JoVE Logo

サインイン

When one or more data points appear far from the rest of the data, there is a need to determine whether they are outliers and whether they should be eliminated from the data set to ensure an accurate representation of the measured value. In many cases, outliers arise from gross errors (or human errors) and do not accurately reflect the underlying phenomenon. In some cases, however, these apparent outliers reflect true phenomenological differences. In these cases, we can use statistical methods to help determine whether to retain the outlier. A statistical method that can help us retain or reject outliers is called the Q-test. To perform the Q-test, we first arrange the values in a data set in order of increasing value. Then, we calculate the Q value by taking the ratio of the absolute difference between a data point and its adjacent data point. This Q value is then compared with the tabulated critical Q value at a chosen significance level and appropriate degrees of freedom. If the Q value equals or exceeds the reference Q value in the table, the data point is considered an outlier and therefore rejected from the data set. Here, it is reasonable to disregard the data point as an outlier because the magnitude of the deviation cannot be logically accounted for by random (indeterminate) errors. On the other hand, if the Q value is smaller than the reference value in the table, the data point should be retained, and the interpretation is that the difference between this data point and the rest of the data is within reasonable (statistical) expectation.

タグ

Gross ErrorOutliersQ testStatistical MethodsData PointsData SetCritical Q ValueSignificance LevelDegrees Of FreedomAbsolute DifferenceStatistical Expectation

章から 1:

article

Now Playing

1.16 : Detection of Gross Error: The Q Test

Chemical Applications of Statistical Analyses

4.7K 閲覧数

article

1.1 : SI Units: 2019 Redefinition

Chemical Applications of Statistical Analyses

1.3K 閲覧数

article

1.2 : Degrees of Freedom

Chemical Applications of Statistical Analyses

2.9K 閲覧数

article

1.3 : Statistical Analysis: Overview

Chemical Applications of Statistical Analyses

5.1K 閲覧数

article

1.4 : Types of Errors: Detection and Minimization

Chemical Applications of Statistical Analyses

1.3K 閲覧数

article

1.5 : Systematic Error: Methodological and Sampling Errors

Chemical Applications of Statistical Analyses

1.3K 閲覧数

article

1.6 : Random Error

Chemical Applications of Statistical Analyses

753 閲覧数

article

1.7 : Standard Deviation of Calculated Results

Chemical Applications of Statistical Analyses

4.8K 閲覧数

article

1.8 : Introduction to z Scores

Chemical Applications of Statistical Analyses

309 閲覧数

article

1.9 : Uncertainty: Overview

Chemical Applications of Statistical Analyses

449 閲覧数

article

1.10 : Propagation of Uncertainty from Random Error

Chemical Applications of Statistical Analyses

570 閲覧数

article

1.11 : Propagation of Uncertainty from Systematic Error

Chemical Applications of Statistical Analyses

407 閲覧数

article

1.12 : Uncertainty: Confidence Intervals

Chemical Applications of Statistical Analyses

3.0K 閲覧数

article

1.13 : Significance Testing: Overview

Chemical Applications of Statistical Analyses

3.3K 閲覧数

article

1.14 : Identifying Statistically Significant Differences: The F-Test

Chemical Applications of Statistical Analyses

1.5K 閲覧数

See More

JoVE Logo

個人情報保護方針

利用規約

一般データ保護規則

研究

教育

JoVEについて

Copyright © 2023 MyJoVE Corporation. All rights reserved