Smoothing splines with penalties on order m derivatives.

Performs demographic, bifurcation and evolutionary analysis of physiologically structured population models, which is a class of models that consistently translates continuous-time models of individual life history to the population level.
    A model of individual life history has to be implemented specifying the individual-level functions that determine the life history, such as development and mortality rates and fecundity. 
    M.A. Kirkilionis, O. Diekmann, B. Lisser, M. Nool, B. Sommeijer & A.M. de Roos (2001) <doi:10.1142/S0218202501001264>.
    O.Diekmann, M.Gyllenberg & J.A.J.Metz (2003) <doi:10.1016/S0040-5809(02)00058-8>.
    A.M. de Roos (2008) <doi:10.1111/j.1461-0248.2007.01121.x>.

Computes sample size and power for causal inference studies that
    use propensity score (PS) weighting. Supports continuous, binary, and
    time-to-event (survival) outcomes under four estimands: average treatment
    effect (ATE), average treatment effect on the treated (ATT), average
    treatment effect on the controls (ATC), and average treatment effect on
    the overlap population (ATO). For continuous and binary outcomes, the
    asymptotic variance of the Hajek inverse probability weighting estimator
    is derived under a logit-normal propensity score model, approximated by a
    Beta distribution matched through the Bhattacharyya overlap coefficient.
    For survival outcomes, the asymptotic variance of the propensity-score-
    weighted partial likelihood estimator is used for randomized trials and
    observational studies. The Schoenfeld formula is also available for
    randomized trial settings.

Provides quasi-Newton methods to minimize partially separable
    functions. The methods are largely described by  
    Nocedal and Wright (2006) <doi:10.1007/978-0-387-40065-5>.

Includes functions and data used in the book "Presenting Statistical Results Effectively", Andersen and Armstrong (2022, ISBN: 978-1446269800).  Several functions aid in data visualization - creating compact letter displays for simple slopes, kernel density estimates with normal density overlay.  Other functions aid in post-model evaluation heatmap fit statistics for binary predictors, several variable importance measures, compact letter displays and simple-slope calculation. Finally, the package makes available the example datasets used in the book.