betafunctions (version 1.9.0)

HB.tsm: Proportional True-Score Distribution Raw Moments for the Hanson-Brennan Approach to Classification Accuracy and Consistency.

Description

An implementation of Lords (1965, p. 265) equation 37 for estimating the raw moments of the true-score distribution.

Usage

HB.tsm(x, r, N, k)

Arguments

x

Vector of values representing sum-scores.

r

The number of raw moments to be calculated.

N

The number of test items (i.e., test length).

k

Lord's k (see documentation for the Lords.k() function.

Examples

# Generate some data under the Beta Compound-Binomial distribution, where the
# Compound Binomial distribution has 100 trials and Lord's k = 2, and the
# Beta distribution has location parameters l = .15 and u = .85, and shape
# parameters alpha = 6 and beta = 4:
obs <- rBetacBinom(1000, 100, 2, .15, .85, 6, 4)

# To estimate the first four raw moments of the underlying Beta distribution:
HB.tsm(x = obs, r = 4, N = 100, k = 2)