scholarly journals COMPATIBILITY AND ATTAINABILITY OF MATRICES OF CORRELATION-BASED MEASURES OF CONCORDANCE

2019 ◽  
Vol 49 (03) ◽  
pp. 885-918
Author(s):  
Marius Hofert ◽  
Takaaki Koike

AbstractMeasures of concordance have been widely used in insurance and risk management to summarize nonlinear dependence among risks modeled by random variables, which Pearson’s correlation coefficient cannot capture. However, popular measures of concordance, such as Spearman’s rho and Blomqvist’s beta, appear as classical correlations of transformed random variables. We characterize a whole class of such concordance measures arising from correlations of transformed random variables, which includes Spearman’s rho, Blomqvist’s beta and van der Waerden’s coefficient as special cases. Compatibility and attainability of square matrices with entries given by such measures are studied—that is, whether a given square matrix of such measures of concordance can be realized for some random vector and how such a random vector can be constructed. Compatibility and attainability of block matrices and hierarchical matrices are also studied due to their practical importance in insurance and risk management. In particular, a subclass of attainable block Spearman’s rho matrices is proposed to compensate for the drawback that Spearman’s rho matrices are in general not attainable for dimensions larger than three. Another result concerns a novel analytical form of the Cholesky factor of block matrices which allows one, for example, to construct random vectors with given block matrices of van der Waerden’s coefficient.

2004 ◽  
Vol 2004 (70) ◽  
pp. 3867-3875 ◽  
Author(s):  
H. H. Edwards ◽  
P. Mikusiński ◽  
M. D. Taylor

A continuous random vector(X,Y)uniquely determines a copulaC:[0,1]2→[0,1]such that when the distribution functions ofXandYare properly composed intoC, the joint distribution function of(X,Y)results. A copula is said to beD4-invariant if its mass distribution is invariant with respect to the symmetries of the unit square. AD4-invariant copula leads naturally to a family of measures of concordance having a particular form, and all copulas generating this family areD4-invariant. The construction examined here includes Spearman’s rho and Gini’s measure of association as special cases.


2016 ◽  
Vol 4 (1) ◽  
Author(s):  
Sebastian Fuchs

AbstractWe study the integration of a copula with respect to the probability measure generated by another copula. To this end, we consider the map [. , .] : C × C → R given bywhere C denotes the collection of all d–dimensional copulas and QD denotes the probability measures associated with the copula D. Specifically, this is of interest since several measures of concordance such as Kendall’s tau, Spearman’s rho and Gini’s gamma can be expressed in terms of the map [. , .]. Quite generally, the map [. , .] can be applied to construct and investigate measures of concordance.


2016 ◽  
Vol 4 (1) ◽  
Author(s):  
Sebastian Fuchs

AbstractWe study measures of concordance for multivariate copulas and copulas that induce measures of concordance. To this end, for a copula A, we consider the maps C → R given bywhere C denotes the collection of all d–dimensional copulas, M is the Fréchet–Hoeffding upper bound, Π is the product copula, [. , .] : C × C → R is the biconvex form given by [C, D] := ∫ [0,1]d C(u) dQD(u) with the probability measure QD associated with the copula D, and ψΛ C → C is a transformation of copulas. We present conditions on ψΛ and on A under which these maps are measures of concordance. The resulting class of measures of concordance is rich and includes the well–known examples Spearman’s rho and Gini’s gamma.


2021 ◽  
Vol 80 (Suppl 1) ◽  
pp. 525.1-525
Author(s):  
S. Tsiami ◽  
E. Ntasiou ◽  
C. Krogias ◽  
R. Gold ◽  
J. Braun ◽  
...  

