week 8 etec 668 quantitative research in educational technology dr. seungoh paek march 5, 2014
TRANSCRIPT
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Week 8 ETEC 668 Quantitative Research in Educational Technology
Dr. Seungoh PaekMarch 5, 2014
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Using Inferential Statistics
Linear Regression
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How Inference Works
A representative sample of the population is chosen.
A test is given, means are computed and compared
A conclusion is reached as to whether the scores are statistically significant
Based on the results of the sample, an inference is made about the population.
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What is Prediction All About?
Correlations can be used as a basis for the prediction of the value of one variable from the value of another– Correlation can be determined by using a set of
previously collected data (such as data on variables X and Y)
– calculate how correlated these variables are with one another
– use that correlation and the knowledge of X to predict Y with a new set of data
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The Logic of Prediction
Prediction is an activity that computes future outcomes from present ones– What if you wanted to predict college GPA based
on high school GPA?
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Scatter Plot
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Regression Line
Regression line – reflects our best guess as to what score on the Y variable would be predicted by the X variable.– Also known as the “line of best fit.”
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Prediction of Y given X = 3.0
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Error in Prediction
Prediction is rarely perfect…
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Drawing the World’s Best Line
Linear Regression Formula– Y=bX + a
Y = dependent variable– the predicted score or criterion
X = independent variable– the score being used as the predictor
b = the slope – direction of the line
a = the intercept– point at which the line crosses the y-axis
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Let’s try predicting…
Let’s use PSPP to compute the regression line in predicting Y from X
We’ll use the number of hours of training to predict how severe injuries will be if someone is injured playing football
Variable Definition
Training (X) # of hours per week of strength training
Injuries (Y) Severity of injuries on a scale of 1 to 10
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Using the Computer
SPSS and Linear Regression
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SPSS Output
What does it all mean?
Y = -.13 X + 6.85
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Scatterplot
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Data Analysis Procedures
February 27, 2013
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Where are we now?
Identified a problem focus Outlined literature review Stated research questions
– Research questions provide the basis for planning research study – design, materials, data analysis
Determined research design– Experimental, survey, correlational, descriptive
Determined methods– Subjects, materials, instruments, procedures
Next, identify data analysis procedures
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Data Analysis Procedures
Excited? Apprehensive? No worries! If you’ve done a good job of the preceding 5 steps,
this should be straightforward & easy Clear research questions & design leads to stats
analysis required Work with a stats expert – identify one for your
dissertation committee Your task –have practitioner’s understanding of
appropriate analyses, how to perform PSPP analyses & how to interpret results
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Can meaningful learning be enhanced by using a computer to personalize math
word problems for each student?
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Common Statistical Analysis Used in Ed Tech Research
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