Home » date » 2010 » Dec » 09 »

*The author of this computation has been verified*
R Software Module: /rwasp_exponentialsmoothing.wasp (opens new window with default values)
Title produced by software: Exponential Smoothing
Date of computation: Thu, 09 Dec 2010 19:53:00 +0000
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Dec/09/t1291924265dyky9eyotiqjvgs.htm/, Retrieved Thu, 09 Dec 2010 20:51:06 +0100
 
BibTeX entries for LaTeX users:
@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/Dec/09/t1291924265dyky9eyotiqjvgs.htm/},
    year = {2010},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2010},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
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. etc...
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk


Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.859090117482455
beta0.0739570283338065
gamma1


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13299.5239.39449786324860.105502136752
14347.4339.492687410767.90731258923984
15338.3339.929491887117-1.62949188711656
16327.7329.223957559453-1.52395755945292
17351.6353.166427606607-1.56642760660714
18396.6400.389554566439-3.78955456643905
19438.8384.59954292544154.2004570745594
20395.6427.763510672228-32.163510672228
21363.5393.902014378512-30.4020143785124
22378.8345.0763539586633.7236460413396
23357410.295571899351-53.2955718993513
24369383.104598762056-14.1045987620564
25464.8456.9763496283527.8236503716484
26479.1502.592157461922-23.4921574619219
27431.3470.502849795568-39.2028497955684
28366.5420.938726552733-54.4387265527326
29326.3389.460118106078-63.1601181060779
30355.1369.585513312159-14.4855133121591
31331.6338.228558771605-6.62855877160479
32261.3298.551050153253-37.2510501532529
33249241.8295371107527.1704628892478
34205.5217.967581386671-12.4675813866706
35235.6211.95733168453423.6426683154655
36240.9241.988791886468-1.08879188646765
37264.9316.562325993359-51.6623259933595
38253.8289.312251522339-35.5122515223391
39232.3226.5697412314595.73025876854075
40193.8198.202113954408-4.40211395440818
41177196.401440515567-19.4014405155671
42213.2211.679362402561.52063759743996
43207.2186.89836567156120.3016343284389
44180.6159.47044742172321.129552578277
45188.6156.30095820607232.2990417939276
46175.4149.99447971845825.4055202815422
47199182.75018236709116.2498176329088
48179.6203.617154073345-24.0171540733448
49225.8250.581620945864-24.781620945864
50234249.622858322182-15.6228583221823
51200.2211.964952702787-11.7649527027866
52183.6168.214385528115.3856144719
53178.2183.631603723916-5.43160372391608
54203.2217.078589038259-13.8785890382595
55208.5183.95588261147924.544117388521
56191.8162.80003652860428.9999634713959
57172.8170.976618453961.82338154604028
58148138.5919296298139.40807037018729
59159.4156.372335669963.0276643300401
60154.5159.424275934007-4.92427593400748
61213.2223.114609211206-9.91460921120594
62196.4237.594180801579-41.1941808015789
63182.8178.2627997603224.53720023967833
64176.4153.12978183564223.2702181643578
65153.6173.674935132261-20.0749351322614
66173.2193.709042121908-20.5090421219084
67171160.24037388481210.7596261151881
68151.2126.93052816102824.2694718389715
69161.9125.97343500233335.9265649976671
70157.2124.88167557348832.3183244265116
71201.7163.82707632672537.8729236732753
72236.4200.28973145666636.110268543334
73356.1305.73241363323950.3675863667614
74398.3378.62546212399719.6745378760027
75403.7392.93037829375910.7696217062409
76384.6391.087800001011-6.48780000101078
77365.8393.366236037297-27.5662360372971
78368.1419.833367569902-51.7333675699016
79367.9374.892290362595-6.99229036259482
80347338.0537741138938.94622588610662
81343.3334.419812173438.88018782656985
82292.9316.710509488053-23.8105094880528
83311.5311.77886280598-0.278862805980452
84300.9316.353298389022-15.4532983890225
85366.9377.367075471289-10.4670754712892
86356.9387.667386022289-30.7673860222894
