data.si: Some Example Datasets for the 'sirt' Package
In sirt: Supplementary Item Response Theory Models

data.sirt

R Documentation

Some Example Datasets for the `sirt` Package

Description

Some example datasets for the sirt package.

Usage

data(data.si01)
data(data.si02)
data(data.si03)
data(data.si04)
data(data.si05)
data(data.si06)
data(data.si07)
data(data.si08)
data(data.si09)
data(data.si10)

Format

The format of the dataset data.si01 is:

'data.frame': 1857 obs. of 3 variables:
$ idgroup: int 1 1 1 1 1 1 1 1 1 1 ...
$ item1 : int NA NA NA NA NA NA NA NA NA NA ...
$ item2 : int 4 4 4 4 4 4 4 2 4 4 ...
The dataset data.si02 is the Stouffer-Toby-dataset published in Lindsay, Clogg and Grego (1991; Table 1, p.97, Cross-classification A):

List of 2
$ data : num [1:16, 1:4] 1 0 1 0 1 0 1 0 1 0 ...
..- attr(*, "dimnames")=List of 2
.. ..$ : NULL
.. ..$ : chr [1:4] "I1" "I2" "I3" "I4"
$ weights: num [1:16] 42 1 6 2 6 1 7 2 23 4 ...
The format of the dataset data.si03 (containing item parameters of two studies) is:

'data.frame': 27 obs. of 3 variables:
$ item : Factor w/ 27 levels "M1","M10","M11",..: 1 12 21 22 ...
$ b_study1: num 0.297 1.163 0.151 -0.855 -1.653 ...
$ b_study2: num 0.72 1.118 0.351 -0.861 -1.593 ...
The dataset data.si04 is adapted from Bartolucci, Montanari and Pandolfi (2012; Table 4, Table 7). The data contains 4999 persons, 79 items on 5 dimensions. See rasch.mirtlc for using the data in an analysis.

List of 3
$ data : num [1:4999, 1:79] 0 1 1 0 1 1 0 0 1 1 ...
..- attr(*, "dimnames")=List of 2
.. ..$ : NULL
.. ..$ : chr [1:79] "A01" "A02" "A03" "A04" ...
$ itempars :'data.frame': 79 obs. of 4 variables:
..$ item : Factor w/ 79 levels "A01","A02","A03",..: 1 2 3 4 5 6 7 8 9 10 ...
..$ dim : num [1:79] 1 1 1 1 1 1 1 1 1 1 ...
..$ gamma : num [1:79] 1 1 1 1 1 1 1 1 1 1 ...
..$ gamma.beta: num [1:79] -0.189 0.25 0.758 1.695 1.022 ...
$ distribution: num [1:9, 1:7] 1 2 3 4 5 ...
..- attr(*, "dimnames")=List of 2
.. ..$ : NULL
.. ..$ : chr [1:7] "class" "A" "B" "C" ...
The dataset data.si05 contains double ratings of two exchangeable raters for three items which are in Ex1, Ex2 and Ex3, respectively.

List of 3
$ Ex1:'data.frame': 199 obs. of 2 variables:
..$ C7040: num [1:199] NA 1 0 1 1 0 0 0 1 0 ...
..$ C7041: num [1:199] 1 1 0 0 0 0 0 0 1 0 ...
$ Ex2:'data.frame': 2000 obs. of 2 variables:
..$ rater1: num [1:2000] 2 0 3 1 2 2 0 0 0 0 ...
..$ rater2: num [1:2000] 4 1 3 2 1 0 0 0 0 2 ...
$ Ex3:'data.frame': 2000 obs. of 2 variables:
..$ rater1: num [1:2000] 5 1 6 2 3 3 0 0 0 0 ...
..$ rater2: num [1:2000] 7 2 6 3 2 1 0 1 0 3 ...
The dataset data.si06 contains multiple choice item responses. The correct alternative is denoted as 0, distractors are indicated by the codes 1, 2 or 3.

