Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationTue, 09 Dec 2008 14:31:56 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/09/t122885834861hon6kkurw7nm3.htm/, Retrieved Sun, 19 May 2024 09:17:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=31807, Retrieved Sun, 19 May 2024 09:17:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact158
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 RMP     [Standard Deviation-Mean Plot] [] [2008-12-09 21:31:56] [d41d8cd98f00b204e9800998ecf8427e] [Current]
Feedback Forum
2008-12-13 10:10:29 [Angelique Van de Vijver] [reply
De student heeft in zijn berekening 4 als seizoenale periode genomen. Dit is juist als het over gegevens gaat van telkens 3 maanden, maar hier zijn de gegevens maandelijks dus de seizoenale periode moet hier 12 zijn. (werkloosheidsdata=maandelijks).
De bijgevoegde scatterplots zijn dus ook niet juist.
Ik heb hier de berekening gemaakt met de juiste seizoenale periode:
http://www.freestatistics.org/blog/date/2008/Dec/09/t1228837328pt3z9ccnurv30u2.htm
De student heeft geen uitleg gegeven bij zijn berekening.

Op de scatterplot zien we dat er een positief verband is tussen het gemiddelde en de standaarddeviatie. We zien in de tabel dat beta(=helling regressielijn) positief is => positief verband.
In de tabel zien we dat de p-waarde zeer klein is. Deze p-waarde is kleiner dan 0.05 dus we kunnen ervan uitgaan dat dit verband significant is tussen de standaarddeviatie en het gemiddelde=> niet aan toeval te wijten. Dit moet je dus oplossen met de lambda- parameter
In de tabel zien we dat we als lambda-waarde 0.5 (afgerond) moeten nemen bij de transformatie om zo tot een stationaire variantie te komen.
2008-12-13 10:53:07 [Julie Govaerts] [reply
de vorige student heeft al veel verbeterd
- De SMP is er om heteroskedasticiteit op te sporen, en om een geschikte transformatie te vinden zodat de tijdreeks homoskedastisch wordt. De ideale waarde van de Lambda zou tussen de –2 en 2 moeten liggen.

- de grafiek (SMP) verdeelt de gegevens in notches van 12 observaties = gaat voor elke notch het gemiddelde en de standaard deviatie berekenen
de x-as toont ons het gemiddelde
de y-as toont ons de standaard afwijking/fout
er is 1 outlier te zien maar deze ligt niet helemaal links of rechts dus heeft minder invloed --> er is een licht positief lineair verband zichtbaar (tussen het gemiddelde niveau en de standaardafwijking)

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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