Background:Carpal tunnel syndrome (CTS) is the most common nerve compression syndrome and a common extra-articular manifestation of rheumatoid arthritis (RA). Different causes of CTS are known, among them inflammatory and non-inflammatory pathologies. Electroneurography (ENG) of the median nerve, the method of choice to diagnose CTS, measures impairment of nerve conduction velocity without explaining its underlying cause. However, because the electrical stimulation is often not well tolerated, ENG results may come out inconclusive. Using greyscale ultrasonography (GS-US) provides anatomic information including a structural representation of the carpal tunnel.Objectives:To investigate the performance of nerve GS-US in the diagnosis of CTS in patients with RA.Methods:Consecutive patients with active RA under suspicion of CTS presenting to a large rheumatologic center were included. Both hands were examined by an experienced neurologist including ENG and a GS-US (ML linear probe with 6-15 Hz) of the median nerve. An established grading system for ENG (1), and an established system for GS-US based on cut-offs for the nerve cross sectional area (CSA) [mild: 0,11-0,13cm2, moderate: 0,14-0,15 cm2, severe: > 0,15 cm2 CTS (2)] were used. In addition, the Boston Carpal Tunnel Syndrome Questionnaire (BCTSQ) was used to assess CTS symptoms (3).Results:Both hands of 58 patients with active RA (n=116) and clinical suspicion of CTS (in 38 cases bilaterally) were included. After clinical examination, CTS was suspicious in 96 hands (82.8%), and 59 of all hands had a final diagnosis of CTS (50.9%). Of the latter, 43 hands (72.9%) had a positive ENG and 16 (27.1%) a positive GS-US finding only, while 30 hands (50.8%) were positive in both examinations.There was a good correlation of the cross-sectional area (CSA) as well as the CSA-ratio to the ENG findings: the larger the CSA, the more severe was the CTS as assessed by ENG (Spearman’s rho=0.554; p<0.001). The more severe the GS-US findings of CTS were, the more definite were the distal motor latency (Spearman’s rho=0.554; p<0.001) and sensible nerve conduction velocity of the median nerve (Spearman’s rho=-0.5411; p<0.001).In the 46 hands positive in GS-US, tenosynovial hypertrophy of the flexor tendons was detected in 19 hands (41.3%), 7 of which (36.8%) also showed an additional cystic mass. In these 19 patients, clinical complains were more severely present than in patients with non-inflammatory CTS, as assessed by the BCTSQ with a total score of 68.8±13.4 vs. 59.3±13.7, respectively (p=0.007).Conclusion:In patients with active RA and clinical complains of CTS, ultrasound examinations provide additional information about inflammation which is helpful for a diagnosis of CTS. Thus, ENG and nerve GS-US should be used complementary for a diagnostic workup of CTS in RA patients with a suspicion of CTS. Power-Doppler may further improve the diagnostic performance of GS-US.References:[1]Padua L et al. Acta Neurol Scand 1997; 96:211–217[2]El Miedany et al., Rheumatology (Oxford). 2004 Jul; 43(7):887-895[3]Levine DW et al. J Bone Joint Surg Am 1993; 75: 1585-1592Figure 1.BCTSQ scores in patients with diagnosis of CTS and absence or presence of RA-related tenosynovial hypertrophyDisclosure of Interests:None declared


Author(s):  
Qiaoyong Liu ◽  
Yiqian Jiang ◽  
Lijun Shen ◽  
Jiming Zhu

AbstractObjectiveTo investigate the thyroid volume (Tvol) and to explore factors that affects it among 12 to 15-year-olds attending a rural middle school in east Hangzhou, China.MethodsA cross-sectional survey of middle school students attending a rural middle school in east Hangzhou, China was conducted. Height, weight and other physical development related indicators in middle school students were measured. The thyroid size was measured using ultrasound, and the thyroid volume calculated.ResultsThe median (P25, P75) of the thyroid volume in 596 middle school students from a rural middle school in east Hangzhou, China was 6.69 (5.66, 7.98) mL. Our study enrolled 305 male students (51.2%) and 291 female students (48.8%). The height, weight and thyroid volume of middle school students increased with age. Univariate analysis revealed that height, weight, body mass index (BMI) and body surface area (BSA) were positive correlated with thyroid volume (p<0.01).The correlation between BSA and thyroid volume was significant (Spearman’s rho=0.473, p<0.01). Multiple linear regression analysis revealed that BSA was positive and significantly correlated with the thyroid volume (p<0.05). Regression equation was Y=−2.532 + 6.186×BSA.ConclusionThe thyroid volume is not only affected by age, but it is also affected by growth and development. Goiter cannot only be assessed based on age, gender and thyroid volume. However, this study established that BSA not only presented the strongest correlation with thyroid volume (Spearman’s rho=0.473), but also had a strong correlation with physical development, taking into account the growth and development of middle school students, and showed greater stability. Therefore, we recommend inclusion of BSA as a reference standard in the measurement of the thyroid volume.


