rss.prop.test {generalRSS}R Documentation

RSS proportion test

Description

The rss.prop.test function performs the population proportion test on ranked set sample data, supporting both balanced and unbalanced RSS designs.

Usage

rss.prop.test(data, alpha = 0.05, alternative = "two.sided", p0)

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".

p0

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

Details

This function performs a proportion test on ranked set samples. It uses the method introduced by Chen et al. (2006), Zamanzade and Mahdizadeh (2020), and Ahn. et al. (2022) . Provide data as a data frame with columns rank and y. The function calculates the test statistic, confidence intervals, and p-value based on the RSS data.

Value

RSS_prop

The RSS proportion estimate.

CI

The confidence interval for the population proportion.

pstat

The test statistic for the proportion test.

p.value

The p-value for the test.

References

Chen, H., Stasny, E. A., & Wolfe, D. A. (2006). Unbalanced ranked set sampling for estimating a population proportion. Biometrics, 62(1), 150-158.

Zamanzade, E., & Mahdizadeh, M. (2020). Using ranked set sampling with extreme ranks in estimating the population proportion. Statistical methods in medical research, 29(1), 165-177.

Ahn, S., Wang, X., Wang, M., & Lim, J. (2022). On continuity correction for RSS-structured cluster randomized designs with binary outcomes. Metron, 80(3), 383-397.

See Also

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

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

Examples

## Unbalanced RSS with a set size 3 and different sample sizes of 12, 9, 6 for each stratum,
## with a population proportion of 0.6.
rss.prop.data=rss.prop.simulation(H=3,nsamp=c(12,9,6),p=0.6)

## RSS proportion test
rss.prop.test(data=rss.prop.data, alpha=0.05, alternative="two.sided", p0=0.2)


[Package generalRSS version 0.1.3 Index]