Home » date » 2009 » Dec » 30 »

lin regr wlh lin trend en seasonal dummie

*The author of this computation has been verified*
R Software Module: /rwasp_multipleregression.wasp (opens new window with default values)
Title produced by software: Multiple Regression
Date of computation: Wed, 30 Dec 2009 14:32:41 -0700
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/Dec/30/t12622088227f00wv8lcu2sc7h.htm/, Retrieved Wed, 30 Dec 2009 22:33:53 +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/2009/Dec/30/t12622088227f00wv8lcu2sc7h.htm/},
    year = {2009},
}
@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 = {2009},
    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 «
612613 0 611324 0 594167 0 595454 0 590865 0 589379 0 584428 0 573100 0 567456 0 569028 0 620735 0 628884 0 628232 0 612117 0 595404 0 597141 0 593408 0 590072 0 579799 0 574205 0 572775 0 572942 0 619567 0 625809 0 619916 0 587625 0 565742 0 557274 0 560576 1 548854 1 531673 1 525919 1 511038 1 498662 1 555362 1 564591 1 541657 1 527070 1 509846 1 514258 1 516922 1 507561 1 492622 1 490243 1 469357 1 477580 1 528379 1 533590 1 517945 1 506174 1 501866 1 516141 1 528222 1 532638 1 536322 1 536535 1 523597 1 536214 1 586570 1 596594 1
 
Output produced by software:

Enter (or paste) a matrix (table) containing all data (time) series. Every column represents a different variable and must be delimited by a space or Tab. Every row represents a period in time (or category) and must be delimited by hard returns. The easiest way to enter data is to copy and paste a block of spreadsheet cells. Please, do not use commas or spaces to seperate groups of digits!


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Multiple Linear Regression - Estimated Regression Equation
wlh[t] = + 632253.383333333 -66268.7222222223dummies[t] -19868.7458333334M1[t] -35007.1638888889M2[t] -50391.9819444444M3[t] -47671.2M4[t] -32400.2736111111M5[t] -36625.8916666666M6[t] -45285.7097222222M7[t] -50181.9277777778M8[t] -61265.5458333334M9[t] -59152.7638888889M10[t] -7843.18194444445M11[t] -72.1819444444439t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)632253.38333333310091.2360762.653700
dummies-66268.72222222239710.296436-6.824600
M1-19868.745833333411776.445325-1.68720.0983440.049172
M2-35007.163888888911746.38202-2.98030.004590.002295
M3-50391.981944444411722.946148-4.29868.8e-054.4e-05
M4-47671.211706.177514-4.07230.0001829.1e-05
M5-32400.273611111111816.410752-2.7420.0086710.004336
M6-36625.891666666611773.108748-3.1110.0031990.0016
M7-45285.709722222211736.343805-3.85860.0003540.000177
M8-50181.927777777811706.177514-4.28689.2e-054.6e-05
M9-61265.545833333411682.660991-5.24414e-062e-06
M10-59152.763888888911665.83445-5.07067e-063e-06
M11-7843.1819444444511655.726866-0.67290.5043750.252188
t-72.1819444444439280.312113-0.25750.7979370.398968


Multiple Linear Regression - Regression Statistics
Multiple R0.92315839266087
R-squared0.852221417940203
Adjusted R-squared0.810457905618956
F-TEST (value)20.4058847202523
F-TEST (DF numerator)13
F-TEST (DF denominator)46
p-value7.54951656745106e-15
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation18423.9920956829
Sum Squared Residuals15614400298.1222


