scholarly journals On the cause of hierarchical order among the correlation coefficients of a number of variates taken in pairs

1919 ◽  
Vol 95 (671) ◽  
pp. 400-408 ◽  
Keyword(s):  
Correlation Coefficient ◽  
Experimental Psychology ◽  
Correlation Coefficients ◽  
General Question ◽  
General Factor ◽  
Hierarchical Order ◽  
Total Correlation ◽  
The Right ◽  
Mental Tests

The object of this paper is to investigate the cause of a phenomenon in the realm of chance, which has become technically known as hierarchical order among correlation coefficients, and has been held to prove the existence of a general factor running through the correlated varieties, and the absence of group factors running through some but not through all of them. The question arose in the science of experimental psychology, but it is here, after the introductory paragraphs, considered as a general question in probability. When mental tests are applied to a number of subjects, and the correlations between the marks are calculated for every possible pair of tests, the correlation coefficients obtained show, as a rule, a tendency to arrange themselves in hierarchical order. By this is meant that the order of sequence of the mental tests, according to the size of the correlation of each with a fixed one of their number, proves to be largely independent of the choice of this latter. If the mental tests, which we may call by the names x 1 , x 2 , x 3 ,..., have been arranged in order according to the total correlation of each with all the others, and if a square table such as the following be formed:— then the hierarchical order shows itself in the fact that there is a tendency for each correlation coefficient r to be greater than its neighbour on the right and its neighbour below it. A method, which has been used for measuring the degree of perfection of the hierarchical order, is to take the correlation of each pair of columns of the above table. Clearly, if hierarchical order is present, all these correlations will be high, and in the most perfect case will become unity.

XXXIV.—The Significance of the Correlation Coefficient when applied to Mendelian Distributions

1910 ◽  
Vol 30 ◽  
pp. 473-507 ◽  
Author(s):  
John Brownlee
Keyword(s):  
Correlation Coefficient ◽  
Correlation Coefficients ◽  
Mendelian Inheritance ◽  
The Other ◽  
General Question ◽  
Present Moment

1. At the present moment there is much discussion regarding the means by which properties are hereditarily transmitted from a parent organism to its offspring, and of the extent to which the Mendelian theory is capable of accounting for the facts. In this note it is not proposed to discuss the general question but to investigate the conditions under which the theory of correlation may be applied to Mendelian groupings. Two important papers on this subject have already been published: one by Professor Pearson, entitled “A Generalized Theory of Mendelian Inheritance”; the other, which is largely a criticism of this, by Professor Udny Yule. In Professor Pearson's paper the results produced when two organisms with any number of pairs of different zygotes mate indiscriminately are fully considered. He finds that such a population once established is stable, and he then deduces the parental and fraternal correlation coefficients.

scholarly journals A study on the correlation between foot length and height of an individual and to derive regression formulae to estimate the height from foot length of an individual

2018 ◽  
Vol 6 (2) ◽  
pp. 528 ◽  
Author(s):  
Kanwal Kamboj ◽  
Iram Khan ◽  
Kuldeep Panday
Keyword(s):  
Correlation Coefficient ◽  
Predictive Accuracy ◽  
Correlation Coefficients ◽  
Length Measurement ◽  
Coefficient Of Determination ◽  
Foot Length ◽  
Prospective Comparative Study ◽  
Fifth Toe ◽  
The Right ◽  
Adult Volunteers

