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Path AnalysisSPSS/AMOS
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Theory of Planned Behavior
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Zero-Order Correlations
• PATH-INGRAM.sav data file from SPSS data page.
Attitude SubNorm PBC Intent Behavior
Attitude 1.000 .472 .665 .767 .525
SubNorm .472 1.000 .505 .411 .379
PBC .665 .505 1.000 .458 .496
Intent .767 .411 .458 1.000 .503
Behavior .525 .379 .496 .503 1.000
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Predicting Behavior
Beta t Sig.
(Constant) -1.089 .281
Intent .350 2.894 .005
PBC .336 2.781 .007
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Predicting Intention Beta t Sig.
(Constant) 2.137 .037
Attitude .807 6.966 .000
SubNorm .095 .946 .348
PBC -.126 -1.069 .290
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Path Diagram
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AMOS Graphics
• Click Analyze, IBM SPSS AMOS. In the AMOS window which will open click File, New:
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Draw That Path Diagram
• Click on the “Draw observed variables” icon which I have circled on the image two slides above.
• Move the cursor over into the drawing space on the right.
• Hold down the left mouse button while you move the cursor to draw a rectangle. Release the mouse button.
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Icons
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Duplicate Icons
• Draw one rectangle.• Now click the Duplicate Objects icon,
boxed in black on the slide above• Point at that rectangle, hold down the left
mouse button while you move to the desired location for the second rectangle, and release the mouse button.
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Altering/Moving Objects
• Change the Shape of Objects– Click the icon– Click the object and move the mouse.
• Move Objects– Click the icon Click the object and move the
mouse
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Set Object Properties
• Click on the “List variables in data set” icon.
• Drag and drop variable names to the boxes.
• To view/edit object properties, right-click the object and select Object Properties
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Draw Paths
• Click on the “Draw paths” icon.• Draw a path from Attitude to Intent (hold
down the left mouse button at the point you wish to start the path and then drag it to the ending point and release the mouse button).
• The borders of the objects being connected will change color when selected.
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Draw Covariances
• Click on the “Draw Covariances” icon.• Draw a covariance from SubNorm to
Attitude.• Use the “Change the shape of objects”
tool to increase or decrease the arc of these covariances.
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Adding An Unique Variable
• Click on the “Add a unique variable to an existing variable” icon.
• Move the cursor over the Intent variable and click the left mouse button to add the error variable.
• Right-click the error circle leading to Intent, select Object Properties, and name the variable “e1.”
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Analysis Properties
• Click the “Analysis properties” icon -- to display the Analysis Properties window. Select the Output tab and ask for the output shown below.
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Conduct the Analysis
• Finish drawing the path diagram (illustrated earlier) and then
• Click on the “Calculate estimates” icon.• In the “Save As” window browse to the
desired folder and give the file a name.• Click Save.
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One or More Variables Not Named
• You may get this error even when every variable in the model is named.
• In my experience, you might as well start over from scratch at this point.
• Suggested curses can be found at http://www.vnutz.com/curse_and_swear
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OK, Stop Cussing
• In BlackBoard, go to Documents, Structural Equation Modeling & Path Analysis, Path Analysis Files.
• Download the files.• Open Path-Ingram.sav in SPSS.• Analyze, AMOS• File, Open, Path-Ingram.amw• Calculate Estimates
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View the Output Path Diagram
• Click the icon outlined in red below.• The one to the left will display the input
path diagram.
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Standardize the Coefficients
• Click “Standardized estimates.”
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Export the Path Diagram
• Click the “Copy the path diagram to the clipboard icon. Open a Word document or photo editor and paste in the path diagram.
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View the Output Details
• Click the “View text” icon.
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Export the Details
• The Copy to Clipboard icon (green dot, above) can be used to copy the output to another document via the clipboard.
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2 Output
• Chi-square = .847• Degrees of freedom = 2• Probability level = .655• The null here is that our model fits the data
just as well as a saturated model (one with every variable connected to every other variable).
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R2
Variable EstimateIntent .600Behavior .343
• These are for Intention predicted from Attitude, Subjective Norms, and Perceived Behavioral Control, and
• Behavior predicted from Intention and Perceived Behavioral Control.
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Standardized Direct Effects
SubNorm PBC Attitude IntentIntent .095 -.126 .807 .000Behavior .000 .336 .000 .350
These are all shown in the path diagram.
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Standardized Indirect Effects
SubNorm PBC Attitude IntentIntent .000 .000 .000 .000Behavior .033 -.044 .282 .000
These are products of coefficients. For example, Attitude to Behavior is .81(.35) = .28.
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Goodness of Fit Indices
• GFI = .994. • This tells you what proportion of the
variance in the sample variance-covariance matrix is accounted for by the model.
• This should exceed .9 for a good model.• For the saturated model it will be a perfect
1.
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The Normed Fit Index (NFI)
• NFI = .994. .9 or higher is good.• Compares our model to the independence
model (a model with no paths or covariances)
• The Comparative Fit Index (CFI) is similar, and good with smaller samples.
• CFI = 1.000
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Root Mean Square Error of Approximation
• Estimates lack of fit compared to the saturated model.
• RMSEA of .05 or less indicates good fit, and .08 or less adequate fit.
• RMSEA here is .000.