Скачать или смотреть ANOVA Explained Step-by-Step | Analysis of Variance with Numericals - Statistics & Data Science

In this video, I explain *ANOVA (Analysis of Variance)* from basics to advanced, with a **complete numerical example**, making it easy to understand both conceptually and mathematically.

ANOVA is a fundamental *inferential statistics* technique used to determine whether the means of *three or more groups* are significantly different — without increasing Type-I error like multiple t-tests.

*What You’ll Learn in This Video*

🔹 What is ANOVA and why it is used
🔹 Why multiple t-tests are not recommended
🔹 Null and Alternative hypotheses in ANOVA
🔹 How ANOVA works using:

Between-group variation (SSB)
Within-group variation (SSW)
F-statistic

🔹 Complete *ANOVA table structure* (SS, df, MS, F)
🔹 All important **formulas**:

Grand Mean
Sum of Squares (SSB, SSW)
Mean Squares (MSB, MSW)
F-ratio

🔹 *Assumptions of ANOVA* explained clearly
🔹 **Step-by-step numerical example**:

Group means
Grand mean
SSB, SSW
Degrees of freedom
F-statistic calculation
Decision using critical F-value

🔹 Interpretation of results and limitations of ANOVA
🔹 When to use:

One-Way ANOVA
Two-Way ANOVA
Repeated Measures ANOVA
🔹 Why post-hoc tests (Tukey, Bonferroni) are required

This video is ideal for:

*Statistics & Data Science students*
*Mumbai University syllabus*
*Exam preparation*
*Interview revision*
*Applied data science fundamentals*

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