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31807&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31807&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31807&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1255.27521.235563723778745.6
2226.77518.749644441073239.7
3201.1519.175939785748945.8
4328.22520.773280113325147.9
5395.6535.605383488081387.2
6367.0759.2279918364362121.8
7435.42550.1267310590534112.6
8318.57540.182199624543593.8
9232.7518.983940581449443.5
10236.231.339112942136771.1
11194.518.352474855815336.2
12185.6510.465658125507423.6
13210.923.204884543273850.4
14195.42513.431896118319830.3
15158.67510.510748466847324.8
16192.216.295602678841536.8
17162.2511.451200810395422
18189.337.208153228380879.2
19385.67521.292623918468447.6
20362.210.186592495367021.1000000000000
21312.1522.119900542271950.4
22342.42523.510476388197750.7
23269.52514.787241121994335.7
24243.97515.261798714437331.7
25299.07518.761907330190838.5
26285.72530.291734296118971.2
27240.57526.998688239739856.9
28293.526.04956813461657.9
29278.37526.624221428366160.5
30285.67543.87500237416986.7
31494.97532.597175235491469.1
3249427.544267401161161.6
33391.52517.125298050934331.8
34430.853.2791391321844114
35351.47521.748007571576145.3
36339.57521.668006368837944.1
37394.425.557647257393155.7
38378.67533.118914535352879.2
39382.22550.9641295422575115.5
40532.47532.134547867780376.7
41484.62537.717138014435887.3
42396.9758.4511833490937817.8
43432.232.932456128668475.8
44396.0518.095026941123939
45354.37524.752154788354652.6
46448.337.071372602948887.7
47409.9534.134098298719879.9
48362.7522.965118477087546.4
49425.87531.210294775922968.7
50380.17543.894067556637692.5
51329.6758.946274829968821.1000000000000
52382.629.474621852253468
53346.62541.018481606872489.2
54280.6757.6921496778642317.9000000000000
55301.82521.839165887612751.4
56306.437.034668442780379.9
57255.38.8438302410965220
58299.02524.067180280761352
59306.92549.4749347313027117
60286.7510.151026220699723.2
61294.52533.663865395009779.6
62297.756.5566972161565131.1
63252.7758.360372798705418.9000000000000
64277.17517.022999148211238.1
65293.5547.4511327578173109
66278.37514.552977931223133.1
67362.12517.650188856402338.8000000000000
68419.57557.2201814630701128.5
69444.8520.056669713589137.7000000000000
70518.12534.622475840605874.8
71506.87548.3408298784096109.6
7247312.402956636759427
73519.27534.591749979824275
7449546.6258154531014108.2
75437.7523.667910765422454.2
76455.1528.604253762916767.1
77435.145.1209485715892104.8
78401.0517.267792756072440.2
79480.136.963315147138383.9
80491.72555.6947259621591123.6
81550.92548.2306524249189106.2
82816.724.331461115189953.9
83802.42544.70774541396694.6
84729.815.076471735787532.7000000000000
85765.5558.1483447743786128.4
86721.4562.343484021989135.1
87699.411.244257793795626.2000000000000
88752.02567.3821131062737154.1
89682.5553.7506279033092130.2
90622.124.396857721162955.7
91645.07553.6908666969222120.9
92603.844.420490767212398.1
93565.27514.576779479706833.7000000000000

