Sign In

1.12 : 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 t-score, which depends on the number of degrees of freedom and the desired confidence level. It is important to specify whether a one- or two-tailed confidence interval is needed because the confidence level and the one-tailed t-score table differs from the two-tailed version. As the number of measurements increases, the deviation from the mean decreases, leading to a narrow confidence interval.

Tags
Confidence IntervalTrue MeanProbability Percentage95 Confidence IntervalConfidence LimitsSample MeanStandard DeviationT scoreDegrees Of FreedomOne tailed Confidence IntervalTwo tailed Confidence IntervalStatistical FactorMeasurements

From Chapter 1:

article

Now Playing

1.12 : Uncertainty: Confidence Intervals

Chemical Applications of Statistical Analyses

2.3K Views

article

1.1 : SI Units: 2019 Redefinition

Chemical Applications of Statistical Analyses

669 Views

article

1.2 : Degrees of Freedom

Chemical Applications of Statistical Analyses

2.6K Views

article

1.3 : Statistical Analysis: Overview

Chemical Applications of Statistical Analyses

3.4K Views

article

1.4 : Types of Errors: Detection and Minimization

Chemical Applications of Statistical Analyses

696 Views

article

1.5 : Systematic Error: Methodological and Sampling Errors

Chemical Applications of Statistical Analyses

761 Views

article

1.6 : Random Error

Chemical Applications of Statistical Analyses

399 Views

article

1.7 : Standard Deviation of Calculated Results

Chemical Applications of Statistical Analyses

3.2K Views

article

1.8 : Introduction to <em>z</em> Scores

Chemical Applications of Statistical Analyses

141 Views

article

1.9 : Uncertainty: Overview

Chemical Applications of Statistical Analyses

153 Views

article

1.10 : Propagation of Uncertainty from Random Error

Chemical Applications of Statistical Analyses

237 Views

article

1.11 : Propagation of Uncertainty from Systematic Error

Chemical Applications of Statistical Analyses

146 Views

article

1.13 : Significance Testing: Overview

Chemical Applications of Statistical Analyses

3.0K Views

article

1.14 : Identifying Statistically Significant Differences: The <em>F</em>-Test

Chemical Applications of Statistical Analyses

694 Views

article

1.15 : Comparing Experimental Results: Student's <em>t</em>-Test

Chemical Applications of Statistical Analyses

835 Views

See More

JoVE Logo

Privacy

Terms of Use

Policies

Research

Education

ABOUT JoVE

Copyright © 2025 MyJoVE Corporation. All rights reserved