# Definitions for partial correlationpar·tial cor·re·la·tion

### Princeton's WordNetRate this definition:0.0 / 0 votes

1. partial correlationnoun

a correlation between two variables when the effects of one or more related variables are removed

### WikipediaRate this definition:0.0 / 0 votes

1. Partial correlation

In probability theory and statistics, partial correlation measures the degree of association between two random variables, with the effect of a set of controlling random variables removed. If we are interested in finding whether or to what extent there is a numerical relationship between two variables of interest, using their correlation coefficient will give misleading results if there is another, confounding, variable that is numerically related to both variables of interest. This misleading information can be avoided by controlling for the confounding variable, which is done by computing the partial correlation coefficient. This is precisely the motivation for including other right-side variables in a multiple regression; but while multiple regression gives unbiased results for the effect size, it does not give a numerical value of a measure of the strength of the relationship between the two variables of interest. For example, if we have economic data on the consumption, income, and wealth of various individuals and we wish to see if there is a relationship between consumption and income, failing to control for wealth when computing a correlation coefficient between consumption and income would give a misleading result, since income might be numerically related to wealth which in turn might be numerically related to consumption; a measured correlation between consumption and income might actually be contaminated by these other correlations. The use of a partial correlation avoids this problem. Like the correlation coefficient, the partial correlation coefficient takes on a value in the range from –1 to 1. The value –1 conveys a perfect negative correlation controlling for some variables (that is, an exact linear relationship in which higher values of one variable are associated with lower values of the other); the value 1 conveys a perfect positive linear relationship, and the value 0 conveys that there is no linear relationship. The partial correlation coincides with the conditional correlation if the random variables are jointly distributed as the multivariate normal, other elliptical, multivariate hypergeometric, multivariate negative hypergeometric, multinomial or Dirichlet distribution, but not in general otherwise.

### ChatGPTRate this definition:0.0 / 0 votes

1. partial correlation

Partial correlation is a statistical measure that describes the association between two variables while taking into consideration the effects of one or more additional variables. This means it adjusts for the impact of other influencing factors, providing a more accurate view of the direct relationship between the two primary variables of interest. It ranges from -1 to 1, similar to correlation, where -1 indicates a perfect negative relationship, 1 indicates a perfect positive relationship, and 0 indicates no relationship.

### FreebaseRate this definition:0.0 / 0 votes

1. Partial correlation

In probability theory and statistics, partial correlation measures the degree of association between two random variables, with the effect of a set of controlling random variables removed.

### Numerology

1. Chaldean Numerology

The numerical value of partial correlation in Chaldean Numerology is: 6

2. Pythagorean Numerology

The numerical value of partial correlation in Pythagorean Numerology is: 9

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