CImu_data | R Documentation |
The CImu_data
function is designed for the generation of confidence intervals pertaining to a population mean mu
.
The function accommodates scenarios in which a dataset x
is either provided or generated through a random sampling process
from a normal distribution, with user-specified parameters such as a mean mu
and a standard deviation sigma
.
Subsequently, the function computes essential statistical measures, including the sample mean xbar
and the standard deviation sd
.
Confidence intervals for the population mean are then calculated at user-defined confidence levels (conf.level
).
The output is a structured list containing pertinent statistics, encompassing the mean, sample standard deviation,
confidence intervals, and other relevant details.
CImu_data(
x = NULL,
n = length(x),
xbar = NULL,
sd = NULL,
conf.level = c(0.9, 0.95, 0.99),
mu = NULL,
sigma = NULL
)
dcimu(
x = NULL,
n = length(x),
xbar = NULL,
sd = NULL,
conf.level = c(0.9, 0.95, 0.99),
mu = NULL,
sigma = NULL
)
x |
numeric: vector of data values |
n |
numeric: length of the vector x (if |
xbar |
numeric: sample mean |
sd |
numeric: sample standard deviation |
conf.level |
numeric: vector of confidence levels of the interval (default: |
mu |
numeric: true value of the mean |
sigma |
numeric: vector of possible variance |
a list with
a
with 1-(1-conf.level)/2
n
number observations if given
xbar
mean of observations if not given
mu
theoretical mean if given
sd
standard deviation of observations
sigma
theoretical standard deviation if given
df
degrees of freedom if a t
distribution is used
q
if sigma=NULL
ss
either sd
or sigma
e
margin of error (half of the length of the confidence interval(s))
l
length of the confidence interval(s)
v
endpoints of the confidence interval(s)
# with data
x <- rnorm(100)
CImu_data(x, conf.level=0.95)
# simulate data internally
CImu_data(n=100, conf.level=0.95, mu=0, sigma=1)
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