Hi,

I'm not very clear on what you are trying to achieve, but I think you could try 
the following for your Q1...

> Q1: Please how do I generate many samples as x above, say up to 5000
> or 10,000? I manually generated and stored as x1,x2, x3 up to x100.

ndta = nrow(dta)
x0 = 8890
x1 = 9500
xx = seq(from = x0, to = x1, by = 1)
N_many = 50 # make 5000 etc as required
m <- sapply(   seq_len(N_many), function(i) sample(xx, ndta, replace = TRUE))

str(m)
# int [1:1136, 1:50] 9147 8904 9062 8946 9330 9056 9239 9284 9290 9441 ...

summary(as.vector(m))
#   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
#   8890    9043    9195    9196    9348    9500 

m[1:5, 1:5]
#     [,1] [,2] [,3] [,4] [,5]
#[1,] 9147 9124 9341 8999 9268
#[2,] 8904 9246 9087 9041 8943
#[3,] 9062 9184 9061 9119 9350
#[4,] 8946 9242 8932 9306 9270
#[5,] 9330 8979 9437 9030 9333

Each sample set of length ndta (in this case ndta = 1136) is found in a column 
of the matrix.   Is that what you are looking for?

Ben

> On Feb 27, 2019, at 4:53 PM, Ogbos Okike <giftedlife2...@gmail.com> wrote:
> 
> Dear Kind List,
> 
> I am still battling with this. I have, however, made some progress
> with the suggestions of Micheal and others. At least, I have a better
> picture of what I want to do now as I will attempt a detailed
> description here.
> 
> I am aware I should show you just a small part of my code and data.
> But when I copied out a small portion and run to see what you get when
> I send that,  I was not satisfied with the signal displayed. The epoch
> analysis averages data and is quite sensitive to leveraging,
> especially if a small sample is used.
> 
> So please permit/exercise patience  me to display the series of epoch
> that give the averaged valued used. You can just run the code and see
> the signal of interest. Here is the code and the data:
> 
> dta <- read.table( text ="n CR
> -5 8969
> -4 8932
> -3 8929
> -2 8916
> -1 8807
> 0 8449
> 1 8484
> 2 8148
> 3 8282
> 4 8305
> 5 8380
> 6 8530
> 7 8642
> 8 8780
> 9 8890
> 10 8962
> -5 8929
> -4 8916
> -3 8807
> -2 8449
> -1 8484
> 0 8148
> 1 8282
> 2 8305
> 3 8380
> 4 8530
> 5 8642
> 6 8780
> 7 8890
> 8 8962
> 9 8949
> 10 8974
> -5 8744
> -4 8786
> -3 8828
> -2 8807
> -1 8716
> 0 8520
> 1 8634
> 2 8640
> 3 8636
> 4 8658
> 5 8699
> 6 8682
> 7 8621
> 8 8626
> 9 8660
> 10 8737
> -5 8592
> -4 8612
> -3 8628
> -2 8589
> -1 8318
> 0 8264
> 1 8294
> 2 8410
> 3 8442
> 4 8416
> 5 8389
> 6 8412
> 7 8453
> 8 8563
> 9 8581
> 10 8613
> -5 8264
> -4 8294
> -3 8410
> -2 8442
> -1 8416
> 0 8389
> 1 8412
> 2 8453
> 3 8563
> 4 8581
> 5 8613
> 6 8647
> 7 8613
> 8 8508
> 9 7829
> 10 7499
> -5 8613
