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

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Presentation transcript:

The General LISREL MODEL Ulf H. Olsson Professor of Statistics

Ulf H. Olsson Making Numbers Loyalty Branch Loan Savings Satisfaction

Ulf H. Olsson Making Numbers-Econometric Model

Ulf H. Olsson Making Numbers-Psychometric Model

Ulf H. Olsson Making Numbers-Psychometric Model

Ulf H. Olsson Parameter Function

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

Ulf H. Olsson Making Numbers

Ulf H. Olsson Making Numbers

Ulf H. Olsson Making Numbers

Ulf H. Olsson Making Numbers

Ulf H. Olsson Making Numbers Generally

Ulf H. Olsson Making Significance

Ulf H. Olsson Making Numbers Loyalty Branch Loan Savings Satisfaction Chi-sq df=182

Ulf H. Olsson Multivariate Normal Distribution

Ulf H. Olsson The Maximum Likelihood Estimator

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

Ulf H. Olsson Making Significance (Sense)

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??

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

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

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