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August+10th+slides - Correlation August 10th 2009 Jeffrey...

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Correlation! August 10 th 2009 Jeffrey Vietri
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This week’s agenda Resolve questions about ANOVA Any questions? Correlation Today! Chi-Square Tomorrow! Final exam Wednesday!
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Today’s Agenda Correlation What does the sign mean? What does the number mean? How do we calculate it? Things to watch out for Quiz review Answer questions about quiz
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Correlational research uses subject variables or variables that the research did not manipulate to predict the DV Relationship between two variables Very limited evidence for causation “CORRELATION DOES NOT EQUAL CAUSATION” A causes B B causes A Z causes A and B But still uses hypothesis testing
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Scatterplot – a visual representation of the relationship between two variables Dots are members of population one variable is on the X- axis and one variable is on the Y-axis But, does it mean that building churches stimulates crime?
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Negative relationship individuals high on one variable are low on the other variable
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Positive relationship –individuals high on one variable are high on the other variable
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Correlation Coefficient a statistic (or parameter) used to express the extent that two variables are related Ranges from -1 to 1 In population, correlation is ρ (“rho”; pronounced “row”) In sample, correlation is r (Pearson’s r) Absolute numbers indicate the STRENGTH of correlation Sign indicates DIRECTION of correlation!
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Direction (+ /-) & Magnitude (0-1) Positive correlation – ( ρ > 0; r > 0) indicates a positive relationship Those with high values of A also have high values of B As A+, B+ As B+, A+
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