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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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30 views

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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53 views
+50

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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37 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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8 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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14 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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9 views

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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1answer
53 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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22 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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1answer
37 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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1answer
19 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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31 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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1answer
45 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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1answer
69 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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80 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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1answer
34 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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0answers
30 views

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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1answer
148 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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51 views

Can I calculate Pearson's correlation coefficient, $r$, for variables with categorical and numerical values?

I have been reading a paper and I have found a table that felt very strange for me. The researchers have calculated $r$ value and related it to a categorical factor. From my knowledge $r$ is a ...
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2answers
560 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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122 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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88 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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1answer
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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28 views

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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2answers
359 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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71 views

P-Values: Pearson Correlation and T-tests

I am trying to draw some statistics out of correlation data and want to better understand two different ways in particular for determining 'significance'... I am not a statistician and have limited ...
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1answer
28 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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1answer
32 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
37 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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1answer
43 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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20 views

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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25 views

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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27 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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1answer
180 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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101 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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1answer
44 views

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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1answer
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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63 views

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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85 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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3answers
94 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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0answers
91 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
222 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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0answers
484 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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19 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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39 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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2answers
1k 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 ...
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122 views

Shared variance

How much greater is the shared variance between two variables if the Pearson correlation coefficient between them is -.4 than if it is .2? Can someone help me understand how to calculate this?
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56 views

Adjust coefficient pearson as CNN loss function

I am trying to create a CNN (using python Keras) that runs on medical images of cancer and classifies them as cancerous or not. (Sample sizes vary between 30,000-280,000 on each trial run). As an ...
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2answers
706 views

How to know whether Pearson's or Spearman's correlation is better to use?

I have this question that is really confusing. I already know that Pearson is used for normal distribution and Spearman for the opposite, but how do we apply this to the question? As you can see, ...