Umoments (version 1.0.1)

uM2pool: Pooled central moment estimates - two-sample

Description

Calculate pooled unbiased estimates of central moments and their powers and products.

Usage

uM2pool(m2, n_x, n_y)

Value

Pooled variance estimate.

Arguments

m2

naive biased variance estimate \(m_2 = 1/(n_x + n_y) \sum_{i = 1}^{n_x} ((X_i - \bar{X})^2 + \sum_{i = 1}^{n_y} ((Y_i - \bar{Y})^2\) for vectors X and Y.

n_x

number of observations in the first group.

n_y

number of observations in the second group.

See Also

Other pooled estimates (two-sample): uM2M3pool(), uM2M4pool(), uM2pow2pool(), uM2pow3pool(), uM3pool(), uM3pow2pool(), uM4pool(), uM5pool(), uM6pool()

Examples

nx <- 10
ny <- 8
shp <- 3
smpx <- rgamma(nx, shape = shp) - shp
smpy <- rgamma(ny, shape = shp)
m2 <- mean(c((smpx - mean(smpx))^2, (smpy - mean(smpy))^2))
uM2pool(m2, nx, ny)