Background: To find out the correlation between foot length and height of an individual and to derive regression formulae to estimate the height from foot length of an individual.Methods: This was a prospective comparative study. A total of 640 bilateral footprints collected from 320 adult volunteers of ages ranging between 25 and 50 years old. Foot Prints, foot length, Stature and height were recorded as per standard methods.Results: The mean age (year) was 38.43±7.63, Stature (cm) mean of male and female was 162.75±6.03, Left Foot Breadth (cm) was 8.90±0.92, Right Foot Breadth (cm) was 8.88±0.82, Left Foot length (cm) was 23.70±2.41 and Right Foot length (cm) was 23.68±2.41. The stature-mean ranges from 20.21±1.25 to 23.70±2.1 cm. First toe-heel footprint length measurement (PLT1, PRT1) was found to be the longest in both right and left sides (23.70±2.1; 23.68±1.32) and Fifth toe-heel footprint length measurement (PLT5, PRT5) was found to be the shortest in both right and left sides (20.60±1.3; 20.21±1.25). For males, the highest correlation coefficient was noted for PLT5 (0.524) and the lowest correlation coefficient noted was for PLT1 (0.581) and for females the highest correlation coefficient was noted for PLT5 (0.585) and the lowest correlation coefficient noted was for PLT1 (0.611). Hence, statistically significant correlation coefficients exist between stature and all footprint length measurements. With regard to the coefficient of determination (R2), the predictive accuracy is found to be statistically significant for stature estimation.Conclusions: Foot length in males and females shows highest correlation with stature and minimum standard error in the estimation of stature. So, the foot length provided the highest reliability and accuracy in estimating stature. The left foot length gives better prediction of stature than the right foot. The prediction of height is better in case of females in comparison to males.

IMPROVEMENT OF SPRING DURUM WHEAT SELECTION METHODOLOGIES UNDER CLIMATE CHANGE CONDITIONS

1970 ◽  
pp. 33-36
Author(s):  
А. I. Grabovets ◽  
V. P. Kadushkina ◽  
S. А. Kovalenko
Keyword(s):  
Grain Yield ◽  
Durum Wheat ◽  
Correlation Coefficient ◽  
Harvest Index ◽  
Unit Area ◽  
Correlation Coefficients ◽  
Chemical Mutagenesis ◽  
Main Method ◽  
The Relationship ◽  
Selection Of

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.

The expressivity dimension of speech is the basis of the expression dimension. Evidence from behavioural and neuroimaging studies

2020 ◽  
Author(s):  
Isabelle Hesling
Keyword(s):  
Language Acquisition ◽  
Experimental Psychology ◽  
Right Hemisphere ◽  
Word List ◽  
Behavioral Experiments ◽  
Brain Areas ◽  
Language Communication ◽  
Neuroimaging Data ◽  
List Processing ◽  
The Right

The modalities of communication are the sum of the expression dimension (linguistics) and the expressivity dimension (prosody), both being equally important in language communication. The expressivity dimension which comes first in the act of speech, is the basis on which phonemes, syllables, words, grammar and morphosyntax, i.e., the expression dimension of speech is superimposed. We will review evidence (1) revealing the importance of prosody in language acquisition and (2) showing that prosody triggers the involvement of specific brain areas dedicated to sentences and word-list processing. To support the first point, we will not only rely on experimental psychology studies conducted in newborns and young children but also on neuroimaging studies that have helped to validate these behavioral experiments. Then, neuroimaging data on adults will allow for concluding that the expressivity dimension of speech modulates both the right hemisphere prosodic areas and the left hemisphere network in charge of the expression dimension

scholarly journals Development and Relative Validity of a Semiquantitative Food Frequency Questionnaire to Estimate Dietary Intake among a Multi-Ethnic Population in the Malaysian Cohort Project

Nutrients ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 1163
Author(s):  
Suzana Shahar ◽  
Mohd Razif Shahril ◽  
Noraidatulakma Abdullah ◽  
Boekhtiar Borhanuddin ◽  
Mohd Arman Kamaruddin ◽  
...  
Keyword(s):  
Vitamin C ◽  
Correlation Coefficient ◽  
Food Frequency Questionnaire ◽  
Intraclass Correlation ◽  
Correlation Coefficients ◽  
Weighted Kappa ◽  
Dietary Intakes ◽  
Food Frequency ◽  
Relative Validity ◽  
Spearman’S Correlation

