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irtoys (version 0.1.7)

tif: Test information function

Description

Returns the test information function (TIF) of the 3PL (1PL, 2PL) model. The TIF is the sum of the item information functions (IIF) in a test, and indicates the precision of measurement that can be achieved with the test at any value of the latent variable, bein inversely related to measurement variance.

Usage

tif(ip, x = NULL)

Arguments

ip
Item parameters: a matrix with one row per item, and three columns: [,1] item discrimination $a$, [,2] item difficulty $b$, and [,3] asymptote $c$.
x
The values of the latent variable ($\theta$ in the equation above), at which the TIF will be evaluated. If not given, 99 values spaced evenly between -4 and +4 will be used, handy for plotting.

Value

A list of:
x
A copy of the argument x
f
A vector containing the TIF values

Details

A common use of this function would be to obtain a plot of the TIF.

See Also

plot.tif, iif

Examples

Run this code
plot(trf(Scored2pl$est))

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