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Specific level of complexity of HCMs / number of predictors

Posted: Fri Sep 21, 2018 8:35 am
by Boddien
Dear forum,

I have a question regarding the specific level of complexity that means the max. number of arrows pointed at a construct in a PLS path model where HCMs are used (see attachment).

If I look at HOC_E (because this is in my opinion the part of the model with the largest number of predictors) I would say that 10 arrows from the following predictors are pointing at it:
1.SOC_E
2. LOC1_E
3. LOC2_E
4. LOC3_E
5. LOC4_E
6. LOC5_E
7. LOC6_E
8. LOC7_E
9. LOC8_E
10. HOC_P

Or am I wrong because I have to consider all the predictors of the LOC_s (1-8) and the HOC_P, too?

Thank you very much in advance.

Best regards,
S. Boddien

Re: Specific level of complexity of HCMs / number of predictors

Posted: Thu Oct 04, 2018 8:16 am
by jmbecker
Well, yes based on the structural model that you show 10 is the largest number of predictors that point to a construct (HOC_e). However, if you model the HOC with the repeated indicator approach (which seems to be the case in your model) and you have a formative HOC and use Mode B to with the repeated indicators of this HOC you might have more arrows pointing to the HOC in the measurement model. For example, if you have 22 repeated indicators 22 would be the largest number of arrows pointing to a construct.
Nevertheless, this rule of thumb thing with counting the arrows is nowadays usually also discouraged and a power analysis is the better option to determine the sample size. But if gives you an impression of your minimum sample size. However, sample size requirements might be much larger.

Re: Specific level of complexity of HCMs / number of predictors

Posted: Fri Oct 12, 2018 10:07 am
by Boddien
Thank you very much for your reply.

I want to use in the first stage the repeated indicators approach to obtain the LOC´s scores which will serve in the second stage as manifest variables in the HOC´s measurement model (two-stage approach).

Do I need to consider now all the repeated indicators of the first stage (3 x 8 = 24 repeated indicators + 2 = 26) or only the LOCs indicators of the second stage (8 + 2 = 10)?

Thank you once again for clearifying!