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Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationTue, 09 Dec 2008 03:58:42 -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/t1228820379i7zczpztlssj9s0.htm/, Retrieved Fri, 17 May 2024 03:03:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=31284, Retrieved Fri, 17 May 2024 03:03:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact151
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Standard Deviation-Mean Plot] [] [2008-12-04 19:23:52] [03c8f0b5f6fe0fafd3d60ad5379ae7bd]
F    D    [Standard Deviation-Mean Plot] [] [2008-12-09 10:58:42] [ba8414dd214a21fbd6c7bde748ac585f] [Current]
Feedback Forum
2008-12-13 13:05:26 [Ken Wright] [reply
juist, maar om lambda te mogen gebruiken moet je toch eerst rekening houden met de p value, als deze lager als 0.005 is, dan moet je de lambda gebruiken om de variantie onder controle te houden.Beta geeft hier een positieve waarde, er is dus een positief verband tussen de SD en het gemiddelde, dus als het gemiddelde stijgt, dan stijgt de SD ook

Post a new message
Dataseries X:
41130
43144
46195
40033
31710
42297
33889
23495
27060
31160
22214
16905
34388
29982
36374
37630
31023
39875
28866
20205
26082
28209
22813
15296
27796
31813
42513
41222
29094
28948
23230
21308
20649
23666
19206
16361
30472
25051
39393
32091
31007
32998
22809
20439
19900
29161
22149
15485
36181
39545
37955
31854
29788
31435
22504
19540
21893
29556
21811
13729
31332
31434
38812
36154
32820
32301
30358
20724
21056
30077
22411
16758
37243
41795
37755
42557
21507
43211
31476
21440
25307
34050
21970
17327
33607
34259
43309
40189
32663
36262
35718
25002
28764
33085
25403
17468
39457
39408
49419
37128
34698
40939
32695
27523
26875
28460
26511
19576
40659
35685
44559
37584
34670
42953
24058
35359
30919
35346
28309
17417
45465
44651
47947
43458
37744
39730
29903
24284
37981
32001
32273
23314
43522
33000
43685
45838
39741
42522
37318
26920
28651
35646
26312
20442
46402
45329
42185
49341
50472
33020
29567
22870
25730
32609
23536
15135
36776
29982
38062
34226
24906
30233
27405
20784
22886
25425
20838
15655
37158
36364
43213
31635
30113
29985
20919
19429
21427
26064
20109
15369
35466
25954
33504
28115
28501
28618
21434
20177
21484
25642
23515
12941
36190
37785
38407
33326
30304
27576
27048
17291
21018
26792
19426
13927
35647
31746
31277
31583
25607
28151
24947
18077
23429
26313
18862
14753
36409
33163
34122
35225
28249
30374
26311
22069
23651
28628
23187
14727
43080
32519
39657
33614
28671
34243
27336
22916
24537
26128
22602
15744
41086
39690
43129
37863
35953
29133
24693
22205
21725
27192
21790
13253
37702
30364
32609
30212
29965
28352
25814
22414
20506
28806
22228
13971
36845
35338
35022
34777
26887
23970
22780
17351
21382
24561
17409
11514
31514
27071
29462
26105
22397
23843
21705
18089
20764
25316
17704
15548
28029
29383
36438
32034
22679
24319
18004
17537
20366
22782
19169
13807
29743
25591
29096
26482
22405
27044
17970
18730
19684
19785
18479
10698
31956
29506
34506
27165
26736
23691
18157
17328
18205
20995
17382
9367
31124
26551
30651
25859
25100
25778
20418
18688
20424
24776
19814
12738




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=31284&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=31284&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31284&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
133269.33333333339462.7880797587529290
229228.58333333337343.319567140724579
327150.58238.6122673001826152
426746.256865.1693235425123908
527982.58333333338048.8453091487625816
628686.41666666676815.8339509534522054
731303.16666666679412.9927212176825884
832144.08333333337071.952970050525841
933557.41666666678213.5713576354629843
1033959.83333333337813.0583213830827142
1136562.58333333338230.2909863319524633
1235299.758236.8278660813725396
133468311795.32017369635337
1427264.83333333336861.807843330222407
1527648.758516.1002505414827844
1625445.91666666676118.5719435819222525
1727424.16666666678192.9171831342824480
18258666308.0058943882120894
1928009.58333333336391.8932955357721682
2029253.91666666677727.8754984599127336
2129809.33333333339534.1464349161529876
2226911.91666666676314.1373766022923731
23256538306.2242051039425331
2423293.16666666674863.9772508688515966
2523712.256639.8206865848422631
2622142.255608.3585043786519045
2722916.16666666677303.0689045251725139
2823493.41666666675265.9772719589218386

