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Related Concept Videos

Multicompartment Models: Overview01:14

Multicompartment Models: Overview

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Multicompartment models are mathematical constructs that depict how drugs are distributed and eliminated within the body. They segment the body into several compartments, symbolizing various physiological or anatomical areas connected through drug transfer processes such as absorption, metabolism, distribution, and elimination.
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
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Multi-input and Multi-variable systems01:22

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Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence of...
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Time-Series Graph00:54

Time-Series Graph

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A time-series graph is a line graph with repeated measurements taken at successive intervals of time. It is also called a time series chart. To construct a time-series graph, one must look at both pieces of a paired data set. The horizontal axis is used to plot the time increments, and the vertical axis is used to plot the values of the variable that one is measuring. By using the axes in this way, each point on the graph will correspond to time and a measured quantity. The points on the graph...
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Noncompartmental Analysis: Statistical Moment Theory00:56

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Noncompartmental analyses leverage statistical moment theory to examine time-related changes in macroscopic events, encapsulating the collective outcomes stemming from the constituent elements in play. Statistical moment theory is a mathematical approach used to describe the time course of drug concentration in the body without assuming a specific compartmental model. SMT provides insights into drug absorption, distribution, metabolism, and elimination by treating drug concentration versus time...
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Mechanistic Models: Compartment Models in Individual and Population Analysis01:23

Mechanistic Models: Compartment Models in Individual and Population Analysis

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Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least...
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Mechanistic Models: Overview of Compartment Models01:21

Mechanistic Models: Overview of Compartment Models

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Mechanistic models, a category encompassing both physiological and compartmental modeling, differ from empirical models' approaches to incorporating known factors about the systems being modeled. Empirical models describe data with minimal assumptions, while mechanistic models aim to provide a robust description of available data by specifying assumptions and integrating known factors about the system. Compartmental analysis is a key example of a mechanistic model in pharmacokinetics and...
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Related Experiment Video

Updated: Mar 26, 2026

Using Cholesky Decomposition to Explore Individual Differences in Longitudinal Relations between Reading Skills
06:52

Using Cholesky Decomposition to Explore Individual Differences in Longitudinal Relations between Reading Skills

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The Study Of Multivariate Change Structures: A Conceptual Perspective.

E W Labouvie

    Multivariate Behavioral Research
    |January 24, 2016
    PubMed
    Summary

    This study introduces a new developmental model using Joreskog

    Area of Science:

    • Psychology
    • Statistics
    • Developmental Science

    Background:

    • Joreskog's LISREL model is commonly applied to longitudinal data analysis.
    • Existing models often focus on causal links between individual differences at different time points.
    • A gap exists in modeling the relationship between initial states and subsequent intraindividual change.

    Purpose of the Study:

    • To propose a novel developmental model for analyzing longitudinal data.
    • To investigate causal relationships between initial individual differences and subsequent intraindividual changes.
    • To define prototypes of developmental continuity and discontinuity.

    Main Methods:

    • Application of Joreskog's LISREL model to longitudinal data.
    • Postulation of causal relationships at two levels: factor scores and factor loading patterns.

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    Related Experiment Videos

    Last Updated: Mar 26, 2026

    Using Cholesky Decomposition to Explore Individual Differences in Longitudinal Relations between Reading Skills
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    Using Cholesky Decomposition to Explore Individual Differences in Longitudinal Relations between Reading Skills

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  • Development of a framework to define developmental change prototypes.

    • Main Results:

    • The proposed model establishes causal links between initial individual differences and intraindividual changes.
    • Analysis considers causal relationships at both factor score and factor loading levels.
    • Four distinct prototypes of developmental continuity/discontinuity can be identified.

    Conclusions:

    • The novel developmental model offers a new perspective on analyzing longitudinal data.
    • It allows for a nuanced understanding of how initial differences influence subsequent intraindividual changes.
    • The framework aids in characterizing developmental processes as continuous or discontinuous.