Bivariate Sign Test for One-Sample Bivariate Location Model Using Ranked Set Sample

Samawi, Hani M.; Al-Saleh, Mohammad Fraiwan; Al-Saidy, Obaid

doi:10.1080/03610920600579929

Cited by 7 publications

(5 citation statements)

References 27 publications

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“…Larocque et al 10 introduced an affine-invariant modification of the Wilcoxon signed-rank test for bivariate location problems. The advantage of this test over Jan and Randles 11 test is that its asymptotic null distribution holds without assuming elliptical symmetry. Samawi 12 introduced a bivariate sign test for the one-sample bivariate location problem using a bivariate ranked set sample.…”

Section: Introductionmentioning

confidence: 99%

A new approach for approximating the p-value of a class of bivariate sign tests

Shanan,

Abd-Elfattah,

Abd El-Raheem

2023

Sci Rep

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Bivariate data are frequently encountered in many applied fields, including econometrics, engineering, physiology, biology, and medicine. For bivariate analysis, a wide range of non-parametric and parametric techniques can be applied. There are fewer requirements needed for non-parametric procedures than for parametric ones. In this paper, the saddlepoint approximation method is used to approximate the exact p-values of some non-parametric bivariate tests. The saddlepoint approximation is an approximation method used to approximate the mass or density function and the cumulative distribution function of a random variable based on its moment generating function. The saddlepoint approximation method is proposed in this article as an alternative to the asymptotic normal approximation. A comparison between the proposed method and the normal asymptotic approximation method is performed by conducting Monte Carlo simulation study and analyzing three numerical examples representing bivariate real data sets. In general, the results of the simulation study show the superiority of the proposed method over the asymptotic normal approximation method.

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Section: Introductionmentioning

confidence: 99%

A new approach for approximating the p-value of a class of bivariate sign tests

Shanan,

Abd-Elfattah,

Abd El-Raheem

2023

Sci Rep

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“…Similar to Hettmansperger [11] and Samawi et al [30], based on Le Cam's third lemma [10, page 208], we derive the limiting distribution of (1/ √ nS T along a sequence of alternatives, θ n = θ / √ n, converging to 0 when using ABVRSS. Note that E θ…”

Section: Asymptotic Relative Pitman Efficiencymentioning

confidence: 92%

“…Note that Samawi et al's [30] BVRSS sign test is just a special case when J s = J (J ABVRSS ) . In this paper, we consider only the symmetric AVRSS designs which provide that E(S T ) = 0.…”

Section: Sign Test Using An Alternative Bvrssmentioning

confidence: 97%

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An optimal sign test for one-sample bivariate location model using an alternative bivariate ranked-set sample

Samawi

Ebrahem

Al-Zubaidin

2010

Journal of Applied Statistics

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The aim of this paper is to find an optimal alternative bivariate ranked-set sample for one-sample location model bivariate sign test. Our numerical and theoretical results indicated that the optimal designs for the bivariate sign test are the alternative designs with quantifying order statistics with labels {((r+1)/2, (r+1)/2)}, when the set size r is odd and {(r/2+1, r/2), (r/2, r/2+1)} when the set size r is even. The asymptotic distribution and Pitman efficiencies of these designs are derived. A simulation study is conducted to investigate the power of the proposed optimal designs. Illustration using real data with the Bootstrap algorithm for P-value estimation is used.bivariate ranked-set sample, location model, median ranked-set sample, Pitman efficiencies, ranked-set sample, simple random sample, sign test,

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“…Other authors have used the RSS sampling method to improve parametric and nonparametric statistical inference. For nonparametric methods, RSS was considered by [12][13][14][15] and [16]. Koti and Babu [17] showed that the RSS sign test it provides is a more powerful test than the SRS sign test.…”

Section: Introductionmentioning

confidence: 99%