Given a set of observed data including a binary response variable y and an rstanreg model of y, this function returns summaries of the model's posterior classification quality. These summaries include a confusion matrix as well as estimates of the model's sensitivity, specificity, and overall accuracy.

classification_summary(model, data, cutoff = 0.5)

Arguments

model

an rstanreg model object with binary y

data

data frame including the variables in the model, both response y and predictors x

cutoff

probability cutoff to classify a new case as positive (0.5 is the default)

Value

a list

Examples

x <- rnorm(20)
z <- 3*x
prob <- 1/(1+exp(-z))
y <- rbinom(20, 1, prob)
example_data <- data.frame(x = x, y = y)
example_model <- rstanarm::stan_glm(y ~ x, data = example_data, family = binomial)
#> 
#> SAMPLING FOR MODEL 'bernoulli' NOW (CHAIN 1).
#> Chain 1: 
#> Chain 1: Gradient evaluation took 1.9e-05 seconds
#> Chain 1: 1000 transitions using 10 leapfrog steps per transition would take 0.19 seconds.
#> Chain 1: Adjust your expectations accordingly!
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#> Chain 1:  Elapsed Time: 0.01404 seconds (Warm-up)
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#> Chain 1:                0.030594 seconds (Total)
#> Chain 1: 
#> 
#> SAMPLING FOR MODEL 'bernoulli' NOW (CHAIN 2).
#> Chain 2: 
#> Chain 2: Gradient evaluation took 4e-06 seconds
#> Chain 2: 1000 transitions using 10 leapfrog steps per transition would take 0.04 seconds.
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#> Chain 2:                0.031403 seconds (Total)
#> Chain 2: 
#> 
#> SAMPLING FOR MODEL 'bernoulli' NOW (CHAIN 3).
#> Chain 3: 
#> Chain 3: Gradient evaluation took 3e-06 seconds
#> Chain 3: 1000 transitions using 10 leapfrog steps per transition would take 0.03 seconds.
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#> Chain 3:  Elapsed Time: 0.013231 seconds (Warm-up)
#> Chain 3:                0.015268 seconds (Sampling)
#> Chain 3:                0.028499 seconds (Total)
#> Chain 3: 
#> 
#> SAMPLING FOR MODEL 'bernoulli' NOW (CHAIN 4).
#> Chain 4: 
#> Chain 4: Gradient evaluation took 3e-06 seconds
#> Chain 4: 1000 transitions using 10 leapfrog steps per transition would take 0.03 seconds.
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#> Chain 4:  Elapsed Time: 0.01352 seconds (Warm-up)
#> Chain 4:                0.017437 seconds (Sampling)
#> Chain 4:                0.030957 seconds (Total)
#> Chain 4: 
classification_summary(model = example_model, data = example_data, cutoff = 0.5)                   
#> $confusion_matrix
#>  y  0 1
#>  0 11 2
#>  1  0 7
#> 
#> $accuracy_rates
#>                           
#> sensitivity      1.0000000
#> specificity      0.8461538
#> overall_accuracy 0.9000000
#>