Anmelden

The Analysis of Variance or ANOVA is a statistical test developed by Ronald Fisher in 1918. It is performed on three or more samples to check for equality between their means.

Before performing ANOVA, one must ensure that the samples used for this analysis have three crucial characteristics or statistical assumptions. The first assumption states that the samples should be drawn from normally distributed samples, while the second requires that all the drawn samples be randomly and independently selected. The third and last assumption states that the samples should be drawn from populations with equal variances.

There are two commonly used types of ANOVA: one-way ANOVA and two-way ANOVA. One-way ANOVA is used for the samples categorized by one factor, whereas two-way ANOVA is used when two factors categorize the samples.

Further, ANOVA is a helpful method that has broad practical applications. It can help a consumer select a washing machine or refrigerator after comparing different models or help a sociologist discern whether a person's income depends on their upbringing. ANOVA is used in environmental sciences to determine the variation in average pollution levels among several water bodies. As a result, ANOVA is widely applicable in fields such as life science, business administration, social science, forensic science, etc.

Tags

ANOVAAnalysis Of VarianceStatistical TestEquality Of MeansNormal DistributionRandom SamplingEqual VariancesOne way ANOVATwo way ANOVAPractical ApplicationsConsumer Product SelectionIncome And UpbringingEnvironmental Pollution LevelsLife ScienceBusinessSocial ScienceForensic Science

Aus Kapitel 1:

article

Now Playing

1.22 : What is ANOVA?

Chemical Applications of Statistical Analyses

1.7K Ansichten

article

1.1 : SI Units: 2019 Redefinition

Chemical Applications of Statistical Analyses

1.1K Ansichten

article

1.2 : Degrees of Freedom

Chemical Applications of Statistical Analyses

2.8K Ansichten

article

1.3 : Statistical Analysis: Overview

Chemical Applications of Statistical Analyses

4.3K Ansichten

article

1.4 : Types of Errors: Detection and Minimization

Chemical Applications of Statistical Analyses

1.1K Ansichten

article

1.5 : Systematic Error: Methodological and Sampling Errors

Chemical Applications of Statistical Analyses

1.2K Ansichten

article

1.6 : Random Error

Chemical Applications of Statistical Analyses

604 Ansichten

article

1.7 : Standard Deviation of Calculated Results

Chemical Applications of Statistical Analyses

4.0K Ansichten

article

1.8 : Introduction to z Scores

Chemical Applications of Statistical Analyses

285 Ansichten

article

1.9 : Uncertainty: Overview

Chemical Applications of Statistical Analyses

314 Ansichten

article

1.10 : Propagation of Uncertainty from Random Error

Chemical Applications of Statistical Analyses

421 Ansichten

article

1.11 : Propagation of Uncertainty from Systematic Error

Chemical Applications of Statistical Analyses

273 Ansichten

article

1.12 : Uncertainty: Confidence Intervals

Chemical Applications of Statistical Analyses

2.8K Ansichten

article

1.13 : Significance Testing: Overview

Chemical Applications of Statistical Analyses

3.2K Ansichten

article

1.14 : Identifying Statistically Significant Differences: The F-Test

Chemical Applications of Statistical Analyses

1.3K Ansichten

See More

JoVE Logo

Datenschutz

Nutzungsbedingungen

Richtlinien

Forschung

Lehre

ÜBER JoVE

Copyright © 2025 MyJoVE Corporation. Alle Rechte vorbehalten