Ask Experts Questions for FREE Help !
Ask
    jim082's Avatar
    jim082 Posts: 4, Reputation: 1
    New Member
     
    #1

    Feb 10, 2010, 05:49 PM
    Maximum Likelihood in Statistics
    First let me say I am not a student asking for homework help. I have been perusing a old book of mine 'Introduction to the Theory of Statistics' (Mood 1950) and have come across the following problem at the end of one of the chapters. It is stated exactly as follows:"Suppose intelligence quotients for students in a particular age group are normally distruibuted about a mean of 100 with standard deviation of 15. The I.Q.,say x , of a particular student is to be estimated by a test on which he scores 130. It is further given that test scores are normally distributed about the true I.Q. as a mean with standard deviation 5. What is the maximum-likelihood estimate of the student's I.Q.? (The answer is not 130)." Unless the answer is 110, I am clueless
    This was originally posted under "homework help", which I thought I explained right in the beginning that it was not. I had hoped that Galactus would comment.
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
    Ultra Member
     
    #2

    Feb 11, 2010, 01:56 PM

    From what I can gather, this problem is rather complicated and is famous in the stats world in regards to Henderson(a famous and ingenious statistician). Here is a link telling a little about it. Scroll down to page 6:

    http://jds.fass.org/cgi/reprint/74/11/4035.pdf
    jim082's Avatar
    jim082 Posts: 4, Reputation: 1
    New Member
     
    #3

    Feb 11, 2010, 05:31 PM
    Galactus: I went to the link you suggested and sure enough there was the problem, quoted exactly. I also noted that in the list of references was A. M. Mood's "Introduction to the Theory of Statistics" Makes me wonder, which came first, the chicken or the egg? Mood hadn't introduced matrices before the problem was asked, so Henderson's work didn't help me. However, I appreciate your comments and salute your what appears to be an excellent memory for details. If you happen to work on the problem further and come up with an answer I would appreciate hearing from you. Thanks for your effort.

Not your question? Ask your question View similar questions

 

Question Tools Search this Question
Search this Question:

Advanced Search

Add your answer here.


Check out some similar questions!

Pregnancy likelihood after period [ 1 Answers ]

I'm 16 and had sex with partner 2 days after my period ended we used a condom but found it split and when I went to the pharmacist to get the morning after pill she advised I didn't need it however I am worried that there is a chance I'm pregnant and would like to know what signs I can look out for...

What is the likelihood [ 3 Answers ]

I just received a call today from an outside company. They stated that they were the finally call and that the credit card company may pursue legal action or judgement against me. The debt is $6000. What is the likelihood that they will garnish my wages for that amount of debt. If they do that...

Maximum height [ 2 Answers ]

Hello there, I am suppose to answer this question but I don't know how to go about it. A shrub 20cm tall is planted and in its first years it grow 8cm tall, in the second it grows 4cm more, in the third year it grows 2cm more and so on. What is the maximum height the tree will grow? So far...

What's the likelihood I am pregnant? [ 2 Answers ]

Me and my boyfriend had sex last night and I took the morning after pill just 9 hours later. But I get really worried as I am not ready for children. The pharmacist that prescribed the morning after pill said there was an 84% chance that it would prevent pregnancy. But is this a realistic...

Likelihood of sewer gas odor to disappear or linger in house after traps filled? [ 5 Answers ]

I'm concerned about a sewer gas odor in a new home being built. The sewer gas odor has been in there for a couple months already without ventilation apparently because the traps dried out. The builder says he will not take any action on it until the plumbing gets turned on and says the odor won't...


View more questions Search