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 33269.3333333333 & 9462.78807975875 & 29290 \tabularnewline
2 & 29228.5833333333 & 7343.3195671407 & 24579 \tabularnewline
3 & 27150.5 & 8238.61226730018 & 26152 \tabularnewline
4 & 26746.25 & 6865.16932354251 & 23908 \tabularnewline
5 & 27982.5833333333 & 8048.84530914876 & 25816 \tabularnewline
6 & 28686.4166666667 & 6815.83395095345 & 22054 \tabularnewline
7 & 31303.1666666667 & 9412.99272121768 & 25884 \tabularnewline
8 & 32144.0833333333 & 7071.9529700505 & 25841 \tabularnewline
9 & 33557.4166666667 & 8213.57135763546 & 29843 \tabularnewline
10 & 33959.8333333333 & 7813.05832138308 & 27142 \tabularnewline
11 & 36562.5833333333 & 8230.29098633195 & 24633 \tabularnewline
12 & 35299.75 & 8236.82786608137 & 25396 \tabularnewline
13 & 34683 & 11795.320173696 & 35337 \tabularnewline
14 & 27264.8333333333 & 6861.8078433302 & 22407 \tabularnewline
15 & 27648.75 & 8516.10025054148 & 27844 \tabularnewline
16 & 25445.9166666667 & 6118.57194358192 & 22525 \tabularnewline
17 & 27424.1666666667 & 8192.91718313428 & 24480 \tabularnewline
18 & 25866 & 6308.00589438821 & 20894 \tabularnewline
19 & 28009.5833333333 & 6391.89329553577 & 21682 \tabularnewline
20 & 29253.9166666667 & 7727.87549845991 & 27336 \tabularnewline
21 & 29809.3333333333 & 9534.14643491615 & 29876 \tabularnewline
22 & 26911.9166666667 & 6314.13737660229 & 23731 \tabularnewline
23 & 25653 & 8306.22420510394 & 25331 \tabularnewline
24 & 23293.1666666667 & 4863.97725086885 & 15966 \tabularnewline
25 & 23712.25 & 6639.82068658484 & 22631 \tabularnewline
26 & 22142.25 & 5608.35850437865 & 19045 \tabularnewline
27 & 22916.1666666667 & 7303.06890452517 & 25139 \tabularnewline
28 & 23493.4166666667 & 5265.97727195892 & 18386 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31284&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]33269.3333333333[/C][C]9462.78807975875[/C][C]29290[/C][/ROW]
[ROW][C]2[/C][C]29228.5833333333[/C][C]7343.3195671407[/C][C]24579[/C][/ROW]
[ROW][C]3[/C][C]27150.5[/C][C]8238.61226730018[/C][C]26152[/C][/ROW]
[ROW][C]4[/C][C]26746.25[/C][C]6865.16932354251[/C][C]23908[/C][/ROW]
[ROW][C]5[/C][C]27982.5833333333[/C][C]8048.84530914876[/C][C]25816[/C][/ROW]
[ROW][C]6[/C][C]28686.4166666667[/C][C]6815.83395095345[/C][C]22054[/C][/ROW]
[ROW][C]7[/C][C]31303.1666666667[/C][C]9412.99272121768[/C][C]25884[/C][/ROW]
[ROW][C]8[/C][C]32144.0833333333[/C][C]7071.9529700505[/C][C]25841[/C][/ROW]
[ROW][C]9[/C][C]33557.4166666667[/C][C]8213.57135763546[/C][C]29843[/C][/ROW]
[ROW][C]10[/C][C]33959.8333333333[/C][C]7813.05832138308[/C][C]27142[/C][/ROW]
[ROW][C]11[/C][C]36562.5833333333[/C][C]8230.29098633195[/C][C]24633[/C][/ROW]
[ROW][C]12[/C][C]35299.75[/C][C]8236.82786608137[/C][C]25396[/C][/ROW]
[ROW][C]13[/C][C]34683[/C][C]11795.320173696[/C][C]35337[/C][/ROW]
[ROW][C]14[/C][C]27264.8333333333[/C][C]6861.8078433302[/C][C]22407[/C][/ROW]
[ROW][C]15[/C][C]27648.75[/C][C]8516.10025054148[/C][C]27844[/C][/ROW]
[ROW][C]16[/C][C]25445.9166666667[/C][C]6118.57194358192[/C][C]22525[/C][/ROW]
[ROW][C]17[/C][C]27424.1666666667[/C][C]8192.91718313428[/C][C]24480[/C][/ROW]
[ROW][C]18[/C][C]25866[/C][C]6308.00589438821[/C][C]20894[/C][/ROW]
[ROW][C]19[/C][C]28009.5833333333[/C][C]6391.89329553577[/C][C]21682[/C][/ROW]
[ROW][C]20[/C][C]29253.9166666667[/C][C]7727.87549845991[/C][C]27336[/C][/ROW]
[ROW][C]21[/C][C]29809.3333333333[/C][C]9534.14643491615[/C][C]29876[/C][/ROW]
[ROW][C]22[/C][C]26911.9166666667[/C][C]6314.13737660229[/C][C]23731[/C][/ROW]
[ROW][C]23[/C][C]25653[/C][C]8306.22420510394[/C][C]25331[/C][/ROW]
[ROW][C]24[/C][C]23293.1666666667[/C][C]4863.97725086885[/C][C]15966[/C][/ROW]
[ROW][C]25[/C][C]23712.25[/C][C]6639.82068658484[/C][C]22631[/C][/ROW]
[ROW][C]26[/C][C]22142.25[/C][C]5608.35850437865[/C][C]19045[/C][/ROW]
[ROW][C]27[/C][C]22916.1666666667[/C][C]7303.06890452517[/C][C]25139[/C][/ROW]
[ROW][C]28[/C][C]23493.4166666667[/C][C]5265.97727195892[/C][C]18386[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31284&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31284&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
133269.33333333339462.7880797587529290
229228.58333333337343.319567140724579
327150.58238.6122673001826152
426746.256865.1693235425123908
527982.58333333338048.8453091487625816
628686.41666666676815.8339509534522054
731303.16666666679412.9927212176825884
832144.08333333337071.952970050525841
933557.41666666678213.5713576354629843
1033959.83333333337813.0583213830827142
1136562.58333333338230.2909863319524633
1235299.758236.8278660813725396
133468311795.32017369635337
1427264.83333333336861.807843330222407
1527648.758516.1002505414827844
1625445.91666666676118.5719435819222525
1727424.16666666678192.9171831342824480
18258666308.0058943882120894
1928009.58333333336391.8932955357721682
2029253.91666666677727.8754984599127336
2129809.33333333339534.1464349161529876
2226911.91666666676314.1373766022923731
23256538306.2242051039425331
2423293.16666666674863.9772508688515966
2523712.256639.8206865848422631
2622142.255608.3585043786519045
2722916.16666666677303.0689045251725139
2823493.41666666675265.9772719589218386







