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*The author of this computation has been verified*

R Software Module

rwasp_structuraltimeseries.wasp

Title produced by software

Structural Time Series Models

Date of computation

Fri, 04 Dec 2009 08:38:11 -0700

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/04/t1259941160prd4mse9qhm2pvx.htm/, Retrieved Sat, 27 Apr 2024 19:16:43 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63783, Retrieved Sat, 27 Apr 2024 19:16:43 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

100

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]
- RMP   [Structural Time Series Models] [] [2009-11-27 15:02:30] [b98453cac15ba1066b407e146608df68]
-    D    [Structural Time Series Models] [] [2009-12-04 12:35:38] [1f74ef2f756548f1f3a7b6136ea56d7f]
-   PD        [Structural Time Series Models] [ws9 Structural Ti...] [2009-12-04 15:38:11] [ac4f1d4b47349b2602192853b2bc5b72] [Current]

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Dataseries X:

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Histogram

Boxplots

9,3
9,3
8,7
8,2
8,3
8,5
8,6
8,5
8,2
8,1
7,9
8,6
8,7
8,7
8,5
8,4
8,5
8,7
8,7
8,6
8,5
8,3
8
8,2
8,1
8,1
8
7,9
7,9
8
8
7,9
8
7,7
7,2
7,5
7,3
7
7
7
7,2
7,3
7,1
6,8
6,4
6,1
6,5
7,7
7,9
7,5
6,9
6,6
6,9
7,7
8
8
7,7
7,3
7,4
8,1
8,3

