# How to calculate AUC in (%) in a plot?

I have two models namely `2, and 3`. I have `10 test datasets`. For each model and each dataset, I have applied different thresholds (8 thresholds for each test dataset). I also calculated the `true positive rate, false-positive rate, etc` for each test dataset.

The code I am using to draw the `AUC`

``````ggplot(calculation_information, mapping = aes(x = FPR_All, y = TPR_All, color = SP_length)) +
geom_line(show.legend = FALSE) +
facet_grid(SP_length ~ Test_dataset,
labeller = labeller(Test_dataset = function(x)paste0("Test Dataset ",x),
SP_length = function(x)paste0("SP Length ",x)))
``````

The plot look likes

Also, I want to show the value of the `AUC` in each plot. For example, `AUC = 50.04% etc.`. Something like this.

How can I do this?

Reproducible data

``````structure(list(SP_length = c(2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L), Test_dataset = c(1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L), Prediction_Threshold = c(1.01590126290632, 1.11590126290632,
1.21590126290632, 1.31590126290632, 1.41590126290632, 1.51590126290632,
1.61590126290632, 1.71590126290632, 1.73978185992124, 1.83978185992124,
1.93978185992124, 2.03978185992124, 2.13978185992124, 2.23978185992124,
2.33978185992124, 1.01590126290632, 1.11590126290632, 1.21590126290632,
1.31590126290632, 1.41590126290632, 1.51590126290632, 1.61590126290632,
1.71590126290632, 1.81590126290632, 1.80215326487164, 1.90215326487164,
2.00215326487164, 2.10215326487164, 2.20215326487164, 2.30215326487164,
2.40215326487164, 1.01590126290632, 1.11590126290632, 1.21590126290632,
1.31590126290632, 1.41590126290632, 1.51590126290632, 1.61590126290632,
1.71590126290632, 1.81590126290632, 1.91590126290632, 1.73978185992124,
1.83978185992124, 1.93978185992124, 2.03978185992124, 2.13978185992124,
2.23978185992124, 2.33978185992124, 2.43978185992124, 2.53978185992124
), TPR_All = c(1, 1, 0.916372202591284, 0.273262661955241, 0.113074204946996,
0.0577149587750294, 0.0188457008244994, 0.00471142520612485,
1, 0.555555555555556, 0.333333333333333, 0.222222222222222, 0.111111111111111,
0.111111111111111, 0, 1, 1, 0.910377358490566, 0.274764150943396,
0.108490566037736, 0.0577830188679245, 0.0188679245283019, 0.00943396226415094,
0.00117924528301887, 1, 0.444444444444444, 0.333333333333333,
0.111111111111111, 0, 0, 0, 1, 1, 0.895610913404508, 0.230130486358244,
0.107947805456702, 0.0557532621589561, 0.0166073546856465, 0.0118623962040332,
0.00474495848161329, 0.00118623962040332, 1, 0.8, 0.5, 0.5, 0.3,
0.2, 0.2, 0.2, 0.1), FPR_All = c(1, 0.999260901699926, 0.920177383592018,
0.212860310421286, 0.0307957625030796, 0.00394185760039419, 0,
0, 1, 0.871914609739827, 0.244162775183456, 0.0907271514342895,
0.0433622414943296, 0.00733822548365577, 0.00333555703802535,
1, 0.999266503667482, 0.896332518337408, 0.211735941320293, 0.0371638141809291,
0.0039119804400978, 0, 0, 0, 1, 0.42235609103079, 0.171352074966533,
0.0796519410977242, 0.0307898259705489, 0.0100401606425703, 0.00267737617135207,
1, 0.99927728258251, 0.90966032281378, 0.215851602023609, 0.0298723199229101,
0.00433630450493857, 0, 0, 0, 0, 1, 0.880108991825613, 0.335149863760218,
0.0831062670299728, 0.0333787465940054, 0.0143051771117166, 0.00136239782016349,
0, 0)), row.names = c(NA, 50L), class = "data.frame")
``````

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