> -4 8647
> -3 8613
> -2 8508
> -1 7829
> 0 7499
> 1 8213
> 2 7993
> 3 7821
> 4 8316
> 5 8460
> 6 8533
> 7 8584
> 8 8586
> 9 8567
> 10 8573
> -5 8508
> -4 7829
> -3 7499
> -2 8213
> -1 7993
> 0 7821
> 1 8316
> 2 8460
> 3 8533
> 4 8584
> 5 8586
> 6 8567
> 7 8573
> 8 8617
> 9 8591
> 10 8661
> -5 8851
> -4 8893
> -3 8858
> -2 8803
> -1 8790
> 0 8468
> 1 8545
> 2 8570
> 3 8568
> 4 8624
> 5 8669
> 6 8236
> 7 8190
> 8 8313
> 9 8389
> 10 8421
> -5 8803
> -4 8790
> -3 8468
> -2 8545
> -1 8570
> 0 8568
> 1 8624
> 2 8669
> 3 8236
> 4 8190
> 5 8313
> 6 8389
> 7 8421
> 8 8468
> 9 8537
> 10 8580
> -5 8570
> -4 8568
> -3 8624
> -2 8669
> -1 8236
> 0 8190
> 1 8313
> 2 8389
> 3 8421
> 4 8468
> 5 8537
> 6 8580
> 7 8605
> 8 8646
> 9 8690
> 10 8770
> -5 8690
> -4 8770
> -3 8799
> -2 8821
> -1 8666
> 0 8539
> 1 8633
> 2 8617
> 3 8651
> 4 8693
> 5 8715
> 6 8738
> 7 8716
> 8 8677
> 9 8680
> 10 8700
> -5 8756
> -4 8632
> -3 8662
> -2 8596
> -1 8552
> 0 8502
> 1 8633
> 2 8702
> 3 8745
> 4 8730
> 5 8708
> 6 8817
> 7 8724
> 8 8688
> 9 8693
> 10 8746
> -5 8926
> -4 8888
> -3 8798
> -2 8651
> -1 8678
> 0 8578
> 1 8593
> 2 8598
> 3 8526
> 4 8181
> 5 8204
> 6 8373
> 7 8599
> 8 8773
> 9 8784
> 10 8746
> -5 8678
> -4 8578
> -3 8593
> -2 8598
> -1 8526
> 0 8181
> 1 8204
> 2 8373
> 3 8599
> 4 8773
> 5 8784
> 6 8746
> 7 8747
> 8 8757
> 9 8749
> 10 8767
> -5 8757
> -4 8749
> -3 8767
> -2 8754
> -1 8695
> 0 8631
> 1 8661
> 2 8653
> 3 8588
> 4 8562
> 5 8613
> 6 8595
> 7 8498
> 8 8404
> 9 8507
> 10 8599
> -5 8695
> -4 8631
> -3 8661
> -2 8653
> -1 8588
> 0 8562
> 1 8613
> 2 8595
> 3 8498
> 4 8404
> 5 8507
> 6 8599
> 7 8592
> 8 8600
> 9 8637
> 10 8635
> -5 8588
> -4 8562
> -3 8613
> -2 8595
> -1 8498
> 0 8404
> 1 8507
> 2 8599
> 3 8592
> 4 8600
> 5 8637
> 6 8635
> 7 8632
> 8 8674
> 9 8644
> 10 8687
> -5 8595
> -4 8498
> -3 8404
> -2 8507
> -1 8599
> 0 8592
> 1 8600
> 2 8637
> 3 8635
> 4 8632
> 5 8674
> 6 8644
> 7 8687
> 8 8721
> 9 8747
> 10 8748
> -5 8599
> -4 8592
> -3 8600
> -2 8637
> -1 8635
> 0 8632
> 1 8674
> 2 8644
> 3 8687
> 4 8721
> 5 8747
> 6 8748
> 7 8739
> 8 8763
> 9 8792
> 10 8558
> -5 8600
> -4 8637
> -3 8635
> -2 8632
> -1 8674
> 0 8644
> 1 8687
> 2 8721
> 3 8747
> 4 8748
> 5 8739
> 6 8763
> 7 8792
> 8 8558
> 9 8442
> 10 8555
> -5 8748
> -4 8739
> -3 8763
> -2 8792
> -1 8558
> 0 8442
> 1 8555
> 2 8622
> 3 8634
> 4 8698
> 5 8732
> 6 8713
> 7 8732
> 8 8681
> 9 8615
> 10 8624
> -5 8698
> -4 8732
> -3 8713
> -2 8732
> -1 8681
> 0 8615
> 1 8624
> 2 8649
> 3 8656
> 4 8678
> 5 8723
> 6 8693
> 7 8548
> 8 7803
> 9 7801
> 10 7724
> -5 8723
> -4 8693
> -3 8548
> -2 7803
> -1 7801
> 0 7724
> 1 7910
> 2 7829
> 3 7995
> 4 8156
> 5 8307
> 6 8377
