The difference is in the method of transmission. An "analog" transmission is in wave form while a digital signal is in 0s and 1s. Digital signals tend to be clearer and use much less hardware (fewer circuit paths) to transmit the signal. The EKT systems from the late seventies through the early 90s are analog as signal is still being transmitted in wave form.
That said, I do not know of any phone system manufactured today that is using wave form signalling. Even the Panasonic KXTA system is using digital signalling inside the switch. Why they decided to call it analog is beyond me.
The Partner is Digital, not analog.

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