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Re: statistics in Roberts. Was: RAW vs. raw image format

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Anton Shepelev wrote:

> Thank you for the answer, David Jones:
> 
>
> 
> > But, if you really wanted to do a spectral analysis
> > combining all groups without joining them together, this
> > is certainly possible ... you just have to understand the
> > meaning of the quantities produced in the analysis of a
> > single series.
> 
> So, you propose to amend my analysis by performing 20
> separate spectral analyses?
> ____________________

No, I suggest you do a single combined spoectral analysis, or that you
do a sine-curve regression, by not pretending you have a single
time-series. You have to understand that an ordinary spectral analysis
is just a special case of regression.

A usual time-series analysis would proceed on the basis that the
relevant "times" are equally spaced and that the position/index within
a single array can be used as a time, instead of having the time
specified explicitly. Then when the time is needed, for example to use
in a sine or cosine function, it is immediately available, rather than
deriving it from the position in the array, So, as a starting position
you would have a dataset that closely corresponds to the actual results
of the experiment. Thus, in instances where the "joining" approach
would replace two values with one, the two original values would be
kept separately, and there would be no related adjustments.
Additionally where there were actually gaps in the original
observations, this can be included. Similarly for incomplete sequences.

Of course this means that the usual time-series packages would not be
useable and, specifically, not the FFT. BUt the series for your problem
are not very long, so no strong need for the FFT.

If you take the view that one of your objectives is to leave a set of
data that are available for others to re-analyse, then it would be good
to include as much explicit information as possible, without
pre-judging what analysis might be done.

To analyse the data, you need to have a statstical model for the
original observations. Such a model explicitly represents what the
modeller thinks explains the variation in the observations. Possibly
this would be represented as an ordinary regression model, but a mixed
fixed- and random-effects model might be considered. THere are
reasonably standard procedures linked to regression that allow checks
to be made on the various assumptions and to look-out for unexplained
effects.

To turn this into a "spectral analysis", YOu would just need to do a
sequence of regression analyses, where each one would have a sine- and
cosine-pair of a single frequency, and where the corresponding value in
the "spectrogram" would be the sum of the square of the regression
coefficients of the sine and cosine terms. It may be possible to
justify  reducing the compuations here, by first do a single regression
with no sinusoid at all, and then doing the spectral analysis on the
residuals.

I Suggest you find an experienced statistician to undertake much of
this. At the very least you need someone with the time and ability to
think, and someone who will not try to force the analysis to fit within
the compass of some existing computer package.