Measuring dietary intakes in a multi-ethnic and multicultural setting, such as Malaysia, remains a challenge due to its diversity. This study aims to develop and evaluate the relative validity of an interviewer-administered food frequency questionnaire (FFQ) in assessing the habitual dietary exposure of The Malaysian Cohort (TMC) participants. We developed a nutrient database (with 203 items) based on various food consumption tables, and 803 participants were involved in this study. The output of the FFQ was then validated against three-day 24-h dietary recalls (n = 64). We assessed the relative validity and its agreement using various methods, such as Spearman’s correlation, weighed Kappa, intraclass correlation coefficient (ICC), and Bland–Altman analysis. Spearman’s correlation coefficient ranged from 0.24 (vitamin C) to 0.46 (carbohydrate), and almost all nutrients had correlation coefficients above 0.3, except for vitamin C and sodium. Intraclass correlation coefficients ranged from −0.01 (calcium) to 0.59 (carbohydrates), and weighted Kappa exceeded 0.4 for 50% of nutrients. In short, TMC’s FFQ appears to have good relative validity for the assessment of nutrient intake among its participants, as compared to the three-day 24-h dietary recalls. However, estimates for iron, vitamin A, and vitamin C should be interpreted with caution.

Comparison of visual (MUNSELL) and instrumental measures (CIELAB) of coloured textile standard samples

2019 ◽  
Vol 23 (4) ◽  
pp. 340-354
Author(s):  
Asim Kumar Roy Choudhury ◽  
Biswajit Naskar
Keyword(s):  
Correlation Coefficient ◽  
Design Methodology ◽  
Correlation Coefficients ◽  
Standard Samples ◽  
Content Type ◽  
Psychophysical Data ◽  
Physical Data ◽  
Hue Angle ◽  
Munsell Scale

Purpose This paper aims to compare visual (Munsell) and instrumental (CIELAB) attributes of SCOTDIC colour standards. Design/methodology/approach SCOTDIC cotton and polyester standards of defined hue, value and chroma were subjected to spectrophotometric assessment for finding the corresponding instrumental parameters. The visual and instrumental parameters were compared. Findings The correlation between SCOTDIC value and CIELAB lightness is quite high. Correlation coefficient between SCOTDIC hue and CIELAB hue angle and the correlation between SCOTDIC chroma and CIELAB chroma were only moderate because the CIELAB chroma varied widely at higher chroma. When the standards of SCOTDIC hues having erratic hue angles at two extremes are excluded, the Correlation coefficients between SCOTDIC hue and CIELAB hue angle become high. Research limitations/implications The psychophysical data (visual) are difficult to match with physical data (instrumental). Originality/value The object of the present research is to study and compare visual (Munsell) and instrumental (CIELAB) colorimetric parameters. Munsell scale is physically exemplified by SCOTDIC fabric samples available in two sets, namely, cotton and polyester sets.

Effect of Surface Roughness on Slip Resistance of Rubber

2011 ◽  
Vol 189-193 ◽  
pp. 1538-1542
Author(s):  
Li Xiao Jia ◽  
Yong Zhen Zhang ◽  
Yong Ping Niu ◽  
San Ming Du ◽  
Jian Li
Keyword(s):  
Surface Roughness ◽  
Correlation Coefficient ◽  
Correlation Coefficients ◽  
Roughness Parameters ◽  
Test Conditions ◽  
Slip Resistance ◽  
Materials Used ◽  
Almost All ◽  
Effect Of Surface

In order to decrease accidents of slips and falls, COFs of rubber samples with different surface roughness were measured by Brungraber Mark II. And the correlation coefficients between roughness parameters and COF were calculated. The rusults have shown that the COF increases with surface roughness and the correlation coefficient between Sq and COF is highest. In general, almost all the roughness parameters used in the study have high correlation with COF. Parameters had the highest correlation with COF depends on the materials used and test conditions.

scholarly journals Innovative Correlation Coefficient Measurement with Fuzzy Data

2016 ◽  
Vol 2016 ◽  
pp. 1-11
Author(s):  
Berlin Wu ◽  
Chin Feng Hung
Keyword(s):  
Mathematics Achievement ◽  
Correlation Coefficient ◽  
Empirical Studies ◽  
Correlation Coefficients ◽  
Interval Data ◽  
Fuzzy Data ◽  
Pearson’S Correlation Coefficient ◽  
Coefficient Measurement ◽  
The Relationship ◽  
Fuzzy Interval

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.

