Statistics with admission rates

<p>I just want to get into one of these schools, lets say.... in April... let's assume that MY chance of getting in is approx equal to the admission rate ( I KNOW this isnt true and my stats are lower than the average applicant, but let's just assume).... would it work like this?
29 ACT top 20 percent applicant... most rigorous courseload... great ec's,essays,recs...</p>

<p>UCLA-25 %
Berkeley-25%
Georgetown 20%
Stanford-common app 15%
northwestern-common app 25%
brown-15%
Harvard- common app 10%
Princeton-Common APP 10%
U of Chicago- 25%
Cornell-COMMON APP 20%
Yale- Common App 10%
Upenn-COMMON APP 15%
Rice-common app 25%
Duke-common app 25%</p>

<p>APPROXIMATIONS! so therefore.. my chance of getting rejected from any given school is 1-(acceptance rate)... so to find my chances of getting rejected from all the schools would be my chance of getting rejected from one school times each one?</p>

<p>therefore....<br>
.75X.75X.80X.85X.75X.85X.90X.90X.75X.80X.90X.85X.75X.75=.05</p>

<p>so I have a 5 percent shot a getting rejected from all those schools and a 95 percent shot of getting into AT least 1?</p>

<p>THIS IS BASED SOLELY ON ADMISSION RATES AND NO OTHER FACTORS INCLUDED...</p>

<p>I have a FAQ about this. Usually the question is posed with the application plan of applying to all eight of the eight Ivy League colleges, so that’s what my FAQ addresses the most: </p>

<p>Wrong extreme idea 1: </p>

<p>Some students “reason” that if an applicant applies to all eight Ivy League colleges, his chance of admission at any one of them is the same as the average base admission for all of them (which is wrong assumption a). Then the students “reason” that because the eight admission committees don’t all meet in the same room, that they select students “independently” in the STATISTICAL sense (which is wrong assumption b). The students then misapply a formula learned in high school that only applies to differing situations, to calculate that the chance of getting into some Ivy League college is almost a sure thing. </p>

<p>What’s wrong with wrong assumption a is that a weak applicant for admission at the least selective Ivy League college is a weak applicant at all the other colleges in the league, and that means that applicant’s chance of admission anywhere is well below the base rate of admission for any Ivy League college. </p>

<p>What’s wrong with assumption b is that usually colleges don’t have to actively collude to end up choosing similar kinds of applicants. ALL colleges prefer stronger applicants to weaker applicants. A teacher of statistics explained to me what “independence” means in the sense used by statisticians: “What is independence? It means that when you learn about the outcome of one event, it has no influence on your guess about the probability of success in another event. However, in this case, if a student gets rejected from 8 schools, that DOES influence my guess about how likely he is to get rejected from the 9th school. I’d say someone who gets rejected from 8 schools is more likely to get rejected from the 9th than someone who didn’t get rejected from 8 schools.” In other words, even if colleges act independently in the layman’s sense of the term, you can’t use the multiplicative rule of probability to figure out the joint probability of being admitted to one out of the eight Ivy League colleges. Plenty of students get rejected by all eight. </p>

<p>Other threads from time to time bring up </p>

<p>Wrong extreme idea 2: </p>

<p>Ivy League admission officers are thin-skinned and personally offended if you apply to their “competitors,” and will reject you if you apply to all eight Ivy League colleges. </p>

<p>Well, that’s just ridiculous. There are plenty of students each year who are admitted to more than one Ivy League college (of course, those are rather extraordinary students) and there are at least a few each year who apply to all eight and are admitted to all eight. Ivy League colleges do NOT collude in this manner when making admission decisions. They admit the students who they think will fit well into the next entering class and contribute to the campus community. The bottom-tier Ivy League colleges admit a lot of students who don’t enroll (that is, those colleges have rather low “yield,”) because they admit some students who prefer to enroll at one of the OTHER Ivy college colleges that admitted them. Each college has its own tricks, in five cases including binding early decision programs, to identify students who genuinely prefer that college, but in the regular action round, every college admits some students who are also admitted by some of the other Ivy League colleges, perhaps all of the Ivy League colleges. </p>

<p>Bottom line: don’t worry about either wrong, extreme idea. Apply well to all of the colleges that interest you. (You’ve already applied, haven’t you, as of the date of this post, if you’ve met this year’s deadlines, right?) There is little point in applying to a college you wouldn’t possibly attend if admitted, but there is every reason to apply to a college you like, because you can’t get in if you don’t apply.</p>

<p>P.S. An ACT score of 29 is on the low end of Harvard’s range.</p>

<p>yep your right… i just wanted someone to tell me if my math was right… not my reasoning… but good advice! I just want to get into one of those schools…hoping i get financial aid from that school.. no way I’d pay 50k for harvard… and both my parents are doctors so money isn’t an issue.. it’s the principle</p>

<p>so I know the logic is obviously faulty, but is the math correct? let’s just assume my chance of admission is the acceptance rate for each school… then would I have a 95 % shot of getting into at least 1?</p>

<p>Well, that’s the difference between statistics and mathematics. Sometimes you can use correct math to get a wrong statistical conclusion. For some amusing examples of this, see </p>

<p><a href=“http://statland.org/MAAFIXED.PDF[/url]”>http://statland.org/MAAFIXED.PDF&lt;/a&gt;&lt;/p&gt;

<p>yup but I’m only looking at admission rates right now, regardless if it leads to a wrong conclusion… I was just wondering whether or not the math was right… I got a 5 percent chance of getting rejected from all the schools.. does the math make sense?</p>

<p>The problem with your math is the assumption upon which the equation rests: that the events are independent (like tossing a coin). Acceptances to different colleges are not independent, they are highly correlated as all are based on similar factors such as gpa, scores, etc.</p>

<p>and I’m trying to say… that lets ASSUME that they independent events… i’m using acceptance rates… is my math correct in saying that the probability of getting rejected from all of them is prob of getting rejected to one times each one? so around 95 percent chance of getting into 1 school…</p>

<p>You can’t make the assumption, so you can’t reach the conclusion. Have you taken an AP statistics course?</p>

<p>yeah I knew before posting this thread about the faulty logic…but let’s assume my chance of acceptance at each school is what I posted on the first post… then it would mean I have a 5 percent chance of getting rejected t all of them?</p>

<p>Hahaha, talk about being shot down at every turn… @__@</p>

<p>I see from your past posts that this is really just an extension of your many chances threads. Sorry, no go, where you get admitted will have nothing to do with statistics, faulty or not.</p>

<p>HAHA I knew beforehand that it would be hard to get a straightforward answer… Didn’t think it would take 11 posts though…</p>