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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Pearson chi square and correlation
My data are ordinal
Pearson chi squared test value is 4.664
And asymp sig is 0.97 so the data are independent
However pearson's R =-0.309
And the approx sig=0.037
Can they be independent and ...
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Which correlation test to use
I'm working with datasets on economic inequality and crime rates at the county level to produce correlation matrices. My economic inequality data has several variables, which are percentage of county ...
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Interpretation of ICC and Pearson's r correlation
I am calculating intraclass correlation coefficient (ICC) values for response values at two different timepoints. I am also correlating the response values at the different timepoints using Pearson's $...
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Should one account for the known variance of fixed X when estimating its relationship with random Y?
In Aldrich (2005), and specifically in sections 10 and 11, the author describes the sufficient statistic for the parameter $\beta$ in the simple regression of random $Y$ on fixed $X$, with a bivariate ...
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What is the minimum Pearson sample correlation given a perfect sample rank correlation with no ties? [duplicate]
Let $(X, Y)$ be a random sample of finite size $n$ from a bivariate continuous distribution with unknown parameters $(\rho_{XY},\mu_X,\mu_Y,\sigma_X,\sigma_Y)$. Assume observed values are real numbers ...
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Correlation of Group of Questions in Likert Scale answers
let's say that we have a response survey data frame with 6 columns.Each column is a question.Q1,Q2,Q3,...,Q6. The responses are from 1 to 5. 1 is translated to Very Bad,4 to Bad,3 to neutral,2 to good,...
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Test for multicollinearity with binary and continuous independent variables
I have a question concerning multicollinearity: I have several independent variables. Some are binary and some continuous. The dependent variable is binary. Can I use the Pearson correlations to test ...
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How does knowing the sign of the population correlation affect the sufficiency of its statistic?
As noted here, the sufficient statistic for the correlation under bivariate normality is Pearson's $r$, the maximum likelihood estimate of $\rho$. I suppose, however, this does not guarantee that $r$ ...
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Why can't fit I fit a multivariate regression (OPLS) model when my variables are univariately (Pearson/Spearman) correlated?
I have a dataset of 950 lipids (X) and want to see if any are correlated with cognitive function (Y). When I try to fit an opls regression model, it errors and says that "No model was built ...
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Normality of $z$ transformation without preliminary assumption
Assuming data $X_1,...,X_n, Y_1,...,Y_n$ we have Pearson correlation $r=\frac{Cov(X,Y)}{\sigma_X\sigma_Y}$. Fisher's $z$ transform is then $$z=0.5\log\left(\frac{1+r}{1-r}\right)=\tanh^{-1}(r)$$
If $(...
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Doing an independent study as a high schooler but can't seem to figure out the values that need to be used to get pearson's correlation coefficient
Here's the database, it's a rather small one: https://www.theadgalternative.com/world_cup_data.html
I dont understand what my N, X, and Y values would be since nothing is really quantitative.
I'm ...
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Cronbach alpha - descriptive statistics
I researched thinking styles based on Sternberg's Investment Theory. I used a TSI questionnaire that measures preferences in thinking styles. The problem is that I got low scores of Cronbach's alpha ...
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How to check linear independence of categorical features with a numerical target?
Suppose I am doing linear regression on a dataset. My dataset contains columns f1, f2 ,f3 ,f4 , f5 , target
. Features (independent variables) are the column names starting with "f" and my ...
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Pearson correlation p-values plot which method better adjusted my p-values BH or BY? help me understand
I'm working on DEG dataset and I've done Pearson correlation to prepare my dataset for downstream analysis (co-expression network), so this isn't an exploration phase. When I do pearson on R using ...
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What is a good journal for submitting my article on a conjecture in theoretical statistics, re: ancillary complement for correlation?
I'm working on a draft of a statistics article, and I'd like to plan for the journal where I'll ultimately submit. My problem is, the article topic is somewhat abstract—it's a conjecture in ...
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What references discuss the problems with phi as an association measure?
(Olivier (2013) states that
many have pointed out problems with $\phi$ as an association measure and advocate the use of odds ratios as an alternative
Unfortunately, it does not give citations for ...
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Pearson & Spearman correlation coefficient in their extreme
I am working right now in R with correlation coefficients. I know that we can achieve approximately a Pearson coefficient r=0 and Spearman p=1, because Pearson is sensitive to outliers. However, I was ...
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When to use Pearson's test and when to use Spearman's test?
I want to do a correlation analysis on a dataset of 28 samples.
I want to correlate the age with the size of a reflex response.
But I don't understand whether I should use Pearson's or Spearman's test....
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Deducing from Ordinal to Binary Data
Assume I have two rank vectors $r^A, r^B$ of size $p$ - that is, each of them is some permutation of $1,...,p$. For the sake of simplicity, assume that $p$ is odd.
Now, I take these vectors and recode ...
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Pearson or Spearman? [duplicate]
After using the Shapiro-Wilk test for Bivariate Normality, I found different values of p. For the ones which were p<0.05 I used Spearman and the ones which were p>0.05 I used Pearson. Is it the ...
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How do zero values affect the correlation between two twitter activity time series?
I have a time series of Twitter activities (lets call it time series 0) from which I extract two separate time series based on different sets of users (i.e. time series 1 contains the activity of a ...
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Can I do Pearson cross-correlation between two time series of Twitter data without violating the assumptions?
I have a dataset of Tweets regarding a given topic (extracted by predefined keywords and hashtags). I aggregated the Tweets in bins of time (e.g. every ten minutes) to generate a time series of the ...
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How to decorrelate $X$ and $X^3$?
We know that if $X$ is positive, then $X^2$ is highly positively correlated with $X$.
I've plotted an array of integer numbers from 100 and 110 with the following code:
...
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If X is positively correlated with Y and Y is positively correlated with Z, it is still possible for Z to be negatively correlated with X? [duplicate]
This is not assuming a perfect correlation between variables. I believe that the answer is yes as long as r<1.0. (r = Pearson product-moment correlation coefficient.)
Bonus: if the question is ...
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What statistical test should I use for my dataset - Pearson's or Spearman's?
I'm not quite sure what statistical test I should be conducting for my dataset. I am aiming to find the correlation between two variables (concentration of copper vs concentration of chlorophyll). My ...
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Yes or no: is Pearson’s r is a measure of goodness of fit to an affine function? [duplicate]
Is the statement "Pearson’s r is a measure of goodness of fit to an affine function" literally true? Why or why not?
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The meaning of the p-value for a correlation coefficient
Recently, I learnt that one can also calculate a p-value for the Pearson correlation coefficient. My question is not about computation of this p-value. (Based on what I read from other posts, we first ...
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Testing for correlation
I'm new to statistics. I'm solving a problem where I'm given three sets of data, the measured sizes of the population of rabbits, the drug dose that's been given to each of them and the method of ...
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Selection of covariates for partial correlation?
Are there any recommendations on procedures to identify relevant variables for a partial correlation between $r(X, Y)$?
To me, it appears most reasonable to only include those $Z_1, Z_2,\ldots,Z_n$ as ...
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correlation that is less sensitive to neighboring class changes
I am calculating the correlation between the scores a radiologist attributes to an MRI image (discrete 0,1,2,3), against the continuous quantification of disease (continuous between 0 and 1). I see a ...
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