共查询到20条相似文献，搜索用时 109 毫秒
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在非正态总体情况下,参数统计中,连续性随机变量参数的估计与检验问题中,区间估计合适的枢轴量的构造是置信区间的难点,假设检验的有关统计量的分布确定也是解决问题的关键.对这些方面进行研究,某些情况下利用卡方分布分位数可以使问题解决. 相似文献
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李云飞 《内江师范学院学报》2012,27(6):15-17
针对不完全样本观测数据,讨论了一类均匀分布总体参数的区间估计问题．利用样本中位数给出了构造置信区间的一个新枢轴量,推导出了枢轴量的概率密度函数表达式,并且在大样本场合,讨论了总体参数的近似置信区间．该方法不仅适用于不完全数据场合,而且还适用于样本中可能存在异常数据的情形,具有稳健性． 相似文献
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两种连续型随机变量未知参数的区间估计 总被引：1，自引：0，他引：1
区间估计是对总体分布中未知参数进行估计的一种重要方法,对指导实际生产有着重要意义。本文利用枢轴量方法,对指数分布和均匀分布中未知参数的置信区间的求法进行了讨论,对这两类分布中未知参数的区间估计有一定的指导作用。 相似文献
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通过对描述统计量中的偏度和峰度值的应用进行分析,利用不同样本数偏度和峰度值的置信区间,为判断数值资料的分布特征,正确把握选择描述性统计量提供科学的理论依据. 相似文献
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探讨了基于充分统计量的几个重要应用,重点讨论了充分统计量在参数估计中一致最小方差无偏估计和极大似然估计的构造方法及在假设检验中检验函数的构造方法。 相似文献
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以金融时间序列中同积向量的充分改进为对象,分析充分改进的最小二乘估计。在统计量的极限分布非标准时,构造充分改进的最小二乘估计。研究表明,改进的最小二乘估计方法是一种非参数方法,有助于充分的最小二乘估计。 相似文献
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焦建六 《江苏经贸职业技术学院学报》2005,(4):83-85
当两统计量的期望的某些信息和全部离差点为已知时,可以考虑用它们的线性组合进行数值估计。对于主要关注其中一个统计量的期望,而另一个的期望不必假定完全已知的情况,这一方法较之文献中早已熟知的其它方法应用更为广泛。 相似文献
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苗牧 《昆明师范高等专科学校学报》2007,29(4):26-28
Bootstrap方法是上世纪80年代出现和发展起来的一种新型再抽样统计方法，在统计各领域已有广泛应用．把Bootstrap方法应用于置信区间和标准差估计，在某些情况下，使得置信区间和标准差估计得到改进和改善。 相似文献
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本文研究线性模型中几种模型选择统计量的局部影响分析问题，导出了当同时对n个点作微小扰动时的诊断统计量，并和case-deletion方法的结果相比较，用实例加以说明。这种方法克服了覆盖（masking effect)和平衡效应（balanced effect)，具有广泛的应用前景。 相似文献
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Sudipta Roy 《Teaching Statistics》2019,41(1):25-29
The natural experiment proposed in this article extracts three stories from boxes of “100 paper clips”. The activity requires students to apply three lessons from inferential statistics, starting with a hypothesis test and including confidence intervals as well as tolerance intervals. 相似文献
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Introductory statistics texts give extensive coverage to two‐sided inferences in hypothesis testing, interval estimation, and one‐sided hypothesis tests. Very few discuss the possibility of one‐sided interval estimation at all. Even fewer do so in any detail. Two of the business statistics texts we reviewed mentioned the possibility of dividing the risk of a type I error unequally between the tails for a two‐sided confidence interval. None of the textbooks that were reviewed even considered the possibility of unequal tails for two‐sided hypothesis tests. In this paper, we propose that statistics courses and texts should cover both one‐sided tests and confidence intervals. Furthermore, we propose that coverage, at least in two semesters and advanced courses, should also be given to unequal division of the nominal risk of a type I error for both tests and confidence intervals. Examples are provided for both situations. 相似文献
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Paul T. von Hippel 《Structural equation modeling》2016,23(3):422-437
When analyzing incomplete data, is it better to use multiple imputation (MI) or full information maximum likelihood (ML)? In large samples ML is clearly better, but in small samples ML’s usefulness has been limited because ML commonly uses normal test statistics and confidence intervals that require large samples. We propose small-sample t-based ML confidence intervals that have good coverage and are shorter than t-based confidence intervals under MI. We also show that ML point estimates are less biased and more efficient than MI point estimates in small samples of bivariate normal data. With our new confidence intervals, ML should be preferred over MI, even in small samples, whenever both options are available. 相似文献
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变异系数的统计推断及其应用 总被引：4，自引：0，他引：4
变异系数是反映总体离散程度的重要指标。应用delta方法研究了样本变异系数的渐近分布,进一步构造了其置信区间及检验统计量,并用Monte Carlo方法给出了置信区间的模拟覆盖概率和检验的模拟功效,最后分析了一组实际考试成绩。 相似文献
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Jeffrey S. Rosenthal 《Teaching Statistics》2018,40(1):7-11
This article advocates that introductory statistics be taught by basing all calculations on a single simple margin‐of‐error formula and deriving all of the standard introductory statistical concepts (confidence intervals, significance tests, comparisons of means and proportions, etc) from that one formula. It is argued that this approach will better emphasize the core concepts and commonality of statistics and range of statistical applications, without forcing the students to memorize lots of different equations. 相似文献
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Carl F. Falk 《Structural equation modeling》2018,25(2):244-266
When the multivariate normality assumption is violated in structural equation modeling, a leading remedy involves estimation via normal theory maximum likelihood with robust corrections to standard errors. We propose that this approach might not be best for forming confidence intervals for quantities with sampling distributions that are slow to approach normality, or for functions of model parameters. We implement and study a robust analog to likelihood-based confidence intervals based on inverting the robust chi-square difference test of Satorra (2000). We compare robust standard errors and the robust likelihood-based approach versus resampling methods in confirmatory factor analysis (Studies 1 & 2) and mediation analysis models (Study 3) for both single parameters and functions of model parameters, and under a variety of nonnormal data generation conditions. The percentile bootstrap emerged as the method with the best calibrated coverage rates and should be preferred if resampling is possible, followed by the robust likelihood-based approach. 相似文献
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本文针对调查问卷的11个重点问题进行了量化的数字统计和重点分析。目前高校马克思主义社团建设取得了突出成绩，主要表现在成立较早、总体数量较多、活动时间有保障、有专门指导教师等方面，但是也存在一定问题，如管理问题、经费不足、实践活动不够、指导教师构成单一等，笔者针对以上存在的问题进行了深入思考，进而探讨了相对应的解决途径和措施。 相似文献
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Bruce Thompson 《Psychology in the schools》2007,44(5):423-432
The present article provides a primer on (a) effect sizes, (b) confidence intervals, and (c) confidence intervals for effect sizes. Additionally, various admonitions for reformed statistical practice are presented. For example, a very important implication of the realization that there are dozens of effect size statistics is that authors must explicitly tell readers what effect sizes they are reporting. With respect to confidence intervals, when interpreting a 95% interval, we should never say that we are 95% confident that our interval captures the estimated population parameter. It is explained that effect sizes should be reported even for statistically nonsignificant effects. And, most importantly of all, it is emphasized that effect sizes should not be interpreted using Cohen's benchmarks. Instead, we ought to interpret our effects in direct and explicit comparison against the effects in the related prior literature. © 2007 Wiley Periodicals, Inc. Psychol Schs 44: 423–432, 2007. 相似文献
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This article is concerned with the difference in noncentrality parameters of nested structural equation models and their utility in evaluating statistical power associated with the pertinent restriction test. Based on the seminal work by Browne and Du Toit (1992), Steiger (1989, 1990), Steiger and Lind (1980), and Steiger, Shapiro, and Browne (1985), asymptotic confidence intervals for that difference are discussed. The intervals represent a useful adjunct to widely employed goodness‐of‐fit indexes and test statistics when assessing plausibility of constraints in nested models. The approach also permits estimating power of the test of validity of the nesting restrictions (cf. MacCallum, Browne, & Sugawara, 1996). It is illustrated on data from a 2‐group cognitive training study. 相似文献