'data.frame': 4441 obs. of 14 variables:
$ WV01: num 0 0 0 0 0 0 0 0 0 3 ...
$ WV02: num 0 0 0 3 0 0 0 0 0 1 ...
$ WV03: num 0 1 0 0 0 0 0 0 0 0 ...
$ WV04: num 0 0 0 0 0 0 0 0 0 1 ...
$ WV05: num 3 1 1 1 0 0 1 1 0 2 ...
$ WV06: num 0 1 3 0 0 0 2 0 0 1 ...
$ WV07: num 0 0 0 0 0 0 0 0 0 0 ...
$ WV08: num 0 1 1 0 0 0 0 0 0 0 ...
$ WV09: num 0 0 0 0 0 0 0 0 0 2 ...
$ WV10: num 1 1 3 0 0 2 0 0 0 0 ...
$ WV11: num 0 0 0 0 0 0 0 0 0 0 ...
$ WV12: num 0 0 0 2 0 0 2 0 0 0 ...
$ WV13: num 3 1 1 3 0 0 3 0 0 0 ...
$ WV14: num 3 1 2 3 0 3 1 3 3 0 ...
The dataset data.si07 contains parameters of the empirical illustration of DeCarlo (2020). The simulation function sim_fun can be used for simulating data from the IRSDT model (see DeCarlo, 2020)

List of 3
$ pars :'data.frame': 16 obs. of 3 variables:
..$ item: Factor w/ 16 levels "I01","I02","I03",..: 1 2 3 4 5 6 7 8 9 10 ...
..$ b : num [1:16] -1.1 -0.18 1.44 1.78 -1.19 0.45 -1.12 0.33 0.82 -0.43 ...
..$ d : num [1:16] 2.69 4.6 6.1 3.11 3.2 ...
$ trait :'data.frame': 20 obs. of 2 variables:
..$ x : num [1:20] 0.025 0.075 0.125 0.175 0.225 0.275 0.325 0.375 0.425 0.475 ...
..$ prob: num [1:20] 0.0238 0.1267 0.105 0.0594 0.0548 ...
$ sim_fun:function (lambda, b, d, items)
The dataset data.si08 contains 5 items with respect to knowledge about lung cancer and the kind of information acquisition (Goodman, 1970; see also Rasch, Kubinger & Yanagida, 2011). L1: reading newspapers, L2: listening radio, L3: reading books and magazines, L4: attending talks, L5: knowledge about lung cancer

'data.frame': 32 obs. of 6 variables:
$ L1 : num 1 1 1 1 1 1 1 1 1 1 ...
$ L2 : num 1 1 1 1 1 1 1 1 0 0 ...
$ L3 : num 1 1 1 1 0 0 0 0 1 1 ...
$ L4 : num 1 1 0 0 1 1 0 0 1 1 ...
$ L5 : num 1 0 1 0 1 0 1 0 1 0 ...
$ wgt: num 23 8 102 67 8 4 35 59 27 18 ...
The dataset data.si09 was used in Fischer and Karl (2019) and they asked employees in a eight countries, to report whether they typically help other employees (helping behavior, seven items, help) and whether they make suggestions to improve work conditions and products (voice behavior, five items, voice). Individuals responded to these items on a 1-7 Likert-type scale. The dataset was downloaded from https://osf.io/wkx8c/.

'data.frame': 5201 obs. of 13 variables:
$ country: Factor w/ 8 levels "BRA","CAN","KEN",..: 5 5 5 5 5 5 5 5 5 5 ...
$ help1 : int 6 6 5 5 5 6 6 6 4 6 ...
$ help2 : int 3 6 5 6 6 6 6 6 6 7 ...
$ help3 : int 5 6 6 7 7 6 5 6 6 7 ...
$ help4 : int 7 6 5 6 6 7 7 6 6 7 ...
$ help5 : int 5 5 5 6 6 6 6 6 6 7 ...
$ help6 : int 3 4 5 6 6 7 7 6 6 5 ...
$ help7 : int 5 4 4 5 5 7 7 6 6 6 ...
$ voice1 : int 3 6 5 6 4 7 6 6 5 7 ...
$ voice2 : int 3 6 4 7 6 5 6 6 4 7 ...
$ voice3 : int 6 6 5 7 6 5 6 6 6 5 ...
$ voice4 : int 6 6 6 5 5 7 5 6 6 6 ...
$ voice5 : int 6 7 4 7 6 6 6 6 5 7 ...
The dataset data.si10 contains votes of 435 members of the U.S. House of Representatives, 267 Democrates and 168 Republicans. The dataset was used by Fop and Murphy (2017).

