NotesFAQContact Us
Collection
Advanced
Search Tips
Back to results
Peer reviewed Peer reviewed
PDF on ERIC Download full text
ERIC Number: ED562562
Record Type: Non-Journal
Publication Date: 2015-May
Pages: 11
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-2330-443X
EISSN: N/A
Available Date: N/A
Alternative Statistical Frameworks for Student Growth Percentile Estimation
Lockwood, J. R.; Castellano, Katherine E.
Grantee Submission, Statistics and Public Policy v2 n1 p1-10 May 2015
This article suggests two alternative statistical approaches for estimating student growth percentiles (SGP). The first is to estimate percentile ranks of current test scores conditional on past test scores directly, by modeling the conditional cumulative distribution functions, rather than indirectly through quantile regressions. This would remove the need for post hoc procedures required to ensure monotonicity of the estimated quantile functions, and for inversion of those functions to obtain SGP. We provide a brief empirical example demonstrating this approach and its potential benefits for handling discreteness of the observed test scores. The second suggestion is to estimate SGP directly from longitudinal item-level data, using multidimensional item response theory models, rather than from test scale scores. This leads to an isomorphism between using item-level data from one test to make inferences about latent student achievement, and using item-level data from multiple tests administered over time to make inferences about latent SGP. This framework can be used to solve the bias problems for current SGP methods caused by measurement error in both the current and past test scores, and provides straightforward assessments of uncertainty in SGP. We note practical problems that need to be addressed to implement our suggestions.
Publication Type: Journal Articles; Reports - Research
Education Level: Grade 7; Junior High Schools; Middle Schools; Elementary Education; Secondary Education
Audience: N/A
Language: English
Sponsor: Institute of Education Sciences (ED)
Authoring Institution: N/A
IES Funded: Yes
Grant or Contract Numbers: R305D140032
Author Affiliations: N/A