Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_qqplot.wasp
Title produced by softwareQQPlot and Histogram
Date of computationMon, 07 Apr 2025 05:05:16 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2025/Apr/07/t174399524309g97tecr38mffc.htm/, Retrieved Tue, 19 May 2026 21:17:03 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Tue, 19 May 2026 21:17:03 +0200
QR Codes:

Original text written by user:
IsPrivate?This computation is private
User-defined keywords
Estimated Impact0
Dataseries X:
259
233
253
419
301
452
255
234
387
349
227
281
405
252
301
338
652
379
435
329
358
396
368
319
360
330
386
349
397
353
259
395
345
272
266
300
273
284
531
326
346
226
265
230
205
195
263
219
228
405
202
197
255
289
216
206
190
225
207
212
223
366
251
294
227
211
293
251
760
268
394
209
230
236
299
244
286
372
284
273
325
346
239
247
300
313
241
230
285
313
260
426
253
289
421
330
255
278
257
234
267
403
225
283
216
222
192
227
219
188
206
255
233
215
214
214
200
200
205
237
215
212
216
222
217
293
217
208
230
220
266
236
216
243
242
258
254
321
364
291
302
246
366
266
384
349
358
257
243
319
289
287
241
331
263
298
270
327
306
329
299
528
337
390
313
376
438
240
267
230
317
521
295
320
338
310
332
309
315
313
238
351
447
338
251
280
250
382
289
265
313
249
326
290
296
367
476
368
252
499
368
209
216
224
205
223
225
225
217
253
234
265
219
219
197
217
196
156
193
299
211
197
244
247
238
227
211
220
235
221
229
234
99
204
259
210
274
323
261
252
295
294
228
257
293
336
350
251
308
464
375
314
371
370
335
381
337
332
268
228
269
214
245
202
223
254
279
240
231
238
218
227
224
5
351
262
250
214
214
305
214
199
235
230
307
206
237
238
212
210
201
288
362
298
366
328
301
240
250
416
289
423
255
484
265
363
720
248
313
291
392
468
404
352
232
351
18
254
279
309
221
270
250
261
561
326
317
513
244
258
242
297
365
283
323
276
391
312
317
255
279
310
234
264
320
362
262
295
280
359
260
311
291
294
306
288
341
282
287
239
232
253
261
250
276
245
255
361
258
263
303
257
284
279
311
277
277
286
281
308
286
468
408
330
296
373
273
355
349
267
304
268
278
279
450
337
265
289
304
299
291
275
322
283
249
266
236
236
268
247
257
255
236
246
237
247
255
257
515
237
290
274
314
264
269
239
270
257
249
299
296
265
245
263
316
409
262
247
316
230
275
433
318
310
345
397
276
336
327
356
374
396
567
394
426
342
311
253
314
433
318
336
Dataseries Y:
238
224
239
234
277
265
269
374
295
263
81
304
252
252
279
289
397
330
294
397
319
247
301
261
404
272
364
312
296
328
263
311
319
322
373
323
367
379
452
344
380
441
310
300
310
344
308
300
442
297
378
304
394
289
309
351
351
267
300
335
344
310
326
295
255
233
246
236
231
234
221
233
255
251
245
298
234
247
302
263
293
231
239
239
254
265
256
338
241
284
315
241
272
269
277
352
291
357
327
325
385
379
259
360
345
295
255
257
304
277
323
272
444
310
317
265
214
243
250
243
297
252
248
243
254
260
264
202
251
244
248
267
235
252
260
221
270
245
229
233
241
240
277
276
231
253
245
247
240
266
245
250
226
255
235
236
247
251
114
241
215
223
267
296
248
293
252
369
233
235
264
256
261
237
300
317
302
465
376
234
326
304
276
257
288
281
399
370
330
366
301
325
310
330
357
366
301
325
310
330
307
299
345
306
364
330
359
338
396
323
353
355
636
471
270
287
314
294
301
244
253
253
276
262
418
261
261
253
294
265
337
429
320
321
265
224
232
221
236
230
247
306
291
280
325
234
221
277
286
239
266
215
290
301
292
210
203
276
222
190
193
212
220
191
249
299
226
252
213
220
351
243
265
279
267
227
200
245
245
244
228
248
219
293
243
238
229
288
245
244
350
226
127
214
232
256
224
217
248
243
325
301
256
235
276
231
215
212
322
264
242
214
273
257
253
353
200
256
282
276
203
250
294
250
254
369
262
280
271
286
249
265
324
254
271
303
207
226
265
275
217
226
252
315
249
249
242
280
234
250
269
281
255
346
217
227
335
236
244
219
241
354
281
276
351
264
411
345
325
229
365
354
271
294
417
286
262
228
286
291
227
215
245
244
275
260
404
251
288
373
290
436
256
255
203
220
279
258
220
219
199
227
217
223
221
219
214
206
252
283
223
234
212
286
236
241
242
244
214
214
274
236
250
222
202
249
226
225
186
213
264
213
218
381
312
305
318
328
252
283
275
273
288
369
253
305
288
309
275
223
268
263
266
273
269
315
354
303
273
288
308
284
285
317
337
294
278
310
240
243
217
272
236
282
212
242
260
244
229
230
229
235
257
236
320
498
274
317
265
325
249
337
313
255
213
299
292
258
266
249
323
248
268
241
280
260
276
350
344
252
292
256
235
381
243
288
269
283
220
249
267
238
252
356
312
284
231
338
314
399
313
310
250
336
299
291
234
219
251
347
272
298
373
422
283
324
371




