Calculation of SOI ------------------ Note the anomalies are departures from the 1951-1980 base period. SOI = (Standardized Tahiti - Standardized Darwin) / MSD , where Standardized Tahiti = (Actual Tahiti (SLP) - Mean Tahiti (SLP)) / Standard Deviation Tahiti , and Standard Deviation Tahiti = SQRT( SUMMATION(1) / N ) , where SUMMATION(1) - is the sum of all ((TA) ** 2) TA - Tahiti anomaly = (actual(SLP) - mean(SLP)) N - number of months Standardized Darwin = (Actual Darwin (SLP) - Mean Darwin (SLP)) / Standard Deviation Darwin , and Standard Deviation Darwin = SQRT( SUMMATION(1) / N ) , where SUMMATION(1) - is the sum of all ((DA) ** 2) DA - Darwin anomaly = (actual(SLP) - mean(SLP)) N - number of months To calculate the monthly standard deviation: Monthly Standard Deviation (MSD) = SQRT( SUMMATION(3) / N) SUMMATION(3) - is the sum of ((Standardized Tahiti - Standardized Darwin) ** 2) N - total number of summed months