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LISREL IS GREEK TO ME Factor analysis The SEM model Ulf H. Olsson Professor of Statistics.

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Presentation on theme: "LISREL IS GREEK TO ME Factor analysis The SEM model Ulf H. Olsson Professor of Statistics."— Presentation transcript:

1 LISREL IS GREEK TO ME Factor analysis The SEM model Ulf H. Olsson Professor of Statistics

2 Ulf H. Olsson THE LISREL MODEL

3 Ulf H. Olsson THE LISREL MODEL Loyalty Branch Loan Savings Satisfaction

4 Ulf H. Olsson THE LISREL MODEL

5 Ulf H. Olsson THE LISREL MODEL (Factor Model)

6 Ulf H. Olsson THE LISREL MODEL (Factor Model)

7 Ulf H. Olsson THE LISREL MODEL

8 Ulf H. Olsson THE LISREL MODEL

9 Ulf H. Olsson THE LISREL MODEL

10 Ulf H. Olsson Greek Letters C A P / l o w e r N a m e & D e s c r i p t i o n A L P H A ( A L - f u h ) F i r s t l e t t e r o f t h e G r e e k a l p h a b e t. B E T A ( B A Y - t u h ) G A M M A ( G A M - u h ) D E L T A ( D E L - t u h ) E P S I L O N ( E P - s i l - o n ) T h e s e c o n d f o r m o f t h e l o w e r c a s e e p s i l o n i s u s e d a s t h e “ s e t m e m b e r s h i p ” s y m b o l. CAP / low er Name & Description ALPHA (AL-fuh) First letter of the Greek alphabet. BETA (BAY-tuh) GAMMA (GAM-uh) DELTA (DEL-tuh) EPSILON (EP-sil-on) The second form of the lower case epsilon is used as the “set membership” symbol.

11 Ulf H. Olsson Greek Letters ZETA (ZAY-tuh) ETA (AY-tuh) THETA (THAY-tuh) IOTA (eye-OH-tuh) KAPPA (KAP-uh)

12 Ulf H. Olsson Greek Letters LAMBDA (LAM-duh) MU (MYOO) NU (NOO) XI (KS-EYE) OMICRON (OM-i-KRON) Rarely used because it looks like an ‘o.’

13 Ulf H. Olsson Greek Letters PI (PIE) RHO (ROW) SIGMA (SIG-muh) TAU (TAU)

14 Ulf H. Olsson Greek Letters UPSILON (OOP-si-LON) PHI (FEE) The two versions of lower-case Phi are used interchangeably. CHI (K-EYE) PSI (SIGH) OMEGA (oh-MAY-guh) Last letter of the Greek alphabet.

15 Ulf H. Olsson Parameter Function

16 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

17 Ulf H. Olsson Multivariate Normal Distribution

18 Ulf H. Olsson The Maximum Likelihood Estimator


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