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#1 2006-03-30 09:01:29
- MathsIsFun
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Statistics Formulas
Statistics Formulas
Average (mean):
Binomial Probability Mass Function
The probability of getting exactly k successes out of n events where the probability of k on each event is p:
Mean:
Variance:
Standard deviation:
"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman
#2 2006-05-04 01:58:59
- ganesh
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Re: Statistics Formulas
Poisson Distribution
Poisson distrubtion is the limiting form of the Binomial Distribution when n, the number of trials is very large, and p, the probability of success, is very small, np remains finite.
Let
A random variable X taking values 0,1,2 .. is said to have a Poisson distribution with parameter
if its proabability distribution is given by
where r=0,1,2....
The mean of the Poisson Distribution
The variance of the Poisson Distribution
The mean and the variance of the Poisson Distribution is equal to .
Character is who you are when no one is looking.
#3 2008-03-07 03:32:02
- Daniel123
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Re: Statistics Formulas
Product Moment Correlation Coefficient (PMCC)
The least squares regression line
y = a + bx
and
Where
Last edited by Daniel123 (2008-03-23 12:32:39)
#4 2008-03-07 03:41:49
- Daniel123
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Re: Statistics Formulas
Normal Distribution Function
Last edited by Daniel123 (2008-04-16 06:14:04)
#5 2008-12-07 23:50:57
- ganesh
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Re: Statistics Formulas
Standard Deviation
where
and is the mean.
Standard Deviation
where d = x - A, where A is the Assumed mean.
Standard Deviation for Discrete series:
In discrete series when deviations are taken from Arithmetic Mean,
where
and is the mean.
When deviations are taken from Assumed mean,
where d = x - A and A is the Assumed mean.
Variance
Variance is the square of Standard Deviation. The positive square root of the variance is defined as Standard Deviation.
Standard Deviation for the first 'n' Natural numbers is
Character is who you are when no one is looking.