How do you multiply two geometric means? How do you obtain the geometric standard deviation of the result?
I have GM1 and GSD1 for a set air dust level measurements. I also have GM2 and GSD2 for a set of dimensionless "enhancement factors" to be applied against the first set. (The enhancement factor is the ratio found between contaminant concentrations in the soil to the contaminant concentrations found in air-borne resuspended dusts. I do not have the data sets, only the GMs and GSDs for them.) What is the resultant GM when you multiply the dust levels by the enhancement factors? What would be the GSD?
Any explanation is appreciated; I suspect the answer is basic but have searched many sites and a few books but found nothing that says exactly what. Clearly, I'm not a mathematician.
I have GM1 and GSD1 for a set air dust level measurements. I also have GM2 and GSD2 for a set of dimensionless "enhancement factors" to be applied against the first set. (The enhancement factor is the ratio found between contaminant concentrations in the soil to the contaminant concentrations found in air-borne resuspended dusts. I do not have the data sets, only the GMs and GSDs for them.) What is the resultant GM when you multiply the dust levels by the enhancement factors? What would be the GSD?
Any explanation is appreciated; I suspect the answer is basic but have searched many sites and a few books but found nothing that says exactly what. Clearly, I'm not a mathematician.