Vascular ◽  
2021 ◽  
pp. 170853812098630
Author(s):  
Dobroslav Kyurkchiev ◽  
Tsvetelina Yoneva ◽  
Adelina Yordanova ◽  
Ekaterina Kurteva ◽  
Georgi Vasilev ◽  
...  

Background Granulomatosis with polyangiitis (GPA) is a representative of vasculitides associated with anti-neutrophil cytoplasmic autoantibodies. “Classical” antibodies directed against proteinase 3 are involved in the pathogenesis and are part of the GPA diagnosis at the same time. Along with them, however, antibodies against Lysosomal-Associated Membrane Protein-2 (LAMP-2) and antibodies directed against plasminogen have been described in GPA. Objectives and methodology: We performed a cross-sectional study enrolling 34 patients diagnosed with GPA. Our study was aimed at looking for correlations between serum levels of LAMP-2 and plasminogen and the clinical manifestations of the GPA. Furthermore, we examined serum levels of tumor necrosis factor-alpha (TNF-α) and its associated indoleamine-pyrrole 2,3-dioxygenase (IDO), as well as we looked for a correlation between these cytokines and the clinical manifestations of GPA. Results The results showed that in GPA, serum plasminogen levels were negatively associated with renal involvement (receiver operating characteristic (ROC) area under the curve (AUC) of 0.78) (95% CI 0.53–0.91), p = 0.035, and the extent of proteinuria, Spearman’s Rho = –0.4, p = 0.015. Increased levels of TNF-α and IDO correlated with disease activity, Spearman’s Rho =0.62, p = 0.001 and Spearman’s Rho = 0.4, p = 0.022, respectively, whereas only TNF-α was increased in severe forms of GPA with lung involvement (ROC AUC of 0.8) (95% CI 0.66–0.94), p = 0.005. Conclusions In this study, we demonstrate the alteration of soluble factors, which play an important role in the pathogenesis of GPA and their relationship with the clinical manifestations of the disease. Our main results confirm the associations of increased secretory TNF-α and some clinical manifestations, and we describe for the first time decreased serum plasminogen levels and their association with renal involvement.


2020 ◽  
Vol 4 (1) ◽  
Author(s):  
Janine Verstraete ◽  
Lebogang Ramma ◽  
Jennifer Jelsma

Abstract Background Despite the high burden of disease in younger children there are few tools specifically designed to estimate Health Related Quality of Life (HRQoL) in children younger than 3 years of age. A previous paper described the process of identifying a pool of items which might be suitable for measuring HRQoL of children aged 0–3 years. The current paper describes how the items were pruned and the final draft of the measure, Toddler and Infant (TANDI) Health Related Quality of Life, was tested for validity and reliability. Methods A sample of 187 caregivers of children 1–36 months of age were recruited which included children who were either acutely ill (AI), chronically ill (CI) or from the general school going population (GP). The TANDI, an experimental version of the EQ-5D-Y proxy, included six dimensions with three levels of report and general health measured on a Visual Analogue Scale (VAS) from 0 to 100. The content validity had been established during the development of the instrument. The TANDI, Ages and Stages Questionnaire (ASQ), Faces, Leg, Activity, Cry, Consolabilty (FLACC) or Neonatal Infant Pain Scale (NIPS) and a self-designed dietary information questionnaire were administered at baseline. The TANDI was administered 1 week later in GP children to establish test-retest reliability. The distribution of dimension scores, Cronbach’s alpha, rotated varimax factor analysis, Spearman’s Rho Correlation, the intraclass correlation coefficient, Pearson’s correlation, analysis of variance and regression analysis were used to explore the reliability, and validity of the TANDI. Results Concurrent validity of the different dimensions was tested between the TANDI and other instruments. The Spearman’s Rho coefficients were significant and moderate to strong for dimensions of activity and participation and significant and weak for items of body functions. Known groups were compared and children with acute illness had the lowest ranked VAS (median 60, range 0–100), indicating worse HRQoL. The six dimensions of the TANDI were tested for internal consistency and reliability and the Cronbach’s α as 0.83. Test-retest results showed no variance for dimension scores of movement and play, and high agreement for pain (83%), relationships (87%), communication (83%) and eating (74%). The scores were highly correlated for the VAS (ICC = 0.76; p < 0.001). Conclusion The TANDI was found to be valid and reliable for use with children aged 1–36 months in South Africa. It is recommended that the TANDI be included in future research to further investigate HRQoL and the impact of interventions in this vulnerable age group. It is further recommended that future testing be done to assess the feasibility, clinical utility, and cross-cultural validity of the measure and to include international input in further development.


