The direct methods, Forward Backward, Probability, Ratio, and Lambda score functions, are on the same order of operations as one iteration of the gradient ascent used to solve Equation 14.
These frequency values were transformed in log2 probability ratio values with the PWM function implemented in the Bioconductor Biostring package, using a multinomial model with a Dirichlet conjugate prior to calculate the estimated probability of base b at position i.
Rank probabilities based on the hazard (ratio) function over time provide information on the treatment effect at each time point, ignoring effects at previous time points.
The primary confirmatory endpoint was analyzed using a sequential one-sided truncated probability ratio test.
The posterior probability ratio is calculated between model H n and H n +1, where H n is a model including n background functions.
Posterior probability ratios of models including a different a number of background functions, ζ, in the analysis of the time series in Additional file 1, Figure S1.
Optimizations of cut-off limits using Youden index and logistic regression-derived likelihood ratio functions with correct adaption for pre-test probabilities both yield reasonably stable results, being nearly independent from pre-test probabilities actually used.
Risk ratios are probability distribution function tail ratios, either empirical or theoretical, or sometimes functions thereof.
Statutory retirement does not vary by practice and should not affect the probability of changing practice 9. From each year's probit model we calculate the Inverse Mills Ratio (IMR) as the ratio of the probability density function to the cumulative distribution function.
Left: probability density function of the ratio of positive tweets of participants, for three ranges of (k_{c}).
Infinite series expressions are obtained for the output signal-to-interference ratio's (SIR) probability density function (PDF) and cumulative distribution function (CDF).
