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In a study of the relationship between plasma amphetamine levels and amphetamine-induced psychosis, 10 psychosis amphetamine abusers underwent psychiatric evaluation and were assigned a psychosis intensity score. At the same time, plasma amphetamine levels in these patients were determined. The results are shown in Table 8-1
(2) From the menus, choose: Analyze Correlate Bivariate, open “Bivariate Correlations” dialog box; move y and x to the “Variable” box; choose “Pearson” for Correlation Coefficients (default), or choose “spearman” if the variable are not normal distributed; click on button.
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The direction of correlation? -- positive or negative The strength of correlation? high or not? -- Is the absolute value big enough? Complete correlation : +1 or -1, Understanding the r
From the menus, choose: Analyze Regression Linear, open “Linear Regression” dialog box; move y to “Dependent” box and move x to “Independent” box; click on button.
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3. For bivariate normal distributed variables, regression could be used to interpret correlation: The high determine coefficient indicates the X is closely correlated to Y. 2. The hypothesis testing for correlation coefficient and regression coefficient is equivalent. 1. The correlation coefficient has the same sign as regression coefficient. connection 1.investigate the quantitative dependency relationship between variables 2.prediction 3. variable selection investigate the quantitative association Application Independent variable be a normally distributed random variable. Bivariate normal distribution Pre-requisite Investigate the dependency relationship between the independent and dependent variables. Quantify the relationship between two or more variables. Implication Regression Correlation
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