想,并以2022年高考试题为例,说明2×2列联表和2×3列联表的计算过程.最后从本质出发,推出常用公式,以期加深教师与学生对列联表的理解.  相似文献   

2.
本文讨论二维列联表数据的两种抽样模型,以及相关的齐性和独立性检验问题,说明两种抽样模型的联系,以及齐性及独立性检验的一致性.  相似文献   

3.
文章引入一种关于3—维列联表中对数线性模型的选择方法。该方法是运用一种快速模型选择方法将3—维列联表中所有可能的HLLM模型分成两大类,即接受类和拒绝类。然后运用AIC准则从接受类中挑选出“最佳”模型。  相似文献   

4.
文章引入一种关于3—维列联表中对数线性模型的选择方法。该方法是运用一种快速模型选择方法将3—维列联表中所有可能的HLLM模型分成两大类,即接受类和拒绝类。然后运用AIC准则从接受类中挑选出“最佳”模型。  相似文献   

5.
通过一个四维列联表算例研究了对数线性模型在统计分析中的信息功能.结果表明:对数线性模型可通过拟合优度统计检验发现多维分类变量中存在的统计独立关系;可通过参数估计分别针对列联表的每一个组格回答各个单个变量以及2个、3个、4个变量的各种交互对形成该组格概率的贡献;无法提供变量间统计相依程度强弱的信息.  相似文献   

6.
概率和统计的综合问题是近几年的高考热点问题之一,其中2×2列联表经常出现在独立性检验的问题中.列联表除了能描述两个分类变量分布的频数表,还能描述两个分类变量分布的频率表,而利用表中的频率可以解决一些条件概率与全概率的问题.本文通过2022年新高考I卷的第20题(2)的第(ⅰ)小问来研究列联表这一用途.  相似文献   

7.
3-维列联表中对数线性模型的选择策略   总被引:1,自引:0,他引:1  
文章引入一种关于3-维列联表中对数线性模型的选择方法.该方法是运用一种快速模型选择方法将3-维列联表中所有可能的HLLM模型分成两大类,即接受类和拒绝类.然后运用AIC准则从接受类中挑选出"最佳"模型.  相似文献   

8.
在各个版本最新的高中数学教材中,统计内容的份量均再一次增加,但相应的学法研究、复习辅导并没有随之“升温”.因此,本文就高中概率统计的一个知识点“独立性检验”进行诠释,例谈其在高考备考中的应用.1知识诠释独立性检验是统计学中两种卡方检验之一,高中数学中独立性检验的第一步是依题意完善或作出2×2列联表,如表1所示。  相似文献   

9.
二维列联表是属性数据统计分析中的有用工具,因此,它被各种教育、心理统计的专著和教材所采用。但是,三个或三个以上属性变量的列联表分析,熟知者不多,教育统计的书中对之也不作介绍。多维表在六十年代的迅速发展,使它成为列联表分析中具有广泛应用的方法之一。本文试图结合实例,对三维表在教育统计中的应用作一介绍,希望这个新的统计工具,能够在教育科研中发挥它应有的作用。[例1]表一是无锡市某六所小学各取三、四五年级的一个中等班(共18个班)进行学习兴趣调  相似文献   

10.
第1点独立性检验问题()必做1为了研究男女乘客乘坐飞机时的晕机情况,有关人员在一次飞机航程中采用问卷调查的形式,得到的数据写成如下的2×2列联表,则d=___________.牛刀小试精妙解法这是考查2×2列联表的结构问题,先利用10+b=80,得到b=70;再根据20+b+d=110,得到b+d=90,所以d=20.极速突击首先理解并掌握2×2  相似文献   

11.
A method of analyzing test item responses is advocated to examine differential item functioning through distractor choices of those who answer an item incorrectly. The analysis, called Differential Distractor Functioning, uses log-linear models of a three-way contingency table to examine whether there is an interaction of population subgroup and option choice when ability is held constant. The analysis is explained and is exemplified in an analysis of the Verbal portion of a recent Scholastic Aptitude Test.  相似文献   

12.
This article serves as an introduction to log-linear analysis, a technique used in the analysis of qualitative data arranged in multidimensional contingency tables. The steps involved in log-linear analysis are presented in the context of an investigation of a personality characteristic of a group of counselor trainees. The references cited and supplemental readings allow interested readers to pursue the topic further.  相似文献   

13.
Qualitative data often need analysis using log-linear models, as pointed out by Liu and Sanders. In this article, references to the state-of-the-art literature and software packages for analyzing such data are presented. We also illustrate the two types of log-linear models and present procedures for investigating both types.  相似文献   

