Title: Testing the Equality of Two Means Using RSS and MRSS
Version: 1.0
Description: Testing the equality of two means using Ranked Set Sampling and Median Ranked Set Sampling are provided under normal distribution. Data generation functions are also given RSS and MRSS. Also, data generation functions are given under imperfect ranking data for Ranked Set Sampling and Median Ranked Set Sampling. Ozdemir Y.A., Ebegil M., & Gokpinar F. (2019), <doi:10.1007/s40995-018-0558-0> Ozdemir Y.A., Ebegil M., & Gokpinar F. (2017), <doi:10.1080/03610918.2016.1263736>.
License: GPL-2
Depends: R (≥ 3.5.0), huxtable (≥ 5.4.0)
Imports: stats, graphics
Encoding: UTF-8
LazyData: True
RoxygenNote: 7.2.3
NeedsCompilation: no
Packaged: 2023-02-23 11:59:05 UTC; macbook
Author: Fikri Gökpınar ORCID iD [aut, cre], Meral Ebegil ORCID iD [aut], Yaprak Arzu Özdemir ORCID iD [aut], Esra Gökpınar ORCID iD [aut]
Maintainer: Fikri Gökpınar <fikri@gazi.edu.tr>
Repository: CRAN
Date/Publication: 2023-02-24 10:30:11 UTC

CVT Data

Description

CVT Data

Usage

data(CVT)

Format

A dataframe with 167 rows 6 variables

r1

otolith length

otolith.width

otolith width

otolith.weight

otolith weight

fish.length

fish lenght

fish.weight

fish weight

age

age

sex

sex

Examples

 data("CVT")

Median Ranked Set Sampling Data Generation

Description

This function generates random samples from normal population using Median ranked set sampling with mean \mu and standard deviation \sigma using cycle size r and set size m.

Usage

datagen_MRSS(mu, s, m, r)

Arguments

mu

: Normal population mean \mu

s

: Normal population standard deviation \sigma

m

: Set size

r

: Cycle size

Value

A sample matrix with size rxm generated from normal distribution using Median ranked set sampling. Each row indicates a cycle.

References

MacEachern, S. N., Öztürk, Ö., Wolfe, A. D. (2002). A new ranked set sample estimator of variance. Journal of the Royal Statistical Society: Series B., 64, Part 2 177–188.

Özturk, Ö., Balakrishnan N (2009) Exact two-sample nonparametric test for quantile difference between two populations based on ranked set samples. Ann Inst Stat Math 61(1):235–249

Özdemir, Y. A., Ebegil, M., & Gökpinar, F. (2017). A test statistic based on ranked set sampling for two normal means. Communications in Statistics-Simulation and Computation, 46(10), 8077-8085.

Özdemir, Y. A., Ebegil, M., & Gökpinar, F. (2019). A test statistic for two normal means with median ranked set sampling. Iranian Journal of Science and Technology, Transactions A: Science, 43(3), 1109-1126.

See Also

datagen_RSS, teststat_RSS teststat_MRSS

Examples

datagen_MRSS(0,1,2,3)

Ranked Set Sampling Data Generation

Description

This function generates random samples from normal population using ranked set sampling with mean \mu and standard deviation \sigma using cycle size r and set size m.

Usage

datagen_RSS(mu, s, m, r)

Arguments

mu

: Normal population mean \mu

s

: Normal population standard deviation \sigma

m

: Set size

r

: Cycle size

Value

A sample matrix with size rxm generated from normal distribution using ranked set sampling. Each row indicates a cycle.

References

MacEachern, S. N., Öztürk, Ö., Wolfe, A. D. (2002). A new ranked set sample estimator of variance. Journal of the Royal Statistical Society: Series B., 64, Part 2 177–188.

Özturk, Ö., Balakrishnan N (2009) Exact two-sample nonparametric test for quantile difference between two populations based on ranked set samples. Ann Inst Stat Math 61(1):235–249

Özdemir, Y. A., Ebegil, M., & Gökpinar, F. (2017). A test statistic based on ranked set sampling for two normal means. Communications in Statistics-Simulation and Computation, 46(10), 8077-8085.

Özdemir, Y. A., Ebegil, M., & Gökpinar, F. (2019). A test statistic for two normal means with median ranked set sampling. Iranian Journal of Science and Technology, Transactions A: Science, 43(3), 1109-1126.

