Two-stage approach (Potvin et al.): model for Stage 2 [Two-Stage / GS Designs]

posted by vezz – Erba (CO), Italy, 2010-06-19 20:35 (5482 d 00:37 ago) – Posting: # 5543
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Dear All,

I'm looking at a set of slides recently presented by Dr. Schütz (thank you for your great work!) in Ljubljana. I have a doubt regarding the model to be used for the analysis at the end of Stage 2 when the two-stage approach proposed by Potvin et al. is adopted. In the slides, the following model is reported at page 60:

- Fixed: treatment + period + sequence + stage*treatment
- Random: subject(sequence*stage)

Here I will not consider the issue fixed vs. random for the subject effect, but I would like to focus on the following problem: which effects should be included in the model?

In the paper by Potvin et al., the estimates of sigma2 to be used for calculating the confidence interval at the end of Stage 1 and Stage 2 are indicated at page 253 as s21 and s22, respectively. On the same page it is stated that "the error term derived from the GLM ANOVA model including sequence, stage, period(stage), treatment, subject(sequence*stage) will give the appropriate s2 term". To me it seems that this is the model that should be used at the end of Stage 2. From the different model reported in the slides by Dr. Schütz, a quantity indicated as SSmean in the paper can be obtained as the sum of squares (SS) of the stage*treatment effect (page 253). But this is only a component of s22, as described in the formulas at the end of page 252.

I would like to know your opinion on this point. Thank you very much for your help.

Kind regards,

Stefano

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