chao1984: Lower-bound estimator for species richness

In SPECIES: Statistical Package for Species Richness Estimation

Lower-bound estimator for species richness

Description

This function calculates the lower-bound estimator by Chao 1984.

Usage

       chao1984(n,conf=0.95)

Arguments

n	a matrix or a numerical data frame of two columns. It is also called the “frequency of frequencies” data in literature. The first column is the frequency j=1, 2\ldots; and the second column is n_j, the number of species observed with j individuals in the sample.
conf	a positive number \le 1. conf specifies the confidence level for confidence interval. The default is 0.95.

Value

The function chao1984 returns a list of: Nhat, SE and CI.

Nhat	point estimate.
SE	standard error of the point estimate.
CI	confidence interval using a log transformation explained in Chao 1987.

Author(s)

Ji-Ping Wang, Department of Statistics, Northwestern University

References

Chao, A. (1984), Nonparametric Estimation of the Number of Classes in a Population, Scandinavian Journal of Statistics, 11, 265-270.

Chao, A. (1987). Estimating the population size for capture-recapture data with unequal catchability. Biometrics 43, 783-791.

Examples

library(SPECIES)

##load data from the package, 
## \dQuote{butterfly}is the famous butterfly data by Fisher 1943.

data(butterfly)
chao1984(butterfly)

SPECIES documentation built on Aug. 21, 2023, 1:07 a.m.