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RegisterSatterthwaite degrees of freedom [Regulatives / Guidelines]
posted by Helmut 
– Vienna, Austria, 2008-03-06 14:57 (6683 d 10:25 ago) – Posting: # 1663
Views: 17,741
Dear SKR!
Theoretically yes, practically no.
The solution of a linear mixed effect model (this is not an ANOVA!) is based on a numeric iterative procedure – so if you have truly a lot of spare time, you should be able to do it…
DDFM: D (?) Degrees of Freedom
SATTERTH: Welch-Satterthwaite approximation for unequal variances / sample sizes (i.e., unbalanced data)$$\nu \approx \frac{\left (\frac{s_{1}^{2}}{n_1}+\frac{s_{2}^{2}}{n_2}\right )^2}{\frac{s_{1}^{4}}{n_1(n_1-1)}+\frac{s_{2}^{4}}{n_2(n_2-1)}}$$
❝ My question is can we manually calculate MIXED ANOVA results?
Theoretically yes, practically no.
The solution of a linear mixed effect model (this is not an ANOVA!) is based on a numeric iterative procedure – so if you have truly a lot of spare time, you should be able to do it…
❝ One more thing is, what DDFM=SATTERTH; indicates?
DDFM: D (?) Degrees of Freedom
SATTERTH: Welch-Satterthwaite approximation for unequal variances / sample sizes (i.e., unbalanced data)$$\nu \approx \frac{\left (\frac{s_{1}^{2}}{n_1}+\frac{s_{2}^{2}}{n_2}\right )^2}{\frac{s_{1}^{4}}{n_1(n_1-1)}+\frac{s_{2}^{4}}{n_2(n_2-1)}}$$
—
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Helmut Schütz
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The quality of responses received is directly proportional to the quality of the question asked. 🚮
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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. 🚮
Science Quotes
Complete thread:
- random effect, fix effect in the guidance Appendix E LS 2008-02-05 18:53 [Regulatives / Guidelines]
![[Mix]](https://static.bebac.at/img/mix.png "open in Mix view")
- random effect, fix effect in the guidance Appendix E d_labes 2008-02-06 13:34
- random effect, fix effect in the guidance Appendix E LS 2008-02-06 17:58
- random effect, fix effect in the guidance Appendix E d_labes 2008-02-07 10:14
- random effect, fix effect in the guidance Appendix E SKR 2008-03-06 10:54
- Satterthwaite degrees of freedomHelmut 2008-03-06 13:57
- Satterthwaite degrees of freedom d_labes 2008-03-10 09:59
- Satterthwaite DF; SAS Helmut 2008-03-10 12:24
- Satterthwaite DF; SAS d_labes 2008-03-10 14:50
- Satterthwaite DF; SAS mathews 2008-03-11 07:12
- SAS Proc Mixed coding, replicate design d_labes 2008-03-11 09:43
- SAS Proc Mixed coding, replicate design Sathya 2008-09-17 07:21
- Replicate design evaluation d_labes 2008-09-17 10:49
- Replicate design evaluation Sathya 2008-09-18 06:43
- Replicate design evaluation d_labes 2008-09-17 10:49
- SAS Proc Mixed coding, replicate design Sathya 2008-09-17 07:21
- SAS Proc Mixed coding, replicate design d_labes 2008-03-11 09:43
- Satterthwaite DF; SAS mathews 2008-03-11 07:12
- Satterthwaite DF; SAS d_labes 2008-03-10 14:50
- Satterthwaite DF; SAS Helmut 2008-03-10 12:24
- Satterthwaite degrees of freedom d_labes 2008-03-10 09:59
- Satterthwaite degrees of freedomHelmut 2008-03-06 13:57
- random effect, fix effect in the guidance Appendix E SKR 2008-03-06 10:54
- random effect, fix effect in the guidance Appendix E d_labes 2008-02-07 10:14
- random effect, fix effect in the guidance Appendix E LS 2008-02-06 17:58
- random effect, fix effect in the guidance Appendix E d_labes 2008-02-06 13:34
Ing. Helmut Schütz