[R-sig-ME] correlated samples

[Thierry Onkelinx]

Dear Joaquin,

You can derive eqn. 5.13 from the assumptions in eqn. 5.8, which assumes
that Yi follows a normal distribution.

Note that the example is use in a chapter which introduces **linear** mixed
models. Hence a normal distribution is assumed for the sake of simplicity.

Best regards,

Thierry

ir. Thierry Onkelinx
Instituut voor natuur- en bosonderzoek / Research Institute for Nature and
Forest
team Biometrie & Kwaliteitszorg / team Biometrics & Quality Assurance
Kliniekstraat 25
1070 Anderlecht
Belgium

To call in the statistician after the experiment is done may be no more
than asking him to perform a post-mortem examination: he may be able to say
what the experiment died of. ~ Sir Ronald Aylmer Fisher
The plural of anecdote is not data. ~ Roger Brinner
The combination of some data and an aching desire for an answer does not
ensure that a reasonable answer can be extracted from a given body of data.
~ John Tukey

2016-07-12 19:42 GMT+02:00 Joaquín Aldabe <joaquin.aldabe op gmail.com>:

> By the way..I don´t see why it is relatively easy to show that Yi is
> normally distributed..(in fact, the Y variable is count so it should be
> poisson). This is in section 5.4 (p. 112) of Zuur et al (2009).
> Thanks,
> joaquín.
>
> 2016-07-12 10:52 GMT-03:00 Thierry Onkelinx <thierry.onkelinx op inbo.be>:
>
>> Dear Joaquin,
>>
>> Yes. I think you have found a typo. The prior to equation 5.13 should
>> read "It is relatively easy to show that $Y_i$ is normally distributed
>> ..."
>>
>> Best regards,
>>
>> ir. Thierry Onkelinx
>> Instituut voor natuur- en bosonderzoek / Research Institute for Nature
>> and Forest
>> team Biometrie & Kwaliteitszorg / team Biometrics & Quality Assurance
>> Kliniekstraat 25
>> 1070 Anderlecht
>> Belgium
>>
>> To call in the statistician after the experiment is done may be no more
>> than asking him to perform a post-mortem examination: he may be able to say
>> what the experiment died of. ~ Sir Ronald Aylmer Fisher
>> The plural of anecdote is not data. ~ Roger Brinner
>> The combination of some data and an aching desire for an answer does not
>> ensure that a reasonable answer can be extracted from a given body of data.
>> ~ John Tukey
>>
>> 2016-07-11 21:36 GMT+02:00 Joaquín Aldabe <joaquin.aldabe op gmail.com>:
>>
>>> Sorrry, I hadn´t copied the whole group. Here it goes: Thanks Thierry,
>>>> I´ve been there a couple of times. I´ll try again. I think there is a
>>>> mistake in page 112 when says: It is relatively easy to show that Vi is
>>>> normally distributed with mean X i × β and variance V i in mathematical
>>>> notation...
>>>>
>>>> It should say Yi instead of Vi, right?
>>>>
>>>> Cheers,
>>>> Joaquín .
>>>>
>>>> 2016-07-08 9:02 GMT-03:00 Thierry Onkelinx <thierry.onkelinx op inbo.be>:
>>>>
>>>>> Dear Joaquin,
>>>>>
>>>>> I'd recommend Zuur et al 2009, section 5.4
>>>>>
>>>>> Best regards,
>>>>>
>>>>> ir. Thierry Onkelinx
>>>>> Instituut voor natuur- en bosonderzoek / Research Institute for Nature
>>>>> and Forest
>>>>> team Biometrie & Kwaliteitszorg / team Biometrics & Quality Assurance
>>>>> Kliniekstraat 25
>>>>> 1070 Anderlecht
>>>>> Belgium
>>>>>
>>>>> To call in the statistician after the experiment is done may be no
