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- From: huff@mcclb0.med.nyu.edu (Edward J. Huff)
- Newsgroups: sci.math.stat
- Subject: How many samples?
- Message-ID: <huff-020992210907@pgl6.chem.nyu.edu>
- Date: 3 Sep 92 01:11:36 GMT
- Sender: notes@cmcl2.nyu.edu (Notes Person)
- Followup-To: sci.math.stat
- Organization: NYU Chemistry Dept.
- Lines: 39
- Nntp-Posting-Host: pgl6.chem.nyu.edu
-
- I am involved in development of a new measurement technique and am planning
- to do some statistical analysis. Will the statistics experts out there
- please tell me if I am making any serious mistakes, suggest ways to extract
- more information from the data, or point me toward the proper books or
- software to use? Please send E-mail replies, I will summarize if there is
- interest. Thanks.
-
- We measure a quantity which should be related to the mass of an object. We
- want to calculate statistics which indicate how precise the measurement is.
-
- We have a population of objects which is about 90% pure. We can repeat the
- measurement a limited number of times on the same object. We want to take
- a sample of measurements, throw out the measurements of impurity objects,
- and calculate the average and standard deviation for the pure objects.
- What critera should be used to throw out impurities? How many samples are
- needed for routine measurements? How many samples are needed before this
- question can be answered the first time?
-
- The purity might not be known in advance. How many measurements must be
- made to conclude that either the population is not pure at all, so that a
- measurement is meaningless, or that it is reasonably pure?
-
- In a related experiment, we have a mixture of two objects of different
- masses, say 40% of each, with 10% impurities. We want to take a sample of
- measurements and classify each as object A, B, or impurity, and calculate
- an average and standard deviation for A and B.
-
- When the mass of A gets close to that of B, so that the tails overlap
- seriously, what is the proper way of calculating averages for the two
- distributions?
-
- If these questions are answered in some standard text, please recommend one
- which is slanted toward this sort of problem.
-
- --
- Edward J. Huff huff@mcclb0.med.nyu.edu (212)998-8465
- Keck Laboratory for Biomolecular Imaging
- NYU Chemistry Deptartment, 31 Washington Place, New York NY 10003
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