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Related Concept Videos

The Uncertainty Principle04:08

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Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
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Uncertainty in Measurement: Reading Instruments02:46

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Counting is the type of measurement that is free from uncertainty, provided the number of objects being counted does not change during the process. Such measurements result in exact numbers. By counting the eggs in a carton, for instance, one can determine exactly how many eggs are there in the carton. Similarly, the numbers of defined quantities are also exact. For example, 1 foot is exactly 12 inches, 1 inch is exactly 2.54 centimeters, and 1 gram is exactly 0.001 kilograms. Quantities...
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Uncertainty: Overview00:59

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In analytical chemistry, we often perform repetitive measurements to detect and minimize inaccuracies caused by both determinate and indeterminate errors. Despite the cares we take, the presence of random errors means that repeated measurements almost never have exactly the same magnitude. The collective difference between these measurements - observed values - and the estimated or expected value is called uncertainty. Uncertainty is conventionally written after the estimated or expected value.
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Uncertainty in Measurement: Accuracy and Precision03:37

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Scientists typically make repeated measurements of a quantity to ensure the quality of their findings and to evaluate both the precision and the accuracy of their results. Measurements are said to be precise if they yield very similar results when repeated in the same manner. A measurement is considered accurate if it yields a result that is very close to the true or the accepted value. Precise values agree with each other; accurate values agree with a true value. 
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Uncertainty in Measurement: Significant Figures03:34

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All the digits in a measurement, including the uncertain last digit, are called significant figures or significant digits. Note that zero may be a measured value; for example, if a scale that shows weight to the nearest pound reads “140,” then the 1 (hundreds), 4 (tens), and 0 (ones) are all significant (measured) values.
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Uncertainty: Confidence Intervals00:54

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The confidence interval is the range of values around the mean that contains the true mean. It is expressed as a probability percentage. The interpretation of a 95% confidence interval, for instance, is that the statistician is 95% confident that the true mean falls within the interval. The upper and lower limits of this range are known as confidence limits. The confidence limits for the true mean are estimated from the sample's mean, the standard deviation, and the statistical factor...
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Updated: Feb 8, 2026

Changes in Mammary Gland Morphology and Breast Cancer Risk in Rats
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Modeling Individual-Level Uncertainty From Missing Data in Multifactorial Breast Cancer Risk Prediction.

Bethan L White1, Lorenzo Ficorella1, Xin Yang1

  • 1Department of Public Health and Primary Care, Centre for Cancer Genetic Epidemiology, University of Cambridge, Cambridge, United Kingdom.

JCO Precision Oncology
|February 6, 2026
PubMed
Summary
This summary is machine-generated.

Missing breast cancer risk data creates uncertainty. Collecting more information, like genetic data, can significantly improve risk prediction accuracy for better clinical decisions.

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Area of Science:

  • Oncology
  • Biostatistics
  • Genetics

Background:

  • Multifactorial breast cancer (BC) risk models are essential for personalized risk assessment.
  • Incomplete risk factor data introduces significant uncertainty into BC risk predictions.
  • Accurate quantification of this uncertainty is crucial for effective risk communication and clinical decision-making.

Purpose of the Study:

  • To quantify the uncertainty in 10-year BC risk estimates for individuals with missing risk factor data.
  • To develop and apply a framework for estimating risk uncertainty distributions and reclassification probabilities.
  • To identify the impact of missing data on BC risk stratification.

Main Methods:

  • Utilized Monte Carlo simulation methods with the BOADICEA model to estimate BC risk distributions.
  • Employed multivariate imputation by chained equations using large reference datasets to handle missing covariates.
  • Developed a framework to calculate uncertainty intervals (UIs) and probability of reclassification for individuals with incomplete data.

Main Results:

  • Incomplete risk factor data led to considerable uncertainty in BC risk estimates, with 95% UIs spanning all risk categories.
  • Moderate-risk women, particularly those with family history or pathogenic variants, showed high reclassification probabilities (up to 57.5%).
  • Risk certainty improved substantially with additional data, especially genetic information and mammographic density.

Conclusions:

  • Missing data can lead to substantial probabilities of risk reclassification, impacting clinical decisions.
  • The presented methodology effectively identifies situations where additional data collection is most beneficial.
  • Improved risk stratification through data collection supports more informed clinical decision-making in breast cancer risk assessment.