View source: R/betafunctions.R
pBetaMS | R Documentation |
Calculates the probability of some specific observation falling under a specified interval ([0, x] or [x, 1]) under the Standard Beta probability density distribution with defined mean and variance or standard deviation.
pBetaMS(q, mean, variance = NULL, sd = NULL, lower.tail = TRUE, l = 0, u = 1)
q |
A specific point on the x-axis of the Standard Beta probability density distribution with a defined mean and variance. |
mean |
The mean of the target Standard Beta probability density distribution. |
variance |
The variance of the target Standard Beta probability density distribution. |
sd |
The standard deviation of the target Standard Beta probability density distribution. |
lower.tail |
Whether the density that should be considered is between the lower-end (i.e., [0 -> x]) or the higher-end of the distribution (i.e., [x -> 1]). |
l |
The lower-bound location parameter. Default set to 0 (the standard Beta distribution). |
u |
The upper-bound location parameter. Default set to 1 (the standard Beta distribution). |
A value representing the probability of a random draw from the Standard Beta probability density distribution with a defined mean and variance being from one of two defined intervals (i.e., [0 -> x] or [x -> 1]).
# To compute the proportion of the density under the lower-end tail of a
# point along the Standard (two-parameter) Probability Density Distribution
# (e.g., 0.5) with mean of 0.6 and variance of 0.04:
pBetaMS(q = 0.5, mean = 0.6, variance = 0.04)
# To compute the proportion of the density under the lower-end tail of a
# point along the Four-Parameter Beta Probability Density Distribution
# (e.g., 50) with mean of 60 and variance of 400, and lower-bound of 0 and
# upper-bound of 100:
pBetaMS(q = 50, mean = 60, variance = 400, l = 0, u = 100)
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