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- data <- tibble(
- shift_id = c(1, 2, 3, 4, 5, 6, 7, 8,9,10),
- shift_duration = c(12, 7, 30, 11, 14, 16, 19, 32,11,12),
- goal_for = c(1, 1, 0, 0, 1, 1, 0, 0,0,0),
- for_players = list(
- c("A", "B"),
- c("A", "C"),
- c("B", "C"),
- c("A", "C"),
- c("B", "C"),
- c("A", "B"),
- c("B", "C"),
- c("A", "B"),
- c("B", "C"),
- c("A", "B")
- ),
- against_players = list(
- c("X", "Z"),
- c("Y", "Z"),
- c("X", "Y"),
- c("X", "Y"),
- c("X", "Z"),
- c("Y", "Z"),
- c("X", "Y"),
- c("Y", "Z"),
- c("X", "Y"),
- c("Y", "Z")
- )
- )
- (black magic goes here)
- model_data <- tibble(
- shift_id = c(1, 2, 3, 4, 5, 6, 7, 8, 9, 10),
- shift_duration = c(12, 7, 30, 11, 14, 16, 19, 32, 11, 12),
- goal_for = c(1, 1, 0, 0, 1, 1, 0, 0, 0, 0),
- for_player_A = c(1, 1, 0, 1, 0, 1, 0, 1, 0, 1),
- for_player_B = c(1, 0, 1, 0, 1, 1, 1, 1, 1, 1),
- for_player_C = c(0, 1, 1, 1, 1, 0, 1, 0, 1, 0),
- against_player_X = c(1, 0, 1, 1, 1, 0, 1, 0, 1, 0),
- against_player_Y = c(0, 1, 1, 1, 0, 1, 1, 1, 1, 1),
- against_player_Z = c(1, 1, 0, 0, 1, 1, 0, 1, 0, 1)
- )
- mod.gam <- mgcv::gam(
- data = model_data,
- formula = goal_for ~ offset(log(shift_duration)) + for_player_A + for_player_B + for_player_C +
- against_player_X + against_player_Y + against_player_Z,
- family = poisson(link = log)
- )
- > data
- # A tibble: 10 x 5
- shift_id shift_duration goal_for for_players against_players
- <dbl> <dbl> <dbl> <list> <list>
- 1 1.00 12.0 1.00 <chr [2]> <chr [2]>
- 2 2.00 7.00 1.00 <chr [2]> <chr [2]>
- 3 3.00 30.0 0 <chr [2]> <chr [2]>
- 4 4.00 11.0 0 <chr [2]> <chr [2]>
- 5 5.00 14.0 1.00 <chr [2]> <chr [2]>
- 6 6.00 16.0 1.00 <chr [2]> <chr [2]>
- 7 7.00 19.0 0 <chr [2]> <chr [2]>
- 8 8.00 32.0 0 <chr [2]> <chr [2]>
- 9 9.00 11.0 0 <chr [2]> <chr [2]>
- 10 10.0 12.0 0 <chr [2]> <chr [2]>
- > model_data
- # A tibble: 10 x 9
- shift_id shift_duration goal_for for_player_A for_player_B for_player_C against_player_X against_player_Y against_player_Z
- <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
- 1 1.00 12.0 1.00 1.00 1.00 0 1.00 0 1.00
- 2 2.00 7.00 1.00 1.00 0 1.00 0 1.00 1.00
- 3 3.00 30.0 0 0 1.00 1.00 1.00 1.00 0
- 4 4.00 11.0 0 1.00 0 1.00 1.00 1.00 0
- 5 5.00 14.0 1.00 0 1.00 1.00 1.00 0 1.00
- 6 6.00 16.0 1.00 1.00 1.00 0 0 1.00 1.00
- 7 7.00 19.0 0 0 1.00 1.00 1.00 1.00 0
- 8 8.00 32.0 0 1.00 1.00 0 0 1.00 1.00
- 9 9.00 11.0 0 0 1.00 1.00 1.00 1.00 0
- 10 10.0 12.0 0 1.00 1.00 0 0 1.00 1.00
- Family: poisson
- Link function: log
- Formula:
- goal_for ~ offset(log(shift_duration)) + for_player_A + for_player_B +
- for_player_C + against_player_X + against_player_Y + against_player_Z
- Parametric coefficients:
- Estimate Std. Error z value Pr(>|z|)
- (Intercept) -22.0296 4317.9341 -0.005 0.996
- for_player_A 0.0000 0.0000 NA NA
- for_player_B -2.3026 2.0000 -1.151 0.250
- for_player_C -0.1542 1.4142 -0.109 0.913
- against_player_X 1.6094 1.4142 1.138 0.255
- against_player_Y 0.0000 0.0000 NA NA
- against_player_Z 20.2378 4317.9339 0.005 0.996
- Rank: 5/7
- R-sq.(adj) = 0.353 Deviance explained = 73.6%
- UBRE = 0.26435 Scale est. = 1 n = 10
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