12b_Ch15_More_Correlation

12b_Ch15_More_Correlation - Topics . . . More on...

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More on Correlation Topics . . . A look at the definitional r computation Four typical uses for correlations Problems resulting from: – Restricted range – Outliers r 2 — coefficient of determination Hypothesis testing – does the correlation exist in the population? – hypotheses, computation, df Point-Biserial Correlation Phi-Coefficient Pearson Product-Moment Correlation Coefficient: Pearson r 1 0 -1 Points fall perfectly along a straight line Negative Slope Positive Slope Points fall perfectly along a straight line Points scattered randomly
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A look at how the equation works A look at how the equation works A look at how the equation works r = -1.00 A look at how the equation works
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r = -1.00 Mean = -1.00 A look at how the equation works z X z Y A look at how the equation works z X z Y A look at how the equation works z X z Y -1.22 0 1.22 -1.22 0 1.22 A look at how the equation works
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z X z Y 1.22 x 1.22 = 1.50 0 x 0 = 0 -1.22 x -1.22 = 1.50 r = z X z Y = 3.00 = 1.00 n 3 -1.22 0 1.22 -1.22 0 1.22 A look at how the equation works z X z Y z X z Y 1.22 x 1.07 = 1.31 0 x 0.27 = 0 -1.22 x -1.34 = 1.63 r = z X z Y = 2.94 = 0.98 n 3 A look at how the equation works z X z Y z X z Y z X z Y -1.22 0 1.22 -1.34 0.27 1.07 1.22 x 0.71 = 0.87 0 x 0.71 = 0 -1.22 x -1.41 = 1.72 r = z X z Y = 2.59 = 0.86 n 3 A look at how the equation works z X z Y z X z Y z X z Y -1.22 0 1.22 -1.41 0.71 1.22 x 0 = 0 0 x 1.22 = 0 -1.22 x -1.22 = 1.50 r = z X z Y = 1.50 = 0.50 n 3 A look at how the equation works z X z Y z X z Y z X z Y -1.22 0 1.22
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1.22 x -0.71 = -0.87 0 x 1.41 = 0 -1.22 x -0.71 = 0.87 r = z X z Y = 0 = 0.00 n 3 A look at how the equation works z X z Y z X z Y z X z Y -1.22 0 1.22 -0.71 1.41 1.22 x -1.07 = -1.31 0 x 1.34 = 0 -1.22 x -0.27 = 0.33 r = z X z Y = -0.98 = - 0.33 n 3 A look at how the equation works z X z Y z X z Y z X z Y -1.22 0 1.22 -1.07 -0.27 1.34 1.22 x -1.22 = -1.50 0 x 0 = 0 -1.22 x 1.22 = -1.50 r = z X z Y = -3.00 = - 1.00 n 3 A look at how the equation works z X z Y z X z Y z X z Y -1.22 0 1.22 -1.22 0 1.22 z X z Y 1.22 x 1.22 = 1.50 0 x 0 = 0 -1.22 x -1.22 = 1.50 r = z X z Y = 3.00 = 1.00 n 3 -1.22 0 1.22 A look at how the equation works z X z Y z X z Y -2 -1 0 1 2
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z X z Y 1.22 x 1.22 = 1.50 0 x 0 = 0 -1.22 x -1.22 = 1.50 r = z X z Y = 3.00 = 1.00 n 3 -1.22 0 1.22 -1.22 0 1.22 A look at how the equation works z X z Y z X z Y -2 -1 0 1 2 1.22 x 1.07 = 1.31 0 x 0.27 = 0 -1.22 x -1.34 = 1.63 r = z X z Y = 2.94 = 0.98 n 3 A look at how the equation works z X z Y z X z Y -2 -1 0 1 2 z X z Y -1.22 0 1.22 -1.34 0.27 1.07 1.22 x 0.71 = 0.87 0 x 0.71 = 0 -1.22 x -1.41 = 1.72 r = z X z Y = 2.59 = 0.86 n 3 A look at how the equation works z X z Y z X z Y -2 -1 0 1 2 z X z Y -1.22 0 1.22 -1.41 0.71 1.22 x 0 = 0 0 x 1.22 = 0 -1.22 x -1.22 = 1.50 r = z X z Y = 1.50 = 0.50 n 3 A look at how the equation works z X z Y z X z Y -2 -1 0 1 2 z X z Y -1.22 0 1.22
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1.22
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This note was uploaded on 08/22/2011 for the course PSY 207 taught by Professor Pfordesher during the Fall '07 term at SUNY Buffalo.

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12b_Ch15_More_Correlation - Topics . . . More on...

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