Author(s):  
M. Kiwan ◽  
D.V. Berezkin ◽  
M. Raad ◽  
B. Rasheed

Statement of a problem. One of the main tasks today is to prevent accidents in complex systems, which requires determining their cause. In this regard, several theories and models of the causality of accidents are being developed. Traditional approaches to accident modeling are not sufficient for the analysis of accidents occurring in complex environments such as socio-technical systems, since an accident is not the result of individual component failure or human error. Therefore, we need more systematic methods for the investigation and modeling of accidents. Purpose. Conduct a comparative analysis of accident models in complex systems, identify the strengths and weaknesses of each of these models, and study the feasibility of their use in risk management in socio-technical systems. The paper analyzes the main approaches of accident modeling and their limitations in determining the cause-and-effect relationships and dynamics of modern complex systems. the methodologies to safety and accident models in sociotechnical systems based on systems theory are discussed. The complexity of sociotechnical systems requires new methodologies for modeling the development of emergency management. At the same time, it is necessary to take into account the socio-technical system as a whole and to focus on the simultaneous consideration of the social and technical aspects of the systems. When modeling accidents, it is necessary to take into account the social structures and processes of social interaction, the cultural environment, individual characteristics of a person, such as their abilities and motivation, as well as the engineering design and technical aspects of systems. Practical importance. Based on analyzing various techniques for modeling accidents, as well as studying the examples used in modeling several previous accidents and review the results of this modeling, it is concluded that it is necessary to improve the modeling techniques. The result was the appearance of hybrid models of risk management in socio-technical systems, which we will consider in detail in our next work.


Author(s):  
Herlinawati Herlinawati ◽  
Ngena Ria ◽  
Zuraidah Nasution

Fixed appliance atau disebut juga pesawat orthodonti cekat merupakan alat orthodonti yang dilengketkanlangsung pada gigi. Dewasa ini pemakaian fixed appliance semakin banyak diminati kawula muda untukmemperbaiki dan mengoptimalkan fungsi gigi sebagai alat kunyah dan untuk mengoptimalkan fungsiestetika gigi. Piranti fixed appliance memiliki bentuk yang rumit sehingga mempermudah lengketnya plaklebih lama dan dapat meningkatkan resiko terjadinya karies, gingivitis dan penyakit periodontal. Adanyapiranti fixed appliance yang menempel pada gigi-gigi akan menyulitkan untuk membersihkan gigi sehinggacenderung terjadi penumpukan plak pada gigi disekitar bracket dan mahkota gigi pada tepi gingival.Penelitian ini bertujuan untuk mengetahui hubungan perilaku mahasiswa yang memakai fixed appliancetentang menyikat gigi dengan nilai OHI-S di Poltekkes Kemenkes Medan. Jenis penelitian yang digunakanadalah survei analitik dengan desain cross sectional . Populasi dalam penelitian ini berjumlah 122 orang dansampel adalah seluruh populasi yaitu 122 orang (total populasi). instrumen yang dipakai yaitu kaca mulut,pinset, sonde, nier bekken, handuk bersih kuesioner dan formulir pemeriksaan. Analisis data bivariatdengan menggunakan uji chi-square dan Spearman’s rho dengan derajat kepercayaan 95% (α = 0,05).Berdasarkan hasil penelitian, diperoleh kategori pengetahuan mahasiswa tidak berhubungan dengan kriteriaOHI-S (p > 0,05) sedangkan kategori sikap dan tindakan mempunyai hubungan dengan kriteria OHI-S (p <0,05). Nilai OHI-S rata-rata adalah 2,68. Dianjurkan kepada mahasiswa yang menggunakan fixed applianceagar lebih meningkatkan kebersihan gigi dan mulutnya, mengiku


Sign in / Sign up

Export Citation Format

Share Document