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63783&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63783&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63783&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 Output	view raw output of R engine
Computing time	3 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Structural Time Series Model
t	Observed	Level	Slope	Seasonal	Stand. Residuals
1	9.3	9.3	0	0	0
2	9.3	9.3	0	0	0
3	8.7	8.77525230598956	-0.0076745553976964	-0.0752523059895582	-1.97088465287498
4	8.2	8.25227981210922	-0.00993735738546997	-0.052279812109215	-1.94953585912716
5	8.3	8.28214163216692	-0.00976178289552904	0.0178583678330857	0.150511606241261
6	8.5	8.48399129646074	-0.00874923325063979	0.0160087035392632	0.800213212939008
7	8.6	8.60159861615121	-0.00814027592986616	-0.00159861615121014	0.477817965309843
8	8.5	8.52286633642054	-0.00847838428486613	-0.0228663364205374	-0.266942509635764
9	8.2	8.2409379298869	-0.00978098535056802	-0.0409379298869055	-1.03403735512353
10	8.1	8.11312599318411	-0.0103405433559001	-0.0131259931841093	-0.446323798175294
11	7.9	7.92789423457948	-0.0111657666971488	-0.0278942345794744	-0.661329766165156
12	8.6	8.524502767595	-0.00831144125436691	0.0754972324049972	2.29820304191118
13	8.7	8.61233532731105	-0.012167484684343	0.0876646726889449	0.426479468888753
14	8.7	8.64697890568697	-0.0112364642374091	0.053021094313027	0.156250978450350
15	8.5	8.5414998315855	-0.0123895402946268	-0.0414998315854959	-0.35019598916982
16	8.4	8.46170941023772	-0.0126545537920266	-0.0617094102377202	-0.254804525035108
17	8.5	8.4932025633073	-0.0125500502235609	0.00679743669269767	0.166823768911631
18	8.7	8.67075545093492	-0.0120542832336588	0.0292445490650771	0.718216130902494
19	8.7	8.70713914010227	-0.0119189153143273	-0.00713914010226971	0.182991857196360
20	8.6	8.61864935694136	-0.012134911536214	-0.0186493569413626	-0.289273523363328
21	8.5	8.53834411827887	-0.0123275704592064	-0.0383441182788657	-0.257541197498903
22	8.3	8.31741955181045	-0.012943739849171	-0.0174195518104463	-0.78816999941086
23	8	8.11865880983634	-0.0135061293569174	-0.118658809836342	-0.702266477523946
24	8.2	8.12305790757048	-0.0135103088672294	0.0769420924295213	0.0675869056758669
25	8.1	8.03590561762649	-0.0123969428762549	0.064094382373513	-0.295275808183713
26	8.1	8.02453126597765	-0.0123866328200543	0.0754687340223495	0.00366062845961385
27	8	8.02335656546262	-0.0122723147413111	-0.0233565654626200	0.0415232736116278
28	7.9	7.97356668589169	-0.0124421967098636	-0.0735666858916876	-0.141689227325010
29	7.9	7.9294054700144	-0.0125125259591850	-0.0294054700143992	-0.119854608939092
30	8	7.9684984754914	-0.0124084863298355	0.031501524508603	0.194940090506568
31	8	7.99431405307434	-0.0123241433193786	0.00568594692565916	0.144373966838509
32	7.9	7.92856970049737	-0.0124480476790977	-0.0285697004973683	-0.201766120028321
33	8	7.98919102969673	-0.0122709626530984	0.0108089703032685	0.276004804148458
34	7.7	7.74282660249692	-0.0128739875002979	-0.0428266024969196	-0.88447287872128
35	7.2	7.38545840629785	-0.0135799508315851	-0.185458406297851	-1.30129562410372
36	7.5	7.38506995222871	-0.0136012899151014	0.114930047771286	0.0498450948200217
37	7.3	7.25700557979932	-0.0127453413194778	0.0429944202006818	-0.444270438266987
38	7	6.97393055634415	-0.0143657446755038	0.0260694436558471	-0.992453666237136
39	7	6.99392138534081	-0.0140791708184529	0.00607861465918763	0.127358032673715
40	7	7.05009140078826	-0.0137416967681016	-0.0500914007882632	0.264930560610493
41	7.2	7.2041689772245	-0.0133346411833875	-0.00416897722449316	0.634115094862683
42	7.3	7.26878015878369	-0.0131915724319570	0.0312198412163093	0.294440074528764
43	7.1	7.12777865036264	-0.0134366216164051	-0.0277786503626356	-0.482720136809865
44	6.8	6.89613654726884	-0.0138933880354078	-0.0961365472688436	-0.824109094208999
45	6.4	6.44159726325472	-0.0148917002820362	-0.0415972632547197	-1.66446254292099
46	6.1	6.13019169630231	-0.0155658547521039	-0.0301916963023118	-1.12024668920766
47	6.5	6.56784204306559	-0.0149794427572034	-0.0678420430655875	1.71118825389689
48	7.7	7.38388762251882	-0.0164708802091240	0.316112377481180	3.14249305286777
49	7.9	7.73901752778758	-0.0179678727048104	0.160982472212419	1.42236376118628
50	7.5	7.53985705828932	-0.0187061261454646	-0.039857058289324	-0.672434601146582
51	6.9	7.02530961969086	-0.0221005128758527	-0.125309619690864	-1.84228285775196
52	6.6	6.73933288466165	-0.0233604449147042	-0.139332884661648	-0.993893188274412
53	6.9	6.88126093732315	-0.0229222509090924	0.0187390626768471	0.624450050849338
54	7.7	7.51025364709912	-0.0217273056181553	0.189746352900883	2.46267021661483
55	8	7.92012530155855	-0.0209587591221130	0.0798746984414455	1.63012339275497
56	8	8.00804481067862	-0.0207455461472738	-0.0080448106786205	0.411219467997272
57	7.7	7.74922543206893	-0.0212502099453783	-0.0492254320689253	-0.899308834759664
58	7.3	7.47439277422635	-0.0217454481387501	-0.174392774226348	-0.957896051554856
59	7.4	7.58921952411478	-0.0216367556764171	-0.189219524114784	0.515519067666413
60	8.1	7.79947334592646	-0.0219982787698112	0.300526654073542	0.877003018098422
61	8.3	8.03382385406515	-0.0225663073694065	0.266176145934855	0.974579542652016

