Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software ModuleRscript (source code is shown below)
Title produced by softwareR console
Date of computationThu, 06 Aug 2009 16:17:49 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Aug/07/t12495970717j57dfsiiljzmx8.htm/, Retrieved Wed, 24 Apr 2024 16:53:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=42528, Retrieved Wed, 24 Apr 2024 16:53:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordstest
Estimated Impact326
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
F   P   [Univariate Data Series] [Herproducering ti...] [2008-12-03 14:38:00] [6fea0e9a9b3b29a63badf2c274e82506]
- RMP     [Standard Deviation-Mean Plot] [SMP airline data:...] [2008-12-14 21:46:29] [82d201ca7b4e7cd2c6f885d29b5b6937]
- RMPD        [R console] [testing reuse fun...] [2009-08-06 22:17:49] [256f657a32c6b2b7628dddcfa9a822d0] [Current]
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Dataseries X:
235.1
280.7
264.6
240.7
201.4
240.8
241.1
223.8
206.1
174.7
203.3
220.5
299.5
347.4
338.3
327.7
351.6
396.6
438.8
395.6
363.5
378.8
357
369
464.8
479.1
431.3
366.5
326.3
355.1
331.6
261.3
249
205.5
235.6
240.9
264.9
253.8
232.3
193.8
177
213.2
207.2
180.6
188.6
175.4
199
179.6
225.8
234
200.2
183.6
178.2
203.2
208.5
191.8
172.8
148
159.4
154.5
213.2
196.4
182.8
176.4
153.6
173.2
171
151.2
161.9
157.2
201.7
236.4
356.1
398.3
403.7
384.6
365.8
368.1
367.9
347
343.3
292.9
311.5
300.9
366.9
356.9
329.7
316.2
269
289.3
266.2
253.6
233.8
228.4
253.6
260.1
306.6
309.2
309.5
271
279.9
317.9
298.4
246.7
227.3
209.1
259.9
266
320.6
308.5
282.2
262.7
263.5
313.1
284.3
252.6
250.3
246.5
312.7
333.2
446.4
511.6
515.5
506.4
483.2
522.3
509.8
460.7
405.8
375
378.5
406.8
467.8
469.8
429.8
355.8
332.7
378
360.5
334.7
319.5
323.1
363.6
352.1
411.9
388.6
416.4
360.7
338
417.2
388.4
371.1
331.5
353.7
396.7
447
533.5
565.4
542.3
488.7
467.1
531.3
496.1
444
403.4
386.3
394.1
404.1
462.1
448.1
432.3
386.3
395.2
421.9
382.9
384.2
345.5
323.4
372.6
376
462.7
487
444.2
399.3
394.9
455.4
414
375.5
347
339.4
385.8
378.8
451.8
446.1
422.5
383.1
352.8
445.3
367.5
355.1
326.2
319.8
331.8
340.9
394.1
417.2
369.9
349.2
321.4
405.7
342.9
316.5
284.2
270.9
288.8
278.8
324.4
310.9
299
273
279.3
359.2
305
282.1
250.3
246.5
257.9
266.5
315.9
318.4
295.4
266.4
245.8
362.8
324.9
294.2
289.5
295.2
290.3
272
307.4
328.7
292.9
249.1
230.4
361.5
321.7
277.2
260.7
251
257.6
241.8
287.5
292.3
274.7
254.2
230
339
318.2
287
295.8
284
271
262.7
340.6
379.4
373.3
355.2
338.4
466.9
451
422
429.2
425.9
460.7
463.6
541.4
544.2
517.5
469.4
439.4
549
533
506.1
484
457
481.5
469.5
544.7
541.2
521.5
469.7
434.4
542.6
517.3
485.7
465.8
447
426.6
411.6
467.5
484.5
451.2
417.4
379.9
484.7
455
420.8
416.5
376.3
405.6
405.8
500.8
514
475.5
430.1
414.4
538
526
488.5
520.2
504.4
568.5
610.6
818
830.9
835.9
782
762.3
856.9
820.9
769.6
752.2
724.4
723.1
719.5
817.4
803.3
752.5
689
630.4
765.5
757.7
732.2
702.6
683.3
709.5
702.2
784.8
810.9
755.6
656.8
615.1
745.3
694.1
675.7
643.7
622.1
634.6
588
689.7
673.9
647.9
568.8
545.7
632.6
643.8
593.1
579.7
546
562.9
572.5
> par1 = '12'


> {
+     par1 <- as.numeric(par1)
+     (n <- length(RCx))
+     (np <- floor(n/par1))
+     arr <- array(NA, dim = c(par1, np))
+     j <- 0
+     k .... [TRUNCATED] 

