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CoinMinD (version 1.2.1)

GM: GM: Goodman Method for Simultaneous Confidence Intervals

Description

Computes simultaneous confidence intervals for multinomial proportions using the Goodman (1965) method. The function calculates lower and upper confidence limits for each category, adjusts them to remain within the [0, 1] range, and computes the overall interval volume (the product of interval widths).

Usage

GM(inpmat, alpha)

Value

Prints the original and adjusted confidence intervals for each category, as well as the overall volume of the simultaneous confidence intervals.

Arguments

inpmat

Integer vector of observed cell counts corresponding to a categorical dataset. Must contain non-negative values.

alpha

Desired statistical significance level

Author

Dr. M. Subbiah

Details

This function implements the simultaneous confidence interval method proposed by Goodman (1965) for multinomial proportions. It adjusts each interval to ensure the limits fall within the valid probability range.

References

Goodman, L. A. (1965). *On Simultaneous Confidence Intervals for Multinomial Proportions.* Technometrics, **7**, 247–254.

See Also

BMDE, WALD, WS

Examples

Run this code
y <- c(44, 55, 43, 32, 67, 78)
z <- 0.05
GM(y, z)

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