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 9.3 & 9.3 & 0 & 0 & 0 \tabularnewline
2 & 9.3 & 9.3 & 0 & 0 & 0 \tabularnewline
3 & 8.7 & 8.77525230598956 & -0.0076745553976964 & -0.0752523059895582 & -1.97088465287498 \tabularnewline
4 & 8.2 & 8.25227981210922 & -0.00993735738546997 & -0.052279812109215 & -1.94953585912716 \tabularnewline
5 & 8.3 & 8.28214163216692 & -0.00976178289552904 & 0.0178583678330857 & 0.150511606241261 \tabularnewline
6 & 8.5 & 8.48399129646074 & -0.00874923325063979 & 0.0160087035392632 & 0.800213212939008 \tabularnewline
7 & 8.6 & 8.60159861615121 & -0.00814027592986616 & -0.00159861615121014 & 0.477817965309843 \tabularnewline
8 & 8.5 & 8.52286633642054 & -0.00847838428486613 & -0.0228663364205374 & -0.266942509635764 \tabularnewline
9 & 8.2 & 8.2409379298869 & -0.00978098535056802 & -0.0409379298869055 & -1.03403735512353 \tabularnewline
10 & 8.1 & 8.11312599318411 & -0.0103405433559001 & -0.0131259931841093 & -0.446323798175294 \tabularnewline
11 & 7.9 & 7.92789423457948 & -0.0111657666971488 & -0.0278942345794744 & -0.661329766165156 \tabularnewline
12 & 8.6 & 8.524502767595 & -0.00831144125436691 & 0.0754972324049972 & 2.29820304191118 \tabularnewline
13 & 8.7 & 8.61233532731105 & -0.012167484684343 & 0.0876646726889449 & 0.426479468888753 \tabularnewline
14 & 8.7 & 8.64697890568697 & -0.0112364642374091 & 0.053021094313027 & 0.156250978450350 \tabularnewline
15 & 8.5 & 8.5414998315855 & -0.0123895402946268 & -0.0414998315854959 & -0.35019598916982 \tabularnewline
16 & 8.4 & 8.46170941023772 & -0.0126545537920266 & -0.0617094102377202 & -0.254804525035108 \tabularnewline
17 & 8.5 & 8.4932025633073 & -0.0125500502235609 & 0.00679743669269767 & 0.166823768911631 \tabularnewline
18 & 8.7 & 8.67075545093492 & -0.0120542832336588 & 0.0292445490650771 & 0.718216130902494 \tabularnewline
19 & 8.7 & 8.70713914010227 & -0.0119189153143273 & -0.00713914010226971 & 0.182991857196360 \tabularnewline
20 & 8.6 & 8.61864935694136 & -0.012134911536214 & -0.0186493569413626 & -0.289273523363328 \tabularnewline
21 & 8.5 & 8.53834411827887 & -0.0123275704592064 & -0.0383441182788657 & -0.257541197498903 \tabularnewline
22 & 8.3 & 8.31741955181045 & -0.012943739849171 & -0.0174195518104463 & -0.78816999941086 \tabularnewline
23 & 8 & 8.11865880983634 & -0.0135061293569174 & -0.118658809836342 & -0.702266477523946 \tabularnewline
24 & 8.2 & 8.12305790757048 & -0.0135103088672294 & 0.0769420924295213 & 0.0675869056758669 \tabularnewline
25 & 8.1 & 8.03590561762649 & -0.0123969428762549 & 0.064094382373513 & -0.295275808183713 \tabularnewline
26 & 8.1 & 8.02453126597765 & -0.0123866328200543 & 0.0754687340223495 & 0.00366062845961385 \tabularnewline
27 & 8 & 8.02335656546262 & -0.0122723147413111 & -0.0233565654626200 & 0.0415232736116278 \tabularnewline
28 & 7.9 & 7.97356668589169 & -0.0124421967098636 & -0.0735666858916876 & -0.141689227325010 \tabularnewline
29 & 7.9 & 7.9294054700144 & -0.0125125259591850 & -0.0294054700143992 & -0.119854608939092 \tabularnewline
30 & 8 & 7.9684984754914 & -0.0124084863298355 & 0.031501524508603 & 0.194940090506568 \tabularnewline
31 & 8 & 7.99431405307434 & -0.0123241433193786 & 0.00568594692565916 & 0.144373966838509 \tabularnewline
