NotesFAQContact Us
Search Tips
Peer reviewed Peer reviewed
PDF on ERIC Download full text
ERIC Number: EJ1162438
Record Type: Journal
Publication Date: 2017-Nov
Pages: 22
Abstractor: As Provided
ISSN: EISSN-1570-1824
Modeling Signal-Noise Processes Supports Student Construction of a Hierarchical Image of Sample
Lehrer, Richard
Statistics Education Research Journal, v16 n2 p64-85 Nov 2017
Grade 6 (modal age 11) students invented and revised models of the variability generated as each measured the perimeter of a table in their classroom. To construct models, students represented variability as a linear composite of true measure (signal) and multiple sources of random error. Students revised models by developing sampling distributions of model-generated statistics to judge model fit and validity. After instruction, interviews with 12 students were conducted to learn how they conceived of relations among chance, modeling, and inference. Most students' inferences were guided by a hierarchical image of sample, a perspective constituted through their understandings of modeling variability as signal and noise.
International Association for Statistics Education and the International Statistical Institute. PO Box 24070, 2490 AB The Hague, The Netherlands. Tel: +31-70-3375737; Fax: +31-70-3860025; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Research
Education Level: Grade 6
Audience: N/A
Language: English
Sponsor: Institute of Education Sciences (ED)
Authoring Institution: N/A
IES Funded: Yes
Grant or Contract Numbers: R305A110685; R305A120217