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2 edition of On robustness of tests of correlation coefficient found in the catalog.

On robustness of tests of correlation coefficient

Gek-Choon Lee

# On robustness of tests of correlation coefficient

## by Gek-Choon Lee

Written in English

Edition Notes

Thesis (Ph.D.)--University of Toronto, 1982.

 ID Numbers Statement Gek-Choon Lee. Open Library OL14839383M

Correlation and linear regression each explore the relationship between two quantitative variables. The correlation coefficient from the test is tau, The test is relatively robust to outliers in the data. The test is sometimes cited for being reliable when there are small number of samples or when there are many ties in ranks. Methods for correlation analyses. There are different methods to perform correlation analysis. Pearson correlation (r), which measures a linear dependence between two variables (x and y).It’s also known as a parametric correlation test because it depends to the distribution of the data. It can be used only when x and y are from normal distribution.

For more on the large sample properties of hypothesis tests, robustness, and power, I would recommend looking at Chapter 3 of Elements of Large-Sample Theory by Lehmann. For more on the specific question of the t-test and robustness to non-normality, I'd recommend looking at this paper by Lumley and colleagues. Addition - 1st May   To the discharge of test–retest users, it must be acknowledged that correct methods for agreement, such as Bland–Altman’s plot or the concordance correlation coefficient, are still not yet directly available in standard commercial statistical packages, such as SAS, Stata, and SPSS. In some cases, third-party developed functions are by:

It would seem odd to discuss that particular test of the Pearson correlation without examining alternative tests - for example, permutation tests of the Pearson correlation, rank tests like Kendall's tau and Spearman's rho (which not only have good performance when the normal assumptions hold, but which also have direct relevance to the issue with copulas needed for a power study that I mentioned . In this paper the robustness of some well known correlation coefficients, namely, Pearson's, Spearman's and Kendall's, are examined. The empirical evidence shows that these correlation coefficients are sufficiently robust against a substantial number of outliers.

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### On robustness of tests of correlation coefficient by Gek-Choon Lee Download PDF EPUB FB2

The term “correlation” was introduced by Galton as a synonym for regression and the term “coefficient of correlation” was first used by Edgeworth, who also derived the first sample estimator of linear association.

Estimation and testing based on the correlation coefficient is one of the most used approaches towards examining the association between two continuous : Alan D. Hutson. ρ = population correlation coefficient (unknown) r = sample correlation coefficient (known; calculated from sample data) The hypothesis test lets us decide whether the value of the population correlation coefficient ρ is "close to zero" or "significantly different from zero".

We decide this based on the sample correlation coefficient r and the sample size n. on The Robustness of The Correlation Coefficient in Sampling from A Mixture Of Two Bivariate Normals Article (PDF Available) in Communication in Statistics- Theory and Methods 13(3) The standard Pearson Correlation test provides exact significance levels regardless of the distributions from which the data are drawn.

Its power is equivalent to that of the corresponding permutation test. Keywords and Phrases: correlation, ordered dose response, parametric test, permutation test, distribution-free test, robust Size: 82KB. Robust Permutation Tests For Correlation And Regression Coefficients.

Journal of the American Statistical Association: Vol. No. pp. Cited by:   The correlation coefficient, \ (r\), tells us about the strength and direction of the linear relationship between \ (x\) and \ (y\). However, the reliability of the linear model also depends on how many observed data points are in the sample.

We need to look at both the value of the correlation coefficient \ (r\) and the sample size \ (n. Testing the equality of two population correlation coefficients when the data are bivariate normal and Pearson correlation coefficients are used as estimates of the population parameters is a straightforward procedure covered in many introductory statistics courses.

The coefficients are converted using Fisher's z ‐transformation Cited by: The magnitude of the correlation coefficient indicates the strength of the association, e.g. A correlation of r = - suggests a strong, negative association (reverse trend) between two variables, whereas a correlation of r = suggest a weak, positive Size: 1MB.