See Also

datagen_MRSS, teststat_RSS teststat_MRSS

Examples

datagen_RSS(0,1,2,3)

Imperfect Median Ranked Set Sampling Data Generation from Finite Population

Description

This function chooses Median Ranked Set samples from specific finite population using auxiliary variable with cycle sizes r1 and r2 and set sizes m1 and m2.

Usage

imperfectMRSS(df, cat, catname, aux, var, r1, r2, m1, m2)

Arguments

df

: dataframe of the finite population

cat

: the indicator variable that shows the group of units

catname

: the group names

aux

: auxilary variable

var

: variable of interest

r1

: Cycle size of first group

r2

: Cycle size of second group

m1

: Set size of first group

m2

: Set size of second group

Value

two median ranked set sample matrix with sizes r1xm1 and r2xm2 from finite population. Each row indicates a cycle.

References

MacEachern, S. N., Öztürk, Ö., Wolfe, A. D. (2002). A new ranked set sample estimator of variance. Journal of the Royal Statistical Society: Series B., 64, Part 2 177–188.

Özturk, Ö., Balakrishnan N (2009) Exact two-sample nonparametric test for quantile difference between two populations based on ranked set samples. Ann Inst Stat Math 61(1):235–249

Özdemir, Y. A., Ebegil, M., & Gökpinar, F. (2017). A test statistic based on ranked set sampling for two normal means. Communications in Statistics-Simulation and Computation, 46(10), 8077-8085.

Özdemir, Y. A., Ebegil, M., & Gökpinar, F. (2019). A test statistic for two normal means with median ranked set sampling. Iranian Journal of Science and Technology, Transactions A: Science, 43(3), 1109-1126.

See Also

datagen_RSS, teststat_RSS teststat_MRSS,imperfectRSS

Examples

data(otolith)
imperfectMRSS(otolith,"sex",c("F","M"),"fish.length","age",3,3,4,3)

Imperfect Ranked Set Sampling Data Generation from Finite Population

Description

This function chooses Ranked Set samples from specific finite population using auxiliary variable with cycle sizes r1 and r2 and set sizes m1 and m2.

Usage

imperfectRSS(df, cat, catname, aux, var, r1, r2, m1, m2)

Arguments

df

: dataframe of the finite population

cat

: the indicator variable that shows the group of units

catname

: the group names

aux

: auxilary variable

var

: variable of interest

r1

: Cycle size of first group

r2

: Cycle size of second group

m1

: Set size of first group

m2

: Set size of second group

Value

two ranked set sample matrix with sizes r1xm1 and r2xm2 from finite population. Each row indicates a cycle.

References

MacEachern, S. N., Öztürk, Ö., Wolfe, A. D. (2002). A new ranked set sample estimator of variance. Journal of the Royal Statistical Society: Series B., 64, Part 2 177–188.

Özturk, Ö., Balakrishnan N (2009) Exact two-sample nonparametric test for quantile difference between two populations based on ranked set samples. Ann Inst Stat Math 61(1):235–249

Özdemir, Y. A., Ebegil, M., & Gökpinar, F. (2017). A test statistic based on ranked set sampling for two normal means. Communications in Statistics-Simulation and Computation, 46(10), 8077-8085.

Özdemir, Y. A., Ebegil, M., & Gökpinar, F. (2019). A test statistic for two normal means with median ranked set sampling. Iranian Journal of Science and Technology, Transactions A: Science, 43(3), 1109-1126.

See Also

datagen_RSS, teststat_RSS teststat_MRSS, imperfectMRSS

Examples

data(otolith)
imperfectRSS(otolith,"sex",c("F","M"),"fish.length","age",3,3,4,3)

Otolith Data

Description

The data related to otolith bone of fishes was collected from Elazığ Keban Dam Lake (November 2011-December 2012), which was a part of the data by given Doğan and Şen(2017). The data containing otolith length, otolith width, otolith weight, fish length, fish width, age and sex.

Usage

data(otolith)

Format

A dataframe with 167 rows 6 variables

otolith.length

otolith length

otolith.width

otolith width

otolith.weight

otolith weight

fish.length

fish lenght

fish.weight

fish weight

age

age

sex

sex

Source

Doğan Y. Şen D., Otolith Biometry-Fish Lenth Relationship in Capoeta trutta Inhabiting Keban Dam Lake

Examples

 data("otolith")

Median Ranked Set Sampling Test

Description

This function tests for the difference of two population means using ranked set sampling given in Özdemir, Ebegil and Gökpınar (2019).

