Overview (BAYES ONESAMPLE: Binomial command)

BAYES ONESAMPLE: Binomial invokes the one-sample inference procedure. The procedure provides options for executing Bayesian one-sample inference on Binomial distribution. The parameter of interest is π, which denotes the probability of success in a fixed number of trials that may lead to either success or failure. Note that each trial is independent of each other, and the probability π remains the same in each trial. A binomial random variable can be seen as the sum of a fixed number of independent Bernoulli trials.

Although it is not necessary, a prior from the Beta distribution family is normally chosen when estimating a binomial parameter. The Beta family is conjugate for the binomial family, and as such leads to the posterior distribution with a closed form still in the Beta distribution family.

Options

Missing values

You can specify the method in which to control missing values (exclude cases pairwise or listwise).

Credible interval percentage

You can specify the significance level for computing credible intervals.

Bayesian analysis method

You can specify POSTERIOR, BAYESFACTOR, or BOTH.

Recode data

You can specify the recode data and set parameters for the estimation of Bayes factors.

Prior distribution settings

You can specify the prior distribution for the variance parameter.

Subcommand order

• The subcommands can be named in any order.

Syntax rules

• PRECDIST and VARDIST are mutually exclusive.
• The /DATA sublist must be a subset of VARIABLES.

Limitations

• PRECDIST and VARDIST are mutually exclusive.