32 & 7.9 & 7.92856970049737 & -0.0124480476790977 & -0.0285697004973683 & -0.201766120028321 \tabularnewline
33 & 8 & 7.98919102969673 & -0.0122709626530984 & 0.0108089703032685 & 0.276004804148458 \tabularnewline
34 & 7.7 & 7.74282660249692 & -0.0128739875002979 & -0.0428266024969196 & -0.88447287872128 \tabularnewline
35 & 7.2 & 7.38545840629785 & -0.0135799508315851 & -0.185458406297851 & -1.30129562410372 \tabularnewline
36 & 7.5 & 7.38506995222871 & -0.0136012899151014 & 0.114930047771286 & 0.0498450948200217 \tabularnewline
37 & 7.3 & 7.25700557979932 & -0.0127453413194778 & 0.0429944202006818 & -0.444270438266987 \tabularnewline
38 & 7 & 6.97393055634415 & -0.0143657446755038 & 0.0260694436558471 & -0.992453666237136 \tabularnewline
39 & 7 & 6.99392138534081 & -0.0140791708184529 & 0.00607861465918763 & 0.127358032673715 \tabularnewline
40 & 7 & 7.05009140078826 & -0.0137416967681016 & -0.0500914007882632 & 0.264930560610493 \tabularnewline
41 & 7.2 & 7.2041689772245 & -0.0133346411833875 & -0.00416897722449316 & 0.634115094862683 \tabularnewline
42 & 7.3 & 7.26878015878369 & -0.0131915724319570 & 0.0312198412163093 & 0.294440074528764 \tabularnewline
43 & 7.1 & 7.12777865036264 & -0.0134366216164051 & -0.0277786503626356 & -0.482720136809865 \tabularnewline
44 & 6.8 & 6.89613654726884 & -0.0138933880354078 & -0.0961365472688436 & -0.824109094208999 \tabularnewline
45 & 6.4 & 6.44159726325472 & -0.0148917002820362 & -0.0415972632547197 & -1.66446254292099 \tabularnewline
46 & 6.1 & 6.13019169630231 & -0.0155658547521039 & -0.0301916963023118 & -1.12024668920766 \tabularnewline
47 & 6.5 & 6.56784204306559 & -0.0149794427572034 & -0.0678420430655875 & 1.71118825389689 \tabularnewline
48 & 7.7 & 7.38388762251882 & -0.0164708802091240 & 0.316112377481180 & 3.14249305286777 \tabularnewline
49 & 7.9 & 7.73901752778758 & -0.0179678727048104 & 0.160982472212419 & 1.42236376118628 \tabularnewline
50 & 7.5 & 7.53985705828932 & -0.0187061261454646 & -0.039857058289324 & -0.672434601146582 \tabularnewline
51 & 6.9 & 7.02530961969086 & -0.0221005128758527 & -0.125309619690864 & -1.84228285775196 \tabularnewline
52 & 6.6 & 6.73933288466165 & -0.0233604449147042 & -0.139332884661648 & -0.993893188274412 \tabularnewline
53 & 6.9 & 6.88126093732315 & -0.0229222509090924 & 0.0187390626768471 & 0.624450050849338 \tabularnewline
54 & 7.7 & 7.51025364709912 & -0.0217273056181553 & 0.189746352900883 & 2.46267021661483 \tabularnewline
55 & 8 & 7.92012530155855 & -0.0209587591221130 & 0.0798746984414455 & 1.63012339275497 \tabularnewline
56 & 8 & 8.00804481067862 & -0.0207455461472738 & -0.0080448106786205 & 0.411219467997272 \tabularnewline
57 & 7.7 & 7.74922543206893 & -0.0212502099453783 & -0.0492254320689253 & -0.899308834759664 \tabularnewline
58 & 7.3 & 7.47439277422635 & -0.0217454481387501 & -0.174392774226348 & -0.957896051554856 \tabularnewline
59 & 7.4 & 7.58921952411478 & -0.0216367556764171 & -0.189219524114784 & 0.515519067666413 \tabularnewline
60 & 8.1 & 7.79947334592646 & -0.0219982787698112 & 0.300526654073542 & 0.877003018098422 \tabularnewline
61 & 8.3 & 8.03382385406515 & -0.0225663073694065 & 0.266176145934855 & 0.974579542652016 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63783&T=1