Usage

teststat_MRSS(
  x1,
  x2,
  alpha = 0.05,
  alternative = "two-tailed",
  tn = 2000,
  table = TRUE
)

Arguments

x1

A (non-empty) numeric matrix (m1xr1) of median ranked set sample for Group 1 with set size m1 and cycle size r1.

x2

A (non-empty) numeric matrix (m2xr2) of median ranked set sample for Group 2 with set size m2 and cycle size r2.

alpha

A scalar value of the significance level for hypothesis testing used in the table. Default is 0.05.

alternative

A character string specifying the alternative hypothesis, must be one of "two-sided", "right" or "left". Can be abbreviated. Default is "two-sided".

tn

A scalar value of the number of repetitions of Monte Carlo simulation. Default is 2000.

table

A logical value that shows table gives the results of the hypothesis test are printed out. Default is TRUE.

Value

If table is TRUE the hypothesis test results table includes sample sizes, test statistics, p values and test results are printed out.

References

MacEachern, S. N., Öztürk, Ö., Wolfe, A. D. (2002). A new ranked set sample estimator of variance. Journal of the Royal Statistical Society: Series B., 64, Part 2 177–188.

Özturk, Ö., Balakrishnan N (2009) Exact two-sample nonparametric test for quantile difference between two populations based on ranked set samples. Ann Inst Stat Math 61(1):235–249

Özdemir, Y. A., Ebegil, M., & Gökpinar, F. (2017). A test statistic based on ranked set sampling for two normal means. Communications in Statistics-Simulation and Computation, 46(10), 8077-8085.

Özdemir, Y. A., Ebegil, M., & Gökpinar, F. (2019). A test statistic for two normal means with median ranked set sampling. Iranian Journal of Science and Technology, Transactions A: Science, 43(3), 1109-1126.

See Also

datagen_MRSS, datagen_RSS, teststat_RSS

Examples

x1=matrix(c(1,2.3, 3.4,4.5,5.6,4 ),nrow=3)
x2=matrix(c(2,3.2, 4.2,6.5,4.6,6 ),nrow=3)
teststat_MRSS(x1,x2,tn=1000)

Ranked Set Sampling Test

Description

This function tests for the difference of two population means using ranked set sampling given in Özdemir, Ebegil and Gökpınar (2017).

Usage

teststat_RSS(x1, x2, alpha = 0.05, alternative = "two-tailed", table = TRUE)

Arguments

x1

A (non-empty) numeric matrix (m1xr1) of ranked set sample for Group 1 with set size m1 and cycle size r1.

x2

A (non-empty) numeric matrix (m2xr2) of ranked set sample for Group 2 with set size m2 and cycle size r2.

alpha

A scalar value of the significance level for hypothesis testing used in the table. Default is 0.05.

alternative

A character string specifying the alternative hypothesis, must be one of "two-sided", "right" or "left". Can be abbreviated. Default is "two-sided".

table

A logical value that shows table gives the results of the hypothesis test are printed out. Default is TRUE.

Value

If table is TRUE the hypothesis test results table includes sample sizes, test statistics, critical values and test results are printed out.

References

MacEachern, S. N., Öztürk, Ö., Wolfe, A. D. (2002). A new ranked set sample estimator of variance. Journal of the Royal Statistical Society: Series B., 64, Part 2 177–188.

Özturk, Ö., Balakrishnan N (2009) Exact two-sample nonparametric test for quantile difference between two populations based on ranked set samples. Ann Inst Stat Math 61(1):235–249

Özdemir, Y. A., Ebegil, M., & Gökpinar, F. (2017). A test statistic based on ranked set sampling for two normal means. Communications in Statistics-Simulation and Computation, 46(10), 8077-8085.

Özdemir, Y. A., Ebegil, M., & Gökpinar, F. (2019). A test statistic for two normal means with median ranked set sampling. Iranian Journal of Science and Technology, Transactions A: Science, 43(3), 1109-1126.

@seealso datagen_MRSS, datagen_RSS, teststat_MRSS

Examples

x1=matrix(c(1,2.3, 3.4,4.5,5.6,4 ),nrow=3)
x2=matrix(c(2,3.2, 4.2,6.5,4.6,6 ),nrow=3)
teststat_RSS(x1,x2)