Sample size requirements for estimating pearson, kendall and spearman correlations

Bonett, Douglas G.; Wright, Thomas A.

doi:10.1007/bf02294183

Cited by 757 publications

(533 citation statements)

References 23 publications

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“…24 To determine knowngroups validity, we compared the function PROMs across three subgroups of working status with a one-way ANOVA and Tukey's test post hoc. 18 A significant difference indicated that a measure could differentiate across known groups of working status.…”

Section: Reliabilitymentioning

confidence: 99%

Reliability and Validity of Two Versions of the Upper Extremity Functional Index

Chesworth

Hamilton²,

Walton³

et al. 2014

Physiotherapy Canada

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Purpose: To examine the reliability, validity, and sensitivity to change of the 20-item version and the Rasch-refined 15-item version of the Upper Extremity Functional Index (UEFI-20 and UEFI-15, respectively) and to determine the impact of arm dominance on the positive minimal clinically important difference (pMCID). Methods: Adults with upper-extremity (UE) dysfunction completed the UEFI-20, Upper Extremity Functional Scale (UEFS), Pain Limitation Scale, and Pain Intensity Scale at their initial physiotherapy assessment (Time 1); 24-48 hours later (Time 2); and 3 weeks into treatment or at discharge, whichever came first (Time 3). Demographics, including working status, were obtained at Time 1. Global ratings of change (GRC) were provided by the treating physiotherapist and patient at Time 3. The UEFI-15 was calculated from relevant items in the UEFI-20. The intra-class correlation coefficient (ICC) and minimal detectable change (MDC) quantified test-retest reliability (Time 1-Time 2). Cross-sectional convergent validity was determined by the association (Pearson's r) between Time 1 measures of function and pain. Known-groups validity was evaluated with a one-way ANOVA across three levels of working status. Longitudinal validity was determined by the association (Pearson's r) between function and pain change scores (Time 1-Time 3). Receiver operating characteristic (ROC) curves estimated the pMCID using Time 1-Time 3 change scores and average patient/therapist GRC. Results: Reliability for the UEFI-20 and UEFI-15 was the same (ICC ¼ 0.94 for both measures). MDC values were 9.4/80 for the UEFI-20 and 8.8/100 for the UEFI-15. Crosssectional, known-groups, and longitudinal validity were confirmed for both UEFI measures. pMCID values were 8/80 for the UEFI-20 and 6.7/100 for the UEFI-15; pMCID was higher for people whose non-dominant arm was affected. Conclusions: Both UEFI measures show acceptable reliability and validity. Arm dominance affects pMCID. The UEFI-15 is recommended because it measures only one dimension: UE function.

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Section: Reliabilitymentioning

confidence: 99%

Reliability and Validity of Two Versions of the Upper Extremity Functional Index

Chesworth

Hamilton²,

Walton³

et al. 2014

Physiotherapy Canada

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“…It is surprising, however, that in more recent literature not much attention is given to the asymptotic variances of nonparametric correlation estimators. In Bonett and Wright (2000), for example, confidence intervals for the Spearman and Kendall correlation are constructed using approximations of the asymptotic variances, while Proposition 4 provides the closed form expressions. Most complicated is the expression for ASV(R S , Φ ρ ), requiring numerical integration of univariate integrals.…”

Section: Propositionmentioning

confidence: 99%

Influence functions of the Spearman and Kendall correlation measures

Croux

Dehon²

2010

Stat Methods Appl

454

202

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Nonparametric correlation estimators as the Kendall and Spearman correlation are widely used in the applied sciences. They are often said to be robust, in the sense of being resistant to outlying observations. In this paper we formally study their robustness by means of their influence functions and gross-error sensitivities. Since robustness of an estimator often comes at the price of an increased variance, we also compute statistical efficiencies at the normal model. We conclude that both the Spearman and Kendall correlation estimators combine a bounded and smooth influence function with a high efficiency. In a simulation experiment we compare these nonparametric estimators with correlations based on a robust covariance matrix estimator.

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“…Using Wilson-θ method to calculate the multi degree of freedom shear type nonlinear seismic response, the interstory force displaement for a 3-story building is shown in Figure 2. Spearman rank correlation coefficient (SRCC)is used to study relation of the ground motion parameters and average earthquake damage index, as given by Equation 3 [8] ( The SRCCs for ground motion parameters and damge index are shown in Figure 3, for brevity only the results for PGA, PGV, PSA and Si h are shown here. It can be seen from Figure 3 and SRCCs results that the ten ground motion parameters have some correlations with the average damage index of masonry structure, and the SRCCs values for Type B masonry structure are all larger than 0.7, and larger than 0.66 for Type C buildings.…”

Section: Resultsmentioning

confidence: 99%

Study on the relation between ground motion parameters and simulated earthquake damage of simplified masonry structures

Tao¹,

Cai²

2018

Proceedings of the 2017 3rd International Forum on Energy, Environment Science and Materials (IFEESM 2017)

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Choosing proper earthquake ground motion parameters is important to establish a relation between strong ground motion and the earthquake damage. In this paper the statistical relationship between ten ground motion parameters and simulated mean earthquake damage indices of simplified masonry structures is investigated. The ten parameters to be used include time domain peaks and mean values, frequency domain peaks, time durations. Based on the field investigation on the structural earthquake damage conducted in Deayang City, Guanyuan City, Jiange County and Jiangyou City, simplied masonary structures group are generated with main controlling parameters as ratio of different number of stories, ratio of earthquake resist design. To simulate the earthquake damage of masonary structures under strong ground motion, simplied shear type model of masonary structures are used, with main controlling parameters as initial stiffness, first nonlinear stiffness, second nonlinear stiffness, yielding stress, ultimate stress. Using the 139 sets of strong ground motion in 12 earthquakes and thousands of simplied masonary structures, it is found that It is found that effective peak acceleration and peak ground acceleration which indicate the characteristics of force to structure have good relationship with damage of masonry structure, and the story number of masonry structure directly affects the strength of correlation between ground motion parameters and damage of masonry structure.

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Sample size requirements for estimating pearson, kendall and spearman correlations

Abstract: sample size, interval estimation, correlation, rank correlation,

Cited by 757 publications

References 23 publications

Reliability and Validity of Two Versions of the Upper Extremity Functional Index

Reliability and Validity of Two Versions of the Upper Extremity Functional Index

Influence functions of the Spearman and Kendall correlation measures

Study on the relation between ground motion parameters and simulated earthquake damage of simplified masonry structures

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