[TABLE]
[ROW][C]Structural Time Series Model[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Level[/C][C]Slope[/C][C]Seasonal[/C][C]Stand. Residuals[/C][/ROW]
[ROW][C]1[/C][C]9.3[/C][C]9.3[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]9.3[/C][C]9.3[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]3[/C][C]8.7[/C][C]8.77525230598956[/C][C]-0.0076745553976964[/C][C]-0.0752523059895582[/C][C]-1.97088465287498[/C][/ROW]
[ROW][C]4[/C][C]8.2[/C][C]8.25227981210922[/C][C]-0.00993735738546997[/C][C]-0.052279812109215[/C][C]-1.94953585912716[/C][/ROW]
[ROW][C]5[/C][C]8.3[/C][C]8.28214163216692[/C][C]-0.00976178289552904[/C][C]0.0178583678330857[/C][C]0.150511606241261[/C][/ROW]
[ROW][C]6[/C][C]8.5[/C][C]8.48399129646074[/C][C]-0.00874923325063979[/C][C]0.0160087035392632[/C][C]0.800213212939008[/C][/ROW]
[ROW][C]7[/C][C]8.6[/C][C]8.60159861615121[/C][C]-0.00814027592986616[/C][C]-0.00159861615121014[/C][C]0.477817965309843[/C][/ROW]
[ROW][C]8[/C][C]8.5[/C][C]8.52286633642054[/C][C]-0.00847838428486613[/C][C]-0.0228663364205374[/C][C]-0.266942509635764[/C][/ROW]
[ROW][C]9[/C][C]8.2[/C][C]8.2409379298869[/C][C]-0.00978098535056802[/C][C]-0.0409379298869055[/C][C]-1.03403735512353[/C][/ROW]
[ROW][C]10[/C][C]8.1[/C][C]8.11312599318411[/C][C]-0.0103405433559001[/C][C]-0.0131259931841093[/C][C]-0.446323798175294[/C][/ROW]
[ROW][C]11[/C][C]7.9[/C][C]7.92789423457948[/C][C]-0.0111657666971488[/C][C]-0.0278942345794744[/C][C]-0.661329766165156[/C][/ROW]
[ROW][C]12[/C][C]8.6[/C][C]8.524502767595[/C][C]-0.00831144125436691[/C][C]0.0754972324049972[/C][C]2.29820304191118[/C][/ROW]
[ROW][C]13[/C][C]8.7[/C][C]8.61233532731105[/C][C]-0.012167484684343[/C][C]0.0876646726889449[/C][C]0.426479468888753[/C][/ROW]
[ROW][C]14[/C][C]8.7[/C][C]8.64697890568697[/C][C]-0.0112364642374091[/C][C]0.053021094313027[/C][C]0.156250978450350[/C][/ROW]
[ROW][C]15[/C][C]8.5[/C][C]8.5414998315855[/C][C]-0.0123895402946268[/C][C]-0.0414998315854959[/C][C]-0.35019598916982[/C][/ROW]
[ROW][C]16[/C][C]8.4[/C][C]8.46170941023772[/C][C]-0.0126545537920266[/C][C]-0.0617094102377202[/C][C]-0.254804525035108[/C][/ROW]
[ROW][C]17[/C][C]8.5[/C][C]8.4932025633073[/C][C]-0.0125500502235609[/C][C]0.00679743669269767[/C][C]0.166823768911631[/C][/ROW]
[ROW][C]18[/C][C]8.7[/C][C]8.67075545093492[/C][C]-0.0120542832336588[/C][C]0.0292445490650771[/C][C]0.718216130902494[/C][/ROW]
[ROW][C]19[/C][C]8.7[/C][C]8.70713914010227[/C][C]-0.0119189153143273[/C][C]-0.00713914010226971[/C][C]0.182991857196360[/C][/ROW]
[ROW][C]20[/C][C]8.6[/C][C]8.61864935694136[/C][C]-0.012134911536214[/C][C]-0.0186493569413626[/C][C]-0.289273523363328[/C][/ROW]
[ROW][C]21[/C][C]8.5[/C][C]8.53834411827887[/C][C]-0.0123275704592064[/C][C]-0.0383441182788657[/C][C]-0.257541197498903[/C][/ROW]
[ROW][C]22[/C][C]8.3[/C][C]8.31741955181045[/C][C]-0.012943739849171[/C][C]-0.0174195518104463[/C][C]-0.78816999941086[/C][/ROW]
[ROW][C]23[/C][C]8[/C][C]8.11865880983634[/C][C]-0.0135061293569174[/C][C]-0.118658809836342[/C][C]-0.702266477523946[/C][/ROW]
[ROW][C]24[/C][C]8.2[/C][C]8.12305790757048[/C][C]-0.0135103088672294[/C][C]0.0769420924295213[/C][C]0.0675869056758669[/C][/ROW]
[ROW][C]25[/C][C]8.1[/C][C]8.03590561762649[/C][C]-0.0123969428762549[/C][C]0.064094382373513[/C][C]-0.295275808183713[/C][/ROW]
[ROW][C]26[/C][C]8.1[/C][C]8.02453126597765[/C][C]-0.0123866328200543[/C][C]0.0754687340223495[/C][C]0.00366062845961385[/C][/ROW]
[ROW][C]27[/C][C]8[/C][C]8.02335656546262[/C][C]-0.0122723147413111[/C][C]-0.0233565654626200[/C][C]0.0415232736116278[/C][/ROW]
[ROW][C]28[/C][C]7.9[/C][C]7.97356668589169[/C][C]-0.0124421967098636[/C][C]-0.0735666858916876[/C][C]-0.141689227325010[/C][/ROW]
[ROW][C]29[/C][C]7.9[/C][C]7.9294054700144[/C][C]-0.0125125259591850[/C][C]-0.0294054700143992[/C][C]-0.119854608939092[/C][/ROW]
[ROW][C]30[/C][C]8[/C][C]7.9684984754914[/C][C]-0.0124084863298355[/C][C]0.031501524508603[/C][C]0.194940090506568[/C][/ROW]
[ROW][C]31[/C][C]8[/C][C]7.99431405307434[/C][C]-0.0123241433193786[/C][C]0.00568594692565916[/C][C]0.144373966838509[/C][/ROW]
