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Registerstatistical analysis of William's Design [Study Assessment]
posted by Helmut 
– Vienna, Austria, 2022-02-11 20:07 (798 d 17:48 ago) – Posting: # 22774
Views: 2,348
Hi Ahmed,
Extremely unlikely. In the separate evaluations (as Incomplete Block Designs) you get two estimates of the within-subject variances (one in the comparison of T1 vs R and the other in the comparison of T2 vs R). Even if they would be identical, you have different degrees of freedom in the analyses. In each of the IBDs you have \(\small{df=n-2}\) and in the pooled ANOVA \(\small{df=2\times n-4}\), where \(\small{n}\) is the total number of subjects. Although the point estimates might be the same, the confidence intervals will not.
❝ […] William's design (3 treatment, 3 period, 6 sequence), 2 test products against one reference. I analyzed the data as 3-way, and also separated the test products, each with a reference, and analyzed them. My question: should I get the same result?
Extremely unlikely. In the separate evaluations (as Incomplete Block Designs) you get two estimates of the within-subject variances (one in the comparison of T1 vs R and the other in the comparison of T2 vs R). Even if they would be identical, you have different degrees of freedom in the analyses. In each of the IBDs you have \(\small{df=n-2}\) and in the pooled ANOVA \(\small{df=2\times n-4}\), where \(\small{n}\) is the total number of subjects. Although the point estimates might be the same, the confidence intervals will not.
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Dif-tor heh smusma 🖖🏼 Довге життя Україна!
Helmut Schütz
The quality of responses received is directly proportional to the quality of the question asked. 🚮
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Complete thread:
- statistical analysis of William's Design Ahikal 2022-02-11 18:34
![[Mix]](https://static.bebac.at/img/mix.png "open in Mix view")
- statistical analysis of William's DesignHelmut 2022-02-11 19:07
- statistical analysis of William's Design Ahikal 2022-02-11 19:43
- statistical analysis of William's Design Ahikal 2022-02-12 14:58
- statistical analysis of William's Design Helmut 2022-02-12 15:02
- statistical analysis of William's Design Ahikal 2022-02-12 15:41
- statistical analysis of William's Design Ahikal 2022-02-17 22:16
- Two at a Time (Incomplete Blocks) Helmut 2022-02-17 22:33
- Two at a Time (Incomplete Blocks) Ahikal 2022-02-17 23:45
- statistical analysis of William's Design dshah 2022-02-18 10:26
- statistical analysis of William's Design Ahikal 2022-02-25 13:42
- statistical analysis of William's Design Ahikal 2022-02-25 14:22
- Do your homework first Helmut 2022-02-25 14:37
- Do your homework first Ahikal 2022-02-26 09:54
- Do your homework first Helmut 2022-02-25 14:37
- Two at a Time (Incomplete Blocks) Helmut 2022-02-17 22:33
- statistical analysis of William's Design Helmut 2022-02-12 15:02
- statistical analysis of William's DesignHelmut 2022-02-11 19:07
Ing. Helmut Schütz