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Consciousness-Based Education - Maharishi University of ...

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consciousness-based education and Government1700 participants or more. This earlier study also found a significantpositive impact <strong>of</strong> the group at lags zero, two, and four.For the variable US t, a significant parameter estimate at lag onewas found (0.214, t = 3.02, p = .0026) which was positive in sign. Thisestimate indicates a significant leading effect <strong>of</strong> US actions on Sovietbehavior. The magnitude, sign, and time lag <strong>of</strong> this estimate are consistentwith the results reported in Gelderloos et al. (1990a, 1990b).The positive sign <strong>of</strong> the estimate implies reciprocity on the part <strong>of</strong> theUSSR in responding to US actions. The magnitude <strong>of</strong> the reciprocity,however, is modest. 19Diagnostic checks for the model were satisfactory. The residual seriesappeared to be uncorrelated white noise, and no significant residualautocorrelations were found at lags 1 to 24. The null hypothesis thatall residual autocorrelations were zero could not be rejected using theLjung-Box Q (LBQ ) test (Ljung and Box, 1978) for lags 1 to 12 (x 2 (8)= 4.7, p = .789) or lags 1-24 (x 2 (20) = 10.5, p = .958).Examination <strong>of</strong> the plot <strong>of</strong> the standardized residuals from the TFmodel (residual divided by standard deviation <strong>of</strong> residuals) did notreveal any extreme outlying values that would be likely to severely distortparameter estimates, a conclusion confirmed by sensitivity analysis.20 The largest residual was 3.01 standard deviations above the mean,a residual corresponding to the November 1985 Gorbachev-Reagansummit. The largest negative residual was 2.79 standard deviationsbelow the mean. This spread <strong>of</strong> the residuals was consistent with that <strong>of</strong>a sample drawn from a normal distribution as shown by the studentizedrange (SR) test (p > .10)(David et al., 1954). 21The histogram showed the distribution <strong>of</strong> residuals to be unimodal,negatively skewed, but not grossly non-normal in appearance. 22 Whilenormality was not rejected using the SR test, which is based on thespread <strong>of</strong> the residuals, normality was rejected using the Jarque-Beratest (Jarque and Bera, 1987), an asymptotic test based on the coefficients<strong>of</strong> skewness and kurtosis (x 2 (2) = 9.300, p = .01). Thus thereis evidence, albeit mixed, that the sample residuals may be drawnfrom a non-normal distribution. In this case, statistical inferences formodel parameter estimates can be based on the asymptotic normality<strong>of</strong> the maximum likelihood estimates even in the presence <strong>of</strong> non-472

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