[ROW][C]32[/C][C]7.9[/C][C]7.92856970049737[/C][C]-0.0124480476790977[/C][C]-0.0285697004973683[/C][C]-0.201766120028321[/C][/ROW]
[ROW][C]33[/C][C]8[/C][C]7.98919102969673[/C][C]-0.0122709626530984[/C][C]0.0108089703032685[/C][C]0.276004804148458[/C][/ROW]
[ROW][C]34[/C][C]7.7[/C][C]7.74282660249692[/C][C]-0.0128739875002979[/C][C]-0.0428266024969196[/C][C]-0.88447287872128[/C][/ROW]
[ROW][C]35[/C][C]7.2[/C][C]7.38545840629785[/C][C]-0.0135799508315851[/C][C]-0.185458406297851[/C][C]-1.30129562410372[/C][/ROW]
[ROW][C]36[/C][C]7.5[/C][C]7.38506995222871[/C][C]-0.0136012899151014[/C][C]0.114930047771286[/C][C]0.0498450948200217[/C][/ROW]
[ROW][C]37[/C][C]7.3[/C][C]7.25700557979932[/C][C]-0.0127453413194778[/C][C]0.0429944202006818[/C][C]-0.444270438266987[/C][/ROW]
[ROW][C]38[/C][C]7[/C][C]6.97393055634415[/C][C]-0.0143657446755038[/C][C]0.0260694436558471[/C][C]-0.992453666237136[/C][/ROW]
[ROW][C]39[/C][C]7[/C][C]6.99392138534081[/C][C]-0.0140791708184529[/C][C]0.00607861465918763[/C][C]0.127358032673715[/C][/ROW]
[ROW][C]40[/C][C]7[/C][C]7.05009140078826[/C][C]-0.0137416967681016[/C][C]-0.0500914007882632[/C][C]0.264930560610493[/C][/ROW]
[ROW][C]41[/C][C]7.2[/C][C]7.2041689772245[/C][C]-0.0133346411833875[/C][C]-0.00416897722449316[/C][C]0.634115094862683[/C][/ROW]
[ROW][C]42[/C][C]7.3[/C][C]7.26878015878369[/C][C]-0.0131915724319570[/C][C]0.0312198412163093[/C][C]0.294440074528764[/C][/ROW]
[ROW][C]43[/C][C]7.1[/C][C]7.12777865036264[/C][C]-0.0134366216164051[/C][C]-0.0277786503626356[/C][C]-0.482720136809865[/C][/ROW]
[ROW][C]44[/C][C]6.8[/C][C]6.89613654726884[/C][C]-0.0138933880354078[/C][C]-0.0961365472688436[/C][C]-0.824109094208999[/C][/ROW]
[ROW][C]45[/C][C]6.4[/C][C]6.44159726325472[/C][C]-0.0148917002820362[/C][C]-0.0415972632547197[/C][C]-1.66446254292099[/C][/ROW]
[ROW][C]46[/C][C]6.1[/C][C]6.13019169630231[/C][C]-0.0155658547521039[/C][C]-0.0301916963023118[/C][C]-1.12024668920766[/C][/ROW]
[ROW][C]47[/C][C]6.5[/C][C]6.56784204306559[/C][C]-0.0149794427572034[/C][C]-0.0678420430655875[/C][C]1.71118825389689[/C][/ROW]
[ROW][C]48[/C][C]7.7[/C][C]7.38388762251882[/C][C]-0.0164708802091240[/C][C]0.316112377481180[/C][C]3.14249305286777[/C][/ROW]
[ROW][C]49[/C][C]7.9[/C][C]7.73901752778758[/C][C]-0.0179678727048104[/C][C]0.160982472212419[/C][C]1.42236376118628[/C][/ROW]
[ROW][C]50[/C][C]7.5[/C][C]7.53985705828932[/C][C]-0.0187061261454646[/C][C]-0.039857058289324[/C][C]-0.672434601146582[/C][/ROW]
[ROW][C]51[/C][C]6.9[/C][C]7.02530961969086[/C][C]-0.0221005128758527[/C][C]-0.125309619690864[/C][C]-1.84228285775196[/C][/ROW]
[ROW][C]52[/C][C]6.6[/C][C]6.73933288466165[/C][C]-0.0233604449147042[/C][C]-0.139332884661648[/C][C]-0.993893188274412[/C][/ROW]
[ROW][C]53[/C][C]6.9[/C][C]6.88126093732315[/C][C]-0.0229222509090924[/C][C]0.0187390626768471[/C][C]0.624450050849338[/C][/ROW]
[ROW][C]54[/C][C]7.7[/C][C]7.51025364709912[/C][C]-0.0217273056181553[/C][C]0.189746352900883[/C][C]2.46267021661483[/C][/ROW]
[ROW][C]55[/C][C]8[/C][C]7.92012530155855[/C][C]-0.0209587591221130[/C][C]0.0798746984414455[/C][C]1.63012339275497[/C][/ROW]
[ROW][C]56[/C][C]8[/C][C]8.00804481067862[/C][C]-0.0207455461472738[/C][C]-0.0080448106786205[/C][C]0.411219467997272[/C][/ROW]
[ROW][C]57[/C][C]7.7[/C][C]7.74922543206893[/C][C]-0.0212502099453783[/C][C]-0.0492254320689253[/C][C]-0.899308834759664[/C][/ROW]
[ROW][C]58[/C][C]7.3[/C][C]7.47439277422635[/C][C]-0.0217454481387501[/C][C]-0.174392774226348[/C][C]-0.957896051554856[/C][/ROW]
[ROW][C]59[/C][C]7.4[/C][C]7.58921952411478[/C][C]-0.0216367556764171[/C][C]-0.189219524114784[/C][C]0.515519067666413[/C][/ROW]
[ROW][C]60[/C][C]8.1[/C][C]7.79947334592646[/C][C]-0.0219982787698112[/C][C]0.300526654073542[/C][C]0.877003018098422[/C][/ROW]
[ROW][C]61[/C][C]8.3[/C][C]8.03382385406515[/C][C]-0.0225663073694065[/C][C]0.266176145934855[/C][C]0.974579542652016[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63783&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63783&T=1

