On this R-data statistics page, you will find information about the ability data set which pertains to 16 ability items scored as correct or incorrect.. The ability data set is found in the psych R package. You can load the ability data set in R by issuing the following command at the console data("ability"). This will load the data into a variable called ability. If R says the ability 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 ability R data set. The size of this file is about 50,129 bytes.

16 ability items scored as correct or incorrect.

Description

16 multiple choice ability items 1525 subjects taken from the Synthetic Aperture Personality Assessment (SAPA) web based personality assessment project are saved as iqitems. Those data are shown as examples of how to score multiple choice tests and analyses of response alternatives. When scored correct or incorrect, the data are useful for demonstrations of tetrachoric based factor analysis irt.fa and finding tetrachoric correlations.

Usage

data(iqitems)

Format

A data frame with 1525 observations on the following 16 variables. The number following the name is the item number from SAPA.

reason.4

Basic reasoning questions

reason.16

Basic reasoning question

reason.17

Basic reasoning question

reason.19

Basic reasoning question

letter.7

In the following alphanumeric series, what letter comes next?

letter.33

In the following alphanumeric series, what letter comes next?

letter.34

In the following alphanumeric series, what letter comes next

letter.58

In the following alphanumeric series, what letter comes next?

matrix.45

A matrix reasoning task

matrix.46

A matrix reasoning task

matrix.47

A matrix reasoning task

matrix.55

A matrix reasoning task

rotate.3

Spatial Rotation of type 1.2

rotate.4

Spatial Rotation of type 1.2

rotate.6

Spatial Rotation of type 1.1

rotate.8

Spatial Rotation of type 2.3

Details

16 items were sampled from 80 items given as part of the SAPA (http://sapa-project.org) project (Revelle, Wilt and Rosenthal, 2009; Condon and Revelle, 2014) to develop online measures of ability. These 16 items reflect four lower order factors (verbal reasoning, letter series, matrix reasoning, and spatial rotations. These lower level factors all share a higher level factor ('g').

This data set may be used to demonstrate item response functions, tetrachoric correlations, or irt.fa as well as omega estimates of of reliability and hierarchical structure.

In addition, the data set is a good example of doing item analysis to examine the empirical response probabilities of each item alternative as a function of the underlying latent trait. When doing this, it appears that two of the matrix reasoning problems do not have monotonically increasing trace lines for the probability correct. At moderately high ability (theta = 1) there is a decrease in the probability correct from theta = 0 and theta = 2.

Source

The example data set is taken from the Synthetic Aperture Personality Assessment personality and ability test at http://sapa-project.org. The data were collected with David Condon from 8/08/12 to 8/31/12.

References

Revelle, William, Wilt, Joshua, and Rosenthal, Allen (2010) Personality and Cognition: The Personality-Cognition Link. In Gruszka, Alexandra and Matthews, Gerald and Szymura, Blazej (Eds.) Handbook of Individual Differences in Cognition: Attention, Memory and Executive Control, Springer.

Condon, David and Revelle, William, (2014) The International Cognitive Ability Resource: Development and initial validation of a public-domain measure. Intelligence, 43, 52-64.

Examples

data(ability)
#not run
# ability.irt <- irt.fa(ability)
# ability.scores <- score.irt(ability.irt,ability)

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