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Aim: How do we calculate and interpret correlation coefficients with SPSS?. SPSS Assignment Due Friday 2/12/10. Correlation Coefficient . Correlation Coefficient is a statistic that indicates the strength and direction of the relationship between two variables for one group of participants
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Aim: How do we calculate and interpret correlation coefficients with SPSS? SPSS Assignment Due Friday 2/12/10
Correlation Coefficient • Correlation Coefficient is a statistic that indicates the strength and direction of the relationship between two variables for one group of participants • It provides a single numerical value to represent the relationship • Correlation coefficient can range from -1.00 (perfect, inverse relationship) to 1.00 (perfect, direct relationship), with the value 0.00 indicating no relationship
Correlation Coefficient: Pearson r • Pearson r should be used when the following conditions are met: • Interested in a relationship between two scale variables • The distribution of scores is approximately symmetrical • The relationship is not curvilinear
Describing the Strength of Relationships Based on Correlation Coefficient • Rough rules of thumbs… • A value of 0.00 indicates “no relationship” • Values between .01 and .24 may be called “weak” • Values between .25 and .49 may be called “moderate” • Values between .50 and .74 may be called “moderately strong” • Values between .75 and .99 may be called “very strong” • Value of 1.00 is called “perfect” • What is true for positives is true in the negative too
Reporting Correlation Coefficients in a Research Report • Statement hat presents a Pearson r: • “The relationship between Math Scores and English Scores is a direct and weak (Pearson r = .83)” *NOTE: the letter r in Pearson r must be italicized *NOTE: must use two decimals always OR • “The value of the Pearson r is 1.00, which indicates a perfect, direct relationship.” *NOTE: the letter r in Pearson r must be italicized *NOTE: the description of the relationship is italicized *NOTE: must use two decimals always