As an alternative you can also use a QR Code:

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

Structural Time Series Model
t	Observed	Level	Slope	Seasonal	Stand. Residuals
1	9.3	9.3	0	0	0
2	9.3	9.3	0	0	0
3	8.7	8.77525230598956	-0.0076745553976964	-0.0752523059895582	-1.97088465287498
4	8.2	8.25227981210922	-0.00993735738546997	-0.052279812109215	-1.94953585912716
5	8.3	8.28214163216692	-0.00976178289552904	0.0178583678330857	0.150511606241261
6	8.5	8.48399129646074	-0.00874923325063979	0.0160087035392632	0.800213212939008
7	8.6	8.60159861615121	-0.00814027592986616	-0.00159861615121014	0.477817965309843
8	8.5	8.52286633642054	-0.00847838428486613	-0.0228663364205374	-0.266942509635764
9	8.2	8.2409379298869	-0.00978098535056802	-0.0409379298869055	-1.03403735512353
10	8.1	8.11312599318411	-0.0103405433559001	-0.0131259931841093	-0.446323798175294
11	7.9	7.92789423457948	-0.0111657666971488	-0.0278942345794744	-0.661329766165156
12	8.6	8.524502767595	-0.00831144125436691	0.0754972324049972	2.29820304191118
13	8.7	8.61233532731105	-0.012167484684343	0.0876646726889449	0.426479468888753
14	8.7	8.64697890568697	-0.0112364642374091	0.053021094313027	0.156250978450350
15	8.5	8.5414998315855	-0.0123895402946268	-0.0414998315854959	-0.35019598916982
16	8.4	8.46170941023772	-0.0126545537920266	-0.0617094102377202	-0.254804525035108
17	8.5	8.4932025633073	-0.0125500502235609	0.00679743669269767	0.166823768911631
18	8.7	8.67075545093492	-0.0120542832336588	0.0292445490650771	0.718216130902494
19	8.7	8.70713914010227	-0.0119189153143273	-0.00713914010226971	0.182991857196360
20	8.6	8.61864935694136	-0.012134911536214	-0.0186493569413626	-0.289273523363328
21	8.5	8.53834411827887	-0.0123275704592064	-0.0383441182788657	-0.257541197498903
22	8.3	8.31741955181045	-0.012943739849171	-0.0174195518104463	-0.78816999941086
23	8	8.11865880983634	-0.0135061293569174	-0.118658809836342	-0.702266477523946
24	8.2	8.12305790757048	-0.0135103088672294	0.0769420924295213	0.0675869056758669
25	8.1	8.03590561762649	-0.0123969428762549	0.064094382373513	-0.295275808183713
26	8.1	8.02453126597765	-0.0123866328200543	0.0754687340223495	0.00366062845961385
27	8	8.02335656546262	-0.0122723147413111	-0.0233565654626200	0.0415232736116278
28	7.9	7.97356668589169	-0.0124421967098636	-0.0735666858916876	-0.141689227325010
29	7.9	7.9294054700144	-0.0125125259591850	-0.0294054700143992	-0.119854608939092
30	8	7.9684984754914	-0.0124084863298355	0.031501524508603	0.194940090506568
31	8	7.99431405307434	-0.0123241433193786	0.00568594692565916	0.144373966838509
32	7.9	7.92856970049737	-0.0124480476790977	-0.0285697004973683	-0.201766120028321
33	8	7.98919102969673	-0.0122709626530984	0.0108089703032685	0.276004804148458
34	7.7	7.74282660249692	-0.0128739875002979	-0.0428266024969196	-0.88447287872128
35	7.2	7.38545840629785	-0.0135799508315851	-0.185458406297851	-1.30129562410372
36	7.5	7.38506995222871	-0.0136012899151014	0.114930047771286	0.0498450948200217
37	7.3	7.25700557979932	-0.0127453413194778	0.0429944202006818	-0.444270438266987
38	7	6.97393055634415	-0.0143657446755038	0.0260694436558471	-0.992453666237136
39	7	6.99392138534081	-0.0140791708184529	0.00607861465918763	0.127358032673715
40	7	7.05009140078826	-0.0137416967681016	-0.0500914007882632	0.264930560610493
41	7.2	7.2041689772245	-0.0133346411833875	-0.00416897722449316	0.634115094862683
42	7.3	7.26878015878369	-0.0131915724319570	0.0312198412163093	0.294440074528764
43	7.1	7.12777865036264	-0.0134366216164051	-0.0277786503626356	-0.482720136809865
44	6.8	6.89613654726884	-0.0138933880354078	-0.0961365472688436	-0.824109094208999
45	6.4	6.44159726325472	-0.0148917002820362	-0.0415972632547197	-1.66446254292099
46	6.1	6.13019169630231	-0.0155658547521039	-0.0301916963023118	-1.12024668920766
47	6.5	6.56784204306559	-0.0149794427572034	-0.0678420430655875	1.71118825389689
48	7.7	7.38388762251882	-0.0164708802091240	0.316112377481180	3.14249305286777
49	7.9	7.73901752778758	-0.0179678727048104	0.160982472212419	1.42236376118628
50	7.5	7.53985705828932	-0.0187061261454646	-0.039857058289324	-0.672434601146582
51	6.9	7.02530961969086	-0.0221005128758527	-0.125309619690864	-1.84228285775196
52	6.6	6.73933288466165	-0.0233604449147042	-0.139332884661648	-0.993893188274412
53	6.9	6.88126093732315	-0.0229222509090924	0.0187390626768471	0.624450050849338
54	7.7	7.51025364709912	-0.0217273056181553	0.189746352900883	2.46267021661483
55	8	7.92012530155855	-0.0209587591221130	0.0798746984414455	1.63012339275497
56	8	8.00804481067862	-0.0207455461472738	-0.0080448106786205	0.411219467997272
57	7.7	7.74922543206893	-0.0212502099453783	-0.0492254320689253	-0.899308834759664
58	7.3	7.47439277422635	-0.0217454481387501	-0.174392774226348	-0.957896051554856
59	7.4	7.58921952411478	-0.0216367556764171	-0.189219524114784	0.515519067666413
60	8.1	7.79947334592646	-0.0219982787698112	0.300526654073542	0.877003018098422
61	8.3	8.03382385406515	-0.0225663073694065	0.266176145934855	0.974579542652016

