Tutorial 25 -Variance Ratio Test Hypothesis Testing In Stats- Krish Naik hindi
Автор: Krish Naik Hindi
Загружено: 2024-01-19
Просмотров: 17171
Описание:
The Variance Ratio Test, often used in statistical analysis, is a method for testing the hypothesis that multiple populations have the same variance. It's particularly useful when the normality assumption for the populations is met. Here's a detailed explanation:
Definition and Purpose
What It Is: The Variance Ratio Test is a statistical test used to determine whether the variances of two or more populations are equal. This is crucial for methods like ANOVA (Analysis of Variance), which assume equal variances across groups.
Objective: The primary objective is to test the null hypothesis that the variances of the populations are equal against the alternative hypothesis that they are not.
How It Works
Comparison of Variances: The test involves calculating the ratio of the sample variances from different populations. If the populations truly have equal variances, this ratio should be close to 1.
F-Statistic: The test statistic used is typically the F-statistic, which follows an F-distribution under the null hypothesis. The F-statistic is calculated by dividing the larger sample variance by the smaller one.
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