>>>>> more than asking him to perform a post-mortem examination: he may be able
>>>>> to say what the experiment died of. ~ Sir Ronald Aylmer Fisher
>>>>> The plural of anecdote is not data. ~ Roger Brinner
>>>>> The combination of some data and an aching desire for an answer does
>>>>> not ensure that a reasonable answer can be extracted from a given body of
>>>>> data. ~ John Tukey
>>>>>
>>>>> 2016-07-07 20:17 GMT+02:00 Joaquín Aldabe <joaquin.aldabe op gmail.com>:
>>>>>
>>>>>> Dear all, I´m a basic user of mixed models but there are things that
>>>>>> I´ve
>>>>>> found hard to understand. On of these is how the model solves the
>>>>>> correlations among samples taken in the same site or levels of other
>>>>>> kind
>>>>>> of grouping variable.
>>>>>>
>>>>>> I´ve consulted Bolker (2015) in G. Fox et al Ed., Zuur et al 2009 and
>>>>>> part
>>>>>> of Pinheiro and Bates (2000). But still don´t understand the way that
>>>>>> GLMM
>>>>>> include the correlation effect in the predictions of the model.
>>>>>>
>>>>>> I really appreciate any comment and/or bibliographic reference that
>>>>>> help me
>>>>>> understand this.
>>>>>>
>>>>>> Thanks in advanced,
>>>>>> Joaquín.
>>>>>>
>>>>>> --
>>>>>> *Joaquín Aldabe*
>>>>>>
>>>>>> *Grupo Biodiversidad, Ambiente y Sociedad*
>>>>>> Centro Universitario de la Región Este, Universidad de la República
>>>>>> Ruta 15 (y Ruta 9), Km 28.500, Departamento de Rocha
>>>>>>
>>>>>> *Departamento de Conservación*
>>>>>> Aves Uruguay
>>>>>> BirdLife International
>>>>>> Canelones 1164, Montevideo
>>>>>>
>>>>>> https://sites.google.com/site/joaquin.aldabe
>>>>>> <https://sites.google.com/site/perfilprofesionaljoaquinaldabe>
>>>>>>
>>>>>>         [[alternative HTML version deleted]]
>>>>>>
>>>>>> _______________________________________________
>>>>>> R-sig-mixed-models op r-project.org mailing list
>>>>>> https://stat.ethz.ch/mailman/listinfo/r-sig-mixed-models
>>>>>
>>>>>
>>>>>
>>>>
>>>>
>>>> --
>>>> *Joaquín Aldabe*
>>>>
>>>> *Grupo Biodiversidad, Ambiente y Sociedad*
>>>> Centro Universitario de la Región Este, Universidad de la República
>>>> Ruta 15 (y Ruta 9), Km 28.500, Departamento de Rocha
>>>>
>>>> *Departamento de Conservación*
>>>> Aves Uruguay
>>>> BirdLife International
>>>> Canelones 1164, Montevideo
>>>>
>>>> https://sites.google.com/site/joaquin.aldabe
>>>> <https://sites.google.com/site/perfilprofesionaljoaquinaldabe>
>>>>
>>>>
>>>
>>>
>>> --
>>> *Joaquín Aldabe*
>>>
>>> *Grupo Biodiversidad, Ambiente y Sociedad*
>>> Centro Universitario de la Región Este, Universidad de la República
>>> Ruta 15 (y Ruta 9), Km 28.500, Departamento de Rocha
>>>
>>> *Departamento de Conservación*
>>> Aves Uruguay
>>> BirdLife International
>>> Canelones 1164, Montevideo
>>>
>>> https://sites.google.com/site/joaquin.aldabe
>>> <https://sites.google.com/site/perfilprofesionaljoaquinaldabe>
>>>
>>>
>>
>
>
> --
> *Joaquín Aldabe*
>
> *Grupo Biodiversidad, Ambiente y Sociedad*
> Centro Universitario de la Región Este, Universidad de la República
> Ruta 15 (y Ruta 9), Km 28.500, Departamento de Rocha
>
> *Departamento de Conservación*
> Aves Uruguay
> BirdLife International
> Canelones 1164, Montevideo
>
> https://sites.google.com/site/joaquin.aldabe
> <https://sites.google.com/site/perfilprofesionaljoaquinaldabe>
>
>

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