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Moreover, information on treatment details and outcome is given by the patient, who will be less aware of the recommendations given in the guideline.
Therefore given a model of the turn rate, the probability of observing a particular experimental outcome is given by log (P (d a t a | m o d e l ) ) = ∑ t u r n log (r (x ) Δ t ) − ∑ n o t u r n r (x ) Δ t, where x is the filtered signal, r(x) is the turn rate predicted by the model, and ∆ t is the sampling rate.
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The strength and nature of the relationship between an input parameter and the outcome are given by the size and sign of the relevant SRRC.
The regression outcome was given by the estimated (adjusted) odds ratios and the corresponding 95% confidence intervals.
Hence, the probability in question, which equals the number of favourable outcomes divided by the number of possible outcomes, is given by the binomial distribution where p = r/(r + b) and q = b/(r + b) = 1 − p. For example, suppose r = 2b and n = 4.
The logarithm of the RR per micrograms per meter cubed, its SE, and associated PM2.5 concentration for the five outcomes is given by type of PM2.5 in Supplemental Material, Table S1.
The condition outcomes are given by all possible combinations of five Boolean variables (p, q, r, s, x).
Specifically, we assume that mental health outcomes are given by {y}_{ij t}=alpha +beta {mathrm{jobloss}}_{j t-1}+{x}_{ij t}pi +{c}_{j t}gamma +{w}_{ij}delta +{z}_jtheta +{u}_{ij t} (1).
The probability that observation i chooses outcome j is given by: begin{array}{ll}mathrm{P}left y=1Big|mathbf{x}right)=1/left[1+{disum_{h=1}^ Jum_{h=1}^J exp left({x}_{it}{upbeta}_hright)}right],hfill & j=1hfill mathrm{P}left y=jBig|mathbf{x}right)= exp left({x}_{it}{upbeta}_hright)/left[1+{displaystyle sum_{h=1}^ Jexp left({x}_{it}{upbeta}_hright)}right],hfill & j=2,3,4hfill end{array}.
The instrumental variable (IV) estimator for the exposure X and the outcome Y is given by where β(Z → Y ) and β(Z → X ) are the parameters of association between Z and Y and between Z and X, respectively.
The intraclass correlation that measures the correlation among outcomes within centre is given by σ b 2 σ e 2 + σ b 2, assumed equal across all centres.
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