> 7 8465
> 8 8506
> 9 8516
> 10 8536
> -5 8548
> -4 7803
> -3 7801
> -2 7724
> -1 7910
> 0 7829
> 1 7995
> 2 8156
> 3 8307
> 4 8377
> 5 8465
> 6 8506
> 7 8516
> 8 8536
> 9 8574
> 10 8623
> -5 8821
> -4 8856
> -3 8798
> -2 8772
> -1 8705
> 0 8682
> 1 8691
> 2 8720
> 3 8727
> 4 8789
> 5 8821
> 6 8811
> 7 8841
> 8 8849
> 9 8849
> 10 8860
> -5 8835
> -4 8829
> -3 8826
> -2 8799
> -1 8775
> 0 8756
> 1 8793
> 2 8814
> 3 8847
> 4 8838
> 5 8833
> 6 8841
> 7 8847
> 8 8903
> 9 8933
> 10 8918
> -5 8890
> -4 8875
> -3 8874
> -2 8865
> -1 8891
> 0 8839
> 1 8853
> 2 8888
> 3 8884
> 4 8890
> 5 8889
> 6 8839
> 7 8879
> 8 8908
> 9 8924
> 10 8882
> -5 8853
> -4 8888
> -3 8884
> -2 8890
> -1 8889
> 0 8839
> 1 8879
> 2 8908
> 3 8924
> 4 8882
> 5 8910
> 6 8903
> 7 8859
> 8 8858
> 9 8863
> 10 8847
> -5 8924
> -4 8882
> -3 8910
> -2 8903
> -1 8859
> 0 8858
> 1 8863
> 2 8847
> 3 8883
> 4 8869
> 5 8878
> 6 8897
> 7 8922
> 8 8895
> 9 8858
> 10 8858
> -5 8910
> -4 8903
> -3 8859
> -2 8858
> -1 8863
> 0 8847
> 1 8883
> 2 8869
> 3 8878
> 4 8897
> 5 8922
> 6 8895
> 7 8858
> 8 8858
> 9 8736
> 10 8905
> -5 8859
> -4 8858
> -3 8863
> -2 8847
> -1 8883
> 0 8869
> 1 8878
> 2 8897
> 3 8922
> 4 8895
> 5 8858
> 6 8858
> 7 8736
> 8 8905
> 9 8935
> 10 8974
> -5 8897
> -4 8922
> -3 8895
> -2 8858
> -1 8858
> 0 8736
> 1 8905
> 2 8935
> 3 8974
> 4 8946
> 5 8952
> 6 9010
> 7 8980
> 8 8976
> 9 8970
> 10 8961
> -5 9376
> -4 9336
> -3 9311
> -2 9287
> -1 9221
> 0 9087
> 1 9132
> 2 9175
> 3 9166
> 4 9240
> 5 9264
> 6 9271
> 7 9319
> 8 9324
> 9 9333
> 10 9351
> -5 9287
> -4 9221
> -3 9087
> -2 9132
> -1 9175
> 0 9166
> 1 9240
> 2 9264
> 3 9271
> 4 9319
> 5 9324
> 6 9333
> 7 9351
> 8 9362
> 9 9385
> 10 9354
> -5 9407
> -4 9414
> -3 9354
> -2 9298
> -1 9319
> 0 9147
> 1 9178
> 2 9196
> 3 9258
> 4 9303
> 5 9369
> 6 9382
> 7 9375
> 8 9389
> 9 9376
> 10 9264
> -5 9386
> -4 9396
> -3 9424
> -2 9391
> -1 9284
> 0 9267
> 1 9278
> 2 9318
> 3 9334
> 4 9275
> 5 9306
> 6 9308
> 7 9358
> 8 9335
> 9 9373
> 10 9379
> -5 9284
> -4 9267
> -3 9278
> -2 9318
> -1 9334
> 0 9275
> 1 9306
> 2 9308
> 3 9358
> 4 9335
> 5 9373
> 6 9379
> 7 9355
> 8 9340
> 9 9327
> 10 9320
> -5 9327
> -4 9320
> -3 9315
> -2 9336
> -1 9371
> 0 9259
> 1 9330
> 2 9355
> 3 9334
> 4 9353
> 5 9370
> 6 9394
> 7 9400
> 8 9318
> 9 9037
> 10 8994
> -5 9394
> -4 9400
> -3 9318
> -2 9037
> -1 8994
> 0 8943
> 1 8964
> 2 8997
> 3 9158
> 4 8964
> 5 8564
> 6 8736
> 7 8818
> 8 8938
> 9 9034
> 10 9132
> -5 8943
> -4 8964
> -3 8997
> -2 9158
> -1 8964
> 0 8564
> 1 8736
> 2 8818
> 3 8938
> 4 9034
> 5 9132
> 6 9167
> 7 9200
> 8 9257
> 9 9266
> 10 9306
> -5 9338
> -4 9354
> -3 9372
> -2 9338
> -1 9308
> 0 9282
> 1 9324