87329.7348.17316030028-18.4731603002799
88316.2307.7085006900418.4914993099589
89269309.768910811548-40.7689108115476
90289.3310.533091409789-21.2330914097892
91266.2289.081542105605-22.8815421056054
92253.6230.81166774214522.7883322578549
93233.8229.9125323951323.8874676048685
94228.4193.84288977485734.5571102251435
95253.6236.61385954398516.9861404560152
96260.1249.22293544593210.8770645540677
97306.6330.573069195611-23.9730691956107
98309.2322.565480154246-13.3654801542456
99309.5297.01456138709812.4854386129019
100271286.173816735981-15.1738167359812
101279.9258.68681702115321.2131829788474
102317.9317.1145787306180.785421269381686
103298.4317.408182699643-19.0081826996427
104246.7272.208856180446-25.5088561804462
105227.3227.393813157527-0.0938131575273076
106209.1192.21164188139416.8883581186062
107259.9216.19113515040643.7088648495944
108266251.45795582630314.5420441736967
109320.6331.840111835229-11.2401118352288
110308.5337.869195516856-29.369195516856
111282.2302.79868563497-20.5986856349696
112262.7258.1226023264024.57739767359834
113263.5252.47023978887811.0297602111219
114313.1298.36331492353414.7366850764665
115284.3307.831866174972-23.5318661749717
116252.6257.521531948129-4.9215319481286
117250.3234.97337077229215.3266292277083
118246.5217.41073864867329.0892613513275
119312.7258.40540905845954.2945909415409
120333.2302.08322849754431.1167715024562
121446.4397.55149551405648.8485044859444
122511.6460.94521116663450.654788833366
123515.5509.2404135231626.25958647683836
124506.4506.2740724245970.125927575402955
125483.2512.512377188494-29.3123771884942
126522.3536.512774692799-14.2127746927988
127509.8526.121899968486-16.3218999684856
128460.7495.489232971948-34.789232971948
129405.8459.098800682688-53.2988006826882
130375389.123472139655-14.1234721396549
131378.5398.404078112993-19.9040781129926
132406.8372.2161899988434.5838100011602
133467.8470.525432412876-2.72543241287559
134469.8483.954123473307-14.1541234733069
135429.8460.286335606016-30.486335606016
136355.8412.522391646774-56.7223916467743
137332.7349.797567198493-17.0975671984926
138378371.2181956989476.78180430105317
139360.5364.699191314884-4.19919131488405
140334.7328.7818508091065.91814919089416
141319.5314.2439783903945.25602160960568
142323.1293.3024657865729.7975342134303
143363.6335.50093976778128.0990602322186
144352.1357.280180836375-5.18018083637537
145411.9412.695121167536-0.79512116753557
146388.6422.818142247419-34.2181422474189
147416.4374.9838357368441.4161642631602
148360.7385.233730369838-24.5337303698377
149338357.730557989374-19.7305579893737
150417.2382.0719224162535.1280775837498
151388.4401.976465130286-13.5764651302858
152371.1362.4519171334018.64808286659905
153331.5353.362534337185-21.8625343371847
154353.7314.0554130273239.6445869726801
155396.7366.57323390523230.126766094768
156447387.63308786344359.3669121365568
157533.5505.44674899560128.0532510043992
158565.4543.80544343759721.5945565624032
159542.3566.284953845716-23.9849538457161
160488.7518.6091507996-29.9091507996002
161467.1494.376039391581-27.2760393915808
162531.3526.6970884566814.60291154331867
163496.1518.307181163606-22.2071811636062
164444478.743739592729-34.7437395927293
165403.4429.564702208668-26.164702208668
166386.3396.442329515034-10.1423295150339
167394.1402.898035530533-8.7980355305329
168404.1390.21557417592313.8844258240767
169462.1457.23088405414.8691159459002
170448.1465.976809417731-17.876809417731
171432.3436.830999113449-4.53099911344901
172386.3394.975883254873-8.67588325487282
173395.2380.64693002769714.5530699723026
174421.9447.344493179185-25.4444931791852
175382.9401.403746337658-18.5037463376585
176384.2355.53106048657828.6689395134222
177345.5358.342768894592-12.8427688945918
178323.4336.07393586308-12.6739358630805
179372.6337.53442842987335.065571570127
180376365.5080889256810.4919110743198
181462.7427.90017818521434.7998218147857
