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Questions tagged [pearson-r]

The Pearson product-moment correlation coefficient is a measure of the linear relationship between two variables $X$ and $Y$, giving a value between +1 and −1.

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Difference between Euclidean ,Pearson, Geodesic and Mahalanobis distance metrics

Given a set of samples $X$. We are tasked to find an appropriate distance metric for $X$ from the given options which are Euclidean Pearson Geodesic and Mahalanobis distance metrics. To solve this, ...
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50 views

Does data normalization and transformation change the Pearson's correlation?

As we know that Pearson's correlation measures the linearity between two variables, I am wondering when applying normalization and transformation on the original dataset, does the normalization and ...
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59 views

Difference between Cronbach's alpha and Pearson's coefficient

I am creating an indicator for social development which includes variables of health, education and economy. Since I have many variables, I decided to remove some of them based on dominion expertise ...
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Correlation between two lists of ones and zeros [duplicate]

I am wanting to compare two lists of yes / no answers (as 1 and 0). One list is a 'control' the other 'intervention'. Corresponding positions on the lists are answers to the same question. I am ...
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27 views

Can anyone explain it to me why correlation between the variables (X and Y) is what it is?

The figure on left looks less scattered (the axis is compressed) but has lower correlation. Whereas, the figure on right has multiple association for same value of X (i.e. X=0).
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Generate value of variables for given correlation coefficient

I would like to generate test data for script used for correlation analysis between quite long variables. Is it possible for a given length of vectors, to generate in relatively simple way ...
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75 views

is it scientifically correct to label data by model built using golden data?

I am trying to find a labeled dataset for users profiles pictures with their personality traits scores. Unfortunately, I did not find any and therefore, I decided to crawl twitter for public users ...
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103 views

Explaining the difference between Pearson correlation and distance correlation

This question and its answer might highlight my naivete regarding Brownian/distance correlation. I'm using the difference between a matrix of distance correlations, as calculated by ...
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12 views

How to find influance on correlation of single value

I need to find possible errors or outliers in my data sets. I want to find most affecting values of my pearson correlation. For example let say we got two data sets for X and Y: ...
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30 views

How do I determine the critical r value for Pearson correlation if I compute the result via bootstrapping?

The critical r value for a Pearson correlation analysis depends on sample size. For example, consider a test with the following parameters: n = 20 alpha = .05 I ...
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Reasons for reporting Pearson's r for / alongside standardized mean difference effect size (Cohen's d)

What are the practical use-cases and / or reasons for reporting Pearson's r alongside Cohen's d? This question is a followup to this post where the conversion itself is discussed. Since r calculated ...
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204 views

Converting between correlation and effect size (Cohen's d)

Several sources (here here here) claim that there is a relation between Cohen's d and Pearson's r if the data is paired (bivariate). This strikes me as odd since, for example, evaluating a "before and ...
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46 views

Test selection: Biserial correlation versus independent samples t-test?

My stats textbook is telling me that you can use a Pearson's r with a dichotomous variable and a continuous dependent variable, which is known as a biserial correlation (or point-biserial if the ...
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43 views

Pearson Correlation of same values

I got this problem while computing the pearson correlation of two datasets where one set consists of the same value. For example this pandas DataFrame: ...
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27 views

Pearson correlation critical level values formula

As statistics is not my domain, I have got hard time to find and understand all missing pieces. I have seen many tables with critical levels for pearson-r but I can't find any formula I can trust. ...
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115 views

Corelation between two dichotomous variables

I have a data from a research with responses (yes/no) about three questions (A,B,C) and I would to see if the variables are correlated. First of all i compared the proportion of agreement(yes-yes, no-...
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49 views

Testing signficance of correlation

I have been trying to study on how to test significance for a correlation coefficient. So far I have seen that we calculate a value t and then either use p-value or critical value from the t-table to ...
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95 views

If x and y are uncorrelated with z, does is follow that x/y uncorrelated with z?

In other words, if the Pearson r between x and z, and between y and z, is zero, does it follow that x/y is uncorrelated with z?
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129 views

Multivariate form of Pearson Correlation?

Suppose I have the following dataset below: With my understanding of Pearson's Correlation Coefficient, I could get a coefficient for Percentage Use vs. Average Age between timepoints. However, is ...
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39 views

Pearson correlation in data set with “jump”

I'm trying to calculate the correlation between the condition number of a finite elements matrix and the coarseness of the mesh that it represents. However, when trying to calculate the Pearson ...
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Pearson and R^2 Correlation between three variables

Get it from someone else but don't quite know how to answer. If $\rho_{X,Z}=0.4$, $\rho_{Y,Z}=0.3$, what is the range of $\rho_{X,Y}$? Here $\rho$ is the Pearson correlation coefficient. We run a ...
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195 views

How to compare concordance correlation coefficient to Pearson's r?

I am writing a meta-analysis looking at the correlation between different tests for assessing body composition. The results of the studies that I have included use different ways to calculate the ...
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2answers
619 views

Is Spearman correlation never greater than Pearson correlation?

If Spearman correlation is Pearson correlation, but on ranks of the data - does it mean that absolute Spearman will always be lower or equal to absolute Pearson correlation, but never greater? Is it ...
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183 views

Correlation coefficient on binary variables

I have two binary variables and want to test their association. From what I've read I need to use the chi-squared ($χ^2$) test. The measure of their association is then described through the Phi ...
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142 views

Comparing sample correlation coefficient with population correlation coefficient

Assume there is a population, P, of size N. Each member of the population has three variables associated with it, a nominal variable C (with m unique categories), and two continuous variables X and Y....
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Testing the significance between two correlations in Python.

