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This was performed to ensure variance is consistent at the low concentrations and to confirm that the MDLs are valid.
It was also necessary to look at the feedback history (all feedback messages were saved on the Web site) to ensure variance in the recommended CBT and mindfulness exercises and to avoid repeating information.
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The input signal is generated as x k (i)=[x k (i) x k (i−1) … x k (i−M+1)] and x k (i =u k (i +α k x k (i−1), where α k is a correlation coefficient and u k (i) is a white noise process with variance (sigma ^{2}_{u,k}= 1-|alpha _{k}|^{2}), to ensure the variance of x k (i) is (sigma ^{2}_{x,k}= 1).
We also formulate the optimal weighting to be used in the least-squares objective in the covariance estimation problem to ensure minimum variance in the estimates.
However, this problem can easily be fixed by choosing sufficiently small values of (sigma_{m}) that ensure the variance is still small when the correlation is close to one.
For the present study we used a stratified sample to ensure sufficient variance in our SRQ scores.
Statistics of one data type (mRNA) were then scaled to ensure equal variance of statistics of both data types, as described previously [ 11, 12].
A Levene's Test was conducted to ensure homogenous variances.
Ridge regression can lead to inflated variance but has low bias, while LASSO can have high bias but ensures low variance.
The structure matrix provided a useful double-check of factors extracted in the pattern matrix and also ensured shared variance among factors was not ignored.
For the background genes, the gene expression data are randomly generated with Gaussian random variables (of mean 0 and variance 1) and the amplitude is modified to ensure the equal variance between foreground and background gene expression patterns.
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