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Discussion of precise time and frequency measurement

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Changing ADEV, (was Phase, One edge or two?)

BC
Bob Camp
Sat, Oct 25, 2014 9:45 PM

Hi

On Oct 25, 2014, at 4:08 PM, Magnus Danielson magnus@rubidium.dyndns.org wrote:

Bob,

On 10/25/2014 08:54 PM, Bob Camp wrote:

Hi

On Oct 25, 2014, at 2:18 PM, Magnus Danielson magnus@rubidium.dyndns.org wrote:

On 10/25/2014 07:06 PM, Tom Van Baak wrote:

In the case of the TimePod, the data can be presented when you have very few samples to work with.
That said, it is interesting to watch it bring up error bars (which are indeed correctly calculated)
and then see the trace walk outside those error bars as the run progresses.
There are other measurements that are a bit less susceptible to this.
None of them have any magic to get around sqrt(N).

Bob

Maybe I don't understand error bars. For a dynamic display like TimeLab, walking outside (1 sigma) error bars is expected about 1/3 of the time, no?

Error bars works a little differently, as they indicate with some probability (say 1-sigma) within which range the real value is.

By the way, sqrt(N) is not very accurate estimator.

But it is a common way to express the fact that your data is unlikely to converge any faster than sqrt(N)…

Yes, but it gives you false hope of how quickly it really converged, as the cross-correlations make you converge even slower than sqrt(N).

Except that management would really like it to converge as N …

Bob

Cheers,
Magnus


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Hi > On Oct 25, 2014, at 4:08 PM, Magnus Danielson <magnus@rubidium.dyndns.org> wrote: > > Bob, > > On 10/25/2014 08:54 PM, Bob Camp wrote: >> Hi >> >>> On Oct 25, 2014, at 2:18 PM, Magnus Danielson <magnus@rubidium.dyndns.org> wrote: >>> >>> >>> >>> On 10/25/2014 07:06 PM, Tom Van Baak wrote: >>>>> In the case of the TimePod, the data can be presented when you have *very* few samples to work with. >>>>> That said, it is interesting to watch it bring up error bars (which are indeed correctly calculated) >>>>> and then see the trace walk outside those error bars as the run progresses. >>>>> There are other measurements that are a bit less susceptible to this. >>>>> None of them have any magic to get around sqrt(N). >>>>> >>>>> Bob >>>> >>>> Maybe I don't understand error bars. For a dynamic display like TimeLab, walking outside (1 sigma) error bars is expected about 1/3 of the time, no? >>> >>> Error bars works a little differently, as they indicate with some probability (say 1-sigma) within which range the real value is. >>> >>> By the way, sqrt(N) is not very accurate estimator. >> >> But it is a common way to express the fact that your data is unlikely to converge any faster than sqrt(N)… > > Yes, but it gives you false hope of how quickly it really converged, as the cross-correlations make you converge even slower than sqrt(N). Except that management would really like it to converge as N … Bob > > Cheers, > Magnus > _______________________________________________ > time-nuts mailing list -- time-nuts@febo.com > To unsubscribe, go to https://www.febo.com/cgi-bin/mailman/listinfo/time-nuts > and follow the instructions there.
MD
Magnus Danielson
Sun, Oct 26, 2014 12:54 AM

Bob,

On 10/25/2014 11:45 PM, Bob Camp wrote:

Hi

On Oct 25, 2014, at 4:08 PM, Magnus Danielson magnus@rubidium.dyndns.org wrote:

Bob,

On 10/25/2014 08:54 PM, Bob Camp wrote:

Hi

Error bars works a little differently, as they indicate with some probability (say 1-sigma) within which range the real value is.

By the way, sqrt(N) is not very accurate estimator.

But it is a common way to express the fact that your data is unlikely to converge any faster than sqrt(N)…

Yes, but it gives you false hope of how quickly it really converged, as the cross-correlations make you converge even slower than sqrt(N).

Except that management would really like it to converge as N …

I bet they do, until you explain to them the consequence of that... with
over-optimistic numbers making the product look bad when it hits reality
and smearing the trust in the company and product names...

There is a certain art to potty-train management.

Cheers,
Magnus

Bob, On 10/25/2014 11:45 PM, Bob Camp wrote: > Hi > >> On Oct 25, 2014, at 4:08 PM, Magnus Danielson <magnus@rubidium.dyndns.org> wrote: >> >> Bob, >> >> On 10/25/2014 08:54 PM, Bob Camp wrote: >>> Hi >>> >>>> >>>> Error bars works a little differently, as they indicate with some probability (say 1-sigma) within which range the real value is. >>>> >>>> By the way, sqrt(N) is not very accurate estimator. >>> >>> But it is a common way to express the fact that your data is unlikely to converge any faster than sqrt(N)… >> >> Yes, but it gives you false hope of how quickly it really converged, as the cross-correlations make you converge even slower than sqrt(N). > > Except that management would really like it to converge as N … I bet they do, until you explain to them the consequence of that... with over-optimistic numbers making the product look bad when it hits reality and smearing the trust in the company and product names... There is a certain art to potty-train management. Cheers, Magnus