I've seen some similar articles using R but I'm not sure how to implement this test in python. Suppose I have two datasets, A and B (both contain 35 datapoints), and they predict some time series of ...
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60 views

In what instance would r, R, and β be the same? [closed]

I understand that r tells us the strength of the linear relationship between two variables, R shows how closely two variables, and β shows which dependent variables would change if we change the ...
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What is the difference between each predictor's standardized betas (from multiple regression) and it's Pearson's correlation coefficient?

Say we have a multiple regression model with three predictors and one outcome variable. Each predictor has it's associated standardized beta, which tells you how many standard deviations the outcome ...
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445 views

Correlation between a continous and integer variable

I would like to calculate the correlation between two variables. The first variable is continous and represents a performance measure. The second variable is an integer in the range from one to nine ...
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1answer
31 views

How to calculate Mean Sample-Based Reliability Estimates Used for Analyses

I am conducting a meta analysis of Pearson's r , of correlations presented between test scores and job performance ratings. I need to present an uncorrected effect size and an effect size corrected ...
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33 views

Average sample size of two fishers z correlations

I am conducting a meta analysis of Pearson's r correlations. As there are two correlations , sometimes three , for the same study and dependent variable I have averaged the correlations via fishers z ...
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1answer
40 views

Averaging of two or more standard erros

I have calculated two standard errors for two fishers z correlations from the same study , both measuring the same variable. Is it acceptable for me to average the two standard errors into one? If so ,...
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Average sample size from combined correlations in fishers z [duplicate]

I have combined several correlations into fishers z scores for meta analysis. Most of the combined correlations are measuring the same construct within the same study. I now need to calculate the ...
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46 views

A visual explanation regarding a generalised Pearson's correlation for two variables

This is a textbook exercise that might be seen as a generalisation of Pearson's product-moment correlation coefficient between two variables, with multiple groups each having variable sizes: Let ...
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Calculating variance from standard error of pearsons r correlations z scores [duplicate]

I understand that to calculate the standard error of a pearsons r correlation converted to a z score you follow - 1 / (√N−3) But how do you calculate the variance from the standard error please? I ...
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calculating corrected mean population level estimates of criterion-related validity

I am conducting a meta - analysis of pearsons r correlations.I am wondering how I calculate corrected mean population level estimates of the criterion-related validity of each construct domain please? ...
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35 views

Independent & non independent effect sizes/correlations for meta analysis

I am conducting a meta analysis of pearsons r correlations and would like to double check my understanding of independent and non- independent effect sizes/correlations. Am I correct in understanding ...
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234 views

How to calculate Inverse variance weight of several pearsons r correlations

I have a set of pearsons r effect sizes , converted to fishers z scores for meta analysis. I am wondering what data I need to calculate an inverse variance weight for each effect size and how I ...
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136 views

can you transform spearmans r into pearsons r for meta analysis

my meta analysis involves the calculation of overall effect size based on pearsons r correlations within studies. I am already converting the pearsons r to fishers z scores for analysis but I have a ...
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Contrasting effects on correlation between two variables with increase or change in dataset

I am trying to analyze two variables: Currency exchange rate and Stock price of a company. I am computing the correlation between them to determine whether the currency exchange rate has some effect ...
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60 views

Estimating values knowing their Pearson's r and their means and standard deviations

I apologize if my question is exceedingly simple. Imagine, for example, I am studying a paper which explains that two variables correlate with a certain Pearson's r (no p-value, no confidence interval,...
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Is it possible to calculate an average correlation of r from several correlations of r? [duplicate]

Any help would be appreciated. I have a table presenting multiple r correlations between various formats of the same test and the construct/dimensions it purports to measure. Is there an acceptable ...
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86 views

Should I calculate RSS using regression of identity line instead of Estimated values?

I have two paired datasets, one of them has linearly increasing ground-truth fat values (let's call it Ftrue) and the other has fat estimation values trying to guess the first ones (call it Fest), ...
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99 views

Direction of correlation

There are two interdependent variables - experience and fun. Using a correlation, we can only say how fun and experience are related, and the strength of the relationship. My question is how do I ...
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114 views

Difference between cross-correlation and Pearson / Spearman

I'm trying to find the best way to look for common trends in 10 time-series that I have. I'm confused by what I'm reading regarding the best way to go about this. I see people talking about the ...
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2answers
263 views

Derive Spearman correlation (rather than Pearson's) coefficient from a univariate regression?

In univariate regression, the standardized coefficient is equal to the Pearson correlation coefficient. When the two variables are ranked variables, Spearman correlation would be appropriate. Is it ...
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638 views

What are the original assumptions for Pearson's correlation coefficient?

I think I've found the original paper from Pearson on correlation coefficients (equation on p 279, also cited here), but I'm not sure it's the right one. Pearson mentions normality multiple times in ...
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22 views

Correlation between event and number of hits

I want to ascertain the correlation between the number of google search hits for a topic over a 7 day period before and after an awareness day for that topic. I then need to compare this correlation ...
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41 views

Consider an ordinal variable as continuos for correlation with a continous variable

I need to analyse the results of a survey. Among the different questions I have: "How happy did you feel last month"?. There are 5 possible answers: Not at all Not very Somewhat Very Completely Now,...
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2k views

Interpretation of the Pearson Correlation with respect to Z-Scores

I'm TAing an introductory statistics course, and we're getting questions about a line from the students' SPSS lab guide. It has to do with interpreting Pearson's r, and I've never quite seen it ...