14.
Many problems investigated by researchers in higher education involve simple frequency counts and their analysis. Not too infrequently, these frequency counts arise from the cross-classification of a sample of observations on a number of qualitative variables. In this case, the investigator is usually interested in examining the multiplicative interactions among the classification variables. When the number of classification variables exceeds two, however, the investigator is faced with rather severe problems in undertaking his analysis. All too often, the researcher is reduced to breaking up his multidimensional contingency table into smaller, typically two-way tables, and analyzing each separately. This article describes a unified approach, developed by L.A. Goodman, to the analysis of the p-way contingency table which enriches our understanding of the relationships existing among the classification variables. Two examples from research in higher education are used to demonstrate the usefulness of the method.  相似文献   

15.
利用微积分理论建立了储油罐变位前后油位高度与相应体积的理论模型;借助于madab软件,建立了回归模型,较精确的给出了变位前后油位高度与相应体积的关系;通过所建模型给出了罐体变位前后油位高度间隔为0.1m的罐容表标定值和变位后未重新标定的罐容量相对误差。  相似文献   

16.
A noncontingent experience affects the subsequent detection of positive and negative contingencies between the same events. Experiments 1 and 2 showed that such preexposure can produce both an impairment in the detection of subsequent positive contingency and a facilitation of a negative one, independent of the level of contingency during the contingent phase. Experiment 3 raised difficulties for a model that assumes that associations to the context can explain this asymmetrical effect. Experiment 4 suggested that the different weights usually assigned to the different types of trials when computing the contingency between events can change as a result of a noncontingent experience with the same events. This change supports an account of the asymmetrical effect by a belief revision model based on a mechanism that updates the weights of the different trial types as a function of previous experience. More generally, the belief revision model is a statistical (i.e., nonassociative) model of learning that is capable of accounting for trial-order effects, which have long posed problems for statistical models.  相似文献   

17.
A great obstacle for wider use of structural equation modeling (SEM) has been the difficulty in handling categorical variables. Two data sets with known structure between 2 related binary outcomes and 4 independent binary variables were generated. Four SEM strategies and resulting apparent validity were tested: robust maximum likelihood (ML), tetrachoric correlation matrix input followed by SEM ML analysis, SEM ML estimation for the sum of squares and cross-products (SSCP) matrix input obtained by the log-linear model that treated all variables as dependent, and asymptotic distribution-free (ADF) SEM estimation. SEM based on the SSCP matrix obtained by the log-linear model and SEM using robust ML estimation correctly identified the structural relation between the variables. SEM using ADF added an extra parameter. SEM based on tetrachoric correlation input did not specify the data generating process correctly. Apparent validity was similar for all models presented. Data transformation used in log-linear modeling can serve as an input for SEM.  相似文献   

18.
介绍了美国伊利诺伊大学电气及计算机工程系开发的Power World电力系统仿真可视化软件包。Power World能可直观形象地显示电力系统的运行情况。用户可以建立、更改各种电力系统模型及参数,用鼠标点击图标或菜单在仿真器中进行各种操作,从而对模型进行潮流分析、故障分析、及经济运行分析等。在继电保护实验教学中运用Power World中以已有的IEEE14母线模型建立电力系统仿真实例,测量输电线路故障阻抗,计算出故障发生点,通过测量出的故障阻抗曲线与已知的阻抗值比较,阐明距离保护的概念,从而证实Power World算例模型的准确性以及软件在继电保护实验教学方面的辅助功能。  相似文献   

19.
This study compares five cognitive diagnostic models in search of optimal one(s) for English as a Second Language grammar test data. Using a unified modeling framework that can represent specific models with proper constraints, the article first fit the full model (the log-linear cognitive diagnostic model, LCDM) and investigated which model emerged as the dominant model. It then fit the dominant model and the other models to confirm that the model provides the best fit to the data. The model found to represent the most number of items in the test was the Compensatory Reparameterized Unified Model (C-RUM) and other models compared were the Deterministic-Input, Noisy-And (DINA), Deterministic Input, Noisy-Or-gate (DINO), and Noisy Input, Deterministic-Or-gate (NIDO). The absolute (item-association root mean square error values) and relative (information criteria) model fit indices also indicated that the LCDM and the C-RUM were the best fit to the data. More detailed analyses on the functioning of the C-RUM were conducted and the interpretation of the results was included in the discussion section. The article ends with some suggestions for future research based on the limitations of the study.  相似文献   

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