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 255.275 & 21.2355637237787 & 45.6 \tabularnewline
2 & 226.775 & 18.7496444410732 & 39.7 \tabularnewline
3 & 201.15 & 19.1759397857489 & 45.8 \tabularnewline
4 & 328.225 & 20.7732801133251 & 47.9 \tabularnewline
5 & 395.65 & 35.6053834880813 & 87.2 \tabularnewline
6 & 367.075 & 9.22799183643621 & 21.8 \tabularnewline
7 & 435.425 & 50.1267310590534 & 112.6 \tabularnewline
8 & 318.575 & 40.1821996245435 & 93.8 \tabularnewline
9 & 232.75 & 18.9839405814494 & 43.5 \tabularnewline
10 & 236.2 & 31.3391129421367 & 71.1 \tabularnewline
11 & 194.5 & 18.3524748558153 & 36.2 \tabularnewline
12 & 185.65 & 10.4656581255074 & 23.6 \tabularnewline
13 & 210.9 & 23.2048845432738 & 50.4 \tabularnewline
14 & 195.425 & 13.4318961183198 & 30.3 \tabularnewline
15 & 158.675 & 10.5107484668473 & 24.8 \tabularnewline
16 & 192.2 & 16.2956026788415 & 36.8 \tabularnewline
17 & 162.25 & 11.4512008103954 & 22 \tabularnewline
18 & 189.3 & 37.2081532283808 & 79.2 \tabularnewline
19 & 385.675 & 21.2926239184684 & 47.6 \tabularnewline
20 & 362.2 & 10.1865924953670 & 21.1000000000000 \tabularnewline
21 & 312.15 & 22.1199005422719 & 50.4 \tabularnewline
22 & 342.425 & 23.5104763881977 & 50.7 \tabularnewline
23 & 269.525 & 14.7872411219943 & 35.7 \tabularnewline
24 & 243.975 & 15.2617987144373 & 31.7 \tabularnewline
25 & 299.075 & 18.7619073301908 & 38.5 \tabularnewline
26 & 285.725 & 30.2917342961189 & 71.2 \tabularnewline
27 & 240.575 & 26.9986882397398 & 56.9 \tabularnewline
28 & 293.5 & 26.049568134616 & 57.9 \tabularnewline
29 & 278.375 & 26.6242214283661 & 60.5 \tabularnewline
30 & 285.675 & 43.875002374169 & 86.7 \tabularnewline
31 & 494.975 & 32.5971752354914 & 69.1 \tabularnewline
32 & 494 & 27.5442674011611 & 61.6 \tabularnewline
33 & 391.525 & 17.1252980509343 & 31.8 \tabularnewline
34 & 430.8 & 53.2791391321844 & 114 \tabularnewline
35 & 351.475 & 21.7480075715761 & 45.3 \tabularnewline
36 & 339.575 & 21.6680063688379 & 44.1 \tabularnewline
37 & 394.4 & 25.5576472573931 & 55.7 \tabularnewline
38 & 378.675 & 33.1189145353528 & 79.2 \tabularnewline
39 & 382.225 & 50.9641295422575 & 115.5 \tabularnewline
40 & 532.475 & 32.1345478677803 & 76.7 \tabularnewline
41 & 484.625 & 37.7171380144358 & 87.3 \tabularnewline
42 & 396.975 & 8.45118334909378 & 17.8 \tabularnewline
43 & 432.2 & 32.9324561286684 & 75.8 \tabularnewline
44 & 396.05 & 18.0950269411239 & 39 \tabularnewline
45 & 354.375 & 24.7521547883546 & 52.6 \tabularnewline
46 & 448.3 & 37.0713726029488 & 87.7 \tabularnewline
47 & 409.95 & 34.1340982987198 & 79.9 \tabularnewline
48 & 362.75 & 22.9651184770875 & 46.4 \tabularnewline
49 & 425.875 & 31.2102947759229 & 68.7 \tabularnewline
50 & 380.175 & 43.8940675566376 & 92.5 \tabularnewline
51 & 329.675 & 8.9462748299688 & 21.1000000000000 \tabularnewline
52 & 382.6 & 29.4746218522534 & 68 \tabularnewline
53 & 346.625 & 41.0184816068724 & 89.2 \tabularnewline
54 & 280.675 & 7.69214967786423 & 17.9000000000000 \tabularnewline
55 & 301.825 & 21.8391658876127 & 51.4 \tabularnewline
56 & 306.4 & 37.0346684427803 & 79.9 \tabularnewline
57 & 255.3 & 8.84383024109652 & 20 \tabularnewline
58 & 299.025 & 24.0671802807613 & 52 \tabularnewline
59 & 306.925 & 49.4749347313027 & 117 \tabularnewline
60 & 286.75 & 10.1510262206997 & 23.2 \tabularnewline
61 & 294.525 & 33.6638653950097 & 79.6 \tabularnewline
62 & 297.7 & 56.5566972161565 & 131.1 \tabularnewline
63 & 252.775 & 8.3603727987054 & 18.9000000000000 \tabularnewline
64 & 277.175 & 17.0229991482112 & 38.1 \tabularnewline
65 & 293.55 & 47.4511327578173 & 109 \tabularnewline
66 & 278.375 & 14.5529779312231 & 33.1 \tabularnewline
67 & 362.125 & 17.6501888564023 & 38.8000000000000 \tabularnewline
68 & 419.575 & 57.2201814630701 & 128.5 \tabularnewline
69 & 444.85 & 20.0566697135891 & 37.7000000000000 \tabularnewline
70 & 518.125 & 34.6224758406058 & 74.8 \tabularnewline
71 & 506.875 & 48.3408298784096 & 109.6 \tabularnewline
72 & 473 & 12.4029566367594 & 27 \tabularnewline
73 & 519.275 & 34.5917499798242 & 75 \tabularnewline
74 & 495 & 46.6258154531014 & 108.2 \tabularnewline
75 & 437.75 & 23.6679107654224 & 54.2 \tabularnewline
76 & 455.15 & 28.6042537629167 & 67.1 \tabularnewline
77 & 435.1 & 45.1209485715892 & 104.8 \tabularnewline
78 & 401.05 & 17.2677927560724 & 40.2 \tabularnewline
79 & 480.1 & 36.9633151471383 & 83.9 \tabularnewline
80 & 491.725 & 55.6947259621591 & 123.6 \tabularnewline
81 & 550.925 & 48.2306524249189 & 106.2 \tabularnewline
82 & 816.7 & 24.3314611151899 & 53.9 \tabularnewline
83 & 802.425 & 44.707745413966 & 94.6 \tabularnewline
84 & 729.8 & 15.0764717357875 & 32.7000000000000 \tabularnewline
85 & 765.55 & 58.1483447743786 & 128.4 \tabularnewline
86 & 721.45 & 62.343484021989 & 135.1 \tabularnewline
87 & 699.4 & 11.2442577937956 & 26.2000000000000 \tabularnewline
88 & 752.025 & 67.3821131062737 & 154.1 \tabularnewline
89 & 682.55 & 53.7506279033092 & 130.2 \tabularnewline
90 & 622.1 & 24.3968577211629 & 55.7 \tabularnewline
91 & 645.075 & 53.6908666969222 & 120.9 \tabularnewline
92 & 603.8 & 44.4204907672123 & 98.1 \tabularnewline
93 & 565.275 & 14.5767794797068 & 33.7000000000000 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31807&T=1