182487460.61742294147526.382577058525
183444.2475.650295578904-31.4502955789035
184399.3412.650010123354-13.3500101233535
185394.9399.846762703069-4.9467627030694
186455.4445.18523678711210.2147632128879
187414434.151738608339-20.1517386083392
188375.5396.700384154198-21.2003841541979
189347350.841962139076-3.84196213907563
190339.4336.9228191706172.4771808293832
191385.8359.6824880230926.1175119769102
192378.8377.4937989241061.30620107589419
193451.8435.82365094062115.9763490593787
194446.1450.391690398511-4.29169039851109
195422.5428.182394150982-5.68239415098157
196383.1388.765764693691-5.66576469369073
197352.8383.132498938447-30.3324989384468
198445.3406.57026663676538.7297333632347
199367.5415.337997290186-47.8379972901856
200355.1351.7780598017133.32194019828705
201326.2328.814714534771-2.61471453477117
202319.8316.3005086802183.49949131978224
203331.8342.79473505466-10.99473505466
204340.9322.39431225761618.5056877423835
205394.1395.827214314571-1.72721431457074
206417.2389.46549335054827.7345066494522
207369.9393.7435940791-23.8435940791005
208349.2336.74328649326112.4567135067388
209321.4342.370587319692-20.9705873196923
210405.7383.34495918672422.3550408132764
211342.9364.569053506195-21.6690535061952
212316.5331.084150283873-14.5841502838733
213284.2291.148261888215-6.94826188821537
214270.9274.744300734944-3.84430073494423
215288.8291.392175220431-2.59217522043133
216278.8281.406079633926-2.60607963392647
217324.4331.548573088639-7.14857308863895
218310.9322.033931876022-11.133931876022
219299280.53620945195818.4637905480419
220273262.56839385803410.431606141966
221279.3259.18860509352820.1113949064721
222359.2341.61418287413417.5858171258657
223305312.287709889263-7.28770988926328
224282.1292.819794800918-10.7197948009182
225250.3258.189017955924-7.88901795592398
226246.5242.2637795270774.23622047292315
227257.9267.392926941991-9.49292694199141
228266.5252.40100018441814.0989998155823
229315.9318.240445580034-2.34044558003382
230318.4314.5861962459873.81380375401346
231295.4293.3416064871822.05839351281759
232266.4262.347002142984.05299785701965
233245.8256.644862137147-10.8448621371472
234362.8311.94698767561850.8530123243824
235324.9309.63540494848115.2645950515192
236294.2312.431512532702-18.2315125327016
237289.5274.64229006875414.8577099312456
238295.2284.30824957791110.8917504220894
239290.3317.984531433371-27.6845314333713
240272294.296902373431-22.2969023734306
241307.4327.848256250694-20.4482562506938
242328.7309.65021558838919.0497844116109
243292.9302.360636400304-9.46063640030428
244249.1262.132621337362-13.0326213373624
245230.4238.94900594119-8.54900594119025
246361.5304.3590549531557.1409450468503
247321.7302.27585778785319.4241422121466
248277.2304.030983001457-26.8309830014574
249260.7263.075789422776-2.3757894227756
250251255.841984245506-4.84198424550567
251257.6268.030343313095-10.4303433130954
252241.8258.48559727085-16.6855972708498
253287.5296.03538924668-8.53538924668038
254292.3293.311460964076-1.01146096407632
255274.7263.16967956427711.5303204357228
256254.2240.20475181102713.9952481889726
257230242.322825473096-12.3228254730956
258339314.95794196669824.0420580333023
259318.2278.23294040031239.9670595996876
260287291.531480962199-4.53148096219905
261295.8275.00936559526720.7906344047328
262284290.631809056548-6.63180905654775
263271303.683088525327-32.6830885253266
264262.7275.913953207471-13.213953207471
265340.6319.58936998492221.010630015078
266379.4347.18028410871732.2197158912832
267373.3353.33766049524419.9623395047558
268355.2344.48298556249610.717014437504
269338.4346.387055178661-7.98705517866148
270466.9434.45740781397832.4425921860222
271451414.31319374295936.6868062570415
272422425.434985112541-3.43498511254069
273429.2420.4042296438898.79577035611146
274425.9428.077042793122-2.17704279312193
275460.7447.78665426951212.9133457304876
276463.6471.331531394263-7.73153139426262
277541.4534.2869271766137.11307282338691