'data.frame': 435 obs. of 17 variables:
$ party : Factor w/ 2 levels "democrat","republican": 2 2 1 1 1 1 1 2 2 1 ...
$ vote01: num 0 0 NA 0 1 0 0 0 0 1 ...
$ vote02: num 1 1 1 1 1 1 1 1 1 1 ...
$ vote03: num 0 0 1 1 1 1 0 0 0 1 ...
$ vote04: num 1 1 NA 0 0 0 1 1 1 0 ...
$ vote05: num 1 1 1 NA 1 1 1 1 1 0 ...
$ vote06: num 1 1 1 1 1 1 1 1 1 0 ...
$ vote07: num 0 0 0 0 0 0 0 0 0 1 ...
$ vote08: num 0 0 0 0 0 0 0 0 0 1 ...
$ vote09: num 0 0 0 0 0 0 0 0 0 1 ...
$ vote10: num 1 0 0 0 0 0 0 0 0 0 ...
$ vote11: num NA 0 1 1 1 0 0 0 0 0 ...
$ vote12: num 1 1 0 0 NA 0 0 0 1 0 ...
$ vote13: num 1 1 1 1 1 1 NA 1 1 0 ...
$ vote14: num 1 1 1 0 1 1 1 1 1 0 ...
$ vote15: num 0 0 0 0 1 1 1 NA 0 NA ...
$ vote16: num 1 NA 0 1 1 1 1 1 1 NA ...

References

Bartolucci, F., Montanari, G. E., & Pandolfi, S. (2012). Dimensionality of the latent structure and item selection via latent class multidimensional IRT models. Psychometrika, 77(4), 782-802. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1007/s11336-012-9278-0")}

DeCarlo, L. T. (2020). An item response model for true-false exams based on signal detection theory. Applied Psychological Measurement, 34(3). 234-248. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1177/0146621619843823")}

Fischer, R., & Karl, J. A. (2019). A primer to (cross-cultural) multi-group invariance testing possibilities in R. Frontiers in Psychology | Cultural Psychology, 10:1507. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.3389/fpsyg.2019.01507")}

Fop, M., & Murphy, T. B. (2018). Variable selection methods for model-based clustering. Statistics Surveys, 12, 18-65. https://doi.org/10.1214/18-SS119

Goodman, L. A. (1970). The multivariate analysis of qualitative data: Interactions among multiple classifications. Journal of the American Statistical Association, 65(329), 226-256. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1080/01621459.1970.10481076")}

Lindsay, B., Clogg, C. C., & Grego, J. (1991). Semiparametric estimation in the Rasch model and related exponential response models, including a simple latent class model for item analysis. Journal of the American Statistical Association, 86(413), 96-107. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1080/01621459.1991.10475008")}

Rasch, D., Kubinger, K. D., & Yanagida, T. (2011). Statistics in psychology using R and SPSS. New York: Wiley. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1002/9781119979630")}

Examples

## Not run: 
#############################################################################
# EXAMPLE 1: Nested logit model multiple choice dataset data.si06
#############################################################################

data(data.si06, package="sirt")
dat <- data.si06

#** estimate 2PL nested logit model
library(mirt)
mod1 <- mirt::mirt( dat, model=1, itemtype="2PLNRM", key=rep(0,ncol(dat) ),
            verbose=TRUE  )
summary(mod1)
cmod1 <- sirt::mirt.wrapper.coef(mod1)$coef
cmod1[,-1] <- round( cmod1[,-1], 3)

#** normalize item parameters according Suh and Bolt (2010)
cmod2 <- cmod1

# slope parameters
ind <-  grep("ak",colnames(cmod2))
h1 <- cmod2[,ind ]
cmod2[,ind] <- t( apply( h1, 1, FUN=function(ll){ ll - mean(ll) } ) )
# item intercepts
ind <-  paste0( "d", 0:9 )
ind <- which( colnames(cmod2) %in% ind )
h1 <- cmod2[,ind ]
cmod2[,ind] <- t( apply( h1, 1, FUN=function(ll){ ll - mean(ll) } ) )
cmod2[,-1] <- round( cmod2[,-1], 3)

#############################################################################
# EXAMPLE 2: Item response modle based on signal detection theory (IRSDT model)
#############################################################################

data(data.si07, package="sirt")
data <- data.si07

#-- simulate data
set.seed(98)
N <- 2000 # define sample size
# generate membership scores
lambda <- sample(size=N, x=data$trait$x, prob=data$trait$prob, replace=TRUE)
b <- data$pars$b
d <- data$pars$d
items <- data$pars$item
dat <- data$sim_fun(lambda=lambda, b=b, d=d, items=items)

#- estimate IRSDT model as a grade of membership model with two classes
problevels <- seq( 0.025, 0.975, length=20 )
mod1 <- sirt::gom.em( dat, K=2, problevels=problevels )
summary(mod1)

## End(Not run)

sirt documentation built on May 29, 2024, 8:43 a.m.