However, this is all empirics and statistics. It could also have been that what you did worked out and your child would be through with potty-training after two or three days. You never know. You will have to try and find out. And you will experience setbacks.
Has your daughter noticed you're not using diapers? Nor anyone else older than she is? Have you talked about this? How important a part this is in growing up? Have you explained to her that being able to get along without a diaper is an important step for being (even more) welcome at her grandparent's and friends' houses? How your mother told you how you had to learn this, too?
As a practical hint: Many parents I know have found that getting rid of diapers worked best during a summer vacation, when there was no pressure "to get it over with" and when the child ran around naked and actually experienced what happens in the plumbing down there. And for some, it took two such summers.
Also: One of my sons never used a potty. He just refused, pointing out that all the other members of the family were using the toilet. So he used the toilet seat addition we had for his older siblings, rather than a potty. Of course, initially this was much harder for him (and, thus, for us as well), but in the end it all worked out well and of course simplified things for us, too. (He was also the one who never ate baby pap. He either wanted what we ate, or his mother's breast. That, too, worked out surprisingly well.) On the other end of the spectrum, one of my children would occasionally wet the bed at the age of seven. And there's nothing I could do about it except for being patient and fiercely loving the child.
To put it into one paragraph: Don't despair. Be patient. Keep trying to find a way. Relieve the pressure, from your child and from you. Instead employ your child's urge to grow up. Be patient. Remember how you love her.
