Cauchy_ID: Cauchy Prior Distribution Identifier
In rnorouzian/BayesianforL2: Introduction to Bayesian Thinking for L2 Researchers

Description Usage Arguments Details Value Author(s) Examples

Uses the subject matter researchers knowledge to generate a corresponding Cauchy prior distribution.

1	Cauchy_ID(Low, High, Cover = NULL)

`Low`	researcher's LOWEST plausible value for the parameter.
`High`	researcher's HIGHEST plausible value for the parameter.
`Cover`	researcher's suggested coverage for the Low and High values provided.

Uses optimization techniques to provide graphical and textual information about an appropriate Cauchy prior distribution.

Provides graphical as well as full textual description of a suitable Cauchy distribution for researcers based on their knowledge about how High or Low the parameter has been found in the literature. Also, helps researcher to revise their prior by issuing various messages.

Reza Norouzian <rnorouzian@gmail.com>

# Suppose a researcher needs a Cauchy prior for a Cohen d effect size that in
# his/her view can't be less than -6 and more than +6. The researcher believes
# these two limit values cover 90% of all possible values that this parameter
# can take:


 Cauchy_ID (Low = -6, High = 6, Cover = '90%')



# User can also use any value that is between 0 and 1 for the argument
# cover without using percentage sign:



Cauchy_ID (Low = -6, High = 6, Cover = 90)