CalculateSimpleSampleSize {capm} R Documentation

## Simple random sample size

### Description

Calculates sample size to estimate a total from a simple sampling design.

### Usage

```CalculateSimpleSampleSize(x = NULL, N = NULL, conf.level = 0.95,
error = 0.1)
```

### Arguments

 `x` `vector` with variable collected in a pilot and to be estimated. If x is a scalar, it is used as the relative variance of the variable to be estimated (`((N - 1) / N * sd(x)^2) / mean(x)^2`). `N` `numeric` indicating the number of sampling units in the population. `conf.level` the confidence level required. It must be `numeric` between 0 and 1 inclusive. `error` the maximum relative difference between the estimate and the unknown population value. It must be `numeric` between 0 and 1 inclusive.

### Value

numeric sample size rounded up to nearest integer.

### References

Levy P and Lemeshow S (2008). Sampling of populations: methods and applications, Fourth edition. John Wiley and Sons, Inc.

### Examples

```# Using a pilot sample from a population with 10000 sampling units.
pilot <- rpois(50, 0.8)
CalculateSimpleSampleSize(x = pilot, N = 10000,
conf.level = 0.95, error = 0.1)

# Using expected mean and standard deviation for a population
# with 10000 sampling units.
mean_x <- mean(pilot)
sd_x <- sd(pilot)
N <- 10000
V <- ((N - 1) / N * sd_x^2) / mean_x^2
CalculateSimpleSampleSize(x = V, N = 10000, conf.level = 0.95, error = 0.1)

```

[Package capm version 0.14.0 Index]