Parameters (Session):
par1 = '12' ;
Parameters (R input):
R code (body of R function):
{
par1 <- as.numeric(par1)
(n <- length(x))
(np <- floor(n/par1))
arr <- array(NA, dim = c(par1, np))
j <- 0
k <- 1
for (i in 1:(np * par1)) {
j = j + 1
arr[j, k] <- x[i]
if (j == par1) {
j = 0
k = k + 1
}
}
arr
arr.mean <- array(NA, dim = np)
arr.sd <- array(NA, dim = np)
arr.range <- array(NA, dim = np)
for (j in 1:np) {
arr.mean[j] <- mean(arr[, j], na.rm = TRUE)
arr.sd[j] <- sd(arr[, j], na.rm = TRUE)
arr.range[j] <- max(arr[, j], na.rm = TRUE) - min(arr[,
j], na.rm = TRUE)
}
arr.mean
arr.sd
arr.range
(lm1 <- lm(arr.sd ~ arr.mean))
(lnlm1 <- lm(log(arr.sd) ~ log(arr.mean)))
(lm2 <- lm(arr.range ~ arr.mean))

plot(arr.mean, arr.sd, main = "Standard Deviation-Mean Plot",
xlab = "mean", ylab = "standard deviation")


plot(arr.mean, arr.range, main = "Range-Mean Plot", xlab = "mean",
ylab = "range")

source("https://automated.biganalytics.eu/cretabc")
a <- table.start(a)
a <- table.row.start(a)
a <- table.element(a, "Standard Deviation-Mean Plot", 4,
TRUE)
a <- table.row.end(a)
a <- table.row.start(a)
a <- table.element(a, "Section", header = TRUE)
a <- table.element(a, "Mean", header = TRUE)
a <- table.element(a, "Standard Deviation", header = TRUE)
a <- table.element(a, "Range", header = TRUE)
a <- table.row.end(a)
for (j in 1:np) {
a <- table.row.start(a)
a <- table.element(a, j, header = TRUE)
a <- table.element(a, arr.mean[j])
a <- table.element(a, arr.sd[j])
a <- table.element(a, arr.range[j])
a <- table.row.end(a)
}
a <- table.end(a)
a <- table.start(a)
a <- table.row.start(a)
a <- table.element(a, "Regression: S.E.(k) = alpha + beta * Mean(k)",
2, TRUE)
a <- table.row.end(a)
a <- table.row.start(a)
a <- table.element(a, "alpha", header = TRUE)
a <- table.element(a, lm1$coefficients[[1]])
a <- table.row.end(a)
a <- table.row.start(a)
a <- table.element(a, "beta", header = TRUE)
a <- table.element(a, lm1$coefficients[[2]])
a <- table.row.end(a)
a <- table.row.start(a)
a <- table.element(a, "S.D.", header = TRUE)
a <- table.element(a, summary(lm1)$coefficients[2, 2])
a <- table.row.end(a)
a <- table.row.start(a)
a <- table.element(a, "T-STAT", header = TRUE)
a <- table.element(a, summary(lm1)$coefficients[2, 3])
a <- table.row.end(a)
a <- table.row.start(a)
a <- table.element(a, "p-value", header = TRUE)
a <- table.element(a, summary(lm1)$coefficients[2, 4])
a <- table.row.end(a)
a <- table.end(a)
a <- table.start(a)
a <- table.row.start(a)
a <- table.element(a, "Regression: ln S.E.(k) = alpha + beta * ln Mean(k)",
2, TRUE)
a <- table.row.end(a)
a <- table.row.start(a)
a <- table.element(a, "alpha", header = TRUE)
a <- table.element(a, lnlm1$coefficients[[1]])
a <- table.row.end(a)
a <- table.row.start(a)
a <- table.element(a, "beta", header = TRUE)
a <- table.element(a, lnlm1$coefficients[[2]])
a <- table.row.end(a)
a <- table.row.start(a)
a <- table.element(a, "S.D.", header = TRUE)
a <- table.element(a, summary(lnlm1)$coefficients[2, 2])
a <- table.row.end(a)
a <- table.row.start(a)
a <- table.element(a, "T-STAT", header = TRUE)
a <- table.element(a, summary(lnlm1)$coefficients[2, 3])
a <- table.row.end(a)
a <- table.row.start(a)
a <- table.element(a, "p-value", header = TRUE)
a <- table.element(a, summary(lnlm1)$coefficients[2, 4])
a <- table.row.end(a)
a <- table.row.start(a)
a <- table.element(a, "Lambda", header = TRUE)
a <- table.element(a, 1 - lnlm1$coefficients[[2]])
a <- table.row.end(a)
a <- table.end(a)
}