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Structural equation model examining students' prior mathematics/statistics experiences and self-perception regarding graduate-level statistics coursework: A methodological investigation.

机译:结构方程模型检查学生对研究生水平统计学课程工作的先验数学/统计学经验和自我认知:一种方法学调查。

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摘要

The intention of the present investigation was to demonstrate the causal link between Prior Mathematics/Statistics Experiences and Statistics Self-Perception, using structural equation modeling techniques. This was accomplished by first establishing the discriminant validity of three theoretical constructs, Statistics-Related Self-Efficacy, Statistics-Related Attitudes, and Statistics-Related Anxiety, while also demonstrating that these three factors were significantly related, consistent with prior research.; Since these factors were indeed significantly related, the third-order factor, Statistics Self-Perception, which effectively accounts for the variance shared between the three lower-order factors, was introduced into the model. Although third-order factor structures are theoretically supported in the literature, existing research has been limited to second-order structures.; The number of observed items in the third-order factor model was reduced in an effort to arrive at a model that is more parsimonious, while also measurement invariant and structurally invariant relative to the original model. Item reduction has been attempted in previous research using SEM approaches, however these studies do not present clear evidence that model changes resulted in models that were measurement invariant while maintaining the integrity of the structural model.; The resultant model was used to demonstrate the link between Prior Mathematics/Statistics Experiences and Statistics Self-Perception, as well as the link between Prior Mathematics/Statistics Experiences and the primary factors in this study. Prior research has suggested that a Prior Mathematics/Statistics Experiences is related to the primary factors of Statistics Self-Perception; however, this has not been demonstrated with causal modeling.; Finally, the present investigation demonstrated the benefit of latent factor scores produced in structural modeling. Unlike factor scores produced in factor analysis, latent variables scores computed from a structural model are unbiased estimates, and therefore are error free estimates. Post-modeling, these factor scores provide more accurate data with which to examine the effect of variables, such as participants' gender, age, ethnicity, department, GPA, expected GPA, degree being sought, number of prior college-level mathematics/statistics classes, and hours towards degree on the primary factors used in this investigation. This innovative use of factor scores provided greater flexibility with data produced from structural modeling, not seen in prior research.
机译:本研究的目的是使用结构方程建模技术来证明先验数学/统计经验与统计自我感知之间的因果关系。通过首先确定三个理论结构的判别效度,即统计学相关的自我效能感,统计学相关的态度和统计学相关的焦虑,并同时证明这三个因素之间存在显着相关性,这与先前的研究一致来实现。由于这些因素确实存在显着相关性,因此将三阶因素“统计自我感知”有效地解释了三个低阶因素之间共享的方差,并引入了模型。尽管文献中理论上支持三阶因子结构,但现有研究仅限于二阶结构。减少了三阶因子模型中的观测项数量,以期获得一个更加简约的模型,同时相对于原始模型,其度量和结构不变。在先前的研究中,已经尝试使用SEM方法来减少项目,但是这些研究并没有提供明确的证据表明模型的改变会导致模型在保持结构模型完整性的同时保持测量不变。结果模型用于说明先验数学/统计经验与统计自我感知之间的联系,以及先验数学/统计经验与本研究中主要因素之间的联系。先前的研究表明,先前的数学/统计经验与统计学自我认知的主要因素有关;但是,因果模型尚未证明这一点。最后,本研究证明了在结构建模中产生潜在因子评分的好处。与因子分析中产生的因子得分不同,从结构模型计算出的潜在变量得分是无偏估计,因此是无误差的估计。建模后,这些因子得分提供了更准确的数据,可用来检验变量的影响,例如参与者的性别,年龄,种族,部门,GPA,期望的GPA,所寻求的学位,大学之前的数学/统计数字班级和学习时数取决于本次调查中使用的主要因素。因子得分的这种创新用法为结构建模产生的数据提供了更大的灵活性,这在先前的研究中是看不到的。

著录项

  • 作者

    Larwin, Karen.;

  • 作者单位

    Kent State University.;

  • 授予单位 Kent State University.;
  • 学科 Education Mathematics.; Statistics.; Education Educational Psychology.
  • 学位 Ph.D.
  • 年度 2007
  • 页码 242 p.
  • 总页数 242
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 统计学;教育心理学;
  • 关键词

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