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Figure 3

PNG link

Postscript link

PDF link

Figure 4

PNG link

Postscript link

PDF link

Figure 5

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 12 ; par2 = periodic ; par3 = 0 ; par5 = 1 ; par7 = 1 ; par8 = FALSE ;

Parameters (R input):

par1 = 12 ;

R code (references can be found in the software module):

par1 <- as.numeric(par1)
nx <- length(x)
x <- ts(x,frequency=par1)
m <- StructTS(x,type='BSM')
m$coef
m$fitted
m$resid
mylevel <- as.numeric(m$fitted[,'level'])
myslope <- as.numeric(m$fitted[,'slope'])
myseas <- as.numeric(m$fitted[,'sea'])
myresid <- as.numeric(m$resid)
myfit <- mylevel+myseas
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(mylevel,na.action=na.pass,lag.max = mylagmax,main='Level')
acf(myseas,na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(myresid,na.action=na.pass,lag.max = mylagmax,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(mylevel,main='Level')
spectrum(myseas,main='Seasonal')
spectrum(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(mylevel,main='Level')
cpgram(myseas,main='Seasonal')
cpgram(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test1.png')
plot(as.numeric(m$resid),main='Standardized Residuals',ylab='Residuals',xlab='time',type='b')
grid()
dev.off()
bitmap(file='test5.png')
op <- par(mfrow = c(2,2))
hist(m$resid,main='Residual Histogram')
plot(density(m$resid),main='Residual Kernel Density')
qqnorm(m$resid,main='Residual Normal QQ Plot')
qqline(m$resid)
plot(m$resid^2, myfit^2,main='Sq.Resid vs. Sq.Fit',xlab='Squared residuals',ylab='Squared Fit')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Level',header=TRUE)
a<-table.element(a,'Slope',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Stand. Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nx) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,mylevel[i])
a<-table.element(a,myslope[i])
a<-table.element(a,myseas[i])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code