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Chp 15 Inferential Statistics Part 1 (student)-1

# Chp 15 Inferential Statistics Part 1 (student)-1 -...

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Inferential Statistics Chapter 14 & 15

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Overview Finish Chp 14  Correlations Chp 15 Symbols & Terms Hypothesis Testing Sampling Distributions Estimation
Inferential Statistics Test hypotheses Correlations: Relationship between IV and DV 2 Interval or Ratio variables T-Tests: Differences between 2 groups Nominal IV, Interval or Ratio DV

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Review: Correlations Correlation   when two variables change together Correlation Coefficient ( r ) : number indicating the  strength  and  direction  a linear relationship between  two variables.  Both variables need to have interval  or ratio  level data.
Exercise Health Problems

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Calculating Correlations Suppose you collected data on IQ and  the number of episodes of Jersey  Shore that people watched.  Here  are the relevant data Name IQ Hours watching JS Kristin 119 2 Darrell 124 2 Privia 90 14 Eileen 110 10 Connor 111 5 Jamal 110 7 Crystal 114 6 Natalie 127 0 Deepa 105 11 Melinda 100 13       (z Σ xz y)  N r =
Plan of attack: Calculating  Correlations 1. Calculate Mean and Standard Deviation for  each variable 2. Calculate each person’s Z-score for variables x  and y 3. Multiply each person’s Z-scores together 4. Add the Z-score products together 5. Divide by number of subjects

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Descriptives Step 1:  Calculate Mean and Standard Deviation  for variables IQ : Mean=111, s=10.48 Hours : Mean=7, s=4.63
Calculating Correlations Name IQ Hours watching Jersey Shore Kristin 120 2 Darrell 124 2 Privia 90 14 Eileen 110 10 Connor 111 5 Jamal 110 7 Crystal 114 6 Natalie 127 0 Jana 105 11 Deepa 100 13 .86 1.24 -2.00 -.10 0 -.10 .29 1.53 -.57 -1.05 -1.08 -1.08 1.51 .65 -.43 0 -.22 -1.51 .86 1.30 z for IQ z for Jersey Shore Step 2: Calculate each person’s   Z-scores for variables  IQ and hours                  _ X  –  X    SD = IQ  Mean=111, s=10.48 Hours  Mean=7, s=4.63

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Calculating Correlations Name IQ Hours watching Jersey Shore z for IQ Z for JS Kristin 120 2 .86 -1.08 Darrell 124 2 1.24 -1.08 Privia 90 14 -2.00 1.51 Eileen 110 10 -.10 .65 Connor 111 5 0 -.43 Jamal 110 7 -.10 0 Crystal 114 6 .29 -.22 Natalie 127 0 1.53 -1.51 Deepa 105 11 -.57 .86 Melinda 100 13 -1.05 1.30 z(IQ)*z(JS) -.93 -1.34 -3.02 -.07 0 0 -.06 -2.31 -.49 -1.37 Step 3:  Multiply each person’s Z-scores together Step 4:  Add the Z-score products together (the z(IQ) * z(JS) column).
Finally… Step 4:  Add the Z-score products together (the  z(IQ) * z(JS) column). Step 5:  divide by the number of subjects. -9.59/10= -.96        r =-.96

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Interpreting Correlations 0 < |r| < .3 Weak Correlation .3 <|r| <.7 Moderate Correlation |r| >0.7 Strong Correlation  |r| = absolute value of r General rule of thumb:
Practice Calculating Correlations Is there a correlation  between how long a  couple was married  and their relationship  satisfaction?

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• Fall '11
• MikeRotch
• Null hypothesis, Statistical hypothesis testing, Statistical significance, Kristin Darrell Privia Eileen Connor Jamal Crystal Natalie Deepa Melinda, -2.00 -.10 0 -.10 .29 1.53 -.57

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Chp 15 Inferential Statistics Part 1 (student)-1 -...

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