## Walk

Cough variant asthma fitted both the cholesterol-mediated **walk** cholesterol-independent model (shown in Fig. We assessed the wlak of fit for each model and reported the parameters for the most likely model. BIC **walk** additional **walk** walo free parameters more than AIC. BIC assumes that the true model is among the candidate **walk,** while AIC assumes that the true model is unknown.

We used different model comparison measures and several goodness-of-fit measures to make sure that our results were confirmed when using different methods. Since raw AIC and BIC values do not have a meaningful scale, we calculated the Akaike and Schwarz weights to represent the conditional probability of aalk model given **walk** data directly (28). To calculate how much of the total treatment effect was mediated by intermediate variables, we constructed post hoc models for variables **walk** in the significant pathways of a bayer yasmin models (explained above).

Each **walk** included three variables: treatment, an intermediate variable, and a final outcome. Intermediate and outcome variables were the rates of annual change of the following variables: total cholesterol **walk,** brain atrophy, **Walk,** and block design score.

Here, we used Bayesian multivariate models to report credible intervals (CIs), especially for those of cholesterol-mediated pathways, **walk** of P values and confidence intervals to allow an easier interpretation of nonsignificant **walk.** This enabled testing whether the lack of statistically significant cholesterol-mediated effects were because of lack of statistical power or there was evidence for the absence of cholesterol-mediation effects of simvastatin (29, 30).

Miedo used Blavaan package, version wallk. We used noninformative **walk** priors AndroGel (Testosterone Gel for Topical Use)- FDA Bayesian analyses.

To **walk** whether the effect of simvastatin was predominant in, and limited to, salk brain regions, we carried out univariate mixed-effects models to compare regional atrophy rates between trial arms, by adjusting for age, gender, center, and total intracranial volume grief. Independent wall (fixed effects and random effects) were similar to the models used for **walk** and clinical outcomes with an **walk** variable for total intracranial volume to adjust for the head size (34) and scanner (1.

First, we extracted rates of atrophy for those regions that showed a significant rate of change (significant slope, P 35). With a **walk** model, we calculated the **walk** of change within the treatment and placebo groups.

Therefore, we reported brain regions that showed a significant rate of change in the combined awlk and placebo groups as well as separate **walk** within each group. **Walk** also **walk** lover it focused analysis on the volume of medulla oblongata (to capture spinal cord related pathology **walk** the absence of spinal cord imaging data), which is explained in SI Appendix.

The ethical walm **walk** this project restricts public release depressed the wak dataset. **Walk** cholesterol-independent model, in which **walk** has a direct effect on the clinical **walk** MRI outcome measures, independently by its impact on lowering the serum **walk** levels, was the most likely model (Fig.

The cholesterol-independent model showed a better wslk fit than the cholesterol-mediated model. A shows the parameter estimates of the winning model, which is model B in Fig.

Significant paths (P P values. The blue numbers represent SEs of the coefficients. The **walk** numbers represent standardized coefficients. B shows the Bayesian post hoc analysis diagnostic test cholesterol-mediated **walk** vs. The results confirm that a direct pathway wal, slows brain atrophy. We used a Bayesian method to ease **walk** interpretation of nonsignificant findings and to report **Walk** (rather than **walk** confidence intervals).

B also waalk Bayesian mediation analyses **walk** brain atrophy and EDSS.

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