diff --git a/R/1_model_parameters.R b/R/1_model_parameters.R
index 2a0980280..d74550842 100644
--- a/R/1_model_parameters.R
+++ b/R/1_model_parameters.R
@@ -41,10 +41,10 @@
 #'   the number of digits for the output. If `s_value = TRUE`, the p-value will
 #'   be replaced by the S-value in the output (cf. _Rafi and Greenland 2020_).
 #'   `pd` adds an additional column with the _probability of direction_ (see
-#'   [bayestestR::p_direction()] for details). `groups` can be used to group
+#'   [`bayestestR::p_direction()`] for details). `groups` can be used to group
 #'   coefficients. It will be passed to the print-method, or can directly be used
-#'   in `print()`, see documentation in [print.parameters_model()]. Furthermore,
-#'   see 'Examples' in [model_parameters.default()]. For developers, whose
+#'   in `print()`, see documentation in [`print.parameters_model()`]. Furthermore,
+#'   see 'Examples' in [`model_parameters.default()`]. For developers, whose
 #'   interest mainly is to get a "tidy" data frame of model summaries, it is
 #'   recommended to set `pretty_names = FALSE` to speed up computation of the
 #'   summary table.
@@ -331,10 +331,11 @@ model_parameters <- function(model, ...) {
 parameters <- model_parameters
 
 
-#' Parameters from (General) Linear Models
+#' @title Parameters from (General) Linear Models
+#' @name model_parameters.default
 #'
-#' Extract and compute indices and measures to describe parameters of (general)
-#' linear models (GLMs).
+#' @description Extract and compute indices and measures to describe parameters
+#' of (generalized) linear models (GLMs).
 #'
 #' @param model Model object.
 #' @param ci Confidence Interval (CI) level. Default to `0.95` (`95%`).
@@ -407,14 +408,25 @@ parameters <- model_parameters
 #'   `$Parameter` column of the parameters table to get the exact parameter
 #'   names.
 #' @param ... Arguments passed to or from other methods. For instance, when
-#'   `bootstrap = TRUE`, arguments like `type` or `parallel` are
-#'   passed down to `bootstrap_model()`.
+#'   `bootstrap = TRUE`, arguments like `type` or `parallel` are passed down to
+#'   `bootstrap_model()`. Further non-documented arguments are `digits`,
+#'   `p_digits`, `ci_digits` and `footer_digits` to set the number of digits for
+#'   the output. If `s_value = TRUE`, the p-value will be replaced by the
+#'   S-value in the output (cf. _Rafi and Greenland 2020_). `pd` adds an
+#'   additional column with the _probability of direction_ (see
+#'   [`bayestestR::p_direction()`] for details). `groups` can be used to group
+#'   coefficients. It will be passed to the print-method, or can directly be
+#'   used in `print()`, see documentation in [`print.parameters_model()`].
+#'   Furthermore, see 'Examples' for this function. For developers, whose
+#'   interest mainly is to get a "tidy" data frame of model summaries, it is
+#'   recommended to set `pretty_names = FALSE` to speed up computation of the
+#'   summary table.
 #' @param drop See `keep`.
 #' @param verbose Toggle warnings and messages.
 #' @inheritParams standard_error
 #'
-#' @seealso [`insight::standardize_names()`] to
-#'   rename columns into a consistent, standardized naming scheme.
+#' @seealso [`insight::standardize_names()`] to rename columns into a
+#'   consistent, standardized naming scheme.
 #'
 #' @inheritSection model_parameters Confidence intervals and approximation of degrees of freedom
 #'
@@ -441,6 +453,11 @@ parameters <- model_parameters
 #' # different p-value style in output
 #' model_parameters(model, p_digits = 5)
 #' model_parameters(model, digits = 3, ci_digits = 4, p_digits = "scientific")
+#'
+#' # report S-value or probability of direction for parameters
+#' model_parameters(model, s_value = TRUE)
+#' model_parameters(model, pd = TRUE)
+#'
 #' \donttest{
 #' # logistic regression model
 #' model <- glm(vs ~ wt + cyl, data = mtcars, family = "binomial")
diff --git a/R/methods_lme4.R b/R/methods_lme4.R
index 854edd29a..230b43832 100644
--- a/R/methods_lme4.R
+++ b/R/methods_lme4.R
@@ -33,8 +33,20 @@
 #'   intervals will be included. Set explicitly to `TRUE` or `FALSE` to enforce
 #'   or omit calculation of confidence intervals.
 #' @param ... Arguments passed to or from other methods. For instance, when
-#'   `bootstrap = TRUE`, arguments like `type` or `parallel` are
-#'   passed down to `bootstrap_model()`.
+#'   `bootstrap = TRUE`, arguments like `type` or `parallel` are passed down to
+#'   `bootstrap_model()`. Further non-documented arguments are `digits`,
+#'   `p_digits`, `ci_digits` and `footer_digits` to set the number of digits for
+#'   the output. If `s_value = TRUE`, the p-value will be replaced by the
+#'   S-value in the output (cf. _Rafi and Greenland 2020_). `pd` adds an
+#'   additional column with the _probability of direction_ (see
+#'   [`bayestestR::p_direction()`] for details). `groups` can be used to group
+#'   coefficients. It will be passed to the print-method, or can directly be
+#'   used in `print()`, see documentation in [`print.parameters_model()`].
+#'   Furthermore, see 'Examples' in [`model_parameters.default()`]. For
+#'   developers, whose interest mainly is to get a "tidy" data frame of model
+#'   summaries, it is recommended to set `pretty_names = FALSE` to speed up
+#'   computation of the summary table.
+#'
 #' @inheritParams model_parameters.default
 #' @inheritParams model_parameters.stanreg
 #'
diff --git a/man/model_parameters.averaging.Rd b/man/model_parameters.averaging.Rd
index e15a8983d..5a001d7be 100644
--- a/man/model_parameters.averaging.Rd
+++ b/man/model_parameters.averaging.Rd
@@ -279,8 +279,19 @@ names.}
 \item{verbose}{Toggle warnings and messages.}
 