> 2 9318
> 3 9342
> 4 9370
> 5 9331
> 6 9327
> 7 9338
> 8 9381
> 9 9394
> 10 9332
> -5 9372
> -4 9338
> -3 9308
> -2 9282
> -1 9324
> 0 9318
> 1 9342
> 2 9370
> 3 9331
> 4 9327
> 5 9338
> 6 9381
> 7 9394
> 8 9332
> 9 9331
> 10 9293
> -5 9338
> -4 9381
> -3 9394
> -2 9332
> -1 9331
> 0 9293
> 1 9309
> 2 9325
> 3 9406
> 4 9409
> 5 9413
> 6 9426
> 7 9440
> 8 9449
> 9 9512
> 10 9494
> -5 9361
> -4 9354
> -3 9299
> -2 9282
> -1 9250
> 0 9242
> 1 9254
> 2 9321
> 3 9390
> 4 9414
> 5 9435
> 6 9437
> 7 9426
> 8 9398
> 9 9383
> 10 9354
> -5 9365
> -4 9421
> -3 9416
> -2 9355
> -1 9338
> 0 9324
> 1 9325
> 2 9322
> 3 9319
> 4 9381
> 5 9315
> 6 9314
> 7 9359
> 8 9403
> 9 9419
> 10 9474
> -5 9355
> -4 9338
> -3 9324
> -2 9325
> -1 9322
> 0 9319
> 1 9381
> 2 9315
> 3 9314
> 4 9359
> 5 9403
> 6 9419
> 7 9474
> 8 9525
> 9 9501
> 10 9447
> -5 9325
> -4 9322
> -3 9319
> -2 9381
> -1 9315
> 0 9314
> 1 9359
> 2 9403
> 3 9419
> 4 9474
> 5 9525
> 6 9501
> 7 9447
> 8 9424
> 9 9396
> 10 9388
> -5 9447
> -4 9424
> -3 9396
> -2 9388
> -1 9396
> 0 9346
> 1 9358
> 2 9353
> 3 9350
> 4 9378
> 5 9372
> 6 9354
> 7 9349
> 8 9392
> 9 9440
> 10 9467
> -5 9388
> -4 9396
> -3 9346
> -2 9358
> -1 9353
> 0 9350
> 1 9378
> 2 9372
> 3 9354
> 4 9349
> 5 9392
> 6 9440
> 7 9467
> 8 9519
> 9 9550
> 10 9565
> -5 9353
> -4 9350
> -3 9378
> -2 9372
> -1 9354
> 0 9349
> 1 9392
> 2 9440
> 3 9467
> 4 9519
> 5 9550
> 6 9565
> 7 9565
> 8 9497
> 9 9500
> 10 9472
> -5 9522
> -4 9529
> -3 9492
> -2 9432
> -1 9382
> 0 9355
> 1 9361
> 2 9350
> 3 9382
> 4 9451
> 5 9491
> 6 9506
> 7 9529
> 8 9543
> 9 9556
> 10 9553
> -5 9492
> -4 9432
> -3 9382
> -2 9355
> -1 9361
> 0 9350
> 1 9382
> 2 9451
> 3 9491
> 4 9506
> 5 9529
> 6 9543
> 7 9556
> 8 9553
> 9 9502
> 10 9470
> -5 9551
> -4 9505
> -3 9389
> -2 9406
> -1 9377
> 0 9284
> 1 9365
> 2 9424
> 3 9412
> 4 9403
> 5 9384
> 6 9394
> 7 9404
> 8 9413
> 9 9407
> 10 9405
> -5 9579
> -4 9576
> -3 9543
> -2 9451
> -1 9421
> 0 9361
> 1 9394
> 2 9400
> 3 9387
> 4 9366
> 5 9346
> 6 9360
> 7 9385
> 8 9435
> 9 9443
> 10 9430
> -5 9361
> -4 9394
> -3 9400
> -2 9387
> -1 9366
> 0 9346
> 1 9360
> 2 9385
> 3 9435
> 4 9443
> 5 9430
> 6 9454
> 7 9531
> 8 9547
> 9 9581
> 10 9540
> -5 9510
> -4 9546
> -3 9564
> -2 9508
> -1 9422
> 0 9369
> 1 9395
> 2 9438
> 3 9423
> 4 9392
> 5 9368
> 6 9366
> 7 9348
> 8 9340
> 9 9375
> 10 9391
> -5 9423
> -4 9392
> -3 9368
> -2 9366
> -1 9348
> 0 9340
> 1 9375
> 2 9391
> 3 9466
> 4 9545
> 5 9574
> 6 9564
> 7 9527
> 8 9513
> 9 9494
> 10 9542
> -5 9511
> -4 9491
> -3 9457
> -2 9453
> -1 9402
> 0 9382
> 1 9407
> 2 9437
> 3 9403
> 4 9404
> 5 9425
> 6 9486
> 7 9457
> 8 9451
> 9 9423
> 10 9401
> -5 9425
