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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Why would Conversions and Conversion Rate not correlate strongly?

Do any of you know, or have thoughts about, why website Conversions and Conversion Rate would not give a strongly correlating r-value (pearson)? When analysing some data I'm getting r-values of around ...
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1answer
21 views

Inferencing from Pearson correlation and multiple linear regression

My hypothesis is: Company size (CSIZE) is positively correlated with Return on Assets (ROA). I create a Pearson correlation matrix in Stata using pwcorr csize roa ...
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21 views

Do I have a correlation here or not?

I am writing my thesis at the moment and I am pretty new with statistics. I tired to google around but I don’t know what to do anymore, since I don’t really find an answer in this case. I hope you can ...
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136 views

How to extract distribution information from descriptive statistics?

In my thesis, I am trying to perform a Monte Carlo simulation with a set of parameters, where I take a random value from a known distribution to calculate a singe run of the simulation. However, for ...
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20 views

Pearson's r and Cohen's d

I am analyzing the relationship between 3 variables (identification rate (ID) of students with disabilities, per pupil expenditures (PPE), and graduation rate (GR)) in the following format: 1. ID - ...
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1answer
44 views

Correlation between two 2D arrays

I could not find anywhere, how to calculate correlation between two arrays. Say I do have Array1 with X and Y values and also Array2 with X and Y values. I tried to do some calculation and inserting ...
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15 views

R - Pearson correlation in assessing multivariate regression performances

How to assess the performance of the multivariate regression outputs in different scenarios using Pearson's correlation in R ? Is it a straight process to compare the correlation of expected values ...
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1answer
32 views

Weather information inversion

Supose I have a dataset containing mean temperatures for each month. In my region this means -Celsius in winter months and positive values in other months. I need to inverse this data. Have no ...
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21 views

Bias of sample correlation for discrete distributions

Is there a proof showing the bias (or lack thereof) of the sample Pearson's correlation for discrete interval variables? In particular, I am interested in how such a proof handles the expected value ...
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1answer
30 views

Pearson's r and what its value represents and how it varies?

this question was asked in Basic Statistics Course on Coursera website. What can you conclude about a Pearson's r that is bigger than 1? Options: The correlation is very high. This is impossible. ...
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11 views

Excel function (or macro) for cross-correlation between dichotomous or binary (e.g., 1 or 0) variables?

I have an Excel spreadsheet with columns of different variables that are dichotomous or binary. These variables can take on values of either 1 or 0. I want to find cross-correlations between any two ...
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19 views

Reverse solve chi-squre statistic to find number of observations

I am trying to prove that two proportions are equal with 95% confidence. I have a total population Tp (10000), and wins in that population of Wp (2000). My sample size is Ts (1500). I need to solve ...
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1answer
41 views

How can I combine nominal with ordinal data to build a unique variable?

I performed an Interview with 44 questions Protocol. The structure of questions is based on 18 variables. Major variables are coming from theory. Every major variable consists of 3,4 or more question ...
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0answers
12 views

Several variables in correlation matrix output

I'd like to improve a big correlation matrix output correla, because I want to see significante values (p<0.05) but with my code is very dificult to find ...
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0answers
12 views

Comparing Self-Report Data to Binary results

I have two sets of data: DES scores (self-report) and whether dissociation was experienced during an experiment (yes or no). My sample size is 83 (71 no, 12 yes). I want to know if high DES scores are ...
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1answer
46 views

Are Pearson test and Chi-square test the same

I'm a bit confused with Chi-square and Pearson. I know Chi-square is: Chi-square = E (sum of) (Oi - Ei)-square / Ei What would the Pearson formula be if it is different? I don't think it is ...
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50 views

Where does the argument “Pearson's correlation coefficient assumes normality” come from?

