MultiarmSACE/SampleCodePI.R at main · deckardt98/MultiarmSACE · GitHub

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
###########################SA under violation of PI#############################

library(geex)
library(latex2exp)
source("SampleCodeFunPI.R")

#Data pre-processing
load("./ntp.rdata")
df <- ntp
#Reorder the treatment values such that higher level indicates higher survival probability
df$Z <- 5-df$Z
df$C <- as.factor(df$C)
df$C2 <- as.factor(df$C2)

######################################fix delta1=1 ########################################
#setup for the coordinates for the plot when fixing delta1 and varying delta2 and delta3
x_seq <- seq(0.51, 2.00, length = 150) #delta2
y_seq <- seq(0.51, 2.00, length = 150) #delta3

par(mar = c(5, 5, 7, 5), mfrow = c(2, 3))
#panel PSW delta1=1
plot_sa_pi_psw12 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_psw_sa_pi(df, g=4, z=1, zp=2, 1, x, y)))
contour(x_seq, y_seq, plot_sa_pi_psw12, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_2$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,2)$"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_psw13 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_psw_sa_pi(df, g=4, z=1, zp=3, 1, x, y)))
contour(x_seq, y_seq, plot_sa_pi_psw13, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_2$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,3)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_psw14 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_psw_sa_pi(df, g=4, z=1, zp=4, 1, x, y)))
contour(x_seq, y_seq, plot_sa_pi_psw14, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_2$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,4)"), side = 3, line = 1, cex = 1.5)


plot_sa_pi_psw23 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_psw_sa_pi(df, g=4, z=2, zp=3, 1, x, y)))
contour(x_seq, y_seq, plot_sa_pi_psw23, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_2$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(2,3)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_psw24 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_psw_sa_pi(df, g=4, z=2, zp=4, 1, x, y)))
contour(x_seq, y_seq, plot_sa_pi_psw24, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_2$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(2,4)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_psw34 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_psw_sa_pi(df, g=4, z=3, zp=4, 1, x, y)))
contour(x_seq, y_seq, plot_sa_pi_psw34, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_2$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(3,4)"), side = 3, line = 1, cex = 1.5)
mtext("Principal Score Weighting", side = 3, line = -3, cex = 1.5, outer = TRUE)


#panel OR delta1=1
par(mar = c(5, 5, 7, 5), mfrow = c(2, 3))
plot_sa_pi_or12 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_or_sa_pi(df, g=4, z=1, zp=2, 1, x, y)))
contour(x_seq, y_seq, plot_sa_pi_or12, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_2$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,2)$"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_or13 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_or_sa_pi(df, g=4, z=1, zp=3, 1, x, y)))
contour(x_seq, y_seq, plot_sa_pi_or13, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_2$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,3)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_or14 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_or_sa_pi(df, g=4, z=1, zp=4, 1, x, y)))
contour(x_seq, y_seq, plot_sa_pi_or14, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_2$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,4)"), side = 3, line = 1, cex = 1.5)


plot_sa_pi_or23 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_or_sa_pi(df, g=4, z=2, zp=3, 1, x, y)))
contour(x_seq, y_seq, plot_sa_pi_or23, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_2$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(2,3)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_or24 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_or_sa_pi(df, g=4, z=2, zp=4, 1, x, y)))
contour(x_seq, y_seq, plot_sa_pi_or24, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_2$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(2,4)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_or34 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_or_sa_pi(df, g=4, z=3, zp=4, 1, x, y)))
contour(x_seq, y_seq, plot_sa_pi_or34, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_2$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(3,4)"), side = 3, line = 1, cex = 1.5)
mtext("Outcome Regression", side = 3, line = -3, cex = 1.5, outer = TRUE)


#panel DR delta1=1
par(mar = c(5, 5, 7, 5), mfrow = c(2, 3))
plot_sa_pi_dr12 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_dr_sa_pi(df, g=4, z=1, zp=2, 1, x, y)))
contour(x_seq, y_seq, plot_sa_pi_dr12, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_2$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,2)$"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_dr13 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_dr_sa_pi(df, g=4, z=1, zp=3, 1, x, y)))
contour(x_seq, y_seq, plot_sa_pi_dr13, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_2$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,3)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_dr14 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_dr_sa_pi(df, g=4, z=1, zp=4, 1, x, y)))
contour(x_seq, y_seq, plot_sa_pi_dr14, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_2$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,4)"), side = 3, line = 1, cex = 1.5)


plot_sa_pi_dr23 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_dr_sa_pi(df, g=4, z=2, zp=3, 1, x, y)))
contour(x_seq, y_seq, plot_sa_pi_dr23, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_2$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(2,3)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_dr24 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_dr_sa_pi(df, g=4, z=2, zp=4, 1, x, y)))
contour(x_seq, y_seq, plot_sa_pi_dr24, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_2$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(2,4)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_dr34 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_dr_sa_pi(df, g=4, z=3, zp=4, 1, x, y)))
contour(x_seq, y_seq, plot_sa_pi_dr34, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_2$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(3,4)"), side = 3, line = 1, cex = 1.5)
mtext("Doubly Robust", side = 3, line = -3, cex = 1.5, outer = TRUE)