[TABLE]
[ROW][C]Standard Deviation-Mean Plot[/C][/ROW]
[ROW][C]Section[/C][C]Mean[/C][C]Standard Deviation[/C][C]Range[/C][/ROW]
[ROW][C]1[/C][C]255.275[/C][C]21.2355637237787[/C][C]45.6[/C][/ROW]
[ROW][C]2[/C][C]226.775[/C][C]18.7496444410732[/C][C]39.7[/C][/ROW]
[ROW][C]3[/C][C]201.15[/C][C]19.1759397857489[/C][C]45.8[/C][/ROW]
[ROW][C]4[/C][C]328.225[/C][C]20.7732801133251[/C][C]47.9[/C][/ROW]
[ROW][C]5[/C][C]395.65[/C][C]35.6053834880813[/C][C]87.2[/C][/ROW]
[ROW][C]6[/C][C]367.075[/C][C]9.22799183643621[/C][C]21.8[/C][/ROW]
[ROW][C]7[/C][C]435.425[/C][C]50.1267310590534[/C][C]112.6[/C][/ROW]
[ROW][C]8[/C][C]318.575[/C][C]40.1821996245435[/C][C]93.8[/C][/ROW]
[ROW][C]9[/C][C]232.75[/C][C]18.9839405814494[/C][C]43.5[/C][/ROW]
[ROW][C]10[/C][C]236.2[/C][C]31.3391129421367[/C][C]71.1[/C][/ROW]
[ROW][C]11[/C][C]194.5[/C][C]18.3524748558153[/C][C]36.2[/C][/ROW]
[ROW][C]12[/C][C]185.65[/C][C]10.4656581255074[/C][C]23.6[/C][/ROW]
[ROW][C]13[/C][C]210.9[/C][C]23.2048845432738[/C][C]50.4[/C][/ROW]
[ROW][C]14[/C][C]195.425[/C][C]13.4318961183198[/C][C]30.3[/C][/ROW]
[ROW][C]15[/C][C]158.675[/C][C]10.5107484668473[/C][C]24.8[/C][/ROW]
[ROW][C]16[/C][C]192.2[/C][C]16.2956026788415[/C][C]36.8[/C][/ROW]
[ROW][C]17[/C][C]162.25[/C][C]11.4512008103954[/C][C]22[/C][/ROW]
[ROW][C]18[/C][C]189.3[/C][C]37.2081532283808[/C][C]79.2[/C][/ROW]
[ROW][C]19[/C][C]385.675[/C][C]21.2926239184684[/C][C]47.6[/C][/ROW]
[ROW][C]20[/C][C]362.2[/C][C]10.1865924953670[/C][C]21.1000000000000[/C][/ROW]
[ROW][C]21[/C][C]312.15[/C][C]22.1199005422719[/C][C]50.4[/C][/ROW]
[ROW][C]22[/C][C]342.425[/C][C]23.5104763881977[/C][C]50.7[/C][/ROW]
[ROW][C]23[/C][C]269.525[/C][C]14.7872411219943[/C][C]35.7[/C][/ROW]
[ROW][C]24[/C][C]243.975[/C][C]15.2617987144373[/C][C]31.7[/C][/ROW]
[ROW][C]25[/C][C]299.075[/C][C]18.7619073301908[/C][C]38.5[/C][/ROW]
[ROW][C]26[/C][C]285.725[/C][C]30.2917342961189[/C][C]71.2[/C][/ROW]
[ROW][C]27[/C][C]240.575[/C][C]26.9986882397398[/C][C]56.9[/C][/ROW]
[ROW][C]28[/C][C]293.5[/C][C]26.049568134616[/C][C]57.9[/C][/ROW]
[ROW][C]29[/C][C]278.375[/C][C]26.6242214283661[/C][C]60.5[/C][/ROW]
[ROW][C]30[/C][C]285.675[/C][C]43.875002374169[/C][C]86.7[/C][/ROW]
[ROW][C]31[/C][C]494.975[/C][C]32.5971752354914[/C][C]69.1[/C][/ROW]
