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RegisterMSE of partial replicate design [General Statistics]
Dear All!
For some reasons I'm interested in the mse composed from the intra-subject variances of Test and Reference of the classical ANOVA used for crossover designs (same as for the 2x2x2 crossover).
For the full replicate (2x2x4) design Chow and Liu mention (without an elaborate explanation)
For the partial replicate design (2x3x3) I have arrived with
mostly empirical based on simulations (classical subject data sims without a subject-by-formulation interaction in the statistical model).
Via these sims it could be verified that the formula for the full replicate design seems correct.
My questions are:
Does any body know a way to derive the formulas theoretically?
Or has anybody done simulations of the 2x3x3 design to verify my finding?
Or is that all bullshit since we have to assume s2wT = s2wR if we use ANOVA (homogeneous variances)?
Chow, Liu
"Design and Analysis of Bioavailability and Bioequivalence Studies"
Third edition, Chapter 9.4
Chapman & Hall, Boca Raton 2009
For some reasons I'm interested in the mse composed from the intra-subject variances of Test and Reference of the classical ANOVA used for crossover designs (same as for the 2x2x2 crossover).
For the full replicate (2x2x4) design Chow and Liu mention (without an elaborate explanation)
mse = 1/2*(s2wT + s2wR)For the partial replicate design (2x3x3) I have arrived with
mse = 1/3*(s2wT + 2*s2wR)mostly empirical based on simulations (classical subject data sims without a subject-by-formulation interaction in the statistical model).
Via these sims it could be verified that the formula for the full replicate design seems correct.
My questions are:
Does any body know a way to derive the formulas theoretically?
Or has anybody done simulations of the 2x3x3 design to verify my finding?
Or is that all bullshit since we have to assume s2wT = s2wR if we use ANOVA (homogeneous variances)?
Chow, Liu
"Design and Analysis of Bioavailability and Bioequivalence Studies"
Third edition, Chapter 9.4
Chapman & Hall, Boca Raton 2009
—
Regards,
Detlew
Regards,
Detlew
Complete thread:
- MSE of partial replicate designd_labes 2013-04-10 09:30
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- MSE of partial replicate design ElMaestro 2013-04-10 09:51
- MSE of partial replicate design d_labes 2013-04-10 10:28
- MSE of partial replicate design ElMaestro 2013-04-10 10:38
- MSE of partial replicate design d_labes 2013-04-10 11:15
- MSE of partial replicate design ElMaestro 2013-04-11 00:07
- MSE of partial replicate design d_labes 2013-04-10 11:15
- MSE of partial replicate design ElMaestro 2013-04-10 10:38
- MSE of partial replicate design d_labes 2013-04-10 10:28
- MSE of partial replicate design ElMaestro 2013-04-10 09:51
Ing. Helmut Schütz