> -4 9486
> -3 9457
> -2 9451
> -1 9423
> 0 9401
> 1 9429
> 2 9422
> 3 9431
> 4 9462
> 5 9475
> 6 9474
> 7 9487
> 8 9493
> 9 9495
> 10 9499
> -5 9404
> -4 9385
> -3 9363
> -2 9399
> -1 9411
> 0 9355
> 1 9357
> 2 9363
> 3 9382
> 4 9387
> 5 9408
> 6 9429
> 7 9456
> 8 9487
> 9 9526
> 10 9487
> -5 9493
> -4 9439
> -3 9400
> -2 9378
> -1 9371
> 0 9369
> 1 9374
> 2 9305
> 3 9298
> 4 9298
> 5 9325
> 6 9381
> 7 9477
> 8 9508
> 9 9496
> 10 9517
> -5 9371
> -4 9369
> -3 9374
> -2 9305
> -1 9298
> 0 9298
> 1 9325
> 2 9381
> 3 9477
> 4 9508
> 5 9496
> 6 9517
> 7 9561
> 8 9570
> 9 9546
> 10 9544
> -5 9510
> -4 9506
> -3 9530
> -2 9441
> -1 9427
> 0 9393
> 1 9420
> 2 9444
> 3 9468
> 4 9484
> 5 9525
> 6 9542
> 7 9557
> 8 9548
> 9 9550
> 10 9593
> -5 9589
> -4 9598
> -3 9527
> -2 9417
> -1 9390
> 0 9374
> 1 9386
> 2 9407
> 3 9453
> 4 9447
> 5 9419
> 6 9386
> 7 9373
> 8 9364
> 9 9376
> 10 9389
> -5 9453
> -4 9447
> -3 9419
> -2 9386
> -1 9373
> 0 9364
> 1 9376
> 2 9389
> 3 9376
> 4 9375
> 5 9370
> 6 9391
> 7 9458
> 8 9446
> 9 9456
> 10 9463
> -5 9364
> -4 9376
> -3 9389
> -2 9376
> -1 9375
> 0 9370
> 1 9391
> 2 9458
> 3 9446
> 4 9456
> 5 9463
> 6 9500
> 7 9486
> 8 9474
> 9 9495
> 10 9531
> -5 9491
> -4 9441
> -3 9388
> -2 9380
> -1 9369
> 0 9354
> 1 9367
> 2 9369
> 3 9341
> 4 9305
> 5 9308
> 6 9324
> 7 9385
> 8 9451
> 9 9496
> 10 9527
> -5 9369
> -4 9354
> -3 9367
> -2 9369
> -1 9341
> 0 9305
> 1 9308
> 2 9324
> 3 9385
> 4 9451
> 5 9496
> 6 9527
> 7 9544
> 8 9543
> 9 9535
> 10 9536
> -5 9586
> -4 9583
> -3 9572
> -2 9533
> -1 9454
> 0 9392
> 1 9420
> 2 9451
> 3 9475
> 4 9514
> 5 9561
> 6 9542
> 7 9502
> 8 9461
> 9 9468
> 10 9463
> -5 9587
> -4 9562
> -3 9530
> -2 9445
> -1 9404
> 0 9395
> 1 9417
> 2 9449
> 3 9467
> 4 9470
> 5 9524
> 6 9512
> 7 9448
> 8 9398
> 9 9431
> 10 9467
> -5 9467
> -4 9470
> -3 9524
> -2 9512
> -1 9448
> 0 9398
> 1 9431
> 2 9467
> 3 9490
> 4 9517
> 5 9526
> 6 9574
> 7 9573
> 8 9562
> 9 9563
> 10 9566
> ",header=TRUE)
> 
> data<-matrix(c(dta$CR),ncol=71)
> A<-matrix(rep(-5:10,71))
> B<-matrix(data)
> 
> oodf<-data.frame(A,B)
> a<--5:10
> oodf<-data.frame(A,B)
> library(plotrix)
> std.error<-function(x) return(sd(x)/(sum(!is.na(x))))
> oomean<-as.vector(by(oodf$B,oodf$A,mean))
> oose<-as.vector(by(oodf$B,oodf$A,std.error))
> plot(-5:10,oomean,type="l",ylim=c(8890,9100),
> )
> A<-oomean-1.96*oose
> B<-oomean+1.96*oose
> lines(a,A,col="red")
> lines(a,B,col="red")
> 
> My Question:
> I wish to conduct a randomization test of significance (90 and 99
> percentile) of the reductions/decreases as displayed by the signal.
> 
> I am attempting using:
> x<-sample(8890:9500,1136,replace=T )
> 