 \item{...}{Arguments passed to or from other methods. For instance, when
-\code{bootstrap = TRUE}, arguments like \code{type} or \code{parallel} are
-passed down to \code{bootstrap_model()}.}
+\code{bootstrap = TRUE}, arguments like \code{type} or \code{parallel} are passed down to
+\code{bootstrap_model()}. Further non-documented arguments are \code{digits},
+\code{p_digits}, \code{ci_digits} and \code{footer_digits} to set the number of digits for
+the output. If \code{s_value = TRUE}, the p-value will be replaced by the
+S-value in the output (cf. \emph{Rafi and Greenland 2020}). \code{pd} adds an
+additional column with the \emph{probability of direction} (see
+\code{\link[bayestestR:p_direction]{bayestestR::p_direction()}} for details). \code{groups} can be used to group
+coefficients. It will be passed to the print-method, or can directly be
+used in \code{print()}, see documentation in \code{\link[=print.parameters_model]{print.parameters_model()}}.
+Furthermore, see 'Examples' for this function. For developers, whose
+interest mainly is to get a "tidy" data frame of model summaries, it is
+recommended to set \code{pretty_names = FALSE} to speed up computation of the
+summary table.}
 
 \item{include_studies}{Logical, if \code{TRUE} (default), includes parameters
 for all studies. Else, only parameters for overall-effects are shown.}
diff --git a/man/model_parameters.cgam.Rd b/man/model_parameters.cgam.Rd
index 2cfcad6c6..c2a4afa4b 100644
--- a/man/model_parameters.cgam.Rd
+++ b/man/model_parameters.cgam.Rd
@@ -140,8 +140,19 @@ names.}
 \item{verbose}{Toggle warnings and messages.}
 
