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The General LISREL MODEL Ulf H. Olsson Professor of Statistics.

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Presentation on theme: "The General LISREL MODEL Ulf H. Olsson Professor of Statistics."— Presentation transcript:

1 The General LISREL MODEL Ulf H. Olsson Professor of Statistics

2 Ulf H. Olsson Making Numbers Loyalty Branch Loan Savings Satisfaction

3 Ulf H. Olsson Making Numbers-Econometric Model

4 Ulf H. Olsson Making Numbers-Psychometric Model

5 Ulf H. Olsson Making Numbers-Psychometric Model

6 Ulf H. Olsson Parameter Function

7 Ulf H. Olsson Making Numbers S: sample covariance θ: parameter vector σ(θ): model implied covariance

8 Ulf H. Olsson Making Numbers

9 Ulf H. Olsson Making Numbers

10 Ulf H. Olsson Making Numbers

11 Ulf H. Olsson Making Numbers

12 Ulf H. Olsson Making Numbers Generally

13 Ulf H. Olsson Making Significance

14 Ulf H. Olsson Making Numbers Loyalty Branch Loan Savings Satisfaction 0.33 0.46 0.29 0.17 0.35 0.80 0.83 0.86 0.83 0.84 0.40 0.39 0.33 0.44 0.37 0.26 0.23 0.21 0.28 0.23 Chi-sq. 1769.36 925.78 1731.09 839.83 518.94 582.91 df=182

15 Ulf H. Olsson Multivariate Normal Distribution

16 Ulf H. Olsson The Maximum Likelihood Estimator

17 Ulf H. Olsson Making Significance 0; correctly specified K ; misspecified

18 Ulf H. Olsson Making Significance (Sense)

19 Ulf H. Olsson Making Sense If the model is correctly specified, different estimators should have similar values asymptotically (White, 1994) If the different estimators do not have similar values asymptotically, the model is misspecified 1) Use at least two estimators  1 and  2 ; if they differ the model is misspecified; 2) Across-method variability can be used to assess what parts of the model, if any,are close to the true model??

20 Ulf H. Olsson Making Sense A strong theory will give precise predictions!

21 Ulf H. Olsson Making sense is more important than making numbers, it is even more important than making significance ?

22 Ulf H. Olsson Assignment 1) Evaluate the nine-psychological test model 2) Estimate EX32A.Ls8 3) Estimate Ex32B.ls8 4) Estimate Ex56.Ls8


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