On this Picostat.com statistics page, you will find information about the Tucker data set which pertains to 9 Cognitive variables discussed by Tucker and Lewis (1973). The Tucker data set is found in the psych R package. You can load the Tucker data set in R by issuing the following command at the console data("Tucker"). This will load the data into a variable called Tucker. If R says the Tucker data set is not found, you can try installing the package by issuing this command install.packages("psych") and then attempt to reload the data. If you need to download R, you can go to the R project website. You can download a CSV (comma separated values) version of the Tucker R data set. The size of this file is about 530 bytes.

9 Cognitive variables discussed by Tucker and Lewis (1973)

Description

Tucker and Lewis (1973) introduced a reliability coefficient for ML factor analysis. Their example data set was previously reported by Tucker (1958) and taken from Thurstone and Thurstone (1941). The correlation matrix is a 9 x 9 for 710 subjects and has two correlated factors of ability: Word Fluency and Verbal.

Usage

data(Tucker)

Format

A data frame with 9 observations on the following 9 variables.

t42

Prefixes

t54

Suffixes

t45

Chicago Reading Test: Vocabulary

t46

Chicago Reading Test: Sentences

t23

First and last letters

t24

First letters

t27

Four letter words

t10

Completion

t51

Same or Opposite

Details

The correlation matrix from Tucker (1958) was used in Tucker and Lewis (1973) for the Tucker-Lewis Index of factoring reliability.

Source

Tucker, Ledyard (1958) An inter-battery method of factor analysis, Psychometrika, 23, 111-136.

References

L.~Tucker and C.~Lewis. (1973) A reliability coefficient for maximum likelihood factor analysis. Psychometrika, 38(1):1–10.

F.~J. Floyd and K.~F. Widaman. (1995) Factor analysis in the development and refinement of clinical assessment instruments., Psychological Assessment, 7(3):286 – 299.

Examples

data(Tucker)
fa(Tucker,2,n.obs=710)
omega(Tucker,2)

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Dataset imported from https://www.r-project.org.