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Related Concept Videos

Uncertainty: Confidence Intervals00:54

Uncertainty: Confidence Intervals

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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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Confidence Intervals01:21

Confidence Intervals

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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...
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Interpretation of Confidence Intervals01:19

Interpretation of Confidence Intervals

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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...
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Confidence Coefficient01:24

Confidence Coefficient

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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...
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Prediction Intervals01:03

Prediction Intervals

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The interval estimate of any variable is known as the prediction interval. It helps decide if a point estimate is dependable.
However, the point estimate is most likely not the exact value of the population parameter, but close to it. After calculating point estimates, we construct interval estimates, called confidence intervals or prediction intervals. This prediction interval comprises a range of values unlike the point estimate and is a better predictor of the observed sample value, y. 
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Confidence Interval for Estimating Population Mean01:25

Confidence Interval for Estimating Population Mean

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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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Assessment and Communication for People with Disorders of Consciousness
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Assessment and Communication for People with Disorders of Consciousness

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How confidence intervals become confusion intervals.

James McCormack, Ben Vandermeer, G Michael Allan1

  • 1Evidence-Based Medicine, Department of Family Medicine, University of Alberta, Room 1706 College Plaza, 8215 - 112 Street NW, Edmonton AB, Canada. michael.allan@ualberta.ca.

BMC Medical Research Methodology
|November 1, 2013
PubMed
Summary
This summary is machine-generated.

Conflicting medical research conclusions often stem from over-reliance on statistical significance, ignoring similar data and confidence intervals. This creates false disagreements and clinical uncertainty, despite consistent findings.

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Area of Science:

  • Medical research methodology
  • Clinical decision-making

Background:

  • Medical controversies frequently arise from conflicting research conclusions, leading to clinical uncertainty.
  • Discrepancies in published findings can challenge frontline clinicians' decision-making processes.

Purpose of the Study:

  • To analyze how similar data can yield contradictory conclusions due to statistical significance over-reliance.
  • To examine the role of confidence intervals in interpreting research findings.
  • To address how to approach conflicting conclusions from high-level evidence.

Main Methods:

  • Review of three case examples of medical controversy.
  • Analysis of meta-analyses and randomized controlled trials.
  • Comparison of point estimates and confidence intervals across studies.

Main Results:

  • Contrasting conclusions were observed despite very similar data, point estimates, and confidence intervals.
  • Differences in conclusions often hinged on whether confidence intervals marginally crossed or failed to cross statistical significance thresholds.
  • Overemphasis on statistical significance masked consistent underlying findings.

Conclusions:

  • Dogmatic adherence to statistical significance leads to dichotomized conclusions, ignoring broader interpretations.
  • Apparent disagreements are often false, creating unnecessary clinical uncertainty.
  • Recommendations are provided for navigating conflicting conclusions associated with similar results.