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Sampling is a technique to select a portion (or subset) of the larger population and study that portion (the sample) to gain information about the population. Data are the result of sampling from a population. The sampling method ensures that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest. Among the various sampling methods used by...
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Collecting samples or responses from an entire population takes significant time and effort, so a researcher collects responses from only a sample of that population. Suppose a study needs to collect information about a specific mobile application. After sample collection, the researcher analyzes the data and discovers that most individuals in the sample use that specific mobile application. The sample proportion measures the number of individuals in a sample who either use or don't use the...
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A sample refers to a smaller subset representative of a larger population. In analytical chemistry, studying or analyzing an entire population is often impractical or impossible. Therefore, samples are used to draw inferences and generalize the whole population. The sampling method selects individuals or items from a population to create a sample. Standard sampling methods include random, judgemental, systematic, stratified, and cluster sampling. 
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Transfer learning-based two-sample Mendelian randomization method for heterogeneous population.

Yun Wei1,2, Hao Chen1,2, Xinhui Liu3

  • 1Department of Biostatistics, School of Public Health, Cheeloo College of Medicine, Shandong University, No. 12550 Erhuan East Road, Shizhong District, Jinan 250000, Shandong, China.

Briefings in Bioinformatics
|February 9, 2026
PubMed
Summary
This summary is machine-generated.

Population heterogeneity challenges causal inference. Transfer learning-based Mendelian randomization (TLMR) addresses this by transferring exposure data between populations, providing robust estimates for body mass index and pulmonary function.

Keywords:
Mendelian randomizationeffect modifierheterogeneitytransfer learning

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Area of Science:

  • Epidemiology
  • Statistical Genetics
  • Causal Inference

Background:

  • Population heterogeneity, where covariate distributions differ across populations, poses a significant challenge for two-sample Mendelian randomization (MR).
  • This heterogeneity can lead to biased causal effect estimates, particularly when covariates act as both confounders and effect modifiers.
  • Existing MR methods often struggle to account for these complex population differences.

Purpose of the Study:

  • To develop a novel method, transfer learning-based Mendelian randomization (TLMR), to address population heterogeneity in MR.
  • To enable accurate causal effect estimation in a target population by leveraging data from a source population.
  • To provide a flexible and robust MR approach applicable to various outcome types and settings.

Main Methods:

  • TLMR utilizes observable effect modifiers to transfer predicted exposures from a source to a target population.
  • The method employs minimal modeling assumptions, allowing for flexible exposure modeling.
  • TLMR supports both continuous and binary outcomes and includes an extension for reverse transfer in the outcome model.

Main Results:

  • Simulations demonstrate that TLMR provides robust and consistent estimates in heterogeneous populations.
  • TLMR outperforms eight widely used MR methods that exhibit substantial estimation bias.
  • In homogeneous populations or without effect modification, TLMR performs comparably to existing approaches.
  • The study systematically evaluated the causal relationship between body mass index and pulmonary function using TLMR.

Conclusions:

  • TLMR effectively addresses population heterogeneity in two-sample MR, yielding accurate causal effect estimates.
  • The method offers improved accuracy and practical utility compared to existing MR approaches.
  • TLMR is a valuable tool for causal inference in diverse populations, as evidenced by its application to body mass index and pulmonary function.