My question is about confirmatory factor analysis.
Calculating path coefficients by correlation matrix is hard when we have many variables.
How does Lisrel calculate them? Is there any algorithm or approximate method?
The first I know of to show how this is done in Lisrel (or any other software) by hand I think was John Loehlin, although others have tried it algeblraeically too; I'll send a few pages from his book.
It's pretty much by starting with some 'wild' guesses, for each path coefficient, then moving them up and down, one at a time, and see whether the implied correlations drift away from the sample correlations or not. This is tricky, of course, because the one-at-a-time approach assumes that path coefficient values are independent, whereas they are not really. But it's a good exercise.
For going from a set of path coefficients to the model implied correlational matrix, one simply uses the 'tracing rule' of Sewall Wright, take a look at Dave Kenny's example: http://davidakenny.net/cm/tracing.htm
I send program which I made it .
It is easy to use. Add in the program all traits and you can select the character which will be used as Y factor and other factors which were used for calculating path coefficient then save the results.
with compliment
Prof. Dr. Ahmed M M Ebieda
Dear Prof. Dr. Ebieda,
Thank you for sending the program. I would like to learn the method behind the softwares. When we have 3 variables it is easy to solve. But when we have more than 3 variables I don't know how it works. Could you please help me to learn the method? I want to know how I can solve the problem by hand.
Thank you in advance.
there are 2 methods to solve it. Doolittle method and another method in book of
Steel, R.G.D. and J.H. Torrie (1981). Principles and procedures of statistics, a biometrical approach. 2nd ed. by Mc Graw-Hill International Book Company, Singapore, 633 p.
Also, in the book of Singh as I remember explained it in detail
I didn't find this book in my library.
when I find it I will send the detail
thanks
For using path coefficient program, I attached file for explaining it. The book of Singh is:
Singh, R.K. and Chaudhary, B.D. (1979) Biometrical Methods in Quantitative Genetic Analysis. . Kalyani Publishers . New Delhi . 288 pp.
published in 1977, 1979 and 1985
thanks
Please refer to:
1. Landau, S. and Everitt, B. S.(2004). A Handbook of Statistical analyses using SPSS.
2.Howitt, D. and Cramer, D.(2008). Introduction to SPSS.
Regards,
Zuhair
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