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Chapter 12 . Correlational Designs. Key Ideas. Purpose and use of correlational designs Types of correlational designs Key characteristics of correlational designs Procedures used in correlational studies Evaluating a correlational study. What is correlational research?.
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Chapter 12 Correlational Designs Power Point Slides by Ronald J. Shope in collaboration with John W. Creswell
Key Ideas • Purpose and use of correlational designs • Types of correlational designs • Key characteristics of correlational designs • Procedures used in correlational studies • Evaluating a correlational study Educational Research 2e: Creswell
What is correlational research? • In correlational research designs, investigators use the correlation statistical test to describe and measure the degree of association (or relationship) between two or more variables or sets of scores. Educational Research 2e: Creswell
When do you use correlational designs? • To examine the relationship between two or more variables • To predict an outcome • Co-vary • Use one variable to predict the score on one variable using knowledge about the other variable • Statistic that expresses linear relationships is the Product-Moment Correlation Coeffieicnt Educational Research 2e: Creswell
Types of correlational designs: Explanatory design • Correlate two or more variables • Collect data at one point in time • Analyze all participants as a single group • Obtain at least two scores for each individual in the group - one for each variable • Report the correlation statistic • Interpretation based on statistical test results Educational Research 2e: Creswell
Types of correlational designs: Prediction designs • Predictor Variable: a variable that is used to make a forecast about an outcome in the correlational study. • Criterion Variable: the outcome being predicted • “Prediction” usually is a word in the title • Predictor variables usually measured at one point in time and the criterion variable at a later point in time. • Purpose is to forecast future performance Educational Research 2e: Creswell
Displays of scores in a correlation matrix 1 2 3 4 5 6 - • 1.School satisfaction • 2. Extra-curricular activities • 3. Friendship • 4. Self-esteem • 5. Pride in school • 6. Self-awareness - -.33** - .24 -.03 - -.15 .65** .24* - -.09 -.02 .49** .16 - .29** -.02 .39** .03 .22 Educational Research 2e: Creswell
Associations between two scores • Direction (positive or negative) • Degree and strength (size of coefficient) Educational Research 2e: Creswell
Association Between Two Scores Degree and strength of association • .20–.35: When correlations range from .20 to .35, there is only a slight relationship • .35–.65: When correlations are above .35, they are useful for limited prediction. • .66–.85: When correlations fall into this range, good prediction can result from one variable to the other. Coefficients in this range would be considered very good. • .86 and above: Correlations in this range are typically achieved for studies of construct validity or test-retest reliability. Educational Research 2e: Creswell
Steps in conducting a correlational study • Determine if a correlational study best addresses the research problem • Identify the individuals in the study • Identify two or more measures for each individual in the study • Collect data and monitor potential threats • Analyze the data and represent the results • Interpret the results • Is the size of the sample adequate for hypothesis testing? Educational Research 2e: Creswell
Evaluating a correlation study • Does the researcher adequately display the results in matrixes or graphs? • Is there an interpretation about the direction and magnitude of the association between the two variables? • Is there an assessment of the magnitude of the relationship based on the coefficient of determination, p-values, effect size, or the size of the coefficient? • Is the researcher concerned about the form of the relationship so that an appropriate statistic is chosen for analysis? Educational Research 2e: Creswell
Evaluating a correlation study • Has the researcher identified the predictor and criterion variables? • If a visual model of the relationships is advanced, does the researcher indicate the expected relationships among the variables, or, the predicted direction based on observed data? • Are the statistical procedures clearly defined? Educational Research 2e: Creswell