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Questions and Answers
What is the Pearson Product-Moment Correlation coefficient commonly called?
What is the Pearson Product-Moment Correlation coefficient commonly called?
What is the range of values for the coefficient of correlation?
What is the range of values for the coefficient of correlation?
What does a correlation coefficient of zero indicate?
What does a correlation coefficient of zero indicate?
What does the Partial Correlation measure?
What does the Partial Correlation measure?
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What is necessary to calculate the correlation coefficient?
What is necessary to calculate the correlation coefficient?
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Who first derived the Pearson Product-Moment Correlation Coefficient?
Who first derived the Pearson Product-Moment Correlation Coefficient?
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What is the definition of simple correlation?
What is the definition of simple correlation?
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What type of correlation involves a change in one variable that is not at a fixed rate?
What type of correlation involves a change in one variable that is not at a fixed rate?
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What is the characteristic of inverse correlation?
What is the characteristic of inverse correlation?
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Which type of correlation involves more than two variables?
Which type of correlation involves more than two variables?
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What defines multiple correlation?
What defines multiple correlation?
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For every increase in one variable, there is a corresponding decrease in the second variable is an example of ______ correlation.
For every increase in one variable, there is a corresponding decrease in the second variable is an example of ______ correlation.
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What characterizes joint correlation?
What characterizes joint correlation?
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Linear correlation means that a change in one variable is at a constant rate with respect to the change in the second variable. The correlation between the variables may either be showing direct or ______ relationship.
Linear correlation means that a change in one variable is at a constant rate with respect to the change in the second variable. The correlation between the variables may either be showing direct or ______ relationship.
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Curvilinear correlation means that a change in one variable is not at a fixed rate. It may be increasing or decreasing with respect to the change in the other variable, which means the relationship is not ______.
Curvilinear correlation means that a change in one variable is not at a fixed rate. It may be increasing or decreasing with respect to the change in the other variable, which means the relationship is not ______.
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Multiple correlations involve more than two variables. The relationship between a dependent variable and two or more independent variables is usually measured. ______ correlation involves more than two variables.
Multiple correlations involve more than two variables. The relationship between a dependent variable and two or more independent variables is usually measured. ______ correlation involves more than two variables.
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Joint correlation is the correlation between the dependent variable and two or more variables, and it is changed with the addition of another independent variable. This defines ______ correlation.
Joint correlation is the correlation between the dependent variable and two or more variables, and it is changed with the addition of another independent variable. This defines ______ correlation.
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The relationship in ______ correlation is similar to curvilinear correlation, however in this correlation more than two variables are involved.
The relationship in ______ correlation is similar to curvilinear correlation, however in this correlation more than two variables are involved.
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The values of the coefficient of correlation ranges between +1 to ______. Zero represents no relationship.
The values of the coefficient of correlation ranges between +1 to ______. Zero represents no relationship.
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The Pearson Product-Moment Correlation Coefficient is commonly called the Pearson ______
The Pearson Product-Moment Correlation Coefficient is commonly called the Pearson ______
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To obtain the quantitative value of the extent of the relationship between two sets of items, it is necessary to calculate the ______ coefficient.
To obtain the quantitative value of the extent of the relationship between two sets of items, it is necessary to calculate the ______ coefficient.
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The Partial Correlation is a relative measure of relationship between the dependent variable and a particular independent variable, without considering the effect of the other independent ______ under study.
The Partial Correlation is a relative measure of relationship between the dependent variable and a particular independent variable, without considering the effect of the other independent ______ under study.
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The Pearson Product-Moment Correlation Coefficient measures the linear relationship between two ______.
The Pearson Product-Moment Correlation Coefficient measures the linear relationship between two ______.
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The values of the coefficient of correlation ranges between +1 to -1. Zero represents no ______.
The values of the coefficient of correlation ranges between +1 to -1. Zero represents no ______.
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Study Notes
Correlation Coefficient Overview
- Pearson Product-Moment Correlation Coefficient is commonly referred to as Pearson correlation.
- Coefficient of correlation ranges from +1 to -1, indicating the strength and direction of a relationship.
- A correlation coefficient of zero signifies no relationship between the variables.
Partial and Simple Correlation
- Partial Correlation measures the relationship between a dependent variable and a specific independent variable, excluding other variables' effects.
- Simple correlation defines the relationship between two variables without accounting for additional variables.
Types of Correlation
- Non-fixed rate correlation is termed curvilinear correlation, where one variable changes inconsistently with respect to the other.
- Inverse correlation describes a relationship whereby an increase in one variable results in a decrease in another.
- Multiple correlation involves three or more variables, focusing on the relationship between a dependent variable and multiple independent variables.
- Joint correlation is the correlation involving the dependent variable and multiple independent variables, varying with the addition of another variable.
Characterization of Relationships
- Linear correlation indicates a constant rate of change between two variables, maintaining a direct or inverse relationship.
- Curvilinear correlation lacks a fixed rate, with potential increasing or decreasing trends in relation to the other variable.
- The phrase "For every increase in one variable, there is a corresponding decrease in the second variable" exemplifies inverse correlation.
- The relationship in joint correlation mirrors curvilinear correlation but involves multiple variables.
Calculation and Historical Context
- To calculate the correlation coefficient, quantitative values from two sets of items are required.
- The Pearson correlation coefficient was first derived by Karl Pearson.
- The dependent variable's relationship with two or more independent variables is usually analyzed through multiple correlation.
Summary of Key Values
- The coefficient of correlation values range from +1 (perfect positive correlation) to -1 (perfect negative correlation).
- A score of zero reflects the absence of any correlation between the variables.
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Description
Test your knowledge about the types of correlation in statistics such as simple correlation and linear correlation. Learn about the relationships between independent and dependent variables, as well as direct and inverse relationships.
