Simple Science

Cutting edge science explained simply

# Statistics # Methodology # Computation

Understanding Compositional Data Analysis with Multilevelcoda

A practical guide to analyzing compositional data using Bayesian multilevel models.

Flora Le, Dorothea Dumuid, Tyman E. Stanford, Joshua F. Wiley

― 5 min read


Compositional Data Made Compositional Data Made Easy structures using multilevelcoda. Efficient analysis of complex data
Table of Contents

Compositional data refers to information we collect where everything adds up to a whole. Imagine a pizza: each slice represents part of the whole pizza. In studies, this can include things like time spent on various activities in a day, or the nutrients in a meal. The important part is that all these slices together equal 100% of the pizza or a total of something like 24 hours in a day.

The Problem with Compositional Data

When researchers try to analyze this type of data using regular statistical methods, they run into trouble. Regular methods assume the parts can vary independently, which they can’t because they’re all linked together. If you eat more pizza, that means you’re probably eating less of something else. It's a classic tug-of-war where one side pulls up, the other side goes down.

Enter Bayesian Multilevel Models

So, how do we deal with compositional data? That’s where Bayesian multilevel models come into play. These models allow researchers to analyze data with multiple layers or levels. For example, if you're looking at sleep patterns, you could analyze data from different individuals and also from various days for each individual.

The Multilevelcoda Package

One tool that makes this job easier is the multilevelcoda package in R. This software helps researchers analyze multilevel compositional data without pulling their hair out in frustration. With it, they can make sense of the data related to sleep or diet in a coherent way.

How Does it Work?

You start by collecting your data, whether it’s about sleep times or your snacking habits. Then, you define the different slices of your data, such as sleep, waking hours, and physical activities. After that, you plug this data into the multilevelcoda package, and voilà! It helps you run analyses tailored for your data structure.

Why Use Bayesian Inference?

Now, why should anyone bother with Bayesian methods, you ask? Well, Bayesian inference allows researchers to incorporate prior knowledge into their analysis. Think of it as using your grandma’s secret recipe to bake cookies: you have a good guess about what might work based on past experiences. This flexibility is especially useful in complex models with lots of moving parts.

Getting Started with Multilevelcoda

If you're ready to dive into the multilevelcoda package, here’s the lowdown on how to get rolling. The first step is to install the software in R – don't worry, it’s easier than teaching a cat to fetch.

  1. Install the Package: Just like you’d download an app, you’ll tell R to get the multilevelcoda package.

  2. Load Your Data: Get your data into R. This might mean gathering up all those slices of pizza or those hours of sleep and getting them into the system.

  3. Define Your Composition: You will set up your composition by specifying which parts make up your whole.

  4. Run Your Analysis: Finally, you hit the button to run your analysis. It’s as simple as pressing ‘start’ on your favorite sci-fi movie.

What Can You Analyze?

With this method, you can analyze all sorts of things. For instance, if you’re interested in how sleep and exercise affect stress levels, you can figure that out with ease. You can look at how changes in your sleep contribute to your overall well-being and how shifting time spent in different activities impacts stress.

The Isometric Log-Ratio Transform

Here’s where things get a bit fancy. The isometric log-ratio transform (ilr) is a nifty trick that helps solve the problem of compositional data. It transforms the data into a format that is usable for regular statistical analyses. Imagine turning that pizza into a pie chart – it allows you to see the slices clearly!

Between-Person and Within-Person Variability

When analyzing multilevel data, researchers can look at both between-person and within-person effects. Between-person effects deal with differences across individuals, while within-person effects focus on variations within the same person over time. This is like comparing how one friend eats pizza differently than another friend versus how you might eat pizza on a Friday night versus a Tuesday night.

Substitution Analysis

One of the exciting features of the multilevelcoda package is its ability to conduct substitution analysis. This lets researchers see what happens when they change one part of their composition while keeping the others constant. For instance, what if you swap out some sleep time for some exercise? Does that produce a noticeable change in stress levels?

Visualizing Your Results

Once you’ve run your analysis, you’ll want to share your results. Thankfully, the multilevelcoda package makes it easy to create visualizations. After all, who doesn’t love a good graph or chart? You can show how different activities like sleep, wake time, and exercise relate to stress levels in a neat, easy-to-understand format.

Comparison to Other Packages

Now, you might wonder, "Is multilevelcoda really the best out there?" While there are other packages that deal with compositional data, they often miss the mark when working with multilevel structures. Multilevelcoda shines by allowing a more focused analysis that is faster and tailored for the tasks at hand.

Future Developments

Just like any good tech, multilevelcoda is still being improved. The developers are looking to add more features, such as how to handle missing data or zeros. They want to make the analysis as smooth as butter, so researchers can focus on what truly matters – the data.

Wrapping Up

In summary, multilevel compositional data analysis might sound complex, but with the right tools like the multilevelcoda package, it's more manageable than you think. By leveraging Bayesian methods, researchers are equipped to handle data with layers of complexity. So whether you're studying sleep patterns, exercise habits, or any other daily activities, you can slice through the data with ease, just like a well-cut pizza. And who wouldn’t want that?

Original Source

Title: Bayesian multilevel compositional data analysis with the R package multilevelcoda

Abstract: Multilevel compositional data, such as data sampled over time that are non-negative and sum to a constant value, are common in various fields. However, there is currently no software specifically built to model compositional data in a multilevel framework. The R package multilevelcoda implements a collection of tools for modelling compositional data in a Bayesian multivariate, multilevel pipeline. The user-friendly setup only requires the data, model formula, and minimal specification of the analysis. This paper outlines the statistical theory underlying the Bayesian compositional multilevel modelling approach and details the implementation of the functions available in multilevelcoda, using an example dataset of compositional daily sleep-wake behaviours. This innovative method can be used to gain robust answers to scientific questions using the increasingly available multilevel compositional data from intensive, longitudinal studies.

Authors: Flora Le, Dorothea Dumuid, Tyman E. Stanford, Joshua F. Wiley

Last Update: 2024-11-19 00:00:00

Language: English

Source URL: https://arxiv.org/abs/2411.12407

Source PDF: https://arxiv.org/pdf/2411.12407

Licence: https://creativecommons.org/licenses/by/4.0/

Changes: This summary was created with assistance from AI and may have inaccuracies. For accurate information, please refer to the original source documents linked here.

Thank you to arxiv for use of its open access interoperability.

Similar Articles