Print

Print


It's called a 2-sided 95% Prediction Interval. Like the Prediction Interval in a regression.

In general, you can work out a (2-sided) 95% prediction interval for a variable X with any distribution by excluding the values x for which
P(X <= x) <= 0.025
P(X >= x) <= 0.025
If X is continuous, the limits of the interval are the values x1 and x2 such 
that
P(X <= x1) = 0.025
P(X >= x2) = 0.025
If X is normal, x1 = mean - 2sd,  x2 = mean + 2sd (approximately).

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Rodney Carr
School of Management Information Systems
Deakin University
PO Box 423
Warrnambool VIC 3280
Australia
email: [log in to unmask]      phone: + 61 3 5563 3458
mobile: 0417 307 692       fax: + 61 3 5563 3320
www: http://www.man.deakin.edu.au/rodneyc



-----Original Message-----
From:	tra [SMTP:[log in to unmask]]
Sent:	Wednesday, September 13, 2000 10:00 PM
To:	[log in to unmask]
Subject:	QUERY:  Confidence interval for individual measurements.

A 95% confidence interval for a population mean is well known and often
calculated as approximately  mean +/- 2*(standard-error-of-the-mean).

My question is, what is the most common and easily understood term for
an interval with end-points mean +/- 2*SD which will contain 95% of the
individual values of a population.  The ends of the interval are
estimates of the 2.5 and 97.5 percentiles of the distribution.

Thanks

Tim

--
T R Auton PhD MSc C.Math
Head of Biomedical Statistics
Protherics Molecular Design Ltd
Beechfield House
Lyme Green Business Park
Macclesfield
Cheshire SK11 0JL
UK
email: [log in to unmask]





%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%