278544.2560.382569088665-16.1825690886645
279517.5529.02007059113-11.5200705911302
280469.4495.605387268543-26.2053872685433
281439.4464.597282316297-25.1972823162968
282549543.9290551355775.07094486442315
283533499.478722234233.5212777657998
284506.1500.6368993951085.46310060489179
285484503.948599258886-19.9485992588855
286457482.529699094897-25.5296990948971
287481.5479.9683989844391.53160101556125
288469.5485.767856568259-16.2678565682593
289544.7537.8807614233396.81923857666152
290541.2554.821948325974-13.6219483259738
291521.5520.8594981550890.640501844911341
292469.7491.138419523182-21.4384195231822
293434.4459.986377618638-25.586377618638
294542.6538.843009599193.7569904008102
295517.3492.78335613909224.5166438609077
296485.7477.1905023343618.50949766563929
297465.8474.670562774211-8.87056277421073
298447457.818104143248-10.8181041432475
299426.6468.47914872836-41.8791487283603
300411.6428.489160341722-16.8891603417221
301467.5477.294453731101-9.7944537311007
302484.5469.9999976768414.5000023231601
303451.2456.91068802221-5.71068802221049
304417.4412.9228295510584.47717044894171
305379.9399.397295919868-19.4972959198679
306484.7483.9538120658540.746187934146235
307455434.37559840498420.6244015950161
308420.8409.07884621887211.721153781128
309416.5402.96849497445113.5315050255488
310376.3402.609844364408-26.3098443644078
311405.6392.12384130082213.4761586991783
312405.8403.265989317782.53401068221967
313500.8471.04691955405529.7530804459454
314514504.9530388555949.04696114440645
315475.5487.787076964122-12.2870769641224
316430.1442.623129418822-12.5231294188225
317414.4413.0724918327991.32750816720085
318538521.65294278661616.3470572133843
319526492.55057594979933.4494240502012
320488.5482.1042231066186.3957768933821
321520.2476.42274265980443.7772573401958
322504.4503.1043187927441.29568120725634
323568.5530.36456847970938.135431520291
324610.6571.1405202629339.4594797370704
325818686.816402393432131.183597606568
326830.9823.7244543835537.17554561644727
327835.9820.60737393256915.2926260674313
328782819.518684587333-37.518684587333
329762.3789.273262898023-26.9732628980232
330856.9892.68605183573-35.7860518357298
331820.9834.923070258653-14.0230702586531
332769.6790.581771362855-20.9817713628547
333752.2775.608807568446-23.408807568446
334724.4743.277586017291-18.8775860172912
335723.1761.808702989773-38.7087029897725
336719.5735.283276729274-15.7832767292745
337817.4811.4436843282845.95631567171586
338803.3810.358043321368-7.05804332136836
339752.5782.314249740775-29.8142497407749
340689718.324599906623-29.324599906623
341630.4680.416753181498-50.0167531814978
342765.5745.13937646478720.3606235352129
343757.7724.59346743089633.1065325691039
344732.2708.67000900014623.5299909998541
345702.6723.332569468268-20.7325694682683
346683.3685.84691080969-2.54691080969042
347709.5708.5586701268980.941329873102063
348702.2714.791330063735-12.5913300637351
349784.8792.424749328047-7.62474932804685
350810.9772.64253303650238.2574669634984
351755.6778.006062405979-22.4060624059791
352656.8718.604184623443-61.8041846234431
353615.1645.968578939569-30.8685789395691
354745.3734.3655311983310.9344688016701
355694.1704.226286331919-10.1262863319188
356675.7643.77423741845531.9257625815451
357643.7653.907648081476-10.207648081476
358622.1623.190251191307-1.09025119130649
359634.6642.901356733155-8.30135673315465
360588633.956006137359-45.9560061373586
361689.7676.17532814352513.524671856475
362673.9674.920698593797-1.02069859379719
363647.9629.39015581589818.5098441841016
364568.8593.584269672457-24.7842696724567
365545.7553.460453189644-7.7604531896435
366632.6665.417236164432-32.8172361644323
367643.8589.7612736283654.0387263716397
368593.1589.4726828544813.62731714551876
369579.7566.67458230677413.0254176932259
370546555.993761806176-9.99376180617594
371562.9565.266689948432-2.36668994843183
372572.5554.71776084740817.7822391525916