 \item{...}{Arguments passed to or from other methods. For instance, when
-\code{bootstrap = TRUE}, arguments like \code{type} or \code{parallel} are
-passed down to \code{bootstrap_model()}.}
+\code{bootstrap = TRUE}, arguments like \code{type} or \code{parallel} are passed down to
+\code{bootstrap_model()}. Further non-documented arguments are \code{digits},
+\code{p_digits}, \code{ci_digits} and \code{footer_digits} to set the number of digits for
+the output. If \code{s_value = TRUE}, the p-value will be replaced by the
+S-value in the output (cf. \emph{Rafi and Greenland 2020}). \code{pd} adds an
+additional column with the \emph{probability of direction} (see
+\code{\link[bayestestR:p_direction]{bayestestR::p_direction()}} for details). \code{groups} can be used to group
+coefficients. It will be passed to the print-method, or can directly be
+used in \code{print()}, see documentation in \code{\link[=print.parameters_model]{print.parameters_model()}}.
+Furthermore, see 'Examples' for this function. For developers, whose
+interest mainly is to get a "tidy" data frame of model summaries, it is
+recommended to set \code{pretty_names = FALSE} to speed up computation of the
+summary table.}
 
 \item{es_type}{The effect size of interest. Not that possibly not all
 effect sizes are applicable to the model object. See 'Details'. For Anova
diff --git a/man/model_parameters.default.Rd b/man/model_parameters.default.Rd
index dcf2dddfc..55fde59d6 100644
--- a/man/model_parameters.default.Rd
+++ b/man/model_parameters.default.Rd
@@ -176,15 +176,26 @@ or \strong{clubSandwich} packages. Please refer to their documentation (e.g.,
 \code{?sandwich::vcovHAC}) to see the list of available arguments.}
 
 \item{...}{Arguments passed to or from other methods. For instance, when
-\code{bootstrap = TRUE}, arguments like \code{type} or \code{parallel} are
-passed down to \code{bootstrap_model()}.}
+\code{bootstrap = TRUE}, arguments like \code{type} or \code{parallel} are passed down to
+\code{bootstrap_model()}. Further non-documented arguments are \code{digits},
+\code{p_digits}, \code{ci_digits} and \code{footer_digits} to set the number of digits for
+the output. If \code{s_value = TRUE}, the p-value will be replaced by the
+S-value in the output (cf. \emph{Rafi and Greenland 2020}). \code{pd} adds an
+additional column with the \emph{probability of direction} (see
+\code{\link[bayestestR:p_direction]{bayestestR::p_direction()}} for details). \code{groups} can be used to group
+coefficients. It will be passed to the print-method, or can directly be
+used in \code{print()}, see documentation in \code{\link[=print.parameters_model]{print.parameters_model()}}.
+Furthermore, see 'Examples' for this function. For developers, whose
+interest mainly is to get a "tidy" data frame of model summaries, it is
+recommended to set \code{pretty_names = FALSE} to speed up computation of the
+summary table.}
 }
 \value{
 A data frame of indices related to the model's parameters.
 }
 \description{
-Extract and compute indices and measures to describe parameters of (general)
-linear models (GLMs).
+Extract and compute indices and measures to describe parameters
+of (generalized) linear models (GLMs).
 }
 \section{Confidence intervals and approximation of degrees of freedom}{
 
@@ -376,6 +387,11 @@ model_parameters(model,
 # different p-value style in output
 model_parameters(model, p_digits = 5)
 model_parameters(model, digits = 3, ci_digits = 4, p_digits = "scientific")
+
+# report S-value or probability of direction for parameters
+model_parameters(model, s_value = TRUE)
+model_parameters(model, pd = TRUE)
+
 \donttest{
 # logistic regression model
 model <- glm(vs ~ wt + cyl, data = mtcars, family = "binomial")
@@ -396,6 +412,6 @@ model_parameters(model)
 \dontshow{\}) # examplesIf}
 }
 \seealso{
-\code{\link[insight:standardize_names]{insight::standardize_names()}} to
-rename columns into a consistent, standardized naming scheme.
+\code{\link[insight:standardize_names]{insight::standardize_names()}} to rename columns into a
+consistent, standardized naming scheme.
 }
diff --git a/man/model_parameters.glht.Rd b/man/model_parameters.glht.Rd
index 9ac52abde..b71244fd3 100644
--- a/man/model_parameters.glht.Rd
+++ b/man/model_parameters.glht.Rd
@@ -58,8 +58,19 @@ names.}
 \item{verbose}{Toggle warnings and messages.}
 
