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Related Concept Videos

Interpretation of Confidence Intervals01:19

Interpretation of Confidence Intervals

A confidence interval is a better estimate of the population than a point estimate, as it uses a range of values from a sample instead of a single value.
Confidence intervals have confidence coefficients that are crucial for their interpretation. The most common confidence coefficients are 0.90, 0.95, and 0.99, which can be written as percentages–90%, 95%, and 99%, respectively.
Suppose a person calculates a confidence interval with a confidence coefficient of 0.95. In that case, they can...
Confidence Intervals01:21

Confidence Intervals

An unbiased point estimate is often insufficient to predict a population estimate, such as population mean or population proportion. In this scenario, a confidence interval is used. A confidence interval is an estimate similar to a sample proportion. However, unlike the point estimate which is a single value, the confidence interval contains a range of values. These values have lower and upper limits, known as confidence limits, and can be designated as L1 and L2, respectively.
A confidence...
Finding Critical Values for Chi-Square01:18

Finding Critical Values for Chi-Square

Consider a curve representing sample data drawn randomly from a normally distributed population. One must construct confidence intervals to estimate or to test a claim regarding the population standard deviation. For example, a 95% confidence interval covers 95% of the area under the curve, and the remaining 5% is equally distributed on either side of the curve. To achieve such confidence intervals, one must determine the critical values. The critical values are simply the values separating the...
Confidence Coefficient01:24

Confidence Coefficient

The confidence coefficient is also known as the confidence level or degree of confidence. It is the percent expression for the probability, 1-α, that the confidence interval contains the true population parameter assuming that the confidence interval is obtained after sufficient unbiased sampling; for example, if the CL = 90%, then in 90 out of 100 samples the interval estimate will enclose the true population parameter. Here α is the area under the curve, distributed equally under both the...
Uncertainty: Confidence Intervals00:54

Uncertainty: Confidence Intervals

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 't,' or...
Confidence Interval for Estimating Population Mean01:25

Confidence Interval for Estimating Population Mean

A point estimate of the population mean is obtained from a single sample. Such a point estimate does not represent a population well because it needs to account for variability in the population. Single point estimate can also be biased despite the sample being selected randomly. Thus, a point estimate is often unreliable. A confidence interval is needed to reduce this unreliability.
A confidence interval for the mean is a range of values that provides an estimate of the population mean. As the...

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Radiation Planning Assistant - A Web-based Tool to Support High-quality Radiotherapy in Clinics with Limited Resources
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Statistical variability and confidence intervals for planar dose QA pass rates.

Daniel W Bailey1, Benjamin E Nelms, Kristopher Attwood

  • 1Department of Physics, State University of New York, Buffalo, NY, USA. Daniel.Bailey@RoswellPark.org

Medical Physics
|November 4, 2011
PubMed
Summary

Pass rates for low-density detector arrays in radiation therapy quality assurance vary due to sampling geometry. Statistical confidence intervals can model this uncertainty, improving accuracy for intensity-modulated fields.

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Published on: March 11, 2021

Area of Science:

  • Medical Physics
  • Radiation Oncology
  • Quality Assurance

Background:

  • Pretreatment quality assurance (QA) for intensity-modulated photon fields commonly uses pass rates based on percent difference (%Diff) and distance-to-agreement (DTA).
  • Low areal density of detectors in dosimeters leads to statistical variability in pass rates, dependent on detector sampling geometry.
  • Understanding this variability is crucial for accurate dose comparison.

Purpose of the Study:

  • Analyze the statistics of common pass rate calculation methods for radiation therapy QA.
  • Propose methods for establishing confidence intervals for pass rates obtained with low-density detector arrays.
  • Improve the reliability of dose comparison metrics in intensity-modulated radiation therapy.

Main Methods:

  • Acquired dose planes for prostate and head/neck intensity-modulated fields using diode arrays and EPID.
  • Simulated low-density measurements by downsampling high-density EPID data.
  • Varied detector grid positions and densities (1-2 detectors/cm²) to assess pass rate variability.
  • Calculated pass rates using %Diff/DTA composite analysis and gamma evaluation with local and global normalization.

Main Results:

  • Gamma analysis yielded 2%-5% higher pass rates than %Diff/DTA composite analysis.
  • Local normalization resulted in 2%-12% lower pass rates compared to global maximum normalization.
  • Pass rate distributions for low-density arrays can be predicted using binomial distribution to establish confidence intervals.

Conclusions:

  • Choice of calculation metric and parameters significantly impacts dose plane QA pass rates.
  • Pass rates from low-density arrays have statistical uncertainty that can be modeled with confidence intervals.
  • Report pass rates with a complete description of the calculation method and associated confidence intervals.