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center







Descriptive Statistics
mean of X290.764069264069
standard deviation of X79.052267005843
mean of Y278.776965265082
standard deviation of Y55.7573364440079

\begin{tabular}{lllllllll}
\hline
Descriptive Statistics \tabularnewline
mean of X & 290.764069264069 \tabularnewline
standard deviation of X & 79.052267005843 \tabularnewline
mean of Y & 278.776965265082 \tabularnewline
standard deviation of Y & 55.7573364440079 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=1

[TABLE]
[ROW][C]Descriptive Statistics[/C][/ROW]
[ROW][C]mean of X[/C][C]290.764069264069[/C][/ROW]
[ROW][C]standard deviation of X[/C][C]79.052267005843[/C][/ROW]
[ROW][C]mean of Y[/C][C]278.776965265082[/C][/ROW]
[ROW][C]standard deviation of Y[/C][C]55.7573364440079[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Descriptive Statistics
mean of X290.764069264069
standard deviation of X79.052267005843
mean of Y278.776965265082
standard deviation of Y55.7573364440079



Parameters (Session):
par1 = 0 ;
Parameters (R input):
par1 = 0 ;
R code (references can be found in the software module):
par1 <- '0'
library(car)
plot.qqline <- function(x,y,a=0.25, ...) {
y <- quantile(y[!is.na(y)],c(a, 1-a))
x <- quantile(x[!is.na(x)],c(a, 1-a))
points(x,y,...)
slope <- diff(y)/diff(x)
int <- y[1]-slope*x[1]
abline(int, slope, ...)
}
if(par1 == '') par1 <- 0
par1 <- as.numeric(par1)
if (par1 < 0) par1 <- 0
bitmap(file='test1.png')
if(par1 > 0) {
myhist<-hist(x, breaks=par1, col=2,main='Histogram (series X)')
} else {
myhist <- hist(x, col=2)
}
dev.off()
bitmap(file='test1a.png')
if(par1 > 0) {
myhist<-hist(y, breaks=par1, col=2,main='Histogram (series Y)')
} else {
myhist <- hist(y, col=2)
}
dev.off()
bitmap(file='test2.png')
qqPlot(x,main='Normal Q-Q Plot (series X)',ylab='Sample Quantiles',xlab='Normal Quantiles')
dev.off()
bitmap(file='test2a.png')
qqPlot(y,main='Normal Q-Q Plot (series Y)',ylab='Sample Quantiles',xlab='Normal Quantiles')
dev.off()
bitmap(file='test3.png')
qqplot(x,y,main='Q-Q Plot (series X vs Y)',ylab='Sample Quantiles of series Y',xlab='Sample Quantiles of series X')
plot.qqline(x,y)
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Descriptive Statistics',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'mean of X',header=TRUE)
a<-table.element(a,mean(x))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'standard deviation of X',header=TRUE)
a<-table.element(a,sd(x))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'mean of Y',header=TRUE)
a<-table.element(a,mean(y))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'standard deviation of Y',header=TRUE)
a<-table.element(a,sd(y))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')