Related1: Pearson's or Spearman's correlation with non-normal data Related2: How robust is Pearson's correlation coefficient to violations of normality? Related3: Why is Pearson's ρ ...
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2answers
58 views

Interpreting correlations

Please may someone help me understand how to interpret a positive correlation i have found between a variable and the demographic of ethnicity. Basically i have found ethnicity to be positively ...
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13 views

Correlation and then a multiple regression

I have used a pearson correlation to see if certain variables that other people have found to predict the Dependent variable do occur (so I can use them as covariates later on). I then wanted to do a ...
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23 views

Pearson correlation after aggregation

The following table represents values about a variable Y observed in five people; I know the age of each person. ...
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12 views

Is there a way to find the components that contribute in a relevant way to the correlation?

Given two vectors $x$ and $y$ of size $N$, suppose that they are not correlated in the subspace composed by $M$ components, but are correlated in the remaining $F=N-M$ components. I would like to ...
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15 views

Pearson correlation of neural responses with it's linear estimation

I am trying to anderstand the following fact: Suppose I have a linear estimation of a stimulus: $ \hat{s} = \mathbf{w}^T(\mathbf{r} - \mathbf{f}(s_0)) + s_0$ where $\mathbf{w}$ is a vector of ...
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17 views

How to compute Pearson Correlation between 2 given vectors? [duplicate]

I have to code this in C# Can you explain step by step in the below given example? vector 1 : [0.3, 0, 1.7, 2.2] vector 2 : [0, 3.3, 1.2, 0] Ty very much This ...
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2answers
66 views

Why is the pearson correlation between the 40 and 60 percentile much lower than with the full range?

Intuitively given the definition of pearson correlation coefficient, I thought at first that partitioning the full range to the data between the 20 and 40 percentile (closer to the median/mean for ...
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13 views

How to compute correlation when deviations on a variable are known

I have two vectors $X$ and $Y$. $Y$ is a binary vector (i.e. takes values between $0$ and $1$). I have a standard deviation vector $d_X$ corresponding to $X$, i.e. $d_X(i)$ is the standard deviation ...
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2answers
97 views

How to calculate 95% CI for Cohen's q?

I have two questions with respect to comparing two correlation coefficients. Cohen (1977) suggested to use Cohen's q to compare two Pearson's correlation coefficients by first transforming r with ...
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1answer
49 views

Correlation analysis among large number of variables

How can I check correlation among large number of variables? I can check the scatter plot between every pair of variables and pearson coefficient r if the number is ...
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28 views

What statistical tests to use?

My topic is on A Study of Budget Slack and the Influence of Budget Participation on Budget Slack. My research objectives are to study the relationship between budget participation, procedural ...
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1answer
399 views

What is the distribution of sample correlation coefficients between two uncorrelated normal variables?

I want to compare observed bivariate (Pearson's $\rho$ and Spearman's $\rho$) correlations coefficients with what would be expected from random data. Assume that we measure, say, 36, cases across ...
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20 views

Is Pearson correlation on graphs a valid approach to compare undirected weighted graphs?

I have came to several instances where researchers use Pearson correlation to compare edges of two graphs to find out if they are similar. For example, given two symmetric adjacency (proximity) ...
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1answer
18 views

converting a chi-square with more than one degree of freedom into a pearsons r

I want to run a power analysis for a study using correlations between two continuous variables. Previous research with the variable I am interested in used a Kruskal-Wallis test to look at differences ...
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1answer
158 views

Two Sample chi squared test

This question is from Van der Vaart's book Asymptotic Statistics, pg. 253. #3: Suppose that $\mathbf{X}_m$ and $\mathbf{Y}_n$ are independent multinomial vectors with parameters $(m,a_1,\ldots,a_k)$ ...
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24 views

Calculate within and between group correlation

MY DATA: A surveys which contains 2 different questionnaires on the same subject which were taken by n=800 patients (i.e., timepoint) (#1 questionnaire: 5 questions which reach a total score of 0-42, ...
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1answer
160 views

K-Means Clustering using modified correlation (1 - pearson correlation coefficient)