######################################fix delta2=1 ########################################
#setup for the coordinates for the plot when fixing delta2 and varying delta1 and delta3
x_seq <- seq(0.51, 2.00, length = 150) #delta1
y_seq <- seq(0.51, 2.00, length = 150) #delta3

par(mar = c(5, 5, 7, 5), mfrow = c(2, 3))
#panel PSW delta2=1
plot_sa_pi_psw12 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_psw_sa_pi(df, g=4, z=1, zp=2, x, 1, y)))
contour(x_seq, y_seq, plot_sa_pi_psw12, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,2)$"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_psw13 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_psw_sa_pi(df, g=4, z=1, zp=3, x, 1, y)))
contour(x_seq, y_seq, plot_sa_pi_psw13, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,3)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_psw14 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_psw_sa_pi(df, g=4, z=1, zp=4, x, 1, y)))
contour(x_seq, y_seq, plot_sa_pi_psw14, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,4)"), side = 3, line = 1, cex = 1.5)


plot_sa_pi_psw23 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_psw_sa_pi(df, g=4, z=2, zp=3, x, 1, y)))
contour(x_seq, y_seq, plot_sa_pi_psw23, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(2,3)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_psw24 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_psw_sa_pi(df, g=4, z=2, zp=4, x, 1, y)))
contour(x_seq, y_seq, plot_sa_pi_psw24, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(2,4)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_psw34 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_psw_sa_pi(df, g=4, z=3, zp=4, x, 1, y)))
contour(x_seq, y_seq, plot_sa_pi_psw34, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(3,4)"), side = 3, line = 1, cex = 1.5)
mtext("Principal Score Weighting", side = 3, line = -3, cex = 1.5, outer = TRUE)


#panel OR delta2=1
par(mar = c(5, 5, 7, 5), mfrow = c(2, 3))
plot_sa_pi_or12 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_or_sa_pi(df, g=4, z=1, zp=2, x, 1, y)))
contour(x_seq, y_seq, plot_sa_pi_or12, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,2)$"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_or13 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_or_sa_pi(df, g=4, z=1, zp=3, x, 1, y)))
contour(x_seq, y_seq, plot_sa_pi_or13, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,3)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_or14 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_or_sa_pi(df, g=4, z=1, zp=4, x, 1, y)))
contour(x_seq, y_seq, plot_sa_pi_or14, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,4)"), side = 3, line = 1, cex = 1.5)


plot_sa_pi_or23 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_or_sa_pi(df, g=4, z=2, zp=3, x, 1, y)))
contour(x_seq, y_seq, plot_sa_pi_or23, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(2,3)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_or24 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_or_sa_pi(df, g=4, z=2, zp=4, x, 1, y)))
contour(x_seq, y_seq, plot_sa_pi_or24, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(2,4)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_or34 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_or_sa_pi(df, g=4, z=3, zp=4, x, 1, y)))
contour(x_seq, y_seq, plot_sa_pi_or34, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(3,4)"), side = 3, line = 1, cex = 1.5)
mtext("Outcome Regression", side = 3, line = -3, cex = 1.5, outer = TRUE)


#panel DR delta2=1
par(mar = c(5, 5, 7, 5), mfrow = c(2, 3))
plot_sa_pi_dr12 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_dr_sa_pi(df, g=4, z=1, zp=2, x, 1, y)))
contour(x_seq, y_seq, plot_sa_pi_dr12, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,2)$"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_dr13 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_dr_sa_pi(df, g=4, z=1, zp=3, x, 1, y)))
contour(x_seq, y_seq, plot_sa_pi_dr13, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,3)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_dr14 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_dr_sa_pi(df, g=4, z=1, zp=4, x, 1, y)))
contour(x_seq, y_seq, plot_sa_pi_dr14, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,4)"), side = 3, line = 1, cex = 1.5)


plot_sa_pi_dr23 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_dr_sa_pi(df, g=4, z=2, zp=3, x, 1, y)))
contour(x_seq, y_seq, plot_sa_pi_dr23, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(2,3)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_dr24 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_dr_sa_pi(df, g=4, z=2, zp=4, x, 1, y)))
contour(x_seq, y_seq, plot_sa_pi_dr24, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(2,4)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_dr34 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_dr_sa_pi(df, g=4, z=3, zp=4, x, 1, y)))
contour(x_seq, y_seq, plot_sa_pi_dr34, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_3$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(3,4)"), side = 3, line = 1, cex = 1.5)
mtext("Doubly Robust", side = 3, line = -3, cex = 1.5, outer = TRUE)


