A New Method of Significance Testing for Correlation-Coefficient Fields and Its Application

2022 ◽  
Author(s):  
Xiaojuan Sun ◽  
Siyan Li ◽  
Julian X. L. Wang ◽  
Panxing Wang ◽  
Dong Guo
Keyword(s):  
Correlation Coefficient ◽  
New Method ◽  
Significance Testing

Vague Correlation Coefficient of Interval Vague Sets and its Applications to Topsis in MADM Problems

2014 ◽  
pp. 140-173
Author(s):  
John Robinson P. ◽  
Henry Amirtharaj E. C.
Keyword(s):  
Fuzzy Sets ◽  
Correlation Coefficient ◽  
Intuitionistic Fuzzy Sets ◽  
New Method ◽  
Numerical Illustration ◽  
Vague Sets ◽  
Intuitionistic Fuzzy ◽  
Statistical Confidence ◽  
Order Preference ◽  
Novel Method

Various attempts are made by researchers on the study of vagueness of data through Intuitionistic Fuzzy sets and Vague sets, and also it is shown that Vague sets are Intuitionistic Fuzzy sets. However, there are algebraic and graphical differences between Vague sets and Intuitionistic Fuzzy sets. In this chapter, an attempt is made to define the correlation coefficient of Interval Vague sets lying in the interval [0,1], and a new method for computing the correlation coefficient of interval Vague sets lying in the interval [-1,1] using a-cuts over the vague degrees through statistical confidence intervals is also presented by an example. The new method proposed in this work produces a correlation coefficient in the form of an interval. The proposed method produces a correlation coefficient in the form of an interval from a trapezoidal shaped fuzzy number derived from the vague degrees. This chapter also aims to develop a new method based on the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) to solve MADM problems for Interval Vague Sets (IVSs). A TOPSIS algorithm is constructed on the basis of the concepts of the relative-closeness coefficient computed from the correlation coefficient of IVSs. This novel method also identifies the positive and negative ideal solutions using the correlation coefficient of IVSs. A numerical illustration explains the proposed algorithms and comparisons are made with some existing methods.

Vague Correlation Coefficient of Interval Vague Sets and its Applications to Topsis in MADM Problems

Fuzzy Systems ◽  
2017 ◽  
pp. 1110-1149
Author(s):  
John Robinson P. ◽  
Henry Amirtharaj E. C.
Keyword(s):  
Fuzzy Sets ◽  
Correlation Coefficient ◽  
Intuitionistic Fuzzy Sets ◽  
New Method ◽  
Numerical Illustration ◽  
Vague Sets ◽  
Intuitionistic Fuzzy ◽  
Statistical Confidence ◽  
Order Preference ◽  
Novel Method

Various attempts are made by researchers on the study of vagueness of data through Intuitionistic Fuzzy sets and Vague sets, and also it is shown that Vague sets are Intuitionistic Fuzzy sets. However, there are algebraic and graphical differences between Vague sets and Intuitionistic Fuzzy sets. In this chapter, an attempt is made to define the correlation coefficient of Interval Vague sets lying in the interval [0,1], and a new method for computing the correlation coefficient of interval Vague sets lying in the interval [-1,1] using a-cuts over the vague degrees through statistical confidence intervals is also presented by an example. The new method proposed in this work produces a correlation coefficient in the form of an interval. The proposed method produces a correlation coefficient in the form of an interval from a trapezoidal shaped fuzzy number derived from the vague degrees. This chapter also aims to develop a new method based on the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) to solve MADM problems for Interval Vague Sets (IVSs). A TOPSIS algorithm is constructed on the basis of the concepts of the relative-closeness coefficient computed from the correlation coefficient of IVSs. This novel method also identifies the positive and negative ideal solutions using the correlation coefficient of IVSs. A numerical illustration explains the proposed algorithms and comparisons are made with some existing methods.

scholarly journals Determination of Cysteine by Discoloration Spectrophotometry using Copper(II)-Bis-Cyclohexanone Oxalydihydrazone

2021 ◽  
Vol 245 ◽  
pp. 03023
Author(s):  
Changqing Tu ◽  
Xinrong Wen
Keyword(s):  
Linear Relationship ◽  
Correlation Coefficient ◽  
Influencing Factors ◽  
Alkaline Medium ◽  
Linear Correlation ◽  
Mass Concentration ◽  
New Method ◽  
Chromogenic Reagent ◽  
Maximum Absorption Wavelength

In the alkaline medium of pH=9.18, Cu2+ can be reduced to Cu+ by the sulfhydryl (-SH) of cysteine, and it result in the decrease the amount of Cu2+ in the system. The decrement of Cu2+ is directly proportional to the addition of cysteine, then using bis-cyclohexanone oxalyldihydrazone (BCO) as chromogenic reagent for Cu2+ to determinate the content of cysteine indirectly by discoloration spectrophotometry. A new method for the determination of cysteine by discoloration spectrophotometry using Copper(II)-BCO has been established. The influencing factors of the determination of cysteine is investigated. The results show that the maximum absorption wavelength of chromogenic system was 602 nm, in the range of 0.008000~0.06800 mg/mL, the linear relationship between the decrease of absorbance and the mass concentration of methimazol is A=0.2162+2.4824C (mg/mL), and the linear correlation coefficient is r=0.9959. The method has been applied to the determination of cysteine in food, and the results are basically consistent with those determined by pharmacopoeial method.

scholarly journals Development and Validation of a Comprehensive Multiparameter-based Scoring System to Assess Pulmonary Fibrosis Severity