 \item{...}{Arguments passed to or from other methods. For instance, when
-\code{bootstrap = TRUE}, arguments like \code{type} or \code{parallel} are
-passed down to \code{bootstrap_model()}.}
+\code{bootstrap = TRUE}, arguments like \code{type} or \code{parallel} are passed down to
+\code{bootstrap_model()}. Further non-documented arguments are \code{digits},
+\code{p_digits}, \code{ci_digits} and \code{footer_digits} to set the number of digits for
+the output. If \code{s_value = TRUE}, the p-value will be replaced by the
+S-value in the output (cf. \emph{Rafi and Greenland 2020}). \code{pd} adds an
+additional column with the \emph{probability of direction} (see
+\code{\link[bayestestR:p_direction]{bayestestR::p_direction()}} for details). \code{groups} can be used to group
+coefficients. It will be passed to the print-method, or can directly be
+used in \code{print()}, see documentation in \code{\link[=print.parameters_model]{print.parameters_model()}}.
+Furthermore, see 'Examples' for this function. For developers, whose
+interest mainly is to get a "tidy" data frame of model summaries, it is
+recommended to set \code{pretty_names = FALSE} to speed up computation of the
+summary table.}
 }
 \value{
 A data frame of indices related to the model's parameters.
diff --git a/man/model_parameters.htest.Rd b/man/model_parameters.htest.Rd
index b0a069c49..3d83e29c7 100644
--- a/man/model_parameters.htest.Rd
+++ b/man/model_parameters.htest.Rd
@@ -46,8 +46,19 @@ models, can also be a character vector with multiple effect size names.}
 \item{verbose}{Toggle warnings and messages.}
 
 \item{...}{Arguments passed to or from other methods. For instance, when
-\code{bootstrap = TRUE}, arguments like \code{type} or \code{parallel} are
-passed down to \code{bootstrap_model()}.}
+\code{bootstrap = TRUE}, arguments like \code{type} or \code{parallel} are passed down to
+\code{bootstrap_model()}. Further non-documented arguments are \code{digits},
+\code{p_digits}, \code{ci_digits} and \code{footer_digits} to set the number of digits for
+the output. If \code{s_value = TRUE}, the p-value will be replaced by the
+S-value in the output (cf. \emph{Rafi and Greenland 2020}). \code{pd} adds an
+additional column with the \emph{probability of direction} (see
+\code{\link[bayestestR:p_direction]{bayestestR::p_direction()}} for details). \code{groups} can be used to group
+coefficients. It will be passed to the print-method, or can directly be
+used in \code{print()}, see documentation in \code{\link[=print.parameters_model]{print.parameters_model()}}.
+Furthermore, see 'Examples' for this function. For developers, whose
+interest mainly is to get a "tidy" data frame of model summaries, it is
+recommended to set \code{pretty_names = FALSE} to speed up computation of the
+summary table.}
 
 \item{ci_method}{Method for computing degrees of freedom for
 confidence intervals (CI) and the related p-values. Allowed are following
diff --git a/man/model_parameters.merMod.Rd b/man/model_parameters.merMod.Rd
index 680b99992..52bb86415 100644
--- a/man/model_parameters.merMod.Rd
+++ b/man/model_parameters.merMod.Rd
@@ -289,8 +289,19 @@ names.}
 \item{verbose}{Toggle warnings and messages.}
 