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1612613612312.455555556300.54444444418
2611324597101.85555555514222.1444444445
3594167581644.85555555612522.1444444445
4595454584293.45555555611160.5444444445
5590865599492.2-8627.19999999999
6589379595194.4-5815.39999999994
7584428586462.4-2034.39999999998
8573100581494-8394.00000000005
9567456570338.2-2882.20000000009
10569028572378.8-3350.8
11620735623616.2-2881.19999999996
12628884631387.2-2503.19999999997
13628232611446.27222222216785.7277777779
14612117596235.67222222215881.3277777777
15595404580778.67222222214625.3277777778
16597141583427.27222222213713.7277777778
17593408598626.016666667-5218.01666666666
18590072594328.216666667-4256.21666666667
19579799585596.216666667-5797.21666666668
20574205580627.816666667-6422.81666666666
21572775569472.0166666673302.98333333335
22572942571512.6166666671429.38333333333
23619567622750.016666667-3183.01666666667
24625809630521.016666667-4712.01666666667
25619916610580.0888888899335.91111111118
26587625595369.488888889-7744.48888888891
27565742579912.488888889-14170.4888888889
28557274582561.088888889-25287.0888888889
29560576531491.11111111129084.8888888889
30548854527193.31111111121660.6888888889
31531673518461.31111111113211.6888888889
32525919513492.91111111112426.0888888889
33511038502337.1111111118700.88888888892
34498662504377.711111111-5715.7111111111
35555362555615.111111111-253.111111111112
36564591563386.1111111111204.88888888888
37541657543445.183333333-1788.18333333327
38527070528234.583333333-1164.58333333335
39509846512777.583333333-2931.58333333334
40514258515426.183333333-1168.18333333335
41516922530624.927777778-13702.9277777778
42507561526327.127777778-18766.1277777778
43492622517595.127777778-24973.1277777778
44490243512626.727777778-22383.7277777778
45469357501470.927777778-32113.9277777778
46477580503511.527777778-25931.5277777778
47528379554748.927777778-26369.9277777778
48533590562519.927777778-28929.9277777778
49517945542579-24633.9999999999
50506174527368.4-21194.4
51501866511911.4-10045.4000000000
525161415145601580.99999999997
53528222529758.744444444-1536.74444444445
54532638525460.9444444447177.05555555553
55536322516728.94444444419593.0555555555
56536535511760.54444444424774.4555555556
57523597500604.74444444422992.2555555556
58536214502645.34444444433568.6555555556
59586570553882.74444444432687.2555555555
60596594561653.74444444434940.2555555555


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
170.02026433564448070.04052867128896150.97973566435552
180.004514374497889360.009028748995778720.99548562550211
190.001685494391024860.003370988782049720.998314505608975
200.0003292890987957880.0006585781975915760.999670710901204
216.43539299267122e-050.0001287078598534240.999935646070073
221.07515733547039e-052.15031467094077e-050.999989248426645
232.09658915752406e-064.19317831504812e-060.999997903410842
245.04350453537493e-071.00870090707499e-060.999999495649546
251.15107723931483e-072.30215447862966e-070.999999884892276
262.45395537718283e-054.90791075436566e-050.999975460446228
270.000168250521859540.000336501043719080.99983174947814
280.0009594988057845510.001918997611569100.999040501194215
290.0007157744968740840.001431548993748170.999284225503126
300.0005557522034889870.001111504406977970.999444247796511
310.0004551130215161090.0009102260430322180.999544886978484
320.0002928716894050260.0005857433788100520.999707128310595
330.0003891037909911790.0007782075819823580.99961089620901
340.0006189901273005480.001237980254601100.9993810098727
350.0005433960583342120.001086792116668420.999456603941666
360.000594273671060250.00118854734212050.99940572632894
370.002731679451095660.005463358902191320.997268320548904
380.01495748806572800.02991497613145610.985042511934272
390.05700238806193580.1140047761238720.942997611938064
400.1794036643732400.3588073287464790.82059633562676
410.5392474509060180.9215050981879640.460752549093982
420.885677339091510.2286453218169800.114322660908490
430.8966678634611630.2066642730776740.103332136538837


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level200.740740740740741NOK
5% type I error level220.814814814814815NOK
10% type I error level220.814814814814815NOK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Dec/30/t12622088227f00wv8lcu2sc7h/102j7s1262208755.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/30/t12622088227f00wv8lcu2sc7h/102j7s1262208755.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/30/t12622088227f00wv8lcu2sc7h/11cfp1262208755.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/30/t12622088227f00wv8lcu2sc7h/11cfp1262208755.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/30/t12622088227f00wv8lcu2sc7h/2e2d01262208755.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/30/t12622088227f00wv8lcu2sc7h/2e2d01262208755.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/30/t12622088227f00wv8lcu2sc7h/361qz1262208755.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/30/t12622088227f00wv8lcu2sc7h/361qz1262208755.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/30/t12622088227f00wv8lcu2sc7h/4e5u01262208755.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/30/t12622088227f00wv8lcu2sc7h/4e5u01262208755.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/30/t12622088227f00wv8lcu2sc7h/59t451262208755.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/30/t12622088227f00wv8lcu2sc7h/59t451262208755.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/30/t12622088227f00wv8lcu2sc7h/6w5te1262208755.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/30/t12622088227f00wv8lcu2sc7h/6w5te1262208755.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/30/t12622088227f00wv8lcu2sc7h/7dl1a1262208755.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/30/t12622088227f00wv8lcu2sc7h/7dl1a1262208755.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/30/t12622088227f00wv8lcu2sc7h/8wnto1262208755.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/30/t12622088227f00wv8lcu2sc7h/8wnto1262208755.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/30/t12622088227f00wv8lcu2sc7h/9af5c1262208755.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/30/t12622088227f00wv8lcu2sc7h/9af5c1262208755.ps (open in new window)


