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Secondly, analysis of covariance with baseline scores entered as the covariate was used to assess between-group differences in follow-up scores and calculate effect sizes for two specified contrasts using the contrast estimates divided by the square root of the error mean square term.
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Whenever treatment condition or the treatment condition × time interaction was statistically significant, multiple Tukey post hoc comparisons were performed at each time point using the mean square error term of the treatment condition × time interaction.
Planned comparisons were carried out using simple main effects using the mean square error term from the original interaction (Winer 1971).
Since different forms of the ICC may affect the size of SEM, an alternative way of calculating the SEM by using the square root of the mean square error term of the analysis of variance (ANOVA) has been recommended [ 13].
MDC is based on the standard error of measurement and calculated at a 95% confidence interval (MDC95) using the formula of: Standard error of measurement × √ n × 1.96, (1) where the standard error of measurement is derived from the square root of the mean square error term in the repeated measures analysis of variance and √n is the number of measurements used.
The standard error estimate (Root Mean square Error term in the model) used for testing differences between group means was obtained from the residuals of the linear fit for all the data and this minimized the effect of skewed standard deviation estimates from measurements close to the boundary values.
where λ denotes a regularization parameter which balances the mean square error (MSE) term and sparsity of h.
In addition, the mean-centered square terms of continuous variables were included in the modeling if nonlinearity was present, checked by a scatter plot between the response variable and the predictor.
This means that RLS algorithm will reduce to least mean square (LMS) in terms of complexity.
The optimal control problem is solved on a return path yielding the mean square acceleration in terms of the distributions of significant maxima and first-passage time of the wall process.
One of the aim of this paper is to show that in the general case of discretetime time-varying linear stochastic systems subject to an homogeneous or an inhomogeneous Markov chain, exponential stability mean square defined in terms of state space trajectories of the systems cannot be always characterized via quadratic Lyapunov functions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com