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This is the maximum variance of the initial bi-variate data set.
The PDF lifetime obeys a Gaussian or lognormal PDF which depends on the variance of the initial crack's length.
The mean and variance of the initial values were chosen solely to achieve the convergence of the parameters.
When the variance of the initial condition is small, the probability density function of the shock location is computed with high accuracy.
Fidelity remains above 92% for (Nsimeq80), a result that appears to be only very weakly affected by an increase in the variance of the initial Gaussian distribution.
The initial guess for the mean and variance of the initial state are begin{aligned} mu_{1} = left(begin{array}{cc} ln F^{mathrm{(market)}}_{1,4} & r-cfrac{ln F^{mathrm{(market)}}_{1,16}-ln F^{mathrm{(market)}}_{1,4}}{(16-4)tau} 16-4 tau}}right) tend{array}rightgma_{1} = leftext{and}quad}{cc} 0.05 & 0 0 & 0.05 end{array}right).
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The error variances of the initial and final years are larger than the error variance (2sigma _{a}^{2}left( 1+Phi right) ^{-4}Phi ) at intermediate times by the amount (sigma _{a}^{2}Phi ^{2}left( 1+Phi right) ^{-4}).
Thus, the between-group variance of this initial ANOVA is primarily explained by the difference between the excellent golfers (PROs+HCP 1 14) vs. the combined further two groups (HCP 15 36+NOGOLF).
The homogeneity variances test of the initial scores of the groups resulted in F =1.02 and a p-value of 0.94.
Such an explanation of the data would still show a remarkable relationship between neural responses and the interpretation of the image: ∼36% of the variance in the initial interpretation of images, as reflected in the classification task, would be explained by the response of the single neurons (Fig. 5D).
However, severe heterogeneity of variance in the initial linear regression models required the application of a generalised least squares extension to determine appropriate variance-covariate terms and meet the assumptions of homogeneity of variance [[42], [44], see Text S3].
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