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How do inductions bias the due date statistics?

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I wanted to make this simple data table after many visitors posed this question: We know that many women are induced for to avoid going postdate, doesn't this bias our data? After all, most of the graphs I have just throw out inductions and show data based on only spontaneous labor. But what if ALL those women who were induced were actually supposed to go late, how long would the real average pregnancy last? Most of the people asking this question believe in their hearts that the average baby wants to arrive closer to 41 weeks or later, and the medical field is in denial and wants to induce us for convenience. I do not believe this, but wanted a quick way to explain myself, so here's this page.

The problem with the "we're all meant to go 41 weeks" theory is that so many women spontaneously go into labor in the days leading up to 40 W, there aren't enough inductions (even in our induction-happy world) being done to offset the average. Here are the median days for the spontaneous labors (3238 total), and the shifted median if every induction (1031 total) was actually supposed to be a very late birth:

Day Spontaneous births on this day Spontaneous births on or before this day Spontaneous births after this day Spontaneous births after this day
plus all inductions
Notes?
Before 39 W 757 2481 3512
39W,0D 107 864 2374 3405
39W,1D 80 944 2294 3325
39W,2D 94 1038 2200 3231
39W,3D 127 1165 2073 3104
39W,4D 123 1288 1950 2981
39W,5D 136 1424 1814 2845
39W,6D 156 1580 1658 2689
40W,0D 283 1863 1375 2406 Median for spontaneous births in the survey (more babies were born on or before this day than are born after)
40W,1D 167 2030 1208 2239
40W,2D 146 2176 1062 2093 Median if all inductions are added to the "later birth" total (more babies were spontaneously born on or before this day than all the ones born after, or induced)
40W,3D 131 2307 931 1962
40W,4D 120 2427 811 1842
40W,5D 116 2543 695 1726
40W,6D 114 2657 581 1612
41W,0D 135 2792 446 1477
41W,1D 98 2890 348 1379
41W,2D 65 2955 283 1314
41W,3D 69 3024 214 1245
41W,4D 59 3083 155 1186
41W,5D 41 3124 114 1145
41W,6D 32 3156 82 1113
42W,0D 35 3191 47 1078

So basically, if all the induced women who took my survey had been left to stay pregnant until the very end (past 42 weeks), then the median day for birth would shift by 2 days. Not an entire week.

Due Date Survey Data

Due date statistics: A study on the length of pregnancy
Probability of delivery resulting from spontaneous labor after 35 weeks
Probability of delivery within x days of a given date
Length of pregnancy by week
Spontaneous labor and due date determination
Length of pregnancy, comparing subsequent births for individual moms
Length of pregnancy for first time vs. second & third time moms
Length of pregnancy, type of delivery
Gestation vs. Birthweight
Probablity of Induction after a given day
Average day of spontaneous labor vs. age of mother at time of birth
Are more babies born during a full moon?
What's the most common day of the week for babies to be born?
I'm still pregnant at 40W. What's it mean?
Do winter babies arrive later?
What if I know my conception date?
Are boys or girls born later?
Subsequent pregnancy date search
How do inductions bias the due date statistics?
Birth Stories
Survey input dates

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