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binest

Estimation of group-level means and standard deviations from binned (coarsened) count data. The package implements three methods with a common output structure:

• bin_means() — fast per-group estimator under within-group normality. Linear in the number of groups times the number of bins.
• mle_hetop() — maximum-likelihood fit of the heteroskedastic ordered probit (HETOP) model.
• fh_hetop() — Bayesian variant of HETOP via MCMC.

This package was previously called HETOP and was maintained by J. R. Lockwood; it is renamed and extended to reflect the broader set of estimators now included.

Installation

# install.packages("remotes")
remotes::install_github("paulvonhippel/binest")

(Or install.packages("binest") once on CRAN.)

A quick example

library(binest)
data(tx_g6_math_2018)

ngk <- with(tx_g6_math_2018,
            cbind(unsatisfactory, approaches, meets, masters))
cuts <- c(1536, 1653, 1772)

fit <- bin_means(ngk, cutpoints = cuts)
cor(fit$est_raw$group_mean_mle, tx_g6_math_2018$reported_mean)

See vignette("binest") for a full comparison of the three estimators on the Texas STAAR Grade-6 mathematics data.

References

• Fisher, R. A. (1922). On the mathematical foundations of theoretical statistics. Philosophical Transactions of the Royal Society of London A, 222, 309-368.
• Lockwood, J. R., Castellano, K. E., & Shear, B. R. (2018). Flexible Bayesian models for inferences from coarsened, group-level achievement data. JEBS, 43(6), 663-692.
• Reardon, S. F., Shear, B. R., Castellano, K. E., & Ho, A. D. (2017). Using heteroskedastic ordered probit models to recover moments of continuous test score distributions from coarsened data. JEBS, 42(1), 3-45.
• Sheppard, W. F. (1898). On the calculation of the most probable values of frequency-constants for data arranged according to equidistant divisions of a scale. PLMS, 29, 353-380.

License

GPL (>= 2).

These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.
Health stats visible at Monitor.