scholarly journals On the application of the averaged correlation matrix in craniometry

2021 ◽  
pp. 141-149
Author(s):  
Ivan Shirobokov ◽  

The article presents an averaged correlation matrix for 20 craniometric features, calculated for 24 male Eurasian samples. In some cases, correlation matrices calculated for different samples vary significantly; however, the fluctuations in the coefficients are usually random. Most correlation coefficients between craniometric traits have low positive values. The Mantel test, often used to compare matrices, produces incorrect results, since it is insensitive to the relationship between the value of the correlation coefficient and its stability: the lower the value of the correlation coefficient, the higher its random variability. At the same time, averaged correlation matrix based on individual data is similar to the averaged correlation matrices based on worldwide data used by Russian anthropologists at present. The usefullness of averaged correlation matrices for intergroup comparisons has been tested. It was also shown that the use of the averaged matrix for calculating the Mahalanobis distances produces results comparable to the calculations based on individual data. The analyzed samples can represent populations both from the local settlements and territorial communities. That was confirmed by the results of a series of tests for the Eastern European cranial samples, which were not used in the calculation of the averaged matrix. In conclusion some biases in the analysis of correlation coefficients caused by false ideas about their properties are considered.

Author(s):  
А. I. Grabovets ◽  
V. P. Kadushkina ◽  
S. А. Kovalenko

With the growing aridity of the climate on the Don, it became necessary to improve the methodology for conducting the  breeding of spring durum wheat. The main method of obtaining the source material remains intraspecific step hybridization. Crossings were performed between genetically distant forms, differing in origin and required traits and properties. The use of chemical mutagenesis was a productive way to change the heredity of genotypes in terms of drought tolerance. When breeding for productivity, both in dry years of research and in favorable years, the most objective markers were identified — the size of the aerial mass, the mass of grain per plant, spike, and harvest index. The magnitude of the correlation coefficients between the yield per unit area and the elements of its structure is established. It was most closely associated with them in dry years, while in wet years it decreased. Power the correlation of the characteristics of the pair - the grain yield per square meter - the aboveground biomass averaged r = 0.73, and in dry years it was higher (0.91) than in favorable ones (0.61 - 0.70) , between the harvest and the harvest index - r = 0.81 (on average). In dry years, the correlation coefficient increased to 0.92. Research data confirms the greatest importance of the mass of grain from one ear and the plant in the formation of grain yield per unit area in both dry and wet years. In dry years, the correlation coefficient between yield and grain mass per plant was on average r = 0.80; in favorable years, r = 0.69. The relationship between yield and grain mass from the ear was greater — r = 0.84 and r = 0.82, respectively. Consequently, the breeding significance of the aboveground mass and the productivity of the ear, as a criterion for the selection of the crop, especially increases in the dry years. They were basic in the selection.


2016 ◽  
Vol 2016 ◽  
pp. 1-11
Author(s):  
Berlin Wu ◽  
Chin Feng Hung

Correlation coefficients are commonly found with crisp data. In this paper, we use Pearson’s correlation coefficient and propose a method for evaluating correlation coefficients for fuzzy interval data. Our empirical studies involve the relationship between mathematics achievement and other projects.


Author(s):  
Mohammad Abdolshah ◽  
Baranak Geranfar ◽  
Eisa Akbari ◽  
Jalil Vaziri

This article examines one of the key competencies of the 21st century known as cultural intelligence (CQ). This study investigates the relationship between CQ, organizational culture, and the effectiveness of staff in the industry, mine, and trade organizations of Semnan province in Iran. Using correlational analysis, the statistical population includes a total of 103 people from 141 employees based on personnel department documents. Three questionnaires were used to measure the variables and descriptive and deductive statistics were applied to evaluate and analyze the data. The Pearson correlation coefficient and multivariate regression were used in deductive statistics to obtain the results. The findings show there is a significant relationship between CQ, organizational culture, and effectiveness. Among four cultural intelligence factors, only the knowledge of CQ can predict the effectiveness. The calculated correlation coefficient indicates that the creativity factors and communication pattern have the highest correlation coefficients.


2017 ◽  
Vol 46 (3-4) ◽  
pp. 13-22 ◽  
Author(s):  
Alexander Dürre ◽  
Roland Fried ◽  
Daniel Vogel

We summarize properties of the spatial sign covariance matrix and especially consider the relationship between its eigenvalues and those of the shape matrix of an elliptical distribution. The explicit relationship known in the bivariate case was used to construct the spatial sign correlation coefficient, which is a non-parametric and robust estimator for the correlation coefficient within the elliptical model. We consider a multivariate generalization, which we call the multivariate spatial sign correlation matrix. A small simulation study indicates that the new estimator is very efficient under various elliptical distributions if the dimension is large. We furthermore derive its influence function under certain conditions which indicates that the multivariate spatial sign correlation becomes more sensitive to outliers as the dimension increases.


