Problem with unstandardized LV scores calculation
Posted: Wed Aug 20, 2008 2:19 am
I was trying to compute by hand the unstandardized LV scores using Anne Martensen & Lars Grønholdt procedure to compute the unstandardized weights and I had found these results:
1) The scores computed by hand was different from the scores from SmartPLS
2) The correlation between standardized and unstandardized scores was perfect (hand) and was little different when I was using the unstandardized scores from SmartPLS (The error has had little effect for practical matters, but it is a bug).
Professor Christian already found the problem: “SmartPLS uses normed unstandardized outer loadings instead of the outer weights.”
And fixed it for the next release.
==========================
To compute the correct unstandardized follow the example from ECSI model (mobi205.csv)
1) Run the example
2) Copy the standardized outer weights
3) Compute the standardized deviation to each indicator and copy/past to the side of the weight
4) Compute (outer weights / standard deviation for each indicator)
5) Compute the unstandardized weights as “relative weights” to have the unstandardized LV scores in the same scale of the indicators. See the table below:
Indicator Standardized outer weights Standard deviation SOW / s.d. Unstandardized weight
CUEX1 0.5481 1,6218 0,3380 0,4243
CUEX2 0,4950 1,7927 0,2761 0,3467
CUEX3 0.3836 2,1028 0,1824 0,2290
Total = 1,0000
6) Use the unstandardized weights to compute the LV scores.
Best regards.
Bido
1) The scores computed by hand was different from the scores from SmartPLS
2) The correlation between standardized and unstandardized scores was perfect (hand) and was little different when I was using the unstandardized scores from SmartPLS (The error has had little effect for practical matters, but it is a bug).
Professor Christian already found the problem: “SmartPLS uses normed unstandardized outer loadings instead of the outer weights.”
And fixed it for the next release.
==========================
To compute the correct unstandardized follow the example from ECSI model (mobi205.csv)
1) Run the example
2) Copy the standardized outer weights
3) Compute the standardized deviation to each indicator and copy/past to the side of the weight
4) Compute (outer weights / standard deviation for each indicator)
5) Compute the unstandardized weights as “relative weights” to have the unstandardized LV scores in the same scale of the indicators. See the table below:
Indicator Standardized outer weights Standard deviation SOW / s.d. Unstandardized weight
CUEX1 0.5481 1,6218 0,3380 0,4243
CUEX2 0,4950 1,7927 0,2761 0,3467
CUEX3 0.3836 2,1028 0,1824 0,2290
Total = 1,0000
6) Use the unstandardized weights to compute the LV scores.
Best regards.
Bido