I've posted this on other DNA threads about Native ancestry. It explains some points. The title just about killed me because the stories in my family as well ---
http://www.rootsandrecombinantdna.com/2015/03/native-american-dna-is-just-not-that.html
Very informative on the issue. As well as using third party tools to go forward.
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Remember, just like the explanation/link posted earlier, that there can be multiple children in a family with no link to a certain heritage and it can show up in just one. So none for you does not mean it is not there.
There are four of us in our family, and only one picked up a bit of Polynesia. We are mainly Irish, Scandinavian, some Great Britain.
Only two of us picked up a bit of Finland/Northwest Russia.
There is a story of someone who was 100% that they had Native American ancestry. Four children. None. Nope. No and then suddenly a percentage in the fourth.
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As far as the tests not being accurate. I totally disagree. Why? We sent six samples within a month to ancestry.com. Four of us are white, one is black and one is extremely mixed heritage (meaning between white, black, and South Asian heritage - all of us are mixed to some extent). Obviously, no one knows that - a given.
Bang on with everyone. Meaning it all made sense. My mother was three distinct main categories - Ireland, Scandinavia, Europe West (how they put that). My two sisters carried the exact three distinct main categories. Sent in at different time periods, separately.
I picked up a fourth main and it is evident that I picked up my father's there.
The next, the test obviously doesn't know that she's black. She carried mainly African countries/areas. And of course a good percentage of smaller white percentages - Great Britain/Ireland. And more - Caucasus, which explained some stories through the years.
The sixth, a family member, was practically every single area in the world. We obviously knew generally but boy was it was something! From East Asia to Ireland to Polynesia to South Asia to Scandinavia to African countries to Central Asia to Great Britain to Caucasus. And that's not the full list. She had five main areas and twelve smaller ones.