Industry-Sponsored Medical Education — In the Quest for Professional Integrity and Legal Certainty

2007 ◽  
Vol 14 (4) ◽  
pp. 313-319
Author(s):  
Benedikt Buchner
Keyword(s):  
Medical Education ◽  
Self Regulation ◽  
State Regulation ◽  
General Question ◽  
Legal Certainty ◽  
European Directive ◽  
Starting Point ◽  
Good Starting Point ◽  
Advertising Law ◽  
The Right

AbstractIndustry-sponsored medical education is a much disputed issue. So far, there has been no regulatory framework which provides clear and definite rules as to whether and under what circumstances the sponsorship of medical education is acceptable. State regulation does not exist, or confines itself to a very general principle. Professional regulation, even though applied frequently, is rather vague and indefinite, raising the general question as to whether self-regulation is the right approach at all. Certainly, self-regulation by industry cannot and should not replace other regulatory approaches. Ultimately, advertising law in general and the European Directive 2001/83/EC specifically, might be a good starting point in providing legal certainty and ensuring the independence of medical education. Swiss advertising law illustrates how the principles of the European Directive could be implemented clearly and unambiguously.

scholarly journals Psychometric Properties of the MyotonPRO in Dementia Patients with Paratonia

Gerontology ◽  
2017 ◽  
Vol 64 (4) ◽  
pp. 401-412 ◽  
Author(s):  
Hans Drenth ◽  
Sytse U. Zuidema ◽  
Wim P. Krijnen ◽  
Ivan Bautmans ◽  
Cees van der Schans ◽  
...  
Keyword(s):  
Psychometric Properties ◽  
Correlation Coefficient ◽  
Intraclass Correlation ◽  
Correlation Coefficients ◽  
Functional Mobility ◽  
Future Research ◽  
Minimal Detectable Change ◽  
Muscle Properties ◽  
Dementia Patients ◽  
Longitudinal Outcome

Background: Paratonia is a distinctive form of hypertonia, causing loss of functional mobility in early stages of dementia to severe high muscle tone and pain in the late stages. For assessing and evaluating therapeutic interventions, objective instruments are required. Objective: Determine the psychometric properties of the MyotonPRO, a portable device that objectively measures muscle properties, in dementia patients with paratonia. Methods: Muscle properties were assessed with the MyotonPRO by 2 assessors within one session and repeated by the main researcher after 30 min and again after 6 months. Receiver operating characteristic curves were constructed for all MyotonPRO outcomes to discriminate between participants with (n = 70) and without paratonia (n = 82). In the participants with paratonia, correlation coefficients were established between the MyotonPRO outcomes and the Modified Ashworth Scale for paratonia (MAS-P) and muscle palpation. In participants with paratonia, reliability (intraclass correlation coefficient) and agreement values (standard error of measurement and minimal detectable change) were established. Longitudinal outcome from participants with paratonia throughout the study (n = 48) was used to establish the sensitivity for change (correlation coefficient) and responsiveness (minimal clinical important difference). Results: Included were 152 participants with dementia (mean [standard deviation] age of 83.5 [98.2]). The area under the curve ranged from 0.60 to 0.67 indicating the MyotonPRO is able to differentiate between participants with and without paratonia. The MyotonPRO explained 10-18% of the MAS-P score and 8-14% of the palpation score. Interclass correlation coefficients for interrater reliability ranged from 0.57 to 0.75 and from 0.54 to 0.71 for intrarater. The best agreement values were found for tone, elasticity, and stiffness. The change between baseline and 6 months in the MyotonPRO outcomes explained 8-13% of the change in the MAS-P scores. The minimal clinically important difference values were all smaller than the measurement error. Conclusion: The MyotonPRO is potentially applicable for cross-sectional studies between groups of paratonia patients and appears less suitable to measure intraindividual changes in paratonia. Because of the inherent variability in movement resistance in paratonia, the outcomes from the MyotonPRO should be interpreted with care; therefore, future research should focus on additional guidelines to increase the clinical interpretation and improving reproducibility.

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