Sign In

Sometimes, a data set can have a recorded numerical observation that greatly deviates from the rest of the data. Assuming that the data is normally distributed, a statistical method called the Grubbs test can be used to determine whether the observation is truly an outlier. To perform a two-tailed Grubbs test, first, calculate the absolute difference between the outlier and the mean. Then, calculate the ratio between this difference and the standard deviation of the sample. This number is known as the Grubbs statistic, 'G.' When the calculated G value exceeds the G critical value for a given confidence level and the number of observations, the questionable observation is considered an outlier and removed from the data set. On the contrary, if the calculated G value is smaller than the critical G value, the questionable observation is not considered an outlier and therefore retained in the data set.

Tags
Grubbs TestOutliersStatistical MethodNormally DistributedGrubbs StatisticG ValueG Critical ValueConfidence LevelData SetAbsolute DifferenceStandard Deviation

From Chapter 1:

article

Now Playing

1.21 : Quantifying and Rejecting Outliers: The Grubbs Test

Chemical Applications of Statistical Analyses

1.0K Views

article

1.1 : SI Units: 2019 Redefinition

Chemical Applications of Statistical Analyses

743 Views

article

1.2 : Degrees of Freedom

Chemical Applications of Statistical Analyses

2.7K Views

article

1.3 : Statistical Analysis: Overview

Chemical Applications of Statistical Analyses

3.5K Views

article

1.4 : Types of Errors: Detection and Minimization

Chemical Applications of Statistical Analyses

822 Views

article

1.5 : Systematic Error: Methodological and Sampling Errors

Chemical Applications of Statistical Analyses

845 Views

article

1.6 : Random Error

Chemical Applications of Statistical Analyses

436 Views

article

1.7 : Standard Deviation of Calculated Results

Chemical Applications of Statistical Analyses

3.2K Views

article

1.8 : Introduction to z Scores

Chemical Applications of Statistical Analyses

194 Views

article

1.9 : Uncertainty: Overview

Chemical Applications of Statistical Analyses

174 Views

article

1.10 : Propagation of Uncertainty from Random Error

Chemical Applications of Statistical Analyses

271 Views

article

1.11 : Propagation of Uncertainty from Systematic Error

Chemical Applications of Statistical Analyses

156 Views

article

1.12 : Uncertainty: Confidence Intervals

Chemical Applications of Statistical Analyses

2.5K Views

article

1.13 : Significance Testing: Overview

Chemical Applications of Statistical Analyses

3.1K Views

article

1.14 : Identifying Statistically Significant Differences: The F-Test

Chemical Applications of Statistical Analyses

879 Views

See More

JoVE Logo

Privacy

Terms of Use

Policies

Research

Education

ABOUT JoVE

Copyright © 2025 MyJoVE Corporation. All rights reserved