[ROW][C]32[/C][C]494[/C][C]27.5442674011611[/C][C]61.6[/C][/ROW]
[ROW][C]33[/C][C]391.525[/C][C]17.1252980509343[/C][C]31.8[/C][/ROW]
[ROW][C]34[/C][C]430.8[/C][C]53.2791391321844[/C][C]114[/C][/ROW]
[ROW][C]35[/C][C]351.475[/C][C]21.7480075715761[/C][C]45.3[/C][/ROW]
[ROW][C]36[/C][C]339.575[/C][C]21.6680063688379[/C][C]44.1[/C][/ROW]
[ROW][C]37[/C][C]394.4[/C][C]25.5576472573931[/C][C]55.7[/C][/ROW]
[ROW][C]38[/C][C]378.675[/C][C]33.1189145353528[/C][C]79.2[/C][/ROW]
[ROW][C]39[/C][C]382.225[/C][C]50.9641295422575[/C][C]115.5[/C][/ROW]
[ROW][C]40[/C][C]532.475[/C][C]32.1345478677803[/C][C]76.7[/C][/ROW]
[ROW][C]41[/C][C]484.625[/C][C]37.7171380144358[/C][C]87.3[/C][/ROW]
[ROW][C]42[/C][C]396.975[/C][C]8.45118334909378[/C][C]17.8[/C][/ROW]
[ROW][C]43[/C][C]432.2[/C][C]32.9324561286684[/C][C]75.8[/C][/ROW]
[ROW][C]44[/C][C]396.05[/C][C]18.0950269411239[/C][C]39[/C][/ROW]
[ROW][C]45[/C][C]354.375[/C][C]24.7521547883546[/C][C]52.6[/C][/ROW]
[ROW][C]46[/C][C]448.3[/C][C]37.0713726029488[/C][C]87.7[/C][/ROW]
[ROW][C]47[/C][C]409.95[/C][C]34.1340982987198[/C][C]79.9[/C][/ROW]
[ROW][C]48[/C][C]362.75[/C][C]22.9651184770875[/C][C]46.4[/C][/ROW]
[ROW][C]49[/C][C]425.875[/C][C]31.2102947759229[/C][C]68.7[/C][/ROW]
[ROW][C]50[/C][C]380.175[/C][C]43.8940675566376[/C][C]92.5[/C][/ROW]
[ROW][C]51[/C][C]329.675[/C][C]8.9462748299688[/C][C]21.1000000000000[/C][/ROW]
[ROW][C]52[/C][C]382.6[/C][C]29.4746218522534[/C][C]68[/C][/ROW]
[ROW][C]53[/C][C]346.625[/C][C]41.0184816068724[/C][C]89.2[/C][/ROW]
[ROW][C]54[/C][C]280.675[/C][C]7.69214967786423[/C][C]17.9000000000000[/C][/ROW]
[ROW][C]55[/C][C]301.825[/C][C]21.8391658876127[/C][C]51.4[/C][/ROW]
[ROW][C]56[/C][C]306.4[/C][C]37.0346684427803[/C][C]79.9[/C][/ROW]
[ROW][C]57[/C][C]255.3[/C][C]8.84383024109652[/C][C]20[/C][/ROW]
[ROW][C]58[/C][C]299.025[/C][C]24.0671802807613[/C][C]52[/C][/ROW]
[ROW][C]59[/C][C]306.925[/C][C]49.4749347313027[/C][C]117[/C][/ROW]
[ROW][C]60[/C][C]286.75[/C][C]10.1510262206997[/C][C]23.2[/C][/ROW]
[ROW][C]61[/C][C]294.525[/C][C]33.6638653950097[/C][C]79.6[/C][/ROW]
[ROW][C]62[/C][C]297.7[/C][C]56.5566972161565[/C][C]131.1[/C][/ROW]
[ROW][C]63[/C][C]252.775[/C][C]8.3603727987054[/C][C]18.9000000000000[/C][/ROW]
