在不平衡设计的多层潜增长模型中评估适应性指数:蒙特卡洛研究
1School of Education Science, Huizhou University, Huizhou, China.
Frontiers in psychology
|May 20, 2024
概括
研究人员可以信任CFI和TFI相关的适合指数来评估不平衡设计中的多层次潜增长模型 (MLGM). 由于性能变化,其他指数如RMSEA,SRMR和chi-square应谨慎使用.
科学领域:
- 统计 统计 统计 统计
- 心理测量 心理测量 心理测量
- 量化心理学 量化心理学
背景情况:
- 多层次潜增长模型 (MLGMs) 在应用研究中越来越多地使用.
- 评估模型适合于MLGMs,特别是不平衡的设计,提出了挑战.
- 在这些情况下,各种模型合适指数的表现尚未完全理解.
研究的目的:
- 评估在不平衡数据的MLGM中特定水平和特定目标的模型适应指数的性能.
- 为选择适当的合适指数提供指导,以评估MLGM模型的合适性.
- 为研究人员提供不同适应指数在不同模拟条件下的可靠性信息.
主要方法:
- 从正确指定的MLGM生成模拟数据集.
- 设计因素包括不同数量的组 (50,100,200) 和不平衡的组大小 (例如,5/15,10/20,25/75).
- 用描述性统计和ANOVA分析来评估适合指数的表现和设计因素的影响.
主要成果:
- 与CFI和TFI相关的适合性指数表明,在设计不平衡的MLGM中,其性能可靠.
- 与RMSEA相关的,与SRMR相关的和与基平方相关的适应指数显示出基于模拟因素的相当大的差异.
- 合适指数的选择对评估MLGM模型的合适性有重大影响.
结论:
- 建议使用CFI和TFI相关的指数来评估MLGM模型在与研究条件相似的条件下是否合适.
- 考虑到研究结果,研究人员在使用RMSEA,SRMR和MLGMs的chi-square适合指数时应谨慎使用.
- 这项研究为多层次建模中准确的模型评估提供了关键的见解.
相关概念视频
Comparing the Survival Analysis of Two or More Groups
177
Survival analysis is a cornerstone of medical research, used to evaluate the time until an event of interest occurs, such as death, disease recurrence, or recovery. Unlike standard statistical methods, survival analysis is particularly adept at handling censored data—instances where the event has not occurred for some participants by the end of the study or remains unobserved. To address these unique challenges, specialized techniques like the Kaplan-Meier estimator, log-rank test, and...
177
Goodness-of-Fit Test
3.3K
The goodness-of-fit test is a type of hypothesis test which determines whether the data "fits" a particular distribution. For example, one may suspect that some anonymous data may fit a binomial distribution. A chi-square test (meaning the distribution for the hypothesis test is chi-square) can be used to determine if there is a fit. The null and alternative hypotheses may be written in sentences or stated as equations or inequalities. The test statistic for a goodness-of-fit test is given as...
3.3K
Friedman Two-way Analysis of Variance by Ranks
186
Friedman's Two-Way Analysis of Variance by Ranks is a nonparametric test designed to identify differences across multiple test attempts when traditional assumptions of normality and equal variances do not apply. Unlike conventional ANOVA, which requires normally distributed data with equal variances, Friedman's test is ideal for ordinal or non-normally distributed data, making it particularly useful for analyzing dependent samples, such as matched subjects over time or repeated measures...
186
Statistical Methods to Analyze Parametric Data: Student t-Test and Goodness-of-Fit Test
1.6K
In parametric statistics, two fundamental tests stand out for their utility and wide application: the Student's t-test and goodness-of-fit tests. These tests provide researchers with a robust method for drawing insights from data, testing hypotheses, and making informed decisions based on their findings.
The Student's t-test is a statistical test that examines if there is a statistically significant difference between the means of two groups. This test is instrumental when dealing with...
The Student's t-test is a statistical test that examines if there is a statistically significant difference between the means of two groups. This test is instrumental when dealing with...
1.6K
Parametric Survival Analysis: Weibull and Exponential Methods
418
Parametric survival analysis models survival data by assuming a specific probability distribution for the time until an event occurs. The Weibull and exponential distributions are two of the most commonly used methods in this context, due to their versatility and relatively straightforward application.
Weibull Distribution
The Weibull distribution is a flexible model used in parametric survival analysis. It can handle both increasing and decreasing hazard rates, depending on its shape parameter...
Weibull Distribution
The Weibull distribution is a flexible model used in parametric survival analysis. It can handle both increasing and decreasing hazard rates, depending on its shape parameter...
418
Expected Frequencies in Goodness-of-Fit Tests
2.5K
A goodness-of-fit test is conducted to determine whether the observed frequency values are statistically similar to the frequencies expected for the dataset. Suppose the expected frequencies for a dataset are equal such as when predicting the frequency of any number appearing when casting a die. In that case, the expected frequency is the ratio of the total number of observations (n) to the number of categories (k).
2.5K


