Exponential calibration for correlation coefficient with additive distortion measurement errors

2021 ◽  
Author(s):  
Jun Zhang ◽  
Zhuoer Xu
Keyword(s):  
Correlation Coefficient ◽  
Measurement Errors ◽  
Additive Distortion

Correlation analysis with additive distortion measurement errors

2016 ◽  
Vol 87 (4) ◽  
pp. 664-688 ◽  
Author(s):  
Jun Zhang ◽  
Qian Chen ◽  
Nanguang Zhou
Keyword(s):  
Correlation Analysis ◽  
Measurement Errors ◽  
Additive Distortion

scholarly journals Nonlinear measurement errors models subject to partial linear additive distortion

2018 ◽  
Vol 32 (1) ◽  
pp. 86-116 ◽  
Author(s):  
Jun Zhang ◽  
Nanguang Zhou ◽  
Qian Chen ◽  
Tianyue Chu
Keyword(s):  
Measurement Errors ◽  
Partial Linear ◽  
Additive Distortion

scholarly journals Dependence of the Correlation Coefficient Between the Results of a Parameter Measurement and Its True Values on the Reduced Measurement Error

2019 ◽  
Vol 10 (1) ◽  
pp. 90-98 ◽  
Author(s):  
S. G. Sandomirski
Keyword(s):  
Measurement Error ◽  
Correlation Coefficient ◽  
Measurement Errors ◽  
Parameter Measurement ◽  
Relative Measurement ◽  
Destructive Testing ◽  
Relative Measurement Error ◽  
Magnetic Parameters ◽  
The Difference ◽  
True Values

Magnetic testing of steels' mechanical properties is based on their correlation with steels' magnetic parameters. The purpose of this work was to establish dependence of the attainable correlation coefficient Rmax between measurement results and the parameter values a on the reduced error of its measurement. The article proposes a model of the correlation field between the parameter true values and the results of its measurement with a given reduced error δ. The merits and legitimacy of using the model for estimation of the achievable correlation coefficient Rmax are substantiated. Analysis of influence of δ parameter measurement in different ranges d of its change on Rmax is carried out. Results are compared with the previous analysis for the relative measurement error. It has been established in this work that the coefficient Rmax calculated for the reduced measurement error is always smaller than Rmax one calculated for the relative measurement error. However in the practically important range of variation of d with δ ≤ 0.05 the difference between the Rmax values calculated for the reduced and relative measurement errors is not large. This allows us to use the developed formula for the dependence Rmax = Rmax (δ, d) at Rmax ≥ 0.8 for both relative and reduced measurement errors δ. The obtained result allows us using the reduced measurement error of a metrologically certified measuring instrument to obtain the maximum attainable correlation coefficient between the true values and the results of measuring a parameter in a given range of its change without measurements. As an example, we define the conditions for the non-destructive testing of steels under which one can use measuring of magnetic parameters with the installation certified based on the reduced measurement error.

Partial linear single-index models with additive distortion measurement errors

2017 ◽  
Vol 46 (24) ◽  
pp. 12165-12193 ◽  
Author(s):  
Jun Zhang ◽  
Zhenghui Feng
Keyword(s):  
Measurement Errors ◽  
Single Index ◽  
Single Index Models ◽  
Partial Linear ◽  
Additive Distortion

scholarly journals Modifying Spearman’s Attenuation Equation to Yield Partial Corrections for Measurement Error—With Application to Sample Size Calculations

2017 ◽  
Vol 78 (1) ◽  
pp. 70-79 ◽  
Author(s):  
W. Alan Nicewander
Keyword(s):  
Measurement Error ◽  
Sample Size ◽  
Correlation Coefficient ◽  
Measurement Errors ◽  
Statistical Tests ◽  
Classical Test Theory ◽  
Test Theory ◽  
Sample Size Calculations ◽  
Correction For Attenuation ◽  
Partial Correction

Spearman’s correction for attenuation (measurement error) corrects a correlation coefficient for measurement errors in either-or-both of two variables, and follows from the assumptions of classical test theory. Spearman’s equation removes all measurement error from a correlation coefficient which translates into “increasing the reliability of either-or-both of two variables to 1.0.” In this inquiry, Spearman’s correction is modified to allow partial removal of measurement error from either-or-both of two variables being correlated. The practical utility of this partial correction is demonstrated in its use to explore increasing the power of statistical tests by increasing sample size versus increasing the reliability of the dependent variable for an experiment. Other applied uses are mentioned.

scholarly journals Reliability of CBCT in the diagnosis of dental asymmetry

2014 ◽  
Vol 19 (2) ◽  
pp. 90-95 ◽  
Author(s):  
Antônio Carlos de Oliveira Ruellas ◽  
Leonardo Koerich ◽  
Carolina Baratieri ◽  
Claudia Trindade Mattos ◽  
Matheus Alves Junior ◽  
...  
Keyword(s):  
Correlation Coefficient ◽  
Intraclass Correlation Coefficient ◽  
Measurement Errors ◽  
Interobserver Reliability ◽  
Intraclass Correlation ◽  
Mean Difference ◽  
Linear Measurements ◽  
The Mean

Objective: The aim of this study was to validate a method used to assess dental asymmetry, in relation to the skeletal midline, by means of CBCT. Methods: Ten patients who had CBCT scans taken were randomly selected for this study. Five different observers repeated 10 landmarks (x, y and z variables for each) and 12 linear measurements within 10 days. Measurements were taken in both arches to evaluate symmetry of first molars, canines and dental midline in relation to the skeletal midline. Intraclass correlation coefficient (ICC) was carried out to assess intra- and interobserver reliability for landmarks and distances. Average mean difference was also assessed to check measurement errors between observers. Results: ICC landmarks was ≥ 0.9 for 27 (90%) and 25 (83%) variables for intra- and interobserver, respectively. ICC for distances was ≥ 0.9 for 7 (58%) and 5 (42%), respectively. All ICC landmarks for distances were >0.75 for both intra- and interobserver. The mean difference between observers was ≤ 0.6 mm for all the distances. Conclusion: The method used to assess dental asymmetry by means of CBCT is valid. Measurements of molars, canines and dental midline symmetry with the skeletal midline are reproducible and reliable when taken by means of CBCT and by different operators.

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