> to generate the random numbers, where 8890, 9500 and 1136 are the
> minimum  and maximum of the signal and 1136 the length of sample data.
> Q1: Please how do I generate many samples as x above, say up to 5000
> or 10,000? I manually generated and stored as x1,x2, x3 up to x100.
> 
> Q2: Please how do I use this randomly generated numbers to test the
> statistical significance level of the signal generated by
> plot(-5:10,oomean,type="l",ylim=c(8890,9100),  )?
> 
> I wish to test for 90% and 99% percentile.
> 
> I am sorry that this is too long.
> 
> Many thanks for your kind contributions
> 
> Best
> Ogbos
> 
> 
> 
> 
> 
> 
> 
> On Sun, Feb 10, 2019 at 3:55 PM Ogbos Okike <giftedlife2...@gmail.com> wrote:
>> 
>> Dear Michael,
>> This is great! Thank you.
>> 
>> I have not really got any response other than yours.
>> 
>> I have long before now included what I have in a paper submitted to a 
>> journal.
>> 
>> I am awaiting the feedback of the reviewer. I will compare the
>> comments with your input here and determine the corrections to make
>> and probably return to the list for additional help.
>> 
>> Best wishes
>> Ogbos
>> 
>> On Fri, Feb 8, 2019 at 4:31 PM Meyners, Michael <meyner...@pg.com> wrote:
>>> 
>>> Ogbos,
>>> 
>>> You do not seem to have received a reply over the list yet, which might be 
>>> due to the fact that this seems rather a stats than an R question. Neither 
>>> got your attachment (Figure) through - see posting guide.
>>> 
>>> I'm not familiar with epoch analysis, so not sure what exactly you are 
>>> doing / trying to achieve, but some general thoughts:
>>> 
>>> * You do NOT want to restrict your re-randomizations in a way that "none of 
>>> the dates corresponds with the ones in the real event" - actually, as a 
>>> general principle, the true data must be an admissible re-randomization as 
>>> well. You seem to have excluded that (and a lot of other randomizations at 
>>> the same time which might have occurred, i.e. dates 1 and 2 reversed but 
>>> all others the same), thereby rendering the test invalid. Any restrictions 
>>> you have on your re-randomizations must've applied to the original 
>>> randomization as well.
>>> * If you have rather observational data (which I suspect, but not sure), 
>>> Edgington & Onghena (2007) would rather refer to this as a permutation test 
>>> - the difference being that you have to make strong assumptions (similar to 
>>> parametric tests) on the nature of the data, which are designed-in to be 
>>> true for randomization tests. It might be a merely linguistic 
>>> discrimination, but it is important to note which assumptions have to be 
>>> (implicitly) made.
