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When data is homogeneous over k independent samples of size n_i for i=1,2,...,k, the pooled variance is given by

s_p^2=((n_1-1) s_1^2+(n_2-1) s_2^2+⋯(n_k-1) s_k^2)/(n_1+n_2+⋯+n_k-k)

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