2020 ◽  
Author(s):  
Chengsheng Yin ◽  
Yuan Zhang ◽  
Yiliang Su ◽  
Feng Zhang ◽  
Jingyun Shi ◽  
...  
Keyword(s):  
Idiopathic Pulmonary Fibrosis ◽  
Pulmonary Fibrosis ◽  
Pulmonary Function ◽  
Correlation Coefficient ◽  
Assessment Method ◽  
New Method ◽  
Fibrosis Stage ◽  
Death Risk ◽  
Severity Grade ◽  
Fibrosis Staging

Abstract Background Survival time varies greatly in patients with idiopathic pulmonary fibrosis (IPF). An assessment method that can accurately assess the severity and prognosis of idiopathic pulmonary fibrosis is currently lacking. This study aimed to develop a new method, which can be easily used to assess pulmonary fibrosis severity. Method 1. Development of a HRCT combined pulmonary function & physiological parameter (CTPF) assessment method: The method included two parts. 1) CT-based fibrosis staging: Four representative lung CT sections were selected and evenly divided into 100 small areas. The percentage of honeycomb lesion area in the four sections was determined fibrosis stage,2) PF-based severity grade: FVC%pred,DLco%pred,SpO2% age and gender were used to assess PF severity grade. 2. Validation of the new method: The method was used to assess 192 patients with IPF. Two radiologists used the CT-based fibrosis staging method to determine the fibrosis stage. Pulmonologist determined the PF severity grade. 3. Statistical analyses: Intra-group correlation coefficient to estimate the consistency between the CT scores from the two radiologists. Spearman correlation coefficient to evaluate the correlation between CT scores and lung function parameters. The competitive risk Fine–Gray model was used to analyze the relationship between CT-based stage/PF-based grade and prognosis. CT-based stage, PF-based grade, and GAP stage were used as predictors to predicted the death risk. Results 1. The intra-group correlation coefficient of the CT scores of the two radiologists was 0.95, P<0.05. 2. The CT scores negatively correlated with pulmonary function. 3. The CTPF comprehensive model, showed higher predictive accuracy. Conclusion Combined CT-based staging and PF-based grading methods CTPF can be adopted easily in clinical practice, and can assess IPF severity and predict death risk more accurately.

Evaluation of an innovative new method for quantitation of plasma cells on CD138 immunohistochemistry

2021 ◽  
pp. jclinpath-2021-207828
Author(s):  
Ethan Gantana ◽  
Nomusa Mashigo ◽  
Ibtisam Abdullah ◽  
Ernest Musekwa ◽  
Robert Lohlun ◽  
...  
Keyword(s):  
Correlation Coefficient ◽  
Plasma Cell ◽  
Plasma Cells ◽  
Intraclass Correlation ◽  
Estimation Method ◽  
High Plasma ◽  
New Method ◽  
Bone Marrow Biopsies ◽  
Cell Counts ◽  
Cell Densities

AimTo compare the frequently used CD138 immunohistochemistry-based method of plasma cell quantitation, to a proposed new method, using interobserver and intraobserver concordance parameters.MethodsArchival CD138 immunohistochemically stained slides made from paraffin-embedded bone marrow biopsies of 33 patients with a confirmed diagnosis of multiple myeloma were used. Light microscopic examination was performed using low magnification lenses (10×) for both the overview estimation method (method A) and the new method (method B), and high magnification lenses (50×), for method B only. For method B, reviewers selected three areas with low, intermediate and high plasma cell densities using 10× lenses. Using a well-defined technique, the 50× lens was then used to count plasma cells as a percentage of all nucleated cells. After blinded relabelling of all the slides, the nine reviewers repeated the plasma cell quantitation using both methods. The plasma cell counts were obtained, and the review times were recorded.ResultsOverall intraobserver concordance was comparable for method A (concordance correlation coefficient (CCC)=0.840) and method B (CCC=0.733). Interobserver concordance for method A (intraclass correlation coefficient (ICC)=0.793 and 0.713) and method B (ICC=0.657 and 0.658) indicated high similarity between reviewers. Method A showed poor interobserver concordance (ICC=0.105) at low plasma cell densities.ConclusionsThe new method is comparable to the frequently used overview estimation method in terms of intraobserver and interobserver concordance, and cost. The new method has superior interobserver concordance at low plasma cell densities. The new method appears more amenable to digital scanning and analysis.

Dynamic ultrasonographic measurement of passive coxofemoral joint laxity in puppies

1997 ◽  
Vol 33 (3) ◽  
pp. 275-281 ◽  
Author(s):  
RT O'Brien ◽  
RT Dueland ◽  
WC Adams ◽  
J Meinen
Keyword(s):  
Standard Deviation ◽  
Femoral Head ◽  
Correlation Coefficient ◽  
Joint Laxity ◽  
New Method ◽  
One Year

A new method of dynamic ultrasonographic evaluation of passive coxofemoral joint laxity was used to examine a total of 30 greyhound (n = 13) and nongreyhound (n = 17) puppies. Puppies were evaluated sonographically at four, six, eight, 12, 16, and 26 weeks of age. The coxofemoral joints were distracted manually, and the femoral head displacements were measured during distraction. The greyhounds had significantly smaller (p less than 0.01) maximum distraction distance (mean +/- standard deviation [SD], 0.11 +/- 0.04 cm) than nongreyhound puppies (mean +/- SD, 0.26 +/- 0.10 cm). In six- to eight-week-old puppies, the maximum distraction distance was correlated significantly (p of 0.0001, adjusted correlation coefficient [r2] of 0.27) with stress radiographic indices. Coxofemoral joints interpreted as being abnormal on hip-extended radiographs taken at one year of age were associated significantly (p of 0.0001) with higher maximum distraction distances in six- to eight-week-old puppies.

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