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Engineering Data Analysis2D

Analysis of Variance - Theory & Concepts - Engineering Data Analysis A N O V A Overlap

One-way ANOVA, Randomized Complete Block Design (RCBD), and post-hoc tests for comparing multiple means.

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Engineering Data Analysis • Topic 12

ANOVA Variance & Overlap Visualizer

Between-Group Diff (δ\delta)3.0
Within-Group Noise (σ\sigma)1.2

F-ratio Estimation

F ≈ 62.5

Reject H₀. The groups are separated enough from each other compared to within-group noise.

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• Between-group variance measures how separated the distribution peaks are.

• Within-group variance measures the spread or standard deviation of each distribution.

• ANOVA compares these variances via the F-ratio. Larger F-ratios occur when peaks are far apart and noise is low.

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