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The use of the ratio l/tr(XTX) as the proportion of total variance accounted for by the ith sample PC has the defect that it lies in the half-closed interval 1≥li ≥0. Show that the statistic

lies in the interval 1≥v≥0 where s2m , is the largest diagonal element of XTX (Klock and Bannink, 1962).

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