Crucial post-estimation (goodness-of-fit) tests for some widely used categorical response models (CRM) are implemented in this package. It currently supports inputs from objects of class serp(), clm(), polr(), multinom(), mlogit(), vglm() and glm(). Available tests include the Hosmer-Lemeshow tests for the binary, multinomial and ordinal logistic regression; the Lipsitz and the Pulkstenis-Robinson tests for the ordinal models. The proportional odds, adjacent-category, and constrained continuation-ratio models are particularly supported at ordinal level. Tests for the proportional odds assumptions in ordinal models are also possible with the Brant and the Likelihood-Ratio tests. Moreover, several summary measures of predictive strength (Pseudo R-squared), and some useful error metrics, including, the brier score, misclassification rate and logloss are also available for the binary, multinomial and ordinal models.

```
require(serp)
set.seed(1)
<- 200
n <- data.frame(y = ordered(rbinom(n,2,0.5)), x1 = factor(rbinom(n,2,0.7)), x2 = runif(n))
dt <- serp(y ~ x1 + x2, slope="parallel", link = "logit", reverse= TRUE, data = dt) sp
```

```
## Goodness-of-fit
# Hosmer-Lemeshow test
hosmerlem(sp, tables = TRUE)
hosmerlem(sp, tables = TRUE, customFreq = rep(20,10))
# Lipsitz test
lipsitz(sp)
lipsitz(sp, customFreq = rep(20, 10))
# Pulkstenis-Robinson test
pulkroben(sp, test = "chisq", tables = TRUE)
pulkroben(sp, test = "deviance", tables = TRUE)
```

```
## Proportional odds test
brant.test(sp)
brant.test(sp, global = TRUE, call = TRUE)
LR.test(sp, call = TRUE)
```

```
## Error metrics
erroR(sp, type = "brier")
erroR(sp, type = "logloss")
erroR(sp, type = "misclass")
# with dataframe and custom threshold
<- data.frame(y, sp$fitted.values)
df erroR(df, type = "misclass", thresh = 0.7)
```

```
## Summary metrics
Rsquared(sp, measure = "ugba")
Rsquared(sp, measure = "mcfadden")
```

Before installing `gofcat`

, it is encouraged to have a
recent version of R installed. The
released version of `gofcat`

can be installed from CRAN with:

`install.packages("gofcat")`

or the development version from GitHub with:

```
if (!require("devtools")) install.packages("devtools")
::install_github("ejikeugba/gofcat") devtools
```

Load `gofcat`

into R environment with:

`library(gofcat)`

Pull requests are welcomed! Please submit your contributions to
`gofcat`

through the list of `Pull Requests`

,
following the contributing
guidelines. To report issues and/or seek support, please file a new
ticket in the issue tracker, and
expect a feedback ASAP!

Please note that `gofcat`

is released with a Contributor
Code of Conduct. By contributing to this project, you agree to abide
by its terms.

Fagerland, M. W. and Hosmer, D. W. (2017). How to test for goodness
of fit in ordinal logistic regression models. *Stata Journal*,
17, 668-686.

Ugba, E. R. and Gertheiss, J. (2018). An Augmented Likelihood Ratio
Index for Categorical Response Models. In *Proceedings of 33rd
International Workshop on Statistical Modelling*, Bristol, 293-298.
http://www.statmod.org/workshops_archive_proceedings_2018.html

Ugba, E. R. (2021). serp: An R package for smoothing in ordinal
regression *Journal of Open Source Software*, 6(66), 3705. https://doi.org/10.21105/joss.03705