Combined variance (two groups, internal variances about own means) (Pooled variance: within-group spread plus between-group mean shift)

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Pooled variance: within-group spread plus between-group mean shift

What each symbol means

SymbolWhat it stands for
d_iDeviation of group mean from pooled mean

When to use this

σ_i² are variances within each group (divisor n_i convention must match problem).