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Related Concept Videos

Bonferroni Test01:10

Bonferroni Test

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The Bonferroni test is a statistical test named after Carlo Emilio Bonferroni, an Italian mathematician best known for Bonferroni inequalities. This statistical test is a type of multiple comparison test to determine which means are different than the rest. Bonferroni test can minimize the Type 1 error by reducing the significance level alpha, which otherwise increases with sample pairs.
The means of different samples are first paired in all possible combinations.
The null hypothesis of the...
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Significance Testing: Overview01:04

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Significance testing is a set of statistical methods used to test whether a claim about a parameter is valid. In analytical chemistry, significance testing is used primarily to determine whether the difference between two values comes from determinate or random errors. The effect of a particular change in the measurement protocol, analyst, or sample itself can cause a deviation from the expected result. In the case of a suspected deviation/outlier, we need to be able to confirm mathematically...
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Nonparametric statistics offer a powerful alternative to traditional parametric methods, useful when assumptions about the population distribution cannot be made. Unlike parametric tests, which require data to follow a specific distribution with well-defined parameters (such as the mean and standard deviation), nonparametric tests do not require such constraints. This makes them particularly valuable when dealing with small sample sizes, skewed data, or ordinal and categorical variables.
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Identifying Statistically Significant Differences: The F-Test01:14

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The F-test is used to compare two sample variances to each other or compare the sample variance to the population variance. It is used to decide whether an indeterminate error can explain the difference in their values. The underlying assumptions that allow the use of the F-test include the data set or sets are normally distributed, and the data sets are independent of each other. The test statistic F is calculated by dividing one variance by another. In other words, the square of one standard...
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Sign Test for Matched Pairs01:17

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The sign test for matched pairs offers a robust method for comparing two paired samples, often for the effects of an intervention in one of them. This method is very useful in situations where the underlying distribution of the data is unknown. The test compares two related samples—often pre- and post-treatment measurements on the same subjects—to determine if there are significant differences in their median values.
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One-Way ANOVA: Equal Sample Sizes01:15

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One-Way ANOVA can be performed on three or more samples with equal or unequal sample sizes. When one-way ANOVA is performed on two datasets with samples of equal sizes, it can be easily observed that the computed F statistic is highly sensitive to the sample mean.
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Related Experiment Video

Updated: Jan 19, 2026

A New Approach for the Comparative Analysis of Multiprotein Complexes Based on 15N Metabolic Labeling and Quantitative Mass Spectrometry
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A non-parametric significance test to compare corpora.

Alexander Koplenig1

  • 1Leibniz Institute for the German language (IDS), Mannheim, Germany.

Plos One
|September 20, 2019
PubMed
Summary

Classical significance tests are unsuitable for corpus linguistics due to unmet randomness assumptions. This paper introduces a new test to evaluate the significance of corpus linguistics findings, determining if results are substantial or due to chance.

Area of Science:

  • Corpus Linguistics
  • Statistical Methods

Background:

  • Classical null hypothesis significance tests (NHST) rely on randomness assumptions not met in corpus linguistics.
  • Existing methods lack a robust way to assess the relevance of observed linguistic patterns.

Purpose of the Study:

  • To propose a novel statistical test tailored for corpus linguistics.
  • To provide a method for judging the substantiality of linguistic results beyond chance variation.

Main Methods:

  • The paper outlines a new testing procedure designed for corpus data.
  • This method addresses the limitations of traditional significance testing in this field.

Main Results:

  • The proposed test allows researchers to determine if a linguistic attribute is pronounced enough to be considered significant.

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  • It offers a way to differentiate meaningful patterns from random fluctuations in corpora.
  • Conclusions:

    • The developed test is appropriate for corpus linguistics, overcoming the limitations of classical NHST.
    • This facilitates more reliable interpretation of differences and attributes within and between corpora.