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Mendelian randomization

Mendelian randomization is a biology topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Mendelian randomization rather than just read about it. In short: In epidemiology, Mendelian randomization (commonly abbreviated to MR) is a method using measured variation in genes to examine the causal effect of an exposure on an outcome. Under key assumptions (see below), the design reduces both reverse causation and confounding, which often substantially impede or mislead the interpretation of results from epidemiological studies.

Mendelian randomization — main illustration
Mendelian randomization — illustration

Key takeaways

  • Mendelian randomization belongs to biology; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Mendelian randomization to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Mendelian randomization from memory before moving on to harder problems.

Reference excerpt

In epidemiology, Mendelian randomization (commonly abbreviated to MR) is a method using measured variation in genes to examine the causal effect of an exposure on an outcome. Under key assumptions (see below), the design reduces both reverse causation and confounding, which often substantially impede or mislead the interpretation of results from epidemiological studies.

The study design was first proposed in 1986 and subsequently described by Gray and Wheatley as a method for obtaining unbiased estimates of the effects of an assumed causal variable without conducting a traditional randomized controlled trial (the standard in epidemiology for establishing causality). These authors also coined the term Mendelian randomization.

Motivation One of the predominant aims of epidemiology is to identify modifiable causes of health outcomes and disease, especially those of public health concern. To ascertain whether modifying a particular trait (e.g. via an intervention, treatment or policy change) will convey a beneficial effect within a population, firm evidence that this trait causes the outcome of interest is required. However, many observational epidemiological study designs are limited in their ability to discern correlation from causation – specifically to distinguish whether a particular trait causes an outcome of interest, is simply related to that outcome (but does not cause it) or is a consequence of the disease processes leading up to the outcome, or of the outcome itself. Only the former will be beneficial within a public health setting where the aim is to modify that trait to reduce the burden of disease. Many epidemiological study designs aim to understand relationships between traits within a population sample, each with shared and unique advantages and limitations in terms of providing causal evidence, with the "gold standard" often being considered to be randomized controlled trials. Well-known successful demonstrations of causal evidence consistent across multiple studies with different designs include the identified causal links between smoking and lung cancer, and between blood pressure and stroke. However, there have also been notable failures when exposures hypothesized to be a causal risk factor for a particular outcome were later shown by well-conducted randomized controlled trials not to be causal. For instance, hormone replacement therapy was thought to prevent cardiovascular disease, but it is now known to have no such benefit. Another notable example is that of selenium and prostate cancer. Some observational studies found an association between higher circulating selenium levels (usually acquired through various foods and dietary supplements ) and lower risk of prostate cancer. However, the Selenium and Vitamin E Cancer Prevention Trial (SELECT) showed evidence that dietary selenium supplementation actually increased the risk of prostate and advanced prostate cancer and had an additional off-target effect on increasing type 2 diabetes risk. Mendelian randomization methods now support the view that high selenium status may not prevent cancer in the general population, and may even increase the risk of specific types. Such inconsistencies between observational epidemiological studies and randomized controlled trials are likely a function of social, behavioral or physiological confounding factors in many observational epidemiological designs, which are particularly difficult to measure accurately and difficult to control for. Moreover, randomized controlled trials (RCTs) are usually expensive, time-consuming, and laborious and many epidemiological findings cannot be ethically replicated in clinical trials. In some settings, Mendelian randomization studies appear capable of resolving questions of potential confounding more efficiently than RCTs

Definition Mendelian randomization (MR) uses the properties of germline genetic variation (usually in the form of single nucleotide polymorphisms or SNPs) strongly associated with a potential exposure, if those genetic variants are associated with the outcome then this adds strength to the conclusion that the exposure does have a causal effect on the outcome. The method is most commonly implemented using the instrumental variables estimation method hailing from econometrics. The genetic variants are then used as a "proxy" for that exposure to test for and estimate a causal effect of the exposure on an outcome of interest. The genetic variation used will have either well-understood effects on exposure patterns (e.g. propensity to smoke heavily) or effects that mimic those produced by modifiable exposures (e.g., raised blood cholesterol). Importantly, the genotype must only affect the disease status indirectly via its effect on the exposure of interest.

As genotypes are assigned randomly when passed from parents to offspring during meiosis, then groups of individuals defined by genetic variation associated with an exposure at a population level should be largely unrelated to the confounding factors that typically plague observational epidemiology studies. Given an individual's parents genotype, the genotype they inherit is truly random and so the method was initially proposed as being applied to data which included parents and their offspring. However, the number of datasets which include family data are limited and so Mendelian randomization is usually applied to data on unrelated individuals from a population. However, increasing availability of data is increasing the use of family based methods. Germline genetic variation (i.e. that which can be inherited) is fixed at conception and not modified by the onset of any outcome or disease, precluding reverse causation. Additionally, given improvements in modern genotyping technologies, measurement error and systematic misclassification is often low with genetic data. In this regard Mendelian randomization can be thought of as analogous to "nature's randomized controlled trial". Mendelian randomization requires three core instrumental variable assumptions. Namely that:

… excerpt ends here. Continue reading the full article.

Illustrations

Mendelian randomization: Gregor Mendel. The term Mendelian randomization was coined because the random assignment of genetic variants from parents to offspring is fundamental to the method.
Gregor Mendel. The term Mendelian randomization was coined because the random assignment of genetic variants from parents to offspring is fundamental to the method.
Mendelian randomization: Directed acyclic graph traditionally used to represent the Mendelian randomization framework and its core assumptions. 
  
    
      
        Z
      
    
    {\displaystyle Z}
  
 is the genetic variants, 
  
    
      
        X
      
    
    {\displaystyle X}
  
 is the exposure, 
  
    
      
        Y
      
    
    {\displaystyle Y}
  
 is the outcome of interest, and 
  
    
      
        U
      
    
    {\displaystyle U}
  
 are possible confounders.
Directed acyclic graph traditionally used to represent the Mendelian randomization framework and its core assumptions. Z {\displaystyle Z} is the genetic variants, X {\displaystyle X} is the exposure, Y {\displaystyle Y} is the outcome of interest, and U {\displaystyle U} are possible confounders.

Worked examples

Example 1 — a first encounter with Mendelian randomization

Start with the simplest possible case. Write down what Mendelian randomization claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In biology, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Mendelian randomization before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Mendelian randomization ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Mendelian randomization

In research
Mendelian randomization appears in biology research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Mendelian randomization in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Mendelian randomization is common in secondary-school and first-year university syllabi. It links to neighbouring topics Applications of randomness, Causal inference, Epidemiology, so understanding it makes those chapters shorter.
In everyday life
Look for Mendelian randomization outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Mendelian randomization in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Mendelian randomization means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Mendelian randomization out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Mendelian randomization in simple terms?

In epidemiology, Mendelian randomization (commonly abbreviated to MR) is a method using measured variation in genes to examine the causal effect of an exposure on an outcome. Under key assumptions (see below), the design reduces both reverse causation and confounding, which often substantially impe…

Why does Mendelian randomization matter?

Because it connects several biology ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Mendelian randomization?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Mendelian randomization.

Tags

  • Applications of randomness
  • Causal inference
  • Epidemiology
  • Genetic epidemiology
  • Observational study

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