 \item{...}{Arguments passed to or from other methods. For instance, when
-\code{bootstrap = TRUE}, arguments like \code{type} or \code{parallel} are
-passed down to \code{bootstrap_model()}.}
+\code{bootstrap = TRUE}, arguments like \code{type} or \code{parallel} are passed down to
+\code{bootstrap_model()}. Further non-documented arguments are \code{digits},
+\code{p_digits}, \code{ci_digits} and \code{footer_digits} to set the number of digits for
+the output. If \code{s_value = TRUE}, the p-value will be replaced by the
+S-value in the output (cf. \emph{Rafi and Greenland 2020}). \code{pd} adds an
+additional column with the \emph{probability of direction} (see
+\code{\link[bayestestR:p_direction]{bayestestR::p_direction()}} for details). \code{groups} can be used to group
+coefficients. It will be passed to the print-method, or can directly be
+used in \code{print()}, see documentation in \code{\link[=print.parameters_model]{print.parameters_model()}}.
+Furthermore, see 'Examples' in \code{\link[=model_parameters.default]{model_parameters.default()}}. For
+developers, whose interest mainly is to get a "tidy" data frame of model
+summaries, it is recommended to set \code{pretty_names = FALSE} to speed up
+computation of the summary table.}
 
 \item{component}{Should all parameters, parameters for the conditional model,
 for the zero-inflation part of the model, or the dispersion model be returned?
diff --git a/man/model_parameters.mlm.Rd b/man/model_parameters.mlm.Rd
index bae5ce615..01dfb5acf 100644
--- a/man/model_parameters.mlm.Rd
+++ b/man/model_parameters.mlm.Rd
@@ -152,8 +152,19 @@ names.}
 \item{verbose}{Toggle warnings and messages.}
 
 \item{...}{Arguments passed to or from other methods. For instance, when
-\code{bootstrap = TRUE}, arguments like \code{type} or \code{parallel} are
-passed down to \code{bootstrap_model()}.}
+\code{bootstrap = TRUE}, arguments like \code{type} or \code{parallel} are passed down to
+\code{bootstrap_model()}. Further non-documented arguments are \code{digits},
+\code{p_digits}, \code{ci_digits} and \code{footer_digits} to set the number of digits for
+the output. If \code{s_value = TRUE}, the p-value will be replaced by the
+S-value in the output (cf. \emph{Rafi and Greenland 2020}). \code{pd} adds an
+additional column with the \emph{probability of direction} (see
+\code{\link[bayestestR:p_direction]{bayestestR::p_direction()}} for details). \code{groups} can be used to group
+coefficients. It will be passed to the print-method, or can directly be
+used in \code{print()}, see documentation in \code{\link[=print.parameters_model]{print.parameters_model()}}.
+Furthermore, see 'Examples' for this function. For developers, whose
+interest mainly is to get a "tidy" data frame of model summaries, it is
+recommended to set \code{pretty_names = FALSE} to speed up computation of the
+summary table.}
 
 \item{summary}{Logical, if \code{TRUE}, prints summary information about the
 model (model formula, number of observations, residual standard deviation
diff --git a/man/model_parameters.rma.Rd b/man/model_parameters.rma.Rd
index 2d12431d8..e58a6844f 100644
--- a/man/model_parameters.rma.Rd
+++ b/man/model_parameters.rma.Rd
@@ -88,8 +88,19 @@ names.}
 \item{verbose}{Toggle warnings and messages.}
 