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statistics in Roberts. Was: RAW vs. raw image format Rich Ulrich <rich.ulrich@comcast.net> - 2023-02-27 16:00 -0500
  Re: statistics in Roberts. Was: RAW vs. raw image format davidd02@tpg.com.au (David Duffy) - 2023-02-28 07:47 +0000
    Re: statistics in Roberts. Was: RAW vs. raw image format davidd02@tpg.com.au (David Duffy) - 2023-02-28 09:12 +0000
      Re: statistics in Roberts. Was: RAW vs. raw image format davidd02@tpg.com.au (David Duffy) - 2023-03-13 01:23 +0000
        Re: statistics in Roberts. Was: RAW vs. raw image format Anton Shepelev <anton.txt@g{oogle}mail.com> - 2023-03-13 10:32 +0300
        Re: statistics in Roberts. Was: RAW vs. raw image format Anton Shepelev <anton.txt@g{oogle}mail.com> - 2023-03-13 10:58 +0300
          Re: statistics in Roberts. Was: RAW vs. raw image format davidd02@tpg.com.au (David Duffy) - 2023-03-14 04:13 +0000
  Re: statistics in Roberts. Was: RAW vs. raw image format "David Jones" <dajhawkxx@nowherel.com> - 2023-02-28 12:42 +0000
    Re: statistics in Roberts. Was: RAW vs. raw image format nospam@de-ster.demon.nl (J. J. Lodder) - 2023-02-28 14:22 +0100
      Re: statistics in Roberts. Was: RAW vs. raw image format "David Jones" <dajhawkxx@nowherel.com> - 2023-02-28 14:01 +0000
        Re: statistics in Roberts. Was: RAW vs. raw image format nospam@de-ster.demon.nl (J. J. Lodder) - 2023-02-28 15:12 +0100
          Re: statistics in Roberts. Was: RAW vs. raw image format "David Jones" <dajhawkxx@nowherel.com> - 2023-02-28 14:57 +0000
            Re: statistics in Roberts. Was: RAW vs. raw image format nospam@de-ster.demon.nl (J. J. Lodder) - 2023-02-28 21:36 +0100
    Re: statistics in Roberts. Was: RAW vs. raw image format Anton Shepelev <anton.txt@gmail.moc> - 2023-03-04 00:46 +0300
      Re: statistics in Roberts. Was: RAW vs. raw image format nospam@de-ster.demon.nl (J. J. Lodder) - 2023-03-03 23:40 +0100
    Re: statistics in Roberts. Was: RAW vs. raw image format "David Jones" <dajhawkxx@nowherel.com> - 2023-03-09 17:07 +0000
    Re: statistics in Roberts. Was: RAW vs. raw image format Anton Shepelev <anton.txt@gmail.moc> - 2023-03-19 00:41 +0300
      Re: statistics in Roberts. Was: RAW vs. raw image format "David Jones" <dajhawkxx@nowherel.com> - 2023-03-19 00:08 +0000
        Re: statistics in Roberts. Was: RAW vs. raw image format Anton Shepelev <anton.txt@gmail.moc> - 2023-03-20 01:08 +0300
          Re: statistics in Roberts. Was: RAW vs. raw image format "David Jones" <dajhawkxx@nowherel.com> - 2023-03-19 23:14 +0000
            Re: statistics in Roberts. Was: RAW vs. raw image format "David Jones" <dajhawkxx@nowherel.com> - 2023-03-19 23:48 +0000
            Re: statistics in Roberts. Was: RAW vs. raw image format Anton Shepelev <anton.txt@g{oogle}mail.com> - 2023-03-20 11:58 +0300
              Re: statistics in Roberts. Was: RAW vs. raw image format "David Jones" <dajhawkxx@nowherel.com> - 2023-03-20 17:23 +0000
                Re: statistics in Roberts. Was: RAW vs. raw image format Anton Shepelev <anton.txt@gmail.moc> - 2023-03-24 00:11 +0300
                Re: statistics in Roberts. Was: RAW vs. raw image format "David Jones" <dajhawk18xx@@nowhere.com> - 2023-03-23 23:59 +0000
      Re: statistics in Roberts. Was: RAW vs. raw image format Tom Roberts <tjoberts137@sbcglobal.net> - 2023-03-19 14:22 -0500
        Re: statistics in Roberts. Was: RAW vs. raw image format Anton Shepelev <anton.txt@g{oogle}mail.com> - 2023-03-20 14:07 +0300
          Re: statistics in Roberts. Was: RAW vs. raw image format nospam@de-ster.demon.nl (J. J. Lodder) - 2023-03-20 14:35 +0100
            Re: statistics in Roberts. Was: RAW vs. raw image format Anton Shepelev <anton.txt@g{oogle}mail.com> - 2023-03-20 17:01 +0300
          Re: statistics in Roberts. Was: RAW vs. raw image format Tom Roberts <tjoberts137@sbcglobal.net> - 2023-03-20 16:20 -0500
        Re: statistics in Roberts. Was: RAW vs. raw image format nospam@de-ster.demon.nl (J. J. Lodder) - 2023-03-20 14:35 +0100
          Re: statistics in Roberts. Was: RAW vs. raw image format Anton Shepelev <anton.txt@g{oogle}mail.com> - 2023-03-20 17:33 +0300
  Re: statistics in Roberts. Was: RAW vs. raw image format Anton Shepelev <anton.txt@gmail.moc> - 2023-03-03 23:33 +0300
  Re: statistics in Roberts' paper on Miller Tom Roberts <tjoberts137@sbcglobal.net> - 2023-03-05 12:48 -0600
    Re: statistics in Roberts' paper on Miller nospam@de-ster.demon.nl (J. J. Lodder) - 2023-03-05 21:47 +0100
      Re: statistics in Roberts' paper on Miller Tom Roberts <tjoberts137@sbcglobal.net> - 2023-03-08 21:26 -0600