Author(s):  
Mohammadreza Soltaninejad ◽  
Mohsen Aminizadeh ◽  
Amin Saberinia

Introduction: The efficacy of psychological and pharmacological approaches is broadly similar in the acute treatment of psychopharmacology disorders. One of the most important stressful environmental stimuli that can cause chronic stress is people's jobs. And since promoting the mental health of individuals in a society, especially its constituent classes, is essential to the dynamics and growth of that society, this research was conducted with the aim of investigating the relationship between trauma caused by accident and anxiety, depression, and stress in Kerman Emergency Medical and Emergency Center during 2019. Methods: This is a descriptive-correlational study. The statistical population was all 70 personnel members of Emergency Medical and 115 Emergency Centers in Kerman. The Depression, Stress and Anxiety Scale 21 and Trauma Screening were used as the instruments of measurement. Pearson and Spearman correlation coefficients through SPSS software were used to test the hypotheses. Results: There is a significant and direct correlation between trauma caused by accidents and personnel anxiety with a correlation coefficient of 0.407. Also, there is a significant and direct correlation between trauma caused by accidents and personnel depression with a correlation coefficient of 0.407. There is also a significant and direct relationship between trauma caused by accidents and personnel stress with a correlation coefficient of 0.388. Conclusion: Our data suggested that mental health along with personality traits is a solution to reduce stress and anxiety resulting from the personnel facing trauma caused by accidents.


Author(s):  
Mingwei Lin ◽  
Chao Huang ◽  
Riqing Chen ◽  
Hamido Fujita ◽  
Xing Wang

AbstractCompared to the intuitionistic fuzzy sets, the Pythagorean fuzzy sets (PFSs) can provide the decision makers with more freedom to express their evaluation information. There exist some research results on the correlation coefficient between PFSs, but sometimes they fail to deal with the problems of disease diagnosis and cluster analysis. To tackle the drawbacks of the existing correlation coefficients between PFSs, some novel directional correlation coefficients are put forward to compute the relationship between two PFSs by taking four parameters of the PFSs into consideration, which are the membership degree, non-membership degree, strength of commitment, and direction of commitment. Afterwards, two practical examples are given to show the application of the proposed directional correlation coefficient in the disease diagnosis, and the application of the proposed weighted directional correlation coefficient in the cluster analysis. Finally, they are compared with the previous correlation coefficients that have been developed for PFSs.


Author(s):  
Mohammad Abdolshah ◽  
Baranak Geranfar ◽  
Eisa Akbari ◽  
Jalil Vaziri

This article examines one of the key competencies of the 21st century known as cultural intelligence (CQ). This study investigates the relationship between CQ, organizational culture, and the effectiveness of staff in the industry, mine, and trade organizations of Semnan province in Iran. Using correlational analysis, the statistical population includes a total of 103 people from 141 employees based on personnel department documents. Three questionnaires were used to measure the variables and descriptive and deductive statistics were applied to evaluate and analyze the data. The Pearson correlation coefficient and multivariate regression were used in deductive statistics to obtain the results. The findings show there is a significant relationship between CQ, organizational culture, and effectiveness. Among four cultural intelligence factors, only the knowledge of CQ can predict the effectiveness. The calculated correlation coefficient indicates that the creativity factors and communication pattern have the highest correlation coefficients.


2005 ◽  
Vol 16 (2-3) ◽  
pp. 57-66 ◽  
Author(s):  
Kyung Hee Kim

Some research has shown that creativity test scores are independent from IQ scores, whereas other research has shown a relationship between the two. To clarify the cumulative evidence in this field, a quantitative review of the relationship between creativity test scores and IQ scores was conducted. Moderating influences of IQ tests, IQ score levels, creativity tests, creativity subscales, creativity test types, gender, age, and below and above the threshold (IQ 120) were examined. Four hundred forty-seven correlation coefficients from 21 studies and 45,880 participants were retrieved. The mean correlation coefficient was small ( r = .174; 95% CI = .165 - .183), but heterogeneous; this correlation coefficient indicates that the relationship between creativity test scores and IQ scores is negligible. Age contributed to the relationship between intelligence and creativity the most; different creativity tests contributed to it secondly. This study does not support threshold theory.


1985 ◽  
Vol 16 (1) ◽  
pp. 52-55
Author(s):  
Betty A. Collis ◽  
Lorne K. Rosenblood

Testing the relationship between variables is an important part of educational research. The rest is commonly done by using the Pearson productmoment correlation coefficient. The basic question in determining the significance of an observed correlation is the likel ihood of the observed relationship occurring by chance, given that there is nor a true correlation. When only two variables are involved, the significance is determined by using the standard t or z statistics or by consulting a table (see, for example, Ferguson, 1981, Table D). The significance level obtained can be referred to as the comparison-wise error rate. What this expresses, of course, is the probability that the single observed correlation is being declared significant when in fact there is no significant correlation.


An important set of correlation coefficients showing the relationship between pressure and temperature at the same level in the free atmosphere has recently been published by W. H. Dines. The coefficients are repro­duced here in Table I. These correlation coefficients, ranging as they do from 0·72 to 0·91 for the layers between 3 k and 8 k , present indisputably strong evidence of a very close relationship between pressure and temperature at the same level. Now it is easily proved that a correlation coefficient is always lowered in the numerical sense by errors of observation. Hence a point of considerable importance arises with regard to the correlation coefficients of Table I Granted that errors of observation exist in the observations from which the coefficients are calculated, what are the true values of these coefficients, the effects of errors of observation being eliminated ? It is the aim of the present paper to answer this question from the data available for the purpose.


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