[R-meta] Variability ratio in studies with different designs

Hello everyone,

I am carrying out a meta-analysis that involves studies of different
designs, as follows:

1) parallel controlled; where ES = pre to post change of control group -
pre to post change of experimental group.

2) crossover;
a) ES = pre to post change in condition 1 - pre to post change in condition
2;
b) ES = post condition 1 - post condition 2.

I am interested in investigating the variability of responses between
conditions using the lnVR (logarithm of the ratio between standard
deviations [SD]).

In this case, for the design:
1- lnVR = ln(SD change control / SD change experimental), where, SD change
is the SD of the pre to post changes;

2a- lnVR = ln(SD change condition 1 / SD change condition 2);

2b- Is appropriate in this condition to use: lnVR = ln(SD between subjects
in condition 1 / SD between subjects in condition 2)? Assuming that if the
SD between subjects in one condition was greater than in another,
individual responses were greater in one condition than in another, because
there are only parameters measured after each condition.

Thank you!

Att.

Fernando Klitzke Borszcz
Doutorando em Educa??o F?sica
Laborat?rio de Esfor?o F?sico - LAEF
Centro de Desportos - CDS
Universidade Federal de Santa Catarina- UFSC