    Re: statistics in Roberts' paper on Miller Rich Ulrich <rich.ulrich@comcast.net> - 2023-03-06 23:08 -0500
      Re: statistics in Roberts' paper on Miller Tom Roberts <tjoberts137@sbcglobal.net> - 2023-03-08 21:40 -0600
    Re: statistics in Roberts' paper on Miller Anton Shepelev <anton.txt@gmail.moc> - 2023-03-08 15:33 +0300
      Re: statistics in Roberts' paper on Miller Tom Roberts <tjoberts137@sbcglobal.net> - 2023-03-08 23:11 -0600
        Re: statistics in Roberts' paper on Miller Anton Shepelev <anton.txt@gmail.moc> - 2023-03-10 01:04 +0300
          Re: statistics in Roberts' paper on Miller Tom Roberts <tjoberts137@sbcglobal.net> - 2023-03-11 12:54 -0600
            Re: statistics in Roberts' paper on Miller Anton Shepelev <anton.txt@gmail.moc> - 2023-03-12 14:25 +0300
              Re: statistics in Roberts' paper on Miller Tom Roberts <tjoberts137@sbcglobal.net> - 2023-03-17 13:27 -0500
                Re: statistics in Roberts' paper on Miller Anton Shepelev <anton.txt@gmail.moc> - 2023-03-19 00:32 +0300
                Re: statistics in Roberts' paper on Miller Tom Roberts <tjoberts137@sbcglobal.net> - 2023-03-19 14:45 -0500
            Re: statistics in Roberts' paper on Miller Tom Roberts <tjoberts137@sbcglobal.net> - 2023-03-20 16:06 -0500
              Re: statistics in Roberts' paper on Miller Anton Shepelev <anton.txt@g{oogle}mail.com> - 2023-03-21 13:00 +0300
    Re: statistics in Roberts' paper on Miller Anton Shepelev <anton.txt@gmail.moc> - 2023-03-08 19:11 +0300
      Re: statistics in Roberts' paper on Miller Anton Shepelev <anton.txt@g{oogle}mail.com> - 2023-03-09 11:48 +0300
        Re: statistics in Roberts' paper on Miller Anton Shepelev <anton.txt@g{oogle}mail.com> - 2023-03-09 11:57 +0300
    Re: statistics in Roberts' paper on Miller Tom Roberts <tjoberts137@sbcglobal.net> - 2023-03-08 21:09 -0600
    Re: statistics in Roberts' paper on Miller "David Jones" <dajhawkxx@nowherel.com> - 2023-03-09 17:13 +0000
      Re: statistics in Roberts' paper on Miller Anton Shepelev <anton.txt@gmail.moc> - 2023-03-09 23:26 +0300
        Re: statistics in Roberts' paper on Miller "David Jones" <dajhawkxx@nowherel.com> - 2023-03-10 01:37 +0000
          Re: statistics in Roberts' paper on Miller nospam@de-ster.demon.nl (J. J. Lodder) - 2023-03-10 11:25 +0100
          Re: statistics in Roberts' paper on Miller Anton Shepelev <anton.txt@gmail.moc> - 2023-03-11 00:13 +0300
          Re: statistics in Roberts' paper on Miller Tom Roberts <tjoberts137@sbcglobal.net> - 2023-03-10 15:42 -0600
            Re: statistics in Roberts' paper on Miller Anton Shepelev <anton.txt@gmail.moc> - 2023-03-11 01:32 +0300
              Re: statistics in Roberts' paper on Miller - Data Tom Roberts <tjoberts137@sbcglobal.net> - 2023-03-11 12:18 -0600
                Re: statistics in Roberts' paper on Miller - Data Anton Shepelev <anton.txt@gmail.moc> - 2023-03-12 00:13 +0300
                Re: statistics in Roberts' paper on Miller - Data Anton Shepelev <anton.txt@gmail.moc> - 2023-03-20 00:38 +0300
        Re: statistics in Roberts' paper on Miller Tom Roberts <tjoberts137@sbcglobal.net> - 2023-03-10 15:25 -0600
          Re: statistics in Roberts' paper on Miller Anton Shepelev <anton.txt@gmail.moc> - 2023-03-12 00:01 +0300
      Re: statistics in Roberts' paper on Miller Tom Roberts <tjoberts137@sbcglobal.net> - 2023-03-10 15:10 -0600
    Re: statistics in Roberts' paper on Miller Anton Shepelev <anton.txt@gmail.moc> - 2023-03-11 01:14 +0300
      Re: statistics in Roberts' paper on Miller Tom Roberts <tjoberts137@sbcglobal.net> - 2023-03-11 13:08 -0600
        Re: statistics in Roberts' paper on Miller Anton Shepelev <anton.txt@gmail.moc> - 2023-03-12 01:51 +0300
    Re: statistics in Roberts' paper on Miller "David Jones" <dajhawkxx@nowherel.com> - 2023-03-15 17:10 +0000
      Re: statistics in Roberts' paper on Miller nospam@de-ster.demon.nl (J. J. Lodder) - 2023-03-15 22:36 +0100
        Re: statistics in Roberts' paper on Miller "David Jones" <dajhawk18xx@@nowhere.com> - 2023-03-15 22:18 +0000
          Re: statistics in Roberts' paper on Miller nospam@de-ster.demon.nl (J. J. Lodder) - 2023-03-15 23:28 +0100
      Re: statistics in Roberts' paper on Miller Tom Roberts <tjoberts137@sbcglobal.net> - 2023-03-19 13:46 -0500
        Re: statistics in Roberts' paper on Miller "David Jones" <dajhawkxx@nowherel.com> - 2023-03-19 22:57 +0000
          Re: statistics in Roberts' paper on Miller Anton Shepelev <anton.txt@g{oogle}mail.com> - 2023-03-20 12:05 +0300

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