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Conduct Web experiments using PHP, Part 2

By Paul Meagher
2005-03-18


Discrete probability distributions

In CDA, three discrete probability distributions are commonly used in sampling models. Table 3 lists probability distributions along with other basic information about them.

Table 3. Commonly used discrete probability distributions
DistributionParametersProbability Density FunctionMeanVariance
Binomialn, pP(x | n, p) = n! / ((n-x)! x!) pn (1 - p)n-xnpnp(1 - p)
PoissonlambdaP(x | lambda) = ( lambdax e ) / x! lambdalambda
Multinomialn, p1, .., pnP(x1,.., xn | n, p1,.., pn) = ( n! / x1! .. xn! ) p1x1 .. pnxnnpinpi(1 - pi)


Tutorial Pages:
» Categorical data analysis
» 2x2 contingency tables
» Sampling model
» Discrete probability distributions
» Binomial sampling model
» Poisson sampling model
» Envisioning your results
» Eliciting your prior distribution
» Model fitting with chi-square
» Null effects model
» Independence model
» Prior model
» DOE explorer
» Explorer output
» Conclusions
» Resources


First published by IBM developerWorks


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