mean_identified: Mean of the conditional distribution of true or observed...

In mcbeem/giftedCalcs: Psychometrics for Gifted Program Identification

Mean of the conditional distribution of true or observed scores for identified students

Description

This function calculates the expected value (mean) of the ability true score distribution for identified students.

Usage

mean_identified(
  relyt = 1,
  test.cutoff,
  valid = 1e-07,
  nom.cutoff = 1e-07,
  mu = 0
)

Arguments

relyt	Confirmatory test reliability coefficient. Range (0, 1]. Must not be exactly 0. Defaults to 1; in this case, x is assumed to be an observed score. If an alternative value is supplied for relyt, x is assumed to be a true score.
test.cutoff	Confirmatory test cutoff percentile. Range (0, 1). Must not be exactly 0 or 1.
valid	Nomination validity coefficient. Controls the relatedness of the nomination scores and the confirmatory test scores. Range (0, 1). Must not be exactly 0 or 1, and must be less than the square root of the test reliability. Defaults to 1e-7 for a single- stage identification system.
nom.cutoff	Nomination cutoff percentile. Range (0, 1). Must not be exactly 0 or 1. Defaults to 1e-7 for a single- stage identification system.
mu	Population mean true score on a standardized (z-score) metric. Defaults to zero.

Examples

# mean true score for identified students
mean_identified(
  relyt = .9, valid = .8,
  test.cutoff = .9, nom.cutoff = .5
)

# mean observed score for identified students
mean_identified(
  valid = .8, test.cutoff = .9,
  nom.cutoff = .5
)

mcbeem/giftedCalcs documentation built on Nov. 29, 2024, 3:48 a.m.