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha506.118016860322
beta0.246842227502621
S.D.0.0533161035192437
T-STAT4.62978746024693
p-value8.93151045255893e-05

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 506.118016860322 \tabularnewline
beta & 0.246842227502621 \tabularnewline
S.D. & 0.0533161035192437 \tabularnewline
T-STAT & 4.62978746024693 \tabularnewline
p-value & 8.93151045255893e-05 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31284&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]506.118016860322[/C][/ROW]
[ROW][C]beta[/C][C]0.246842227502621[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0533161035192437[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.62978746024693[/C][/ROW]
[ROW][C]p-value[/C][C]8.93151045255893e-05[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31284&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31284&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)
alpha506.118016860322
beta0.246842227502621
S.D.0.0533161035192437
T-STAT4.62978746024693
p-value8.93151045255893e-05







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-1.02498401847211
beta0.969436938702847
S.D.0.194823808303634
T-STAT4.97596750183619
p-value3.58046827585562e-05
Lambda0.0305630612971532

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.02498401847211 \tabularnewline
beta & 0.969436938702847 \tabularnewline
S.D. & 0.194823808303634 \tabularnewline
T-STAT & 4.97596750183619 \tabularnewline
p-value & 3.58046827585562e-05 \tabularnewline
Lambda & 0.0305630612971532 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31284&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.02498401847211[/C][/ROW]
[ROW][C]beta[/C][C]0.969436938702847[/C][/ROW]
[ROW][C]S.D.[/C][C]0.194823808303634[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.97596750183619[/C][/ROW]
[ROW][C]p-value[/C][C]3.58046827585562e-05[/C][/ROW]
[ROW][C]Lambda[/C][C]0.0305630612971532[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31284&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31284&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-1.02498401847211
beta0.969436938702847
S.D.0.194823808303634
T-STAT4.97596750183619
p-value3.58046827585562e-05
Lambda0.0305630612971532



Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ;
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')