 
Parameters (Session):
par1 = 1 ; par2 = Include Monthly Dummies ; par3 = Linear Trend ;
 
Parameters (R input):
par1 = 1 ; par2 = Include Monthly Dummies ; par3 = Linear Trend ;
 
R code (references can be found in the software module):
library(lattice)
library(lmtest)
n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test
par1 <- as.numeric(par1)
x <- t(y)
k <- length(x[1,])
n <- length(x[,1])
x1 <- cbind(x[,par1], x[,1:k!=par1])
mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1])
colnames(x1) <- mycolnames #colnames(x)[par1]
x <- x1
if (par3 == 'First Differences'){
x2 <- array(0, dim=c(n-1,k), dimnames=list(1:(n-1), paste('(1-B)',colnames(x),sep='')))
for (i in 1:n-1) {
for (j in 1:k) {
x2[i,j] <- x[i+1,j] - x[i,j]
}
}
x <- x2
}
if (par2 == 'Include Monthly Dummies'){
x2 <- array(0, dim=c(n,11), dimnames=list(1:n, paste('M', seq(1:11), sep ='')))
for (i in 1:11){
x2[seq(i,n,12),i] <- 1
}
x <- cbind(x, x2)
}
if (par2 == 'Include Quarterly Dummies'){
x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep ='')))
for (i in 1:3){
x2[seq(i,n,4),i] <- 1
}
x <- cbind(x, x2)
}
k <- length(x[1,])
if (par3 == 'Linear Trend'){
x <- cbind(x, c(1:n))
colnames(x)[k+1] <- 't'
}
x
k <- length(x[1,])
df <- as.data.frame(x)
(mylm <- lm(df))
(mysum <- summary(mylm))
if (n > n25) {
kp3 <- k + 3
nmkm3 <- n - k - 3
gqarr <- array(NA, dim=c(nmkm3-kp3+1,3))
numgqtests <- 0
numsignificant1 <- 0
numsignificant5 <- 0
numsignificant10 <- 0
for (mypoint in kp3:nmkm3) {
j <- 0
numgqtests <- numgqtests + 1
for (myalt in c('greater', 'two.sided', 'less')) {
j <- j + 1
gqarr[mypoint-kp3+1,j] <- gqtest(mylm, point=mypoint, alternative=myalt)$p.value
}
if (gqarr[mypoint-kp3+1,2] < 0.01) numsignificant1 <- numsignificant1 + 1
if (gqarr[mypoint-kp3+1,2] < 0.05) numsignificant5 <- numsignificant5 + 1
if (gqarr[mypoint-kp3+1,2] < 0.10) numsignificant10 <- numsignificant10 + 1
}
gqarr
}
bitmap(file='test0.png')
plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index')
points(x[,1]-mysum$resid)
grid()
dev.off()
bitmap(file='test1.png')
plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index')
grid()
dev.off()
bitmap(file='test2.png')
hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals')
grid()
dev.off()
bitmap(file='test3.png')
densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals')
dev.off()
bitmap(file='test4.png')
qqnorm(mysum$resid, main='Residual Normal Q-Q Plot')
qqline(mysum$resid)
grid()
dev.off()
(myerror <- as.ts(mysum$resid))
bitmap(file='test5.png')
dum <- cbind(lag(myerror,k=1),myerror)
dum
dum1 <- dum[2:length(myerror),]
dum1
z <- as.data.frame(dum1)
z
plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals')
lines(lowess(z))
abline(lm(z))
grid()
dev.off()
bitmap(file='test6.png')
acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function')
grid()
dev.off()
bitmap(file='test7.png')
pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function')
grid()
dev.off()
bitmap(file='test8.png')
opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0))
plot(mylm, las = 1, sub='Residual Diagnostics')
par(opar)
dev.off()
if (n > n25) {
bitmap(file='test9.png')
plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint')
grid()
dev.off()
}
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE)
a<-table.row.end(a)
myeq <- colnames(x)[1]
myeq <- paste(myeq, '[t] = ', sep='')
for (i in 1:k){
if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '')
myeq <- paste(myeq, mysum$coefficients[i,1], sep=' ')
if (rownames(mysum$coefficients)[i] != '(Intercept)') {
myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='')
if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='')
}
}
myeq <- paste(myeq, ' + e[t]')
a<-table.row.start(a)
a<-table.element(a, myeq)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Variable',header=TRUE)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,'T-STAT<br />H0: parameter = 0',header=TRUE)
