Learn English – Difference between “extreme peril”, “mortal danger” and “grave danger”

I think you are confused between as of whole as a preposition and as and of as two separate words!

as of (preposition) - from that time

Now...

used to indicate the basis, grounds, or cause, as [of a statement or action] - of here means about that statement/action.

As of (something) can also mean someone's something in that context/condition.

The example of other as of...

For I heard a cry as of a woman in labor, The anguish as of one giving birth to her first child, The cry of the daughter of Zion gasping for breath, Stretching out her hands, saying, "Ah, woe is me, for I faint before murderers - Jeremiah 4:31 (Bible)

The term unit of measure is commonly used as well as universally understood and accepted in medicine, other sciences, and engineering — leaving no need to use the longer term, unit of measurement.

In this usage, measure and measurement are essentially identical:

measure   2.1   A system or scale of standard measuring units – oxforddictionaries.com

measurement   1.2   A unit or system of measuring – oxforddictionaries.com

If this reduces to a survey of opinion, mine is that the broader meaning of measurement unnecessarily evokes the act that produced the result; the act itself should receive sufficient attention in the surrounding text.

If the amounts in question are input parameters rather than reports of actual measurements, the term unit of measure is more appropriate than unit of measurement.

More about measurement can be seen at English Language & Usage: Difference between “measurement” and “measuring.”

Even though the writers of Wikipedia's article chose Units of measurement as its title, Wikipedia also says:

Unit of measure commonly refers to Units of measurement for relevance to weights and measures.