rss.sign.test {generalRSS}R Documentation

RSS Sign test

Description

The rss.sign.test function performs Sign test on ranked set sample data, supporting both balanced and unbalanced RSS designs.

Usage

rss.sign.test(data, alpha = 0.05, alternative = "two.sided", median0)

Arguments

data

A numeric data frame of ranked set samples with columns rank for ranks and y for data values.

alpha

A numeric value specifying the confidence level for the interval.

alternative

A character string specifying the alternative hypothesis. Must be one of "two.sided" (default), "greater", or "less".

median0

A numeric value indicating the hypothesized median for the one-sample test.

Details

This function performs a one-sample sign test on ranked set samples. For balanced RSS (BRSS), it uses the method introduced by Hettmansperger (1995), while for unbalanced RSS (URSS), it follows the approach described by Barabesi (2001). Provide data as a data frame with columns rank and y. The function calculates the sign statistic, confidence intervals, and p-value based on the RSS data.

Value

RSS_median

The RSS median estimate.

sign

The sign-statistic for the test.

CI

The confidence interval for the population median.

z

The z-statistic for the test.

p.value

The p-value for the test.

References

T. P. Hettmansperger. (1995) The ranked-set sample sign test. Journal of Non-parametric Statistics, 4:263–270.

L. Barabesi. (2001) The unbalanced ranked-set sample sign test. Journal of Non-parametric Statistics, 13(2):279–289.

Chen, Z., Bai Z., Sinha B. K. (2003). Ranked Set Sampling: Theory and Application. New York: Springer.

S. Ahn, X. Wang, C. Moon, and J. Lim. (2024) New scheme of empirical likelihood method for ranked set sampling: Applications to two one sample problems. Internation Statistical Review.

See Also

rss.simulation: used for simulating Ranked Set Samples (RSS), which can serve as input.

rss.sampling: used for sampling Ranked Set Samples (RSS) from a population data set, providing input data.

Examples

## Unbalanced RSS with a set size 3 and different sample sizes of 12, 9, 6 for each stratum,
## using imperfect ranking from a lognormal distribution with a mean of 0.
rss.data=rss.simulation(H=3,nsamp=c(12,9,6),dist="lognorm", rho=0.8,delta=0)

## RSS sign-test
rss.sign.test(data=rss.data, alpha=0.05, alternative="two.sided", median0=0)


[Package generalRSS version 0.1.3 Index]