a<-table.element(a,'2-tail p-value',header=TRUE)
a<-table.element(a,'1-tail p-value',header=TRUE)
a<-table.row.end(a)
for (i in 1:k){
a<-table.row.start(a)
a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE)
a<-table.element(a,mysum$coefficients[i,1])
a<-table.element(a, round(mysum$coefficients[i,2],6))
a<-table.element(a, round(mysum$coefficients[i,3],4))
a<-table.element(a, round(mysum$coefficients[i,4],6))
a<-table.element(a, round(mysum$coefficients[i,4]/2,6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple R',1,TRUE)
a<-table.element(a, sqrt(mysum$r.squared))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'R-squared',1,TRUE)
a<-table.element(a, mysum$r.squared)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Adjusted R-squared',1,TRUE)
a<-table.element(a, mysum$adj.r.squared)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (value)',1,TRUE)
a<-table.element(a, mysum$fstatistic[1])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE)
a<-table.element(a, mysum$fstatistic[2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE)
a<-table.element(a, mysum$fstatistic[3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'p-value',1,TRUE)
a<-table.element(a, 1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3]))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Residual Standard Deviation',1,TRUE)
a<-table.element(a, mysum$sigma)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Sum Squared Residuals',1,TRUE)
a<-table.element(a, sum(myerror*myerror))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable3.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Time or Index', 1, TRUE)
a<-table.element(a, 'Actuals', 1, TRUE)
a<-table.element(a, 'Interpolation<br />Forecast', 1, TRUE)
a<-table.element(a, 'Residuals<br />Prediction Error', 1, TRUE)
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,i, 1, TRUE)
a<-table.element(a,x[i])
a<-table.element(a,x[i]-mysum$resid[i])
a<-table.element(a,mysum$resid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable4.tab')
if (n > n25) {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Goldfeld-Quandt test for Heteroskedasticity',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-values',header=TRUE)
a<-table.element(a,'Alternative Hypothesis',3,header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'breakpoint index',header=TRUE)
a<-table.element(a,'greater',header=TRUE)
a<-table.element(a,'2-sided',header=TRUE)
a<-table.element(a,'less',header=TRUE)
a<-table.row.end(a)
for (mypoint in kp3:nmkm3) {
a<-table.row.start(a)
a<-table.element(a,mypoint,header=TRUE)
a<-table.element(a,gqarr[mypoint-kp3+1,1])
a<-table.element(a,gqarr[mypoint-kp3+1,2])
a<-table.element(a,gqarr[mypoint-kp3+1,3])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable5.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Description',header=TRUE)
a<-table.element(a,'# significant tests',header=TRUE)
a<-table.element(a,'% significant tests',header=TRUE)
a<-table.element(a,'OK/NOK',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'1% type I error level',header=TRUE)
a<-table.element(a,numsignificant1)
a<-table.element(a,numsignificant1/numgqtests)
if (numsignificant1/numgqtests < 0.01) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'5% type I error level',header=TRUE)
a<-table.element(a,numsignificant5)
a<-table.element(a,numsignificant5/numgqtests)
if (numsignificant5/numgqtests < 0.05) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'10% type I error level',header=TRUE)
a<-table.element(a,numsignificant10)
a<-table.element(a,numsignificant10/numgqtests)
if (numsignificant10/numgqtests < 0.1) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable6.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