I am trying to implement k-means clustering on a 6x6 data set that looks like this: 2 3 6 0 1 7 4 9 9 6 2 2 0 1 7 9 5 0 2 3 2 7 8 3 8 2 9 2 3 1 8 0 0 1 7 9 Using ...
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22 views

pearsons vs spearmans [duplicate]

-two sets of samples (n=10) for each. each set has one outlier. -input is log-transformed and pareto-scaled values of intensity levels of different metabolites in each of the 20 samples, as detected ...
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40 views

Pearson correlation with missing values

I am trying to correlate dendrochronological data with climate data. The first one is acquired directly from trees, the second one from various stations from around the world. According to the formula ...
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0answers
20 views

Confusion about Matthew's correlation coefficient being equivalent with Pearson's r

It has been suggested that Matthew's correlation coefficient (MCC) is actually the application of Pearson's r to binary variables (Relation between the phi, Matthews and Pearson correlation ...
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123 views

Why is Pearson Principal Component Analysis so much more common than Spearman or Kendall PCA?

As I understand it, Pearson PCA finds eigenvectors of the Pearson correlation matrix. The result is a coordinate system with dimensions that are linearly uncorrelated. But, a Spearman PCA does this ...
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46 views

Is Pearson Coefficient applicable to my data (mixed variable types)?

TL:DR is Pearson correlation acceptable for a binary variable? For my study I have measured and determined a "change in anxiety" in a group of students (the change has been found significant with ...
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55 views

FDR correction for multiple comparisons with Pearson's correlation and linear regression

I'm trying to correlate a measurement (survival after treatment with 'x') with gene expression data for > 10,000 genes across ~ 30 samples (cell lines) and I think I need to correct the significance ...
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2answers
61 views

How to test the linearity between two non normal distributed variables

I have two variables $(x_i,y_i), \; i=1, \dots 300$ and I would have liked to apply a linear regression on them, but as you can see in the scatterplot below I have a very bad linear trend. As I need ...
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22 views

Comparing two correlation coefficients

I want to do an investigation into the correlation between 2 pointers scored and games won and 3 pointers scored and games won in the NBA. However I have got two questions: I know the process of ...
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45 views

Correlation between time series obtained from multiple subjects, SPSS

I have designed experiment in which all subjects are performing the same exact task, with no variations. The task is a tracking task in which the subject has to keep a marker inside a circle, using ...
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0answers
11 views

statistics to use for a mobile based health intervention aimed to increase physical activity

I am trying to understand how a mobile application will increase the number of steps taken. We are measuring their BMI and waist circumference before and after 6 months and taking measurements of the ...
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0answers
18 views

Correlation robust to outliers

I am concerned with Pearson correlation. My idea is to throw away the outliers in terms of absolute value, as it seems appropriate to my case. However, I don't know if I should do it only according to ...
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13 views

Hybrid linear and rank order correlation?

I know that the standard Pearson correlation is useful when the two variables are supposed to have a linearly relationship. I also know that if the absolute value of the variables doesn't matter, but ...
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2answers
72 views

How can I calculate what observation characterizes the relationship of two variables?

I have two variables. Variable 1:The prevalences of infection with Schistosoma (+ve, -ve) Variable 2:Different occupations in a rural area in central Africa (Fishermes, Farmers, Traders, Craftsmen) ...
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1answer
137 views

Visualizing pairwise Pearson correlation between matrices

The task is that I'm trying to assess the degree to which the features in matrix A is captured by the features in matrix B. For each feature in a matrix A I want to find the most strongly correlated ...
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52 views

How to chose the right analysis and tests

In R I have two datasets data1 and data2. The datasets contain data of user, a game they have played, and the number of time ...
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24 views

On interpreting the statistical significance of R squared

I have performed a linear regression analysis to two series of data, each of which has 50 values. I did the analysis in SPSS and as a result got a table which says ...