[ROW][C]64[/C][C]277.175[/C][C]17.0229991482112[/C][C]38.1[/C][/ROW]
[ROW][C]65[/C][C]293.55[/C][C]47.4511327578173[/C][C]109[/C][/ROW]
[ROW][C]66[/C][C]278.375[/C][C]14.5529779312231[/C][C]33.1[/C][/ROW]
[ROW][C]67[/C][C]362.125[/C][C]17.6501888564023[/C][C]38.8000000000000[/C][/ROW]
[ROW][C]68[/C][C]419.575[/C][C]57.2201814630701[/C][C]128.5[/C][/ROW]
[ROW][C]69[/C][C]444.85[/C][C]20.0566697135891[/C][C]37.7000000000000[/C][/ROW]
[ROW][C]70[/C][C]518.125[/C][C]34.6224758406058[/C][C]74.8[/C][/ROW]
[ROW][C]71[/C][C]506.875[/C][C]48.3408298784096[/C][C]109.6[/C][/ROW]
[ROW][C]72[/C][C]473[/C][C]12.4029566367594[/C][C]27[/C][/ROW]
[ROW][C]73[/C][C]519.275[/C][C]34.5917499798242[/C][C]75[/C][/ROW]
[ROW][C]74[/C][C]495[/C][C]46.6258154531014[/C][C]108.2[/C][/ROW]
[ROW][C]75[/C][C]437.75[/C][C]23.6679107654224[/C][C]54.2[/C][/ROW]
[ROW][C]76[/C][C]455.15[/C][C]28.6042537629167[/C][C]67.1[/C][/ROW]
[ROW][C]77[/C][C]435.1[/C][C]45.1209485715892[/C][C]104.8[/C][/ROW]
[ROW][C]78[/C][C]401.05[/C][C]17.2677927560724[/C][C]40.2[/C][/ROW]
[ROW][C]79[/C][C]480.1[/C][C]36.9633151471383[/C][C]83.9[/C][/ROW]
[ROW][C]80[/C][C]491.725[/C][C]55.6947259621591[/C][C]123.6[/C][/ROW]
[ROW][C]81[/C][C]550.925[/C][C]48.2306524249189[/C][C]106.2[/C][/ROW]
[ROW][C]82[/C][C]816.7[/C][C]24.3314611151899[/C][C]53.9[/C][/ROW]
[ROW][C]83[/C][C]802.425[/C][C]44.707745413966[/C][C]94.6[/C][/ROW]
[ROW][C]84[/C][C]729.8[/C][C]15.0764717357875[/C][C]32.7000000000000[/C][/ROW]
[ROW][C]85[/C][C]765.55[/C][C]58.1483447743786[/C][C]128.4[/C][/ROW]
[ROW][C]86[/C][C]721.45[/C][C]62.343484021989[/C][C]135.1[/C][/ROW]
[ROW][C]87[/C][C]699.4[/C][C]11.2442577937956[/C][C]26.2000000000000[/C][/ROW]
[ROW][C]88[/C][C]752.025[/C][C]67.3821131062737[/C][C]154.1[/C][/ROW]
[ROW][C]89[/C][C]682.55[/C][C]53.7506279033092[/C][C]130.2[/C][/ROW]
[ROW][C]90[/C][C]622.1[/C][C]24.3968577211629[/C][C]55.7[/C][/ROW]
[ROW][C]91[/C][C]645.075[/C][C]53.6908666969222[/C][C]120.9[/C][/ROW]
[ROW][C]92[/C][C]603.8[/C][C]44.4204907672123[/C][C]98.1[/C][/ROW]
[ROW][C]93[/C][C]565.275[/C][C]14.5767794797068[/C][C]33.7000000000000[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31807&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31807&T=1

