what is a partial correlation?
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What is a partial correlation?TRANSCRIPT
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What is a Partial Correlation?
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Welcome to this brief explanation on a Partial Correlation!
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Partial correlation is an expression of analyses of co-variance (ANCOVA) applied to questions of prediction and relationship
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Partial correlation is an expression of analyses of co-variance (ANCOVA) applied to questions of prediction and relationship
Prediction
&Relationship
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. . . rather than questions of differences addressed by ANCOVA.
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. . . rather than questions of differences addressed by ANCOVA.
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Partial correlation estimates the relationship between two variables while removing the influence of a third variable from the relationship.
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Partial correlation estimates the relationship between two variables while removing the influence of a third variable from the relationship.
Relationship between a guy and a girl
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Partial correlation estimates the relationship between two variables while removing the influence of a third variable from the relationship.
Taking out the effect of video games on that relationship
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For example, a researcher might want to know the relationship between height and weight.
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For example, a researcher might want to know the relationship between height and weight.
&
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However, she is aware that people’s bone and muscle structures vary according to gender.
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However, she is aware that people’s bone and muscle structures vary according to gender.
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She can calculate a partial correlation between height and weight while removing (holding constant, eliminating) the effect of gender on the correlation.
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She can calculate a partial correlation between height and weight while removing (holding constant, eliminating) the effect of gender on the correlation.
&
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She can calculate a partial correlation between height and weight while removing (holding constant, eliminating) the effect of gender on the correlation.
&
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She can calculate a partial correlation between height and weight while removing (holding constant, eliminating) the effect of gender on the correlation.
&The Effect of Gender
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Here’s the data set:
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Here’s the data set:
Individual Height (inches)
Weight (pounds)
Gender (1 – male, 2 – female)
A 73 240 1 B 70 210 1 C 69 180 1 D 68 160 1 E 70 150 2 F 68 140 2 G 67 135 2 H 62 120 2
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Here’s the data set:
Individual Height (inches)
Weight (pounds)
Gender (1 – male, 2 – female)
A 73 240 1 B 70 210 1 C 69 180 1 D 68 160 1 E 70 150 2 F 68 140 2 G 67 135 2 H 62 120 2
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First let’s see what the correlation between height and weight is and then we will see what the correlation would be if we controlled for gender
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Correlation between Height and Weight
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Correlation between Height and Weight
Individual Height (inches)
Weight (pounds)
Gender (1 – male, 2 – female)
A 73 240 1 B 70 210 1 C 69 180 1 D 68 160 1 E 70 150 2 F 68 140 2 G 67 135 2 H 62 120 2
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Correlation between Height and Weight
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Correlation between Height and Weight
& = .825
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However, when controlling for gender the correlation between height and weight is:
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However, when controlling for gender the correlation between height and weight is:
& controlling for
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However, when controlling for gender the correlation between height and weight is:
& controlling for
= .770
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While still large, the relationship between height and weight is accounted for in part by gender.
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While still large, the relationship between height and weight is accounted for in part by gender.
A partial correlation makes it
possible to eliminate the effect
of a third variable!