Correlation, Regression, and Chi Square Oh My

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Correlation, Regression, and Chi Square (Oh My!)

• What Relationships are Really About!

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Bivariate Distributions
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Correlation

• Definition
• Uses
• Reliability
• Validity
• Relationship questions

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Scatterplots, Scattergrams, Scattergraphs (Oh
My!)
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5
1
2
3
5
No Relationship
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Positive/ Direct Relationship
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Negative/ Inverse Relationships
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Curvilinear Relationships
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Strength of Relationships
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Pearsons Product Moment Correlation Coefficient
(r)

• Assumptions
• Interval or Ratio Level Data
• Linearity
• Random Sampling
• Normally Distributed

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Pearsons Product Moment Correlation Coefficient
(r)

• Research Question
• Hypotheses
• Variables
• Entering data
• Conducting the test
• Reporting results
• Drawing conclusions

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Variance Accounted For

• r2

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Regression

• Definition
• Use
• Relationship to Correlation
• Line of Best Fit

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Regression Multiple Regression
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Expectation of Rejection
.47
-.05
-.10
.22
Social Support
Shyness
Loneliness
-.26
-.68
-.51
.29
-.11
Interpersonal Competence
p lt .05 Adapted from Jackson, T., Fritch, A.,
Nagasaka, T., Gunderson, J. (2002). Toward
explaining the association between shyness and
loneliness A path analysis with American college
students. Social Behavior and Personality, 30(3),
263-270.
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Chi Square

• Parametric vs. Non-parametric
• What does it do?
• Assumptions
• Distribution

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Chi Square Goodness of Fit

• Use
• Research Question
• Hypotheses
• Variables
• Conducting the Test
• Reporting Results
• Drawing Conclusions

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a 0 cells (.0) have expected frequencies less
than 5. The minimum expected cell frequency is
31.7.
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Chi Square Test of Independence

• Use
• Research Question
• Hypotheses
• Variables
• Conducting the Test
• Reporting Results
• Drawing Conclusions

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a Computed only for a 2x2 table b 0 cells (.0)
have expected count less than 5. The minimum
expected count is 9.32.
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Variance Accounted For
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The End