The DMM6500, like most Keithley meters does not follow the normal shape for the Allan deviation. In AZ mode they seem to use some odd averaging for the zero and this hapers the 1/f noise suppression. This give a pateau in the allan dev curve from about 1 sec to 50 sec and a drop only after that..
.. so the the tau=30secs or 40secs fits with Keithley well, and the 300secs was too long tau, in order to see the DUT's minimal average sliding std value.
PS: for younger people here an example (with some simplification, an ideally stable, noise free DUT=10V, tau=30secs):
1uV averaged sliding STD over 30seconds says that 68.3% of any two DMM readings made 30secs apart will fall into an interval from 10V-1uV to 10V+1uV (aka plus minus 1 sigma of normal distribution, it is 1uVrms)
or
1uV averaged sliding STD over 30seconds says that 99.9% of any two DMM readings made 30secs apart will fall into an interval from 10V-3.29*1uV to 10V+3.29*1uV (aka plus minus 3.29 sigma of normal distribution, it is 1uVp-p)The usually "U" shaped ADEV indicates that any two DMM readings made too frequently (short tau) are more noisier or less stable, and any two DMM readings made long time apart are also more unstable or more noisier. Thus there are optimal taus for quality DMMs (the STD plateau at the minimum of the ADEV graph).
Also mind you have to average many STD(tau) values in order to achieve some accuracy of the STD.
It goes with 1/sqrt(number_of_STD(tau)), imho (double check that, plz).
In order to be around 10% error (for example) you have to average 100 STDs(tau).
For tau=30secs it means your total measurement should be at least 3000 seconds long.
ADEV does it for you (see the error bars in ADEV graphs for each tau there).
Important - AI reminded me (doublecheck, plz):
Sliding STD(τ) measures the spread of the raw samples inside a window of length τ.
ADEV σ(τ) measures the change between adjacent averages of windows of length τ.So here (34401B vs ADR1001_10V) with an average sliding STD(30secs) I see for example aprox 1uV, and ADEV's sigma(30secs) shows aprox 300nV.
Based on the below equation:
sliding_STD(30) measured = sqrt(30) * ADEV_sigma(30) for ideal White noise..