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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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On many occasions, physicists, other scientists, and engineers need to make estimates of a particular quantity. These are sometimes referred to as guesstimates, order-of-magnitude approximations, back-of-the-envelope calculations, or Fermi calculations. The physicist Enrico Fermi was famous for his ability to estimate various kinds of data with surprising precision. Estimating does not mean guessing a number or a formula at random. Instead, estimation means using prior experience and sound...
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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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When we take repeated measurements on the same or replicated samples, we will observe inconsistencies in the magnitude. These inconsistencies are called errors. To categorize and characterize these results and their errors, the researcher can use statistical analysis to determine the quality of the measurements and/or suitability of the methods.
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Scientists always try their best to record measurements with the utmost accuracy and precision. However, sometimes errors do occur. These errors can be random or systematic. Random errors are observed due to the inconsistency or fluctuation in the measurement process, or variations in the quantity itself that is being measured. Such errors fluctuate from being greater than or less than the true value in repeated measurements. Consider a scientist measuring the length of an earthworm using a...
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Related Experiment Video

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Oscillation and Reaction Board Techniques for Estimating Inertial Properties of a Below-knee Prosthesis
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MEASUREMENT: ACCOUNTING FOR RELIABILITY IN PERFORMANCE ESTIMATES.

Brian Waterman, Robert Sutter, Thomas Burroughs

    Physician Leadership Journal
    |August 5, 2015
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    Summary
    This summary is machine-generated.

    Reliability adjustment in physician performance measurement reduces random error, boosting leader confidence in identifying true performance signals. This approach enhances decision-making for effective physician performance improvement initiatives.

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    Area of Science:

    • Healthcare Management
    • Statistical Methods in Medicine
    • Physician Performance Evaluation

    Background:

    • Physician leaders struggle to differentiate true performance signals from random error in performance measurements.
    • This uncertainty hinders confident decision-making for performance improvement.
    • Random error, often due to small sample sizes, impacts the reliability of physician performance data.

    Purpose of the Study:

    • To explore the feasibility and impact of incorporating reliability adjustment into physician performance measurement.
    • To enhance the confidence of physician leaders in performance data for improvement actions.
    • To reduce the influence of random error on the interpretation of physician performance.

    Main Methods:

    • Application of reliability adjustment techniques to physician-level performance data.
    • Utilizing Bayesian methods for reliability adjustment (case study explored a subset).
    • Using provider group average as a basis for shrinkage (one of several potential methods).

    Main Results:

    • Incorporating reliability adjustment is feasible and can significantly reduce the appearance of random variation.
    • The approach helps distinguish true performance signals more effectively than traditional methods.
    • Results suggest a notable decrease in "real" signals compared to traditional approaches.

    Conclusions:

    • Reliability adjustment is a valuable tool for physician leaders seeking to improve performance measurement systems.
    • It increases confidence in performance data, enabling more effective improvement strategies.
    • Further research is needed on advanced methods and specialty-specific applications.