Teaching factor analysis in terms of variable space and subject space using multimedia visualization

Chong Ho Yu, Sandra Andrews, David Winogard, Angel Jannasch-Pennell, Samuel DiGangi

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

There are many common misconceptions regarding factor analysis. For example, students do not know that vectors representing latent factors rotate in subject space, rather than in variable space. Consequently, eigenvectors are misunderstood as regression lines, and data points representing variables are misperceived as data points depicting observations. The topic of subject space is omitted by many statistics textbooks, and indeed it is a very difficult concept to illustrate. An animated tutorial was developed in an attempt to alleviate this problem. Since the target audience is intermediate statistics students who are familiar with regression, regression in variable space is used as an analogy to lead learners into factor analysis in the subject space. At the end we apply the Gabriel biplot to combine the two spaces. Findings from a textbook review, a survey, and a "think aloud" protocol were taken into account during the program development and are discussed here.

Original languageEnglish (US)
JournalJournal of Statistics Education
Volume10
Issue number1
StatePublished - Mar 2002

Fingerprint

teaching analysis
Factor Analysis
visualization
multimedia
Multimedia
factor analysis
Visualization
regression
textbook
statistics
student
Regression
Biplot
Statistics
Regression line
Misconceptions
Eigenvector
Analogy
Teaching
Factor analysis

Keywords

  • Biplot
  • Eigenvector
  • Hypermedia
  • Vector space

ASJC Scopus subject areas

  • Statistics and Probability
  • Education

Cite this

Teaching factor analysis in terms of variable space and subject space using multimedia visualization. / Yu, Chong Ho; Andrews, Sandra; Winogard, David; Jannasch-Pennell, Angel; DiGangi, Samuel.

In: Journal of Statistics Education, Vol. 10, No. 1, 03.2002.

Research output: Contribution to journalArticle

Yu, Chong Ho ; Andrews, Sandra ; Winogard, David ; Jannasch-Pennell, Angel ; DiGangi, Samuel. / Teaching factor analysis in terms of variable space and subject space using multimedia visualization. In: Journal of Statistics Education. 2002 ; Vol. 10, No. 1.
@article{2aebd39fa93b416bb5f593c845090ace,
title = "Teaching factor analysis in terms of variable space and subject space using multimedia visualization",
abstract = "There are many common misconceptions regarding factor analysis. For example, students do not know that vectors representing latent factors rotate in subject space, rather than in variable space. Consequently, eigenvectors are misunderstood as regression lines, and data points representing variables are misperceived as data points depicting observations. The topic of subject space is omitted by many statistics textbooks, and indeed it is a very difficult concept to illustrate. An animated tutorial was developed in an attempt to alleviate this problem. Since the target audience is intermediate statistics students who are familiar with regression, regression in variable space is used as an analogy to lead learners into factor analysis in the subject space. At the end we apply the Gabriel biplot to combine the two spaces. Findings from a textbook review, a survey, and a {"}think aloud{"} protocol were taken into account during the program development and are discussed here.",
keywords = "Biplot, Eigenvector, Hypermedia, Vector space",
author = "Yu, {Chong Ho} and Sandra Andrews and David Winogard and Angel Jannasch-Pennell and Samuel DiGangi",
year = "2002",
month = "3",
language = "English (US)",
volume = "10",
journal = "Journal of Statistics Education",
issn = "1069-1898",
publisher = "American Statistical Association",
number = "1",

}

TY - JOUR

T1 - Teaching factor analysis in terms of variable space and subject space using multimedia visualization

AU - Yu, Chong Ho

AU - Andrews, Sandra

AU - Winogard, David

AU - Jannasch-Pennell, Angel

AU - DiGangi, Samuel

PY - 2002/3

Y1 - 2002/3

N2 - There are many common misconceptions regarding factor analysis. For example, students do not know that vectors representing latent factors rotate in subject space, rather than in variable space. Consequently, eigenvectors are misunderstood as regression lines, and data points representing variables are misperceived as data points depicting observations. The topic of subject space is omitted by many statistics textbooks, and indeed it is a very difficult concept to illustrate. An animated tutorial was developed in an attempt to alleviate this problem. Since the target audience is intermediate statistics students who are familiar with regression, regression in variable space is used as an analogy to lead learners into factor analysis in the subject space. At the end we apply the Gabriel biplot to combine the two spaces. Findings from a textbook review, a survey, and a "think aloud" protocol were taken into account during the program development and are discussed here.

AB - There are many common misconceptions regarding factor analysis. For example, students do not know that vectors representing latent factors rotate in subject space, rather than in variable space. Consequently, eigenvectors are misunderstood as regression lines, and data points representing variables are misperceived as data points depicting observations. The topic of subject space is omitted by many statistics textbooks, and indeed it is a very difficult concept to illustrate. An animated tutorial was developed in an attempt to alleviate this problem. Since the target audience is intermediate statistics students who are familiar with regression, regression in variable space is used as an analogy to lead learners into factor analysis in the subject space. At the end we apply the Gabriel biplot to combine the two spaces. Findings from a textbook review, a survey, and a "think aloud" protocol were taken into account during the program development and are discussed here.

KW - Biplot

KW - Eigenvector

KW - Hypermedia

KW - Vector space

UR - http://www.scopus.com/inward/record.url?scp=3042822099&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3042822099&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:3042822099

VL - 10

JO - Journal of Statistics Education

JF - Journal of Statistics Education

SN - 1069-1898

IS - 1

ER -