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Related Concept Videos

Confidence Intervals01:21

Confidence Intervals

7.1K
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...
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Interpretation of Confidence Intervals01:19

Interpretation of Confidence Intervals

6.5K
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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Prediction Intervals01:03

Prediction Intervals

2.3K
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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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...
4.7K
Confidence Interval for Estimating Population Mean01:25

Confidence Interval for Estimating Population Mean

8.0K
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...
8.0K
Testing a Claim about Population Proportion01:24

Testing a Claim about Population Proportion

3.4K
A complete procedure for testing a claim about a population proportion is provided here.
There are two methods of testing a claim about a population proportion: (1) Using the sample proportion from the data where a binomial distribution is approximated to the normal distribution and (2) Using the binomial probabilities calculated from the data.
The first method uses normal distribution as an approximation to the binomial distribution. The requirements are as follows: sample size is large...
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Updated: Sep 11, 2025

A Machine Learning Approach to Design an Efficient Selective Screening of Mild Cognitive Impairment
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Reliable Programmatic Weak Supervision With Confidence Intervals for Label Probabilities.

Veronica Alvarez, Santiago Mazuelas, Steven An

    IEEE Transactions on Pattern Analysis and Machine Intelligence
    |August 11, 2025
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    Summary
    This summary is machine-generated.

    This study introduces a new method for programmatic weak supervision, improving label prediction reliability. It provides confidence intervals for label probabilities, addressing limitations of current techniques.

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    Area of Science:

    • Machine Learning
    • Data Science
    • Artificial Intelligence

    Background:

    • Accurate dataset labeling is expensive and time-consuming.
    • Programmatic weak supervision uses multiple labeling functions (LFs) for probabilistic predictions.
    • Existing methods lack reliability assessments for probabilistic labels.

    Purpose of the Study:

    • To develop a programmatic weak supervision methodology offering confidence intervals for label probabilities.
    • To enhance the reliability of predictions from weak labeling functions.
    • To address the challenge of assorted LF types and unknown interdependences.

    Main Methods:

    • Utilizing uncertainty sets of distributions to model LF information.
    • Encapsulating information from LFs with unrestricted behavior and typology.
    • Developing a framework for programmatic weak supervision with confidence estimation.

    Main Results:

    • Demonstrated improved prediction reliability compared to state-of-the-art methods.
    • Showcased the practicality and utility of generated confidence intervals.
    • Validated through experiments on multiple benchmark datasets.

    Conclusions:

    • The proposed methodology enhances programmatic weak supervision by providing reliable predictions and confidence intervals.
    • The approach effectively handles diverse and interdependent weak labeling functions.
    • This work offers a significant advancement in creating trustworthy probabilistic labels for datasets.