hkr.sePublikasjoner
Endre søk
RefereraExporteraLink to record
Permanent link

Direct link
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annet format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annet språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf
Testing rating scale unidimensionality using the Principal Component Analysis (PCA)/t-test protocol with the Rasch Model: the primacy of theory over statistics
Högskolan Kristianstad, Sektionen för hälsa och samhälle, Avdelningen för Hälsovetenskap I. Högskolan Kristianstad, Forskningsmiljön PRO-CARE. Högskolan Kristianstad, Forskningsplattformen Hälsa i samverkan.ORCID-id: 0000-0003-2174-372X
2014 (engelsk)Inngår i: Open Journal of Statistics, ISSN 2161-718X, E-ISSN 2161-7198, Vol. 4, nr 6, s. 456-465Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

Psychometric theory requires unidimensionality (i.e., scale items should represent a common latent variable). One advocated approach to test unidimensionality within the Rasch model is to identify two item sets from a Principal Component Analysis (PCA) of residuals, estimate separate person measures based on the two item sets, compare the two estimates on a person-by-person basis using t-tests and determine the number of cases that differ significantly at the 0.05-level; if ≤5% of tests are significant, or the lower bound of a binomial 95% confidence interval (CI) of the observed proportion overlaps 5%, then it is suggested that strict unidimensionality can be inferred; otherwise the scale is multidimensional. Given its proposed significance and potential implications, this procedure needs detailed scrutiny. This paper explores the impact of sample size and method of estimating the 95% binomial CI upon conclusions according to recommended conventions. Normal approximation, “exact”, Wilson, Agresti-Coull, and Jeffreys binomial CIs were calculated for observed proportions of 0.06, 0.08 and 0.10 and sample sizes from n= 100 to n= 2500. Lower 95%CI boundaries were inspected regarding coverage of the 5% threshold. Results showed that all binomial 95% CIs included as well as excluded 5% as an effect of sample size for all three investigated proportions, except for the Wilson, Agresti-Coull, and JeffreysCIs, which did not include 5% for any sample size with a 10% observed proportion. The normal approximation CI was most sensitive to sample size. These data illustrate that the PCA/t-test protocol should be used and interpreted as any hypothesis testing procedure and is dependent on sample size as well as binomial CI estimation procedure. The PCA/t-test protocol should not be viewed as a “definite” test of unidimensionality and does not replace an integrated quantitative/qualitative interpretation based on an explicit variable definition in view of the perspective, context and purpose of measurement.

sted, utgiver, år, opplag, sider
2014. Vol. 4, nr 6, s. 456-465
Emneord [en]
Confidence Intervals, Dimensionality, Psychometrics, Rasch Model, Validity
HSV kategori
Identifikatorer
URN: urn:nbn:se:hkr:diva-12826DOI: 10.4236/ojs.2014.46044OAI: oai:DiVA.org:hkr-12826DiVA, id: diva2:743817
Tilgjengelig fra: 2014-09-05 Laget: 2014-09-05 Sist oppdatert: 2017-12-05bibliografisk kontrollert

Open Access i DiVA

fulltext(2648 kB)308 nedlastinger
Filinformasjon
Fil FULLTEXT01.pdfFilstørrelse 2648 kBChecksum SHA-512
0c1700cd54114c22a0db62880918ee6e89ac3336ffbe56374f123e4e86112176b6762b0c7cca26cd2555c0fcbbcd853b4a275bcc2c651cc0744c3335dbe53702
Type fulltextMimetype application/pdf

Andre lenker

Forlagets fulltekst

Personposter BETA

Hagell, Peter

Søk i DiVA

Av forfatter/redaktør
Hagell, Peter
Av organisasjonen
I samme tidsskrift
Open Journal of Statistics

Søk utenfor DiVA

GoogleGoogle Scholar
Totalt: 308 nedlastinger
Antall nedlastinger er summen av alle nedlastinger av alle fulltekster. Det kan for eksempel være tidligere versjoner som er ikke lenger tilgjengelige

doi
urn-nbn

Altmetric

doi
urn-nbn
Totalt: 556 treff
RefereraExporteraLink to record
Permanent link

Direct link
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annet format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annet språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf