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Willard Ch 14
Statistics
Term | Definition |
---|---|
correlation coefficient | A number, ranging from -1.00 to +1.00, that measures the direction and strength of the relationship between two variables |
positive correlation | Relationship in which two variables proceed in the same direction: high X scores are associated with high Y scores, and vice-versa. |
negative correlation | Relationship in which two variables proceed in opposite directions: high X scores are associated with low Y scores, and vice-versa. |
perfect correlation | In a perfect correlation, many of the dots will be piled on top of each other and, when connected, will form a straight diagonal line. |
coefficient of determination | Proportion of variance that two variables share in common; proportion of the variance on one variable that is explained by the variance of the other. |
coefficient of non-determination | Proportion of variability that is not shared, common variance; proportion of the variance on one variable that is not explained by the variance of the other. |
linear relationship | described by a straight line in which there is a tendency for Y scores to move in only one direction in relation to the X scores. |
regression analysis | Statistical procedure used to predict the value of a score on one variable by knowing the value of the score on another variable. |
slope | tells us how much and in what direction the regression line slants. |
y-intercept | point where the regression line cuts across, or intercepts, the Y-axis. |
regression equation | An equation for the line of best fit, which is used to predict Y values from given X values. |
restricting the range | When a sample is used that limits the scores on one or both variables more so than would be found in the population. |
outliers | scores on either the X or Y variable that are extreme. Can have a dramatic effect on the magnitude of the correlation. |
Scatterplot | diagram of the relationship between two variables. Positive correlations ascend to the right. Negative correlations decend to the right. More scatter= weaker correlation. |
Pearson correlation | Used for examining linear relationships between variables measured on interval or ratio scales. |