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Longitudinal Data Analysis

Part of the SpringerBriefs in Statistics Book Series

DOI: 10.1007/978-981-10-0077-5

ISBN: 978-981-10-0076-8

Publisher: Springer Singapore - Springer Journals

Feb 5, 2019

Available

Longitudinal Data and Linear Mixed Effects Models

Funatogawa, Ikuko; Funatogawa, Takashi

Pages: 1 –26

[Longitudinal data are measurements or observations taken from multiple subjects repeatedly over time. The main theme of this book is to describe autoregressive linear mixed effects models for longitudinal data analysis. This model is an extension of linear mixed effects models and autoregressive...
Available

Autoregressive Linear Mixed Effects Models

Funatogawa, Ikuko; Funatogawa, Takashi

Pages: 27 –58

[In the previous chapter, longitudinal data analysis using linear mixed effects models was discussed. This chapter discusses autoregressive linear mixed effects models in which the current response is regressed on the previous response, fixed effects, and random effects. These are an extension of...
Available

Case Studies of Autoregressive Linear Mixed Effects Models: Missing Data and Time-Dependent Covariates

Funatogawa, Ikuko; Funatogawa, Takashi

Pages: 59 –75

[In the previous chapter, we introduced autoregressive linear mixed effects models for analysis of longitudinal data. In this chapter, we provide examples of actual data analysis using these models. We also discuss two topics from the medical field: response-dependent dropouts and...
Available

Multivariate Autoregressive Linear Mixed Effects Models

Funatogawa, Ikuko; Funatogawa, Takashi

Pages: 77 –98

[Previous chapters discussed linear mixed effects models and autoregressive linear mixed effects models for analysis of longitudinal data. This chapter discusses multivariate extensions of these models. In longitudinal clinical studies, multivariate responses are often collected at each...
Available

Nonlinear Mixed Effects Models, Growth Curves, and Autoregressive Linear Mixed Effects Models

Funatogawa, Ikuko; Funatogawa, Takashi

Pages: 99 –117

[In the previous chapters, we discussed autoregressive linear mixed effects models. In this section, we discuss the relationships between the autoregressive linear mixed effects models and nonlinear mixed effects models, growth curves, and differential equations. The autoregressive model shows a...
Available

State Space Representations of Autoregressive Linear Mixed Effects Models

Funatogawa, Ikuko; Funatogawa, Takashi

Pages: 119 –138

[The previous chapters discussed longitudinal data analysis using linear mixed effects models and autoregressive linear mixed effects models. This chapter discusses state space representations of these models. This chapter also introduces the state space representations of time series data and...

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