>>> * I'm not sure what you mean by "mean differences" of the events - is that 
>>> two groups you are comparing? If so, that seems reasonable, but just make 
>>> sure the test statistic you use is reasonable and sensitive against the 
>>> alternatives you are mostly interested in. The randomization/permutation 
>>> test will never proof that, e.g., means are significantly different, but 
>>> only that there is SOME difference. By selecting the appropriate test 
>>> statistic, you can influence what will pop up more easily and what not, but 
>>> you can never be sure (unless you make strong assumptions about everything 
>>> else, like in many parametric tests).
>>> * For any test statistic, you would then determine the proportion of its 
>>> values among the 5000 samples where it is as large or larger than the one 
>>> observed (or as small or smaller, or either, depending on the nature of the 
>>> test statistic and whether you aim for a one- or a two-sided test). That is 
>>> your p value. If small enough, conclude significance. At least conceptually 
>>> important: The observed test statistic is always part of the 
>>> re-randomization (i.e. your 5000) - so you truly only do 4999 plus the one 
>>> you observed. Otherwise the test may be more or less liberal. Your p value 
>>> is hence no smaller than 1/n, where n is the total number of samples you 
>>> looked at (including the observed one), a p value of 0 is not possible in 
>>> randomization tests (nor in other tests, of course).
>>> 
>>> I hope this is helpful, but you will need to go through these and refer to 
>>> your own setup to check whether you adhered to the principles or not, which 
>>> is impossible for me to judge based on the information provided (and I 
>>> won't be able to look at excessive code to check either).
>>> 
>>> Michael
>>> 
>>>> -----Original Message-----
>>>> From: R-help <r-help-boun...@r-project.org> On Behalf Of Ogbos Okike
>>>> Sent: Montag, 28. Januar 2019 19:42
>>>> To: r-help <r-help@r-project.org>
>>>> Subject: [R] Randomization Test
>>>> 
>>>> Dear Contributors,
>>>> 
>>>> I conducting epoch analysis. I tried to test the significance of my result 
>>>> using
>>>> randomization test.
>>>> 
>>>> Since I have 71 events, I randomly selected another 71 events, making sure
>>>> that none of the dates in the random events corresponds with the ones in
>>>> the real event.
>>>> 
>>>> Following the code I found here
>>>> (https://www.uvm.edu/~dhowell/StatPages/R/RandomizationTestsWithR/R
>>>> andom2Sample/TwoIndependentSamplesR.html),
>>>> I combined these two data set and used them to generate another 5000
>>>> events. I then plotted the graph of the mean differences for the 5000
>>>> randomly generated events. On the graph, I indicated the region of the
>>>> mean difference between the real 71 epoch and the randomly selected 71
>>>> epoch.
>>>> 
>>>> Since the two tail test shows that the mean difference falls at the 
>>>> extreme of
>>>> the randomly selected events, I concluded that my result is statistically
>>>> significant.
>>>> 
>>>> 
>>>> 
>>>> I am attaching the graph to assistance you in you suggestions.
>>>> 
>>>> I can attach both my code and the real and randomly generated events if you
>>>> ask for it.
>>>> 
>>>> My request is that you help me to understand if I am on the right track or 
>>>> no.
>>>> This is the first time I am doing this and except the experts decide, I am 
>>>> not
>>>> quite sure whether I am right or not.
>>>> 
>>>> Many thanks for your kind concern.
>>>> 
>>>> Best
>>>> Ogbos
>>>> ______________________________________________
>>>> R-help@r-project.org mailing list -- To UNSUBSCRIBE and more, see
>>>> https://stat.ethz.ch/mailman/listinfo/r-help
>>>> PLEASE do read the posting guide http://www.R-project.org/posting-
>>>> guide.html
>>>> and provide commented, minimal, self-contained, reproducible code.
> 
> ______________________________________________
> R-help@r-project.org mailing list -- To UNSUBSCRIBE and more, see
> https://stat.ethz.ch/mailman/listinfo/r-help
> PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
> and provide commented, minimal, self-contained, reproducible code.

Ben Tupper
Bigelow Laboratory for Ocean Sciences
60 Bigelow Drive, P.O. Box 380
East Boothbay, Maine 04544
http://www.bigelow.org

Ecological Forecasting: https://eco.bigelow.org/

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