As an alternative you can also use a QR Code:  

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

Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1255.27521.235563723778745.6
2226.77518.749644441073239.7
3201.1519.175939785748945.8
4328.22520.773280113325147.9
5395.6535.605383488081387.2
6367.0759.2279918364362121.8
7435.42550.1267310590534112.6
8318.57540.182199624543593.8
9232.7518.983940581449443.5
10236.231.339112942136771.1
11194.518.352474855815336.2
12185.6510.465658125507423.6
13210.923.204884543273850.4
14195.42513.431896118319830.3
15158.67510.510748466847324.8
16192.216.295602678841536.8
17162.2511.451200810395422
18189.337.208153228380879.2
19385.67521.292623918468447.6
20362.210.186592495367021.1000000000000
21312.1522.119900542271950.4
22342.42523.510476388197750.7
23269.52514.787241121994335.7
24243.97515.261798714437331.7
25299.07518.761907330190838.5
26285.72530.291734296118971.2
27240.57526.998688239739856.9
28293.526.04956813461657.9
29278.37526.624221428366160.5
30285.67543.87500237416986.7
31494.97532.597175235491469.1
3249427.544267401161161.6
33391.52517.125298050934331.8
34430.853.2791391321844114
35351.47521.748007571576145.3
36339.57521.668006368837944.1
37394.425.557647257393155.7
38378.67533.118914535352879.2
39382.22550.9641295422575115.5
40532.47532.134547867780376.7
41484.62537.717138014435887.3
42396.9758.4511833490937817.8
43432.232.932456128668475.8
44396.0518.095026941123939
45354.37524.752154788354652.6
46448.337.071372602948887.7
47409.9534.134098298719879.9
48362.7522.965118477087546.4
49425.87531.210294775922968.7
50380.17543.894067556637692.5
51329.6758.946274829968821.1000000000000
52382.629.474621852253468
53346.62541.018481606872489.2
54280.6757.6921496778642317.9000000000000
55301.82521.839165887612751.4
56306.437.034668442780379.9
57255.38.8438302410965220
58299.02524.067180280761352
59306.92549.4749347313027117
60286.7510.151026220699723.2
61294.52533.663865395009779.6
62297.756.5566972161565131.1
63252.7758.360372798705418.9000000000000
64277.17517.022999148211238.1
65293.5547.4511327578173109
66278.37514.552977931223133.1
67362.12517.650188856402338.8000000000000
68419.57557.2201814630701128.5
69444.8520.056669713589137.7000000000000
70518.12534.622475840605874.8
71506.87548.3408298784096109.6
7247312.402956636759427
73519.27534.591749979824275
7449546.6258154531014108.2
75437.7523.667910765422454.2
76455.1528.604253762916767.1
77435.145.1209485715892104.8
78401.0517.267792756072440.2
79480.136.963315147138383.9
80491.72555.6947259621591123.6
81550.92548.2306524249189106.2
82816.724.331461115189953.9
83802.42544.70774541396694.6
84729.815.076471735787532.7000000000000
85765.5558.1483447743786128.4
86721.4562.343484021989135.1
87699.411.244257793795626.2000000000000
88752.02567.3821131062737154.1
89682.5553.7506279033092130.2
90622.124.396857721162955.7
91645.07553.6908666969222120.9
92603.844.420490767212398.1
93565.27514.576779479706833.7000000000000







