samplingR (version 1.0.1)

syst.estimator: Parameter estimation on a systematic sample

Description

Parameter estimation on a systematic sample

Usage

syst.estimator(
  N,
  sample,
  estimator = c("total", "mean", "proportion", "class total"),
  method = c("srs", "strata", "syst"),
  alpha,
  data,
  t
)

Value

A list containing different interest values:

• estimator

• variance

• sampling.error

• estimation.error

• confint

Arguments

N

Population size

sample

Vector containing the systematic sample

estimator

Estimator to compute. Can be one of "total", "mean", "proportion", "class total". Default is "total".

method

Method of variance estimation. Can be one of "srs", "strata", "syst".

alpha

Optional value to calculate estimation error and build 1-alpha confidence interval.

data

Population data.

t

Number of systematic samples to take with interpenetrating samples method.

Details

Variance estimation has no direct formula in systematic sampling, thus estimation method must be done. Refer to syst.intracorr and syst.intercorr functions details for more information.
"syst" method uses interpenetrating samples method in which t systematic samples of size=\(\frac{n}{t}\) are taken to estimate. \(\frac{n}{t}\) must be even.
By choosing the start at random for all the samples they can be considered random taken. With this method population data and t must be given.

Examples

data<-c(1,3,5,2,4,6,2,7,3)
sample<-syst.sample(9, 3, data)
syst.estimator(N=9, sample, "mean", "srs", 0.05)