Var | R Documentation |
Var()
computes the variance of x
. If x
is a matrix variances of the columns of x
are computed. Varn
returns the uncorrected sample variance (which is biased estimator for the sample variance).
Var(x, ...)
## S3 method for class 'Freq'
Var(x, breaks, ...)
## Default S3 method:
Var(x, weights = NULL, na.rm = FALSE, method = c("unbiased", "ML"), ...)
VarN(x, na.rm = FALSE)
x |
a numeric vector, matrix or data frame. |
weights |
a numerical vector of weights the same length as |
na.rm |
logical. Should missing values be removed? |
method |
determines the estimator type; if |
breaks |
breaks for calculating the variance for classified data as composed by |
... |
further arguments passed to or from other methods. |
Var
is just another interface to Cov
.
The denominator n - 1
is used which gives an unbiased estimator
of the (co)variance for i.i.d. observations.
These functions return NA
when there is only one
observation (whereas S-PLUS has been returning NaN
), and
fail if x
has length zero.
For r <- Cor(*, use = "all.obs")
, it is now guaranteed that
all(abs(r) <= 1)
.
Becker, R. A., Chambers, J. M. and Wilks, A. R. (1988) The New S Language. Wadsworth & Brooks/Cole.
cor
, cov
for covariance and correlation matrices
cor.test
for confidence intervals (and tests).
cov.wt
for weighted covariance computation.
sd
for standard deviation (vectors).
Var(1:10) # 9.166667
Var(1:5, 1:5) # 2.5
# weighted Variance
set.seed(45)
(z <- as.numeric(names(w <- table(x <- sample(-10:20, size=50, replace=TRUE)))))
Var(z, w=w)
# check!
all.equal(Var(x), Var(z, w=w))
# Variance for frequency tables
Var(Freq(as.table(c(6,16,24,25,17))),
breaks=c(0, 10, 20, 30, 40, 50))
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