QUESTION: About The 10 Times Rule (PLS-MGA)
Posted: Fri May 15, 2015 7:36 am
"When engaging in PLS-MGA, researchers need to ensure that the number of observations in each group meets the rules of thumb for minimum sample size requirements (Chapter 1). As the maximum number of arrows pointing at a latent variable is three, we would need 3 ยท 10 = 30 observations per group, according to the 10 times rule. Following the more rigorous recommendations from a power analysis (Chapter 1), 59 observations per group are needed to detect R2 values of around 0.25 at a significance level of 5% and a power level of 80%. Therefore, the group-specific sample sizes can be considered sufficiently large.โ - page 250, Hair Jr. et al. (2013)
Hair Jr., J. F., G. T. M. Hult, C. Ringle, and M. Sarstedt. 2013. A Primer on Partial Least Squares Structural Equation Modeling (PLS-SEM): Sage Publications.
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SITUATION:
In my research, the maximum number of arrows pointing at a latent variable is 4. Thus, according to the 10 times rule, I would need to have a minimum of 40 cases per group. I have a total of 509 cases. However, when I was about to conduct a PLS-MGA for the observable Age grouping, I discovered that I have the following:
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Age_18 or younger(1) = 40 records
Age_19-25 years old(2) = 163 records
Age_26-35 years old(3) = 173 records
Age_36 or above(4) = 133 records
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Age_18 or younger - seems to fall just right in the ballpark. However, "a more rigorous recommendations from a power analysis (Chapter 1), suggests that 59 observations per group are needed to detect a meaningful R2.."
QUESTION(S):
1.) Should I still consider running PLS-MGA for the AGE group? If so, would it mean that the results (e.g. R2 values) will be less than the power level of 80%?
2.) Does disregarding "Age_18 or younger" group make any difference or would it make the results more meaningful?
Similarly, I generated a sub-group for INCOME and found one group that falls below the 59 observation recommendation.
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Less than $10,000(1) = 122 records
$10,001 โ $30,000(2) = 158 records
$30,001 โ $50,000(3) = 112 records
$50,001 or more(4) = 76 records
Prefer Not to Answer(5) = 41 records
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QUESTION: Will unchecking "Prefer Not to Answer(5) = 41 records" in the PLS-MGA option help obtain a power level higher than 80%?
Please advice. Any help would be appreciated. Thank you in advance!
Regards,
Mark
Hair Jr., J. F., G. T. M. Hult, C. Ringle, and M. Sarstedt. 2013. A Primer on Partial Least Squares Structural Equation Modeling (PLS-SEM): Sage Publications.
--------------------------------------------------------------------------------------
SITUATION:
In my research, the maximum number of arrows pointing at a latent variable is 4. Thus, according to the 10 times rule, I would need to have a minimum of 40 cases per group. I have a total of 509 cases. However, when I was about to conduct a PLS-MGA for the observable Age grouping, I discovered that I have the following:
------------------------------
Age_18 or younger(1) = 40 records
Age_19-25 years old(2) = 163 records
Age_26-35 years old(3) = 173 records
Age_36 or above(4) = 133 records
------------------------------
Age_18 or younger - seems to fall just right in the ballpark. However, "a more rigorous recommendations from a power analysis (Chapter 1), suggests that 59 observations per group are needed to detect a meaningful R2.."
QUESTION(S):
1.) Should I still consider running PLS-MGA for the AGE group? If so, would it mean that the results (e.g. R2 values) will be less than the power level of 80%?
2.) Does disregarding "Age_18 or younger" group make any difference or would it make the results more meaningful?
Similarly, I generated a sub-group for INCOME and found one group that falls below the 59 observation recommendation.
------------------------------
Less than $10,000(1) = 122 records
$10,001 โ $30,000(2) = 158 records
$30,001 โ $50,000(3) = 112 records
$50,001 or more(4) = 76 records
Prefer Not to Answer(5) = 41 records
------------------------------
QUESTION: Will unchecking "Prefer Not to Answer(5) = 41 records" in the PLS-MGA option help obtain a power level higher than 80%?
Please advice. Any help would be appreciated. Thank you in advance!
Regards,
Mark