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
373662.728972325122615.085067232269710.372877417976
374649.600121689968584.775717000743714.424526379192
375609.557625618138529.496678783849689.618572452426
376552.432638033037458.034949763668646.830326302406
377538.25734516109429.979761907953646.534928414227
378656.101153149194534.16913838009778.033167918297
379625.712929861649490.216089728115761.209769995183
380573.299258922841424.241236727684722.357281117998
381549.881308357228387.208496635773712.554120078683
382525.11132770177348.730576688226701.492078715314
383545.023966161257354.814088633884735.233843688631
384540.477228178204336.296781562896744.657674793513
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Dec/09/t1291924265dyky9eyotiqjvgs/1522c1291924373.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/09/t1291924265dyky9eyotiqjvgs/1522c1291924373.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/09/t1291924265dyky9eyotiqjvgs/2522c1291924373.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/09/t1291924265dyky9eyotiqjvgs/2522c1291924373.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/09/t1291924265dyky9eyotiqjvgs/3522c1291924373.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/09/t1291924265dyky9eyotiqjvgs/3522c1291924373.ps (open in new window)


 
Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
 
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ;
 
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
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,'Interpolation Forecasts of Exponential Smoothing',4,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,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
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,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')
 





Copyright

Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa


Disclaimer

Information provided on this web site is provided "AS IS" without warranty of any kind, either express or implied, including, without limitation, warranties of merchantability, fitness for a particular purpose, and noninfringement. We use reasonable efforts to include accurate and timely information and periodically update the information, and software without notice. However, we make no warranties or representations as to the accuracy or completeness of such information (or software), and we assume no liability or responsibility for errors or omissions in the content of this web site, or any software bugs in online applications. Your use of this web site is AT YOUR OWN RISK. Under no circumstances and under no legal theory shall we be liable to you or any other person for any direct, indirect, special, incidental, exemplary, or consequential damages arising from your access to, or use of, this web site.


Privacy Policy

We may request personal information to be submitted to our servers in order to be able to:

  • personalize online software applications according to your needs
  • enforce strict security rules with respect to the data that you upload (e.g. statistical data)
  • manage user sessions of online applications
  • alert you about important changes or upgrades in resources or applications

We NEVER allow other companies to directly offer registered users information about their products and services. Banner references and hyperlinks of third parties NEVER contain any personal data of the visitor.

We do NOT sell, nor transmit by any means, personal information, nor statistical data series uploaded by you to third parties.

We carefully protect your data from loss, misuse, alteration, and destruction. However, at any time, and under any circumstance you are solely responsible for managing your passwords, and keeping them secret.

We store a unique ANONYMOUS USER ID in the form of a small 'Cookie' on your computer. This allows us to track your progress when using this website which is necessary to create state-dependent features. The cookie is used for NO OTHER PURPOSE. At any time you may opt to disallow cookies from this website - this will not affect other features of this website.

We examine cookies that are used by third-parties (banner and online ads) very closely: abuse from third-parties automatically results in termination of the advertising contract without refund. We have very good reason to believe that the cookies that are produced by third parties (banner ads) do NOT cause any privacy or security risk.

FreeStatistics.org is safe. There is no need to download any software to use the applications and services contained in this website. Hence, your system's security is not compromised by their use, and your personal data - other than data you submit in the account application form, and the user-agent information that is transmitted by your browser - is never transmitted to our servers.

As a general rule, we do not log on-line behavior of individuals (other than normal logging of webserver 'hits'). However, in cases of abuse, hacking, unauthorized access, Denial of Service attacks, illegal copying, hotlinking, non-compliance with international webstandards (such as robots.txt), or any other harmful behavior, our system engineers are empowered to log, track, identify, publish, and ban misbehaving individuals - even if this leads to ban entire blocks of IP addresses, or disclosing user's identity.


FreeStatistics.org is powered by