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Addressing Missing Data in Research

Learn how multiple imputation helps with missing data in studies.

Jiaxin Zhang, S. Ghazaleh Dashti, John B. Carlin, Katherine J. Lee, Jonathan W. Bartlett, Margarita Moreno-Betancur

― 6 min read


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Table of Contents

Imagine you're trying to bake a cake, but you've lost the recipe. You have some of the ingredients, but not all. This is pretty much what happens in many studies when researchers collect data. Sometimes, they don’t get all the information they need from their participants. This can lead to big problems when they try to figure things out later, like the effects of a certain behavior on health.

So, we have missing data. It’s like searching for a sock in the laundry-sometimes, you just can’t find it. Researchers have ways to deal with this missing data, and one of the popular methods is called Multiple Imputation. It’s like guessing the missing sock color based on the other socks you have.

What is Multiple Imputation?

Let’s break it down. Multiple imputation is a fancy way of saying we fill in the gaps in our data. Imagine you have a table with some empty spots. Instead of just filling those spots randomly, you use the information you already have to make educated guesses. This means you end up with several completed tables instead of just one. It’s like making different versions of a cake to see which one tastes better!

Once we have those filled-in tables, we can analyze them. Each time, we’ll get a slightly different answer, like how many sprinkles you need to make your cake perfect. Then, we average those answers for a final result.

The Trouble with Missing Data

But hold your sprinkles! Missing data is not just a small inconvenience. It can cause bias-meaning the results we get might be off. Think of it like trying to bake while half-blindfolded. You might miss a key ingredient, and that can ruin your cake. In research, if the data is missing for certain people or in certain situations, the results can be misleading.

For instance, if we want to know if eating cake every day is good for your health-but we only ask people who are super healthy and leave out anyone who has health issues. Guess what? Our results will likely be too sweet to be true.

The New Methods

Recently, researchers have proposed some new methods to tackle these missing data issues. They want to ensure that their filling-in-the-gaps game is solid. These new approaches try to make sure the imputation models match the analysis models.

In simpler terms, when we guess the missing socks, we want to ensure that our guesses line up with what we know about the whole sock drawer.

The SMCFCS Approach

One new method is called SMCFCS. This method takes a structured approach to filling in those gaps based on the relationships between different variables. Imagine you have a pastry chef's chart that shows how all the ingredients work together. SMCFCS is like using that chart to make sure you’re mixing the right amount of flour, sugar, and eggs.

The SMC-stack Approach

Another approach is SMC-stack. This method involves stacking the filled-in tables on top of each other. It's like layering flavors in a cake to create the perfect slice. Once they stack the data, they can analyze it as one big piece rather than bits and pieces.

Both methods aim to address the issues found when using the traditional methods, ensuring that the results are more reliable and less biased.

Understanding Sensitivity Analysis

Now let's talk about something called sensitivity analysis. That sounds fancy, but it’s actually quite simple. It’s all about figuring out how sensitive our results are to different assumptions. Think of it like testing how your cake might taste less sweet if you add a tiny pinch of salt.

For example, if we believe that people who don’t answer our health questions are different in some way, we need to analyze how this assumption affects our results. This helps us gauge how strong our cake might be-or how reliable our findings are.

Why Compatibility Matters

When researchers use these new methods, they must ensure that the imputed data (the cake batter) matches the analysis model (the type of cake they want to bake). If they don’t, they could end up with a cake that tastes like salad-totally off!

In other words, if the imputation model doesn’t fit the analysis model, it can lead to results that are way off the mark.

A Case Study: The VAHCS

To illustrate these concepts, let’s look at a case study from the Victorian Adolescent Health Cohort Study (VAHCS). This is like a long-term study looking at teenagers' health and behaviors over time. Imagine tracking how a group of kids in high school turns out once they get to adulthood.

In this study, researchers wanted to find out if frequent cannabis use affects mental health during young adulthood. However, they faced missing data issues just like the missing socks from earlier.

Making it Work

To fill in those missing spots, researchers used the multiple imputation methods discussed above. They filled in the gaps and then ran their analyses. And surprise! They found that using proper methods gave them more reliable insights into their questions.

The Simulation Study

Next, researchers performed simulations. They created different datasets based on actual data to see how well their new methods performed. It’s like baking dozens of practice cakes before presenting the big one at a party.

They tested various missing data scenarios to see how well their new methods dealt with the missingness. And guess what? The new methods outperformed the older ones, showing less bias-like getting a perfect cake every time they tried.

Results from the Simulation

The simulation showed the researchers that their new methods were less sensitive to assumptions about missingness. This means that even if the assumptions were a little off, the results stayed pretty solid. Like a cake that holds together no matter how you slice it!

The Importance of Good Methods

It’s crucial to choose the right methods when dealing with missing data. Good choices lead to insights that can help us understand behaviors better, like the impact of cannabis on mental health. If researchers pick and mix their methods poorly, they might end up with a cake that only looks good on the outside but tastes bad-leading to conclusions that can mislead or confuse.

Wrap-Up

In conclusion, when researchers deal with missing data, they need to keep their methods sharp and their assumptions in check. Just like baking, a little attention to detail can lead to delightful results.

With the right tools, researchers can uncover the truth behind their questions, just like finding that elusive sock hiding at the bottom of the laundry basket! So next time you hear someone talking about missing data, you can smile, knowing they’re just trying to bake the best cake possible in the world of research.

Original Source

Title: Sensitivity analysis methods for outcome missingness using substantive-model-compatible multiple imputation and their application in causal inference

Abstract: When using multiple imputation (MI) for missing data, maintaining compatibility between the imputation model and substantive analysis is important for avoiding bias. For example, some causal inference methods incorporate an outcome model with exposure-confounder interactions that must be reflected in the imputation model. Two approaches for compatible imputation with multivariable missingness have been proposed: Substantive-Model-Compatible Fully Conditional Specification (SMCFCS) and a stacked-imputation-based approach (SMC-stack). If the imputation model is correctly specified, both approaches are guaranteed to be unbiased under the "missing at random" assumption. However, this assumption is violated when the outcome causes its own missingness, which is common in practice. In such settings, sensitivity analyses are needed to assess the impact of alternative assumptions on results. An appealing solution for sensitivity analysis is delta-adjustment using MI, specifically "not-at-random" (NAR)FCS. However, the issue of imputation model compatibility has not been considered in sensitivity analysis, with a naive implementation of NARFCS being susceptible to bias. To address this gap, we propose two approaches for compatible sensitivity analysis when the outcome causes its own missingness. The proposed approaches, NAR-SMCFCS and NAR-SMC-stack, extend SMCFCS and SMC-stack, respectively, with delta-adjustment for the outcome. We evaluate these approaches using a simulation study that is motivated by a case study, to which the methods were also applied. The simulation results confirmed that a naive implementation of NARFCS produced bias in effect estimates, while NAR-SMCFCS and NAR-SMC-stack were approximately unbiased. The proposed compatible approaches provide promising avenues for conducting sensitivity analysis to missingness assumptions in causal inference.

Authors: Jiaxin Zhang, S. Ghazaleh Dashti, John B. Carlin, Katherine J. Lee, Jonathan W. Bartlett, Margarita Moreno-Betancur

Last Update: Nov 20, 2024

Language: English

Source URL: https://arxiv.org/abs/2411.13829

Source PDF: https://arxiv.org/pdf/2411.13829

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.

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