 \item{...}{Arguments passed to or from other methods. For instance, when
-\code{bootstrap = TRUE}, arguments like \code{type} or \code{parallel} are
-passed down to \code{bootstrap_model()}.}
+\code{bootstrap = TRUE}, arguments like \code{type} or \code{parallel} are passed down to
+\code{bootstrap_model()}. Further non-documented arguments are \code{digits},
+\code{p_digits}, \code{ci_digits} and \code{footer_digits} to set the number of digits for
+the output. If \code{s_value = TRUE}, the p-value will be replaced by the
+S-value in the output (cf. \emph{Rafi and Greenland 2020}). \code{pd} adds an
+additional column with the \emph{probability of direction} (see
+\code{\link[bayestestR:p_direction]{bayestestR::p_direction()}} for details). \code{groups} can be used to group
+coefficients. It will be passed to the print-method, or can directly be
+used in \code{print()}, see documentation in \code{\link[=print.parameters_model]{print.parameters_model()}}.
+Furthermore, see 'Examples' for this function. For developers, whose
+interest mainly is to get a "tidy" data frame of model summaries, it is
+recommended to set \code{pretty_names = FALSE} to speed up computation of the
+summary table.}
 }
 \value{
 A data frame of indices related to the model's parameters.
diff --git a/man/model_parameters.zcpglm.Rd b/man/model_parameters.zcpglm.Rd
index c277b50c3..bb91a300c 100644
--- a/man/model_parameters.zcpglm.Rd
+++ b/man/model_parameters.zcpglm.Rd
@@ -117,8 +117,19 @@ and more).}
 \item{verbose}{Toggle warnings and messages.}
 
 \item{...}{Arguments passed to or from other methods. For instance, when
-\code{bootstrap = TRUE}, arguments like \code{type} or \code{parallel} are
-passed down to \code{bootstrap_model()}.}
+\code{bootstrap = TRUE}, arguments like \code{type} or \code{parallel} are passed down to
+\code{bootstrap_model()}. Further non-documented arguments are \code{digits},
+\code{p_digits}, \code{ci_digits} and \code{footer_digits} to set the number of digits for
+the output. If \code{s_value = TRUE}, the p-value will be replaced by the
+S-value in the output (cf. \emph{Rafi and Greenland 2020}). \code{pd} adds an
+additional column with the \emph{probability of direction} (see
+\code{\link[bayestestR:p_direction]{bayestestR::p_direction()}} for details). \code{groups} can be used to group
+coefficients. It will be passed to the print-method, or can directly be
+used in \code{print()}, see documentation in \code{\link[=print.parameters_model]{print.parameters_model()}}.
+Furthermore, see 'Examples' for this function. For developers, whose
+interest mainly is to get a "tidy" data frame of model summaries, it is
+recommended to set \code{pretty_names = FALSE} to speed up computation of the
+summary table.}
 }
 \value{
 A data frame of indices related to the model's parameters.
diff --git a/man/n_clusters.Rd b/man/n_clusters.Rd
index 444d06ad7..13b385a05 100644
--- a/man/n_clusters.Rd
+++ b/man/n_clusters.Rd
@@ -94,8 +94,19 @@ as \code{method}).}
 \item{n_max}{Maximal number of clusters to test.}
 
 \item{...}{Arguments passed to or from other methods. For instance, when
-\code{bootstrap = TRUE}, arguments like \code{type} or \code{parallel} are
-passed down to \code{bootstrap_model()}.}
+\code{bootstrap = TRUE}, arguments like \code{type} or \code{parallel} are passed down to
+\code{bootstrap_model()}. Further non-documented arguments are \code{digits},
+\code{p_digits}, \code{ci_digits} and \code{footer_digits} to set the number of digits for
+the output. If \code{s_value = TRUE}, the p-value will be replaced by the
+S-value in the output (cf. \emph{Rafi and Greenland 2020}). \code{pd} adds an
+additional column with the \emph{probability of direction} (see
+\code{\link[bayestestR:p_direction]{bayestestR::p_direction()}} for details). \code{groups} can be used to group
+coefficients. It will be passed to the print-method, or can directly be
+used in \code{print()}, see documentation in \code{\link[=print.parameters_model]{print.parameters_model()}}.
+Furthermore, see 'Examples' for this function. For developers, whose
+interest mainly is to get a "tidy" data frame of model summaries, it is
+recommended to set \code{pretty_names = FALSE} to speed up computation of the
+summary table.}
 
 \item{clustering_function, gap_method}{Other arguments passed to other
 functions. \code{clustering_function} is used by \code{fviz_nbclust()} and