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha11.3988138306721
beta0.0451463114689898
S.D.0.00902850802371377
T-STAT5.00041771579657
p-value2.76487935973633e-06

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 11.3988138306721 \tabularnewline
beta & 0.0451463114689898 \tabularnewline
S.D. & 0.00902850802371377 \tabularnewline
T-STAT & 5.00041771579657 \tabularnewline
p-value & 2.76487935973633e-06 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31807&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]11.3988138306721[/C][/ROW]
[ROW][C]beta[/C][C]0.0451463114689898[/C][/ROW]
[ROW][C]S.D.[/C][C]0.00902850802371377[/C][/ROW]
[ROW][C]T-STAT[/C][C]5.00041771579657[/C][/ROW]
[ROW][C]p-value[/C][C]2.76487935973633e-06[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31807&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31807&T=2

As an alternative you can also use a QR Code:  

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

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha11.3988138306721
beta0.0451463114689898
S.D.0.00902850802371377
T-STAT5.00041771579657
p-value2.76487935973633e-06







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-0.636117585886464
beta0.655170590189666
S.D.0.136993828551452
T-STAT4.78248251849973
p-value6.64079295005886e-06
Lambda0.344829409810334

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -0.636117585886464 \tabularnewline
beta & 0.655170590189666 \tabularnewline
S.D. & 0.136993828551452 \tabularnewline
T-STAT & 4.78248251849973 \tabularnewline
p-value & 6.64079295005886e-06 \tabularnewline
Lambda & 0.344829409810334 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31807&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.636117585886464[/C][/ROW]
[ROW][C]beta[/C][C]0.655170590189666[/C][/ROW]
[ROW][C]S.D.[/C][C]0.136993828551452[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.78248251849973[/C][/ROW]
[ROW][C]p-value[/C][C]6.64079295005886e-06[/C][/ROW]
[ROW][C]Lambda[/C][C]0.344829409810334[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31807&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31807&T=3

As an alternative you can also use a QR Code:  

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

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-0.636117585886464
beta0.655170590189666
S.D.0.136993828551452
T-STAT4.78248251849973
p-value6.64079295005886e-06
Lambda0.344829409810334



Parameters (Session):
par1 = 4 ;
Parameters (R input):
par1 = 4 ;
R code (references can be found in the software module):
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))
bitmap(file='test1.png')
plot(arr.mean,arr.sd,main='Standard Deviation-Mean Plot',xlab='mean',ylab='standard deviation')
dev.off()
bitmap(file='test2.png')
plot(arr.mean,arr.range,main='Range-Mean Plot',xlab='mean',ylab='range')
dev.off()
load(file='createtable')
a<-table.start()
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)
table.save(a,file='mytable.tab')
a<-table.start()
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)$coefficients[2,4])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lnlm1$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)
table.save(a,file='mytable2.tab')