binom_param: Binomial Parameters

In exams.forge: Support for Compiling Examination Tasks using the 'exams' Package

Binomial Parameters

Description

Generates a data frame with potential values for size and prob, and is subjected to specific conditions:

• If length(mean) == 1 and it's an integer, it signifies the desired number of digits for the mean.

• If mean is set to NA (the default), all means are permissible.

• When length(mean) > 1, the product size * prob must be one of the valid means.

• The same rules applies to sd.

The parameters norm and pois can take on values of NA, TRUE, FALSE, or be defined as a function in the format: ⁠function(size, prob)⁠. These values determine which ⁠(size, prob)⁠ combinations are eligible:

• For NA, all combinations of ⁠(size, prob)⁠ are acceptable.

• If specified as a function, only those combinations for which the function returns TRUE are considered valid.

• If set to TRUE, combinations are accepted only if they satisfy either the condition size * prob * (1 - prob) > 9 (for norm, indicating a normal distribution approximation), or the conditions prob < 0.05 and n > 10 (for pois, implying a Poisson distribution approximation).

• If set to FALSE, the approximations should not hold for any combination.

Please be aware that there is no guarantee that the resulting data frame will include a valid solution.

Usage

binom_param(n, p, mean = NA, sd = NA, norm = NA, pois = NA, tol = 1e-06)

Arguments

n	integer: vector number of observations
p	numeric: vector of probabilities
mean	integer or numeric: number of digits the mean should have
sd	integer or numeric: number of digits the standard deviation should have
norm	logical or function: normal approximation possible
pois	logical or function: poisson approximation possible
tol	numeric: the tolerance for numerical comparison (default: '1e-6)

Value

a data frame with possible choices of n , p, mean and sd

Examples

binom_param(1000:50000, (5:25)/100, 0, 0)

exams.forge documentation built on Sept. 11, 2024, 5:32 p.m.