######################################fix delta3=1 ########################################
#setup for the coordinates for the plot when fixing delta3 and varying delta1 and delta2
x_seq <- seq(0.51, 2.00, length = 150) #delta1
y_seq <- seq(0.51, 2.00, length = 150) #delta2

par(mar = c(5, 5, 7, 5), mfrow = c(2, 3))
#panel PSW delta3=1
plot_sa_pi_psw12 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_psw_sa_pi(df, g=4, z=1, zp=2, x, y, 1)))
contour(x_seq, y_seq, plot_sa_pi_psw12, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_2$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,2)$"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_psw13 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_psw_sa_pi(df, g=4, z=1, zp=3, x, y, 1)))
contour(x_seq, y_seq, plot_sa_pi_psw13, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_2$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,3)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_psw14 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_psw_sa_pi(df, g=4, z=1, zp=4, x, y, 1)))
contour(x_seq, y_seq, plot_sa_pi_psw14, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_2$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,4)"), side = 3, line = 1, cex = 1.5)


plot_sa_pi_psw23 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_psw_sa_pi(df, g=4, z=2, zp=3, x, y, 1)))
contour(x_seq, y_seq, plot_sa_pi_psw23, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_2$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(2,3)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_psw24 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_psw_sa_pi(df, g=4, z=2, zp=4, x, y, 1)))
contour(x_seq, y_seq, plot_sa_pi_psw24, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_2$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(2,4)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_psw34 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_psw_sa_pi(df, g=4, z=3, zp=4, x, y, 1)))
contour(x_seq, y_seq, plot_sa_pi_psw34, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_2$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(3,4)"), side = 3, line = 1, cex = 1.5)
mtext("Principal Score Weighting", side = 3, line = -3, cex = 1.5, outer = TRUE)


#panel OR delta3=1
par(mar = c(5, 5, 7, 5), mfrow = c(2, 3))
plot_sa_pi_or12 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_or_sa_pi(df, g=4, z=1, zp=2, x, y, 1)))
contour(x_seq, y_seq, plot_sa_pi_or12, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_2$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,2)$"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_or13 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_or_sa_pi(df, g=4, z=1, zp=3, x, y, 1)))
contour(x_seq, y_seq, plot_sa_pi_or13, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_2$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,3)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_or14 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_or_sa_pi(df, g=4, z=1, zp=4, x, y, 1)))
contour(x_seq, y_seq, plot_sa_pi_or14, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_2$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,4)"), side = 3, line = 1, cex = 1.5)


plot_sa_pi_or23 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_or_sa_pi(df, g=4, z=2, zp=3, x, y, 1)))
contour(x_seq, y_seq, plot_sa_pi_or23, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_2$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(2,3)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_or24 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_or_sa_pi(df, g=4, z=2, zp=4, x, y, 1)))
contour(x_seq, y_seq, plot_sa_pi_or24, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_2$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(2,4)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_or34 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_or_sa_pi(df, g=4, z=3, zp=4, x, y, 1)))
contour(x_seq, y_seq, plot_sa_pi_or34, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_2$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(3,4)"), side = 3, line = 1, cex = 1.5)
mtext("Outcome Regression", side = 3, line = -3, cex = 1.5, outer = TRUE)


#panel DR delta3=1
par(mar = c(5, 5, 7, 5), mfrow = c(2, 3))
plot_sa_pi_dr12 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_dr_sa_pi(df, g=4, z=1, zp=2, x, y, 1)))
contour(x_seq, y_seq, plot_sa_pi_dr12, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_2$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,2)$"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_dr13 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_dr_sa_pi(df, g=4, z=1, zp=3, x, y, 1)))
contour(x_seq, y_seq, plot_sa_pi_dr13, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_2$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,3)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_dr14 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_dr_sa_pi(df, g=4, z=1, zp=4, x, y, 1)))
contour(x_seq, y_seq, plot_sa_pi_dr14, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_2$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(1,4)"), side = 3, line = 1, cex = 1.5)


plot_sa_pi_dr23 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_dr_sa_pi(df, g=4, z=2, zp=3, x, y, 1)))
contour(x_seq, y_seq, plot_sa_pi_dr23, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_2$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(2,3)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_dr24 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_dr_sa_pi(df, g=4, z=2, zp=4, x, y, 1)))
contour(x_seq, y_seq, plot_sa_pi_dr24, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_2$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(2,4)"), side = 3, line = 1, cex = 1.5)

plot_sa_pi_dr34 <- outer(x_seq, y_seq, Vectorize(function(x, y)point_dr_sa_pi(df, g=4, z=3, zp=4, x, y, 1)))
contour(x_seq, y_seq, plot_sa_pi_dr34, labcex = 1, cex.lab = 1.5, cex.axis = 1.5, col = "blue", lwd = 2)
mtext(TeX("$\\delta_1$"), side = 1, line = 3, cex = 1.5)
mtext(TeX("$\\delta_2$"), side = 2, line = 3, cex = 1.5, las = 1)
mtext(TeX("$\\Delta_4(3,4)"), side = 3, line = 1, cex = 1.5)
mtext("Doubly Robust", side = 3, line = -3, cex = 1.5, outer = TRUE)