Unlocking Reliable Results: A Comparative Evaluation of Selective Inference Methods in Linear Mixed Models

Thursday 10 April 2025


Scientists have long struggled with a fundamental problem in statistics: how to make reliable conclusions after selecting specific models or hypotheses from large datasets. This issue, known as selective inference, can lead to inaccurate results and undermine the credibility of research findings.


To address this challenge, researchers have developed various methods for conducting statistical analyses while accounting for model selection. One such approach is called sample splitting, which involves dividing data into two parts: one for selecting a model and another for making inferences. Another method is postcAIC, which uses a type of penalty function to adjust the results of the analysis.


However, both of these methods have their limitations. Sample splitting can sacrifice power by using only part of the data for inference, while postcAIC can be computationally intensive and may not work well in high-dimensional settings.


In recent years, a new approach has emerged: selfmade. This method uses a combination of model selection techniques, such as lasso regression, with statistical adjustments to ensure that the results are reliable. Selfmade has been shown to perform well in simulations and has the potential to be used in a wide range of applications.


The researchers behind this study used a variety of methods to evaluate their approach, including simulations and analysis of real-world data from the Framingham Heart Study. They found that selfmade outperformed other methods in terms of controlling false discovery rates and providing accurate estimates of model parameters.


One of the key advantages of selfmade is its ability to adapt to different types of data and models. This flexibility makes it a valuable tool for researchers working with complex datasets, such as those containing multiple variables or clusters.


The implications of this research are significant. By providing a reliable way to make inferences after model selection, selfmade has the potential to improve the accuracy and credibility of scientific findings. This could have far-reaching consequences, from advancing our understanding of diseases to informing policy decisions.


In addition to its practical applications, this study highlights the importance of careful statistical analysis in research. By acknowledging the challenges of selective inference and developing new methods to address them, scientists can increase confidence in their results and make more informed decisions.


Overall, selfmade represents an important step forward in the development of statistical techniques for model selection and inference. As researchers continue to push the boundaries of what is possible with data analysis, this approach will likely play a key role in ensuring that our findings are reliable and trustworthy.


Cite this article: “Unlocking Reliable Results: A Comparative Evaluation of Selective Inference Methods in Linear Mixed Models”, The Science Archive, 2025.


Statistics, Model Selection, Inference, Selective Inference, Sample Splitting, Postcaic, Selfmade, Lasso Regression, False Discovery Rates, Data Analysis.


Reference: Matteo D’Alessandro, Magne Thoresen, “Methods of Selective Inference for Linear Mixed Models: a Review and Empirical Comparison” (2025).


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