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Correlation

Correlation. Overview. Defined: The measure of the strength and direction of the linear relationship between two variables. Variables: IV is continuous, DV is continuous Relationship: Relationship amongst variables

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Correlation

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  1. Correlation

  2. Overview Defined: The measure of the strength and direction of the linear relationship between two variables. Variables: IV is continuous, DV is continuous Relationship: Relationship amongst variables Example: Relationship between height and weight. Assumptions: Normality. Linearity.

  3. Strength: ranges from 0 to 1 (or -1)Direction: positive or negative See this link for interactive way to look at scatterplots

  4. Correlation Coefficient • A measure of degree of relationship. • Based on covariance • Measure of degree to which large scores go with large scores, and small scores with small scores • Covariance Formula = Covxy = Σ(X-X)(Y-Y) • Correlation Formula = r = Covxy (SSx)(SSy)

  5. r = Σ(X-X)(Y-Y) = CovXY Σ[(X-X)2][(Y-Y)2] (SSX)(SSY) • r = 900 = 900 = .90 (100,000)(10) 1000

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