Functions to compute center of distribution. summ_center()
is a wrapper for
respective summ_*()
functions (from this page) with default arguments.
summ_center(f, method = "mean")
summ_mean(f)
summ_median(f)
summ_mode(f, method = "global")
f | A pdqr-function representing distribution. |
---|---|
method | Method of center computation. For |
summ_center()
, summ_mean()
, summ_median()
and summ_mode(*, method = "global")
always return a single number representing a center of
distribution. summ_mode(*, method = "local")
can return a numeric vector
with multiple values representing local maxima.
summ_mean()
computes distribution's mean.
summ_median()
computes a smallest x
value for which cumulative
probability is not less than 0.5. Essentially, it is a as_q(f)(0.5)
. This
also means that for pdqr-functions with type "discrete" it always returns an
entry of "x" column from f
's "x_tbl" metadata.
summ_mode(*, method = "global")
computes a smallest x
(which is an entry
of "x" column from f
's x_tbl
) with the highest probability/density.
summ_mode(*, method = "local")
computes all x
values which represent
non-strict local maxima of probability mass/density function.
summ_spread()
for computing distribution's spread, summ_moment()
for general moments.
Other summary functions:
summ_classmetric()
,
summ_distance()
,
summ_entropy()
,
summ_hdr()
,
summ_interval()
,
summ_moment()
,
summ_order()
,
summ_prob_true()
,
summ_pval()
,
summ_quantile()
,
summ_roc()
,
summ_separation()
,
summ_spread()
# Type "continuous"
d_norm <- as_d(dnorm)
# The same as `summ_center(d_norm, method = "mean")`
summ_mean(d_norm)#> [1] -2.072488e-16summ_median(d_norm)#> [1] 2.292681e-14summ_mode(d_norm)#> [1] -2.904343e-12#> [1] 9.999985summ_median(d_pois)#> [1] 10 # Returns the smallest `x` with highest probability
summ_mode(d_pois)#> [1] 9 # Returns all values which are non-strict local maxima
summ_mode(d_pois, method = "local")#> [1] 9 10
# Details of computing local modes
my_d <- new_d(data.frame(x = 11:15, y = c(0, 1, 0, 2, 0)/3), "continuous")
# Several values, which are entries of `x_tbl`, are returned as local modes
summ_mode(my_d, method = "local")#> [1] 12 14