At the same time, you also learn about a bevy of tests and additional analyses that you can run, called "robustness tests." These are things like the White test, the Hausman test, the overidentification test, the Breusch-Pagan test, or just running your model again with an additional control variable.

Start studying Psych Week 3 Book Notes. Learn vocabulary, terms, and more with flashcards, games, and other study tools. Strong correlation coefficients are between ____ and ____ which lowers the observed correlation for test/retest reliability.

Assumptions in Testing the Significance of the Correlation Coefficient. Testing the significance of the correlation coefficient requires that certain assumptions about the data are satisfied. The premise of this test is that the data are a sample of observed points taken from a larger population.

Subject: [R] how to test robustness of correlation Hi, there: As you all know, correlation is not a very robust procedure. Sometimes correlation could be driven by a few outliers. There are a few ways to improve the robustness of correlation (pearson correlation), either by outlier removal procedure, or resampling technique.

Robustness of correlation coefficient and variance ratio under elliptical symmetry. Bulletin of Malaysian Mathematical Sciences Society, Series 2, 36(2), (ISI).

This note examines the F-test for a set of linear restrictions on the parameters in the standard linear regression regressions without an intercept, it is shown that the F-test is extremely non-robust to autocorrelation, in the sense that the size of the tests tends to either one or zero as correlation among disturbances by: 6.

Robust Correlation via Robust Regression The problem of estimation of the correlation coefﬁcient is directly related to the linear regression problem of ﬁtting the straight line of the conditional expectation (Kendall and Stuart, ). E(Xj Y = y) = 1 + 1(y 2); E(Y j X= x) = 2 + 2(x 1): For the bivariate normal distribution (2), ˆ2 Cited by: CORRELATION WITH NON-NORMAL DATA 4 Pearson’s correlation, focusing on the robustness and power of Pearson’s r relative to resampling-based procedures (i.e., permutation and bootstrap tests), Spearman’s rank-order correlation, and correlation following nonlinear transformation of File Size: 1MB.

moment correlation coefficient. The robustness of r, when p X 0 has been examined both analytically. (~r~~r~~r9 ~ ) and empirically (see ~~~v~~s~~9for a review), with less agreement as to the effects.

of non-normality. Hi, there: As you all know, correlation is not a very robust procedure. Sometimes correlation could be driven by a few outliers. There are a few ways to improve the robustness of correlation (pearson correlation), either by outlier removal procedure, or resampling technique.

I am wondering if there is any R package or R code that have incorporated outlier removal or resampling. The correlation coefficient (r) is a common statistic for measuring the linear relationship between two variables (X and Y).

The Pearson correlation coefficent varies between −1 and +1 with +1 signifying a perfect positive relationship between X and Y (as X increases, Y increases). Pearson's Correlation Tests Introduction The correlation coefficient, ρ (rho), is a popular statistic for describing the strength of the relationship between two variables.

The correlation coefficient is the slope of the regression line between two variables when bothFile Size: KB. Robust Permutation Tests For Correlation And Regression Coeﬃcients Cyrus J.

DiCiccio 1 Department of Statistics Stanford University Joseph P. Romano 2 Departments of Statistics and Economics Stanford University August 6, Abstract Given a sample from a biviariate distribution, consider the problem of testing inde-pendence. Introduction.

Robust statistical procedures have been developed since the s (Tukey, ; Huber, ) to solve problems inherent in using classic parametric methods when assumptions are violated (Erceg-Hurn and Mirosevich, ).Although many scientists are aware of these techniques, and of their superiority in many cases, robust statistics are not widely used or even part of the Cited by: Tests for Intraclass Correlation.

Introduction. The intraclass correlation coefficient is often used as an index of reliability in a measurement study. In these studies, there are. K. observations made on each of. N. individuals. These individuals represent a factor observed at random. This design arises when. N. subjects are each rated by File Size: KB.