线性时间序列模型的教程和方法审查:使用R和SPSSS
Jesús F Rosel1, Sara Puchol, Marcel Elipe1
1Faculty of Health Sciences, Universitat Jaume I.
Psychological methods
|November 13, 2025
概括
本指南简化了用于心理学研究的自回归 (AR) 线性模型,解释了它们在SPSS和R中的使用.它强调时间序列数据的实际应用和解释,以避免常见的统计错误.
科学领域:
- 心理学 心理学 心理学
- 行为科学 行为科学
- 量化方法 量化方法
背景情况:
- 自动回归 (AR) 线性模型对于时间序列分析至关重要,但由于复杂性,在行为科学中未得到充分利用.
- 解释自相关性和季节性的概念挑战阻碍了AR模型的采用.
研究的目的:
- 为心理学学生和研究人员简化AR线性模型的实现和解释.
- 将时间序列模型呈现为可访问的线性回归案例,并提供实践示例.
- 提高对残留诊断及其对统计学意义的影响的理解.
主要方法:
- 使用SPSS和R软件进行逐步教程.
- 用真实数据说明AR估计,包括滞后变量作为预测因素.
- 专注于使用数字和统计测试的残留诊断.
- 使用混测试比较多项式和AR模型.
- 提供注释脚本和数据用于复制.
主要成果:
- 展示了序列相关的余量如何导致膨胀的I型错误 (错误阳性).
- 为模型构建,延迟选择和季节性检测提供可视化和决策规则.
- 突出了AR-only模型在心理学研究环境中的实际优势.
结论:
- 随着明确的指导,AR模型可以有效地在心理学研究中实施.
- 准确的残留诊断对于时间序列分析中有效的统计推断至关重要.
- 将统计模型与数据的时间结构和理论假设对齐至关重要.
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