R version 2.8.0 (2008-10-20) Copyright (C) 2008 The R Foundation for Statistical Computing ISBN 3-900051-07-0 R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > par2 = '0.5' > par1 = '500' > n <- as.numeric(par1) > p <- as.numeric(par2) > heads=rbinom(n-1,1,p) > a=2*(heads)-1 > b=diffinv(a,xi=0) > c=1:n > pheads=(diffinv(heads,xi=.5))/c > postscript(file="/var/www/html/freestat/rcomp/tmp/1tdkj1228068568.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > op=par(mfrow=c(2,1)) > plot(c,b,type='n',main='Law of Averages',xlab='Toss Number',ylab='Excess of Heads',lwd=2,cex.lab=1.5,cex.main=2) > lines(c,b,col='red') > lines(c,rep(0,n),col='black') > plot(c,pheads,type='n',xlab='Toss Number',ylab='Proportion of Heads',lwd=2,cex.lab=1.5) > lines(c,pheads,col='blue') > lines(c,rep(.5,n),col='black') > par(op) > dev.off() null device 1 > b [1] 0 1 2 1 0 1 2 1 2 1 0 1 2 1 2 1 2 3 4 3 4 3 4 5 6 [26] 7 8 7 8 7 8 9 8 9 8 9 10 11 10 11 12 11 10 9 8 7 8 7 6 5 [51] 6 5 6 5 6 5 4 5 6 7 6 7 6 7 8 7 6 7 8 9 10 11 12 11 12 [76] 13 14 15 14 15 16 15 14 15 16 15 14 13 14 13 14 13 12 11 12 13 12 13 14 15 [101] 14 13 14 15 14 13 12 13 12 11 12 13 12 13 14 13 12 11 10 9 8 9 8 7 6 [126] 5 6 7 6 7 8 9 10 9 8 9 10 9 10 9 10 11 10 9 10 9 8 9 8 7 [151] 6 7 6 5 6 7 6 5 4 3 4 3 4 3 2 3 4 3 2 1 0 -1 0 -1 -2 [176] -3 -4 -5 -4 -3 -4 -3 -2 -3 -4 -3 -4 -3 -4 -5 -6 -7 -8 -7 -8 -7 -6 -7 -6 -7 [201] -6 -5 -6 -5 -6 -5 -6 -5 -6 -5 -4 -3 -2 -3 -4 -5 -4 -3 -4 -3 -2 -1 -2 -3 -2 [226] -3 -4 -5 -4 -3 -2 -1 -2 -1 0 1 0 1 2 3 4 3 4 5 6 5 6 7 6 5 [251] 4 3 2 1 0 1 2 1 2 3 4 3 4 5 4 3 2 1 0 -1 0 -1 0 1 2 [276] 3 4 3 2 3 2 3 4 3 2 3 2 3 2 3 4 5 6 7 6 7 6 7 8 7 [301] 6 5 6 7 6 5 4 3 2 3 2 1 0 1 0 -1 -2 -1 -2 -1 -2 -3 -4 -5 -4 [326] -5 -4 -3 -2 -1 -2 -1 -2 -3 -4 -5 -4 -3 -2 -3 -4 -3 -4 -3 -2 -1 -2 -1 0 -1 [351] -2 -3 -2 -1 -2 -1 -2 -1 -2 -1 0 -1 -2 -3 -2 -1 -2 -1 0 1 0 -1 0 1 0 [376] 1 0 -1 0 1 0 1 0 1 2 1 2 3 4 5 6 5 4 3 4 5 6 7 6 5 [401] 6 7 8 7 6 7 8 9 10 9 10 9 8 7 8 9 8 7 6 5 4 3 2 3 4 [426] 3 2 1 0 -1 -2 -3 -4 -5 -4 -3 -4 -3 -4 -3 -2 -1 0 1 2 3 4 5 6 5 [451] 4 5 4 5 6 5 4 5 4 5 4 5 6 5 4 3 4 3 4 3 4 3 4 3 4 [476] 5 6 5 4 3 2 1 2 1 0 1 2 1 2 1 2 1 2 1 2 1 0 -1 -2 -1 > x <- b > postscript(file="/var/www/html/freestat/rcomp/tmp/2yc1p1228068568.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > r <- spectrum(x,main='Raw Periodogram') > dev.off() null device 1 > r $freq [1] 0.002 0.004 0.006 0.008 0.010 0.012 0.014 0.016 0.018 0.020 0.022 0.024 [13] 0.026 0.028 0.030 0.032 0.034 0.036 0.038 0.040 0.042 0.044 0.046 0.048 [25] 0.050 0.052 0.054 0.056 0.058 0.060 0.062 0.064 0.066 0.068 0.070 0.072 [37] 0.074 0.076 0.078 0.080 0.082 0.084 0.086 0.088 0.090 0.092 0.094 0.096 [49] 0.098 0.100 0.102 0.104 0.106 0.108 0.110 0.112 0.114 0.116 0.118 0.120 [61] 0.122 0.124 0.126 0.128 0.130 0.132 0.134 0.136 0.138 0.140 0.142 0.144 [73] 0.146 0.148 0.150 0.152 0.154 0.156 0.158 0.160 0.162 0.164 0.166 0.168 [85] 0.170 0.172 0.174 0.176 0.178 0.180 0.182 0.184 0.186 0.188 0.190 0.192 [97] 0.194 0.196 0.198 0.200 0.202 0.204 0.206 0.208 0.210 0.212 0.214 0.216 [109] 0.218 0.220 0.222 0.224 0.226 0.228 0.230 0.232 0.234 0.236 0.238 0.240 [121] 0.242 0.244 0.246 0.248 0.250 0.252 0.254 0.256 0.258 0.260 0.262 0.264 [133] 0.266 0.268 0.270 0.272 0.274 0.276 0.278 0.280 0.282 0.284 0.286 0.288 [145] 0.290 0.292 0.294 0.296 0.298 0.300 0.302 0.304 0.306 0.308 0.310 0.312 [157] 0.314 0.316 0.318 0.320 0.322 0.324 0.326 0.328 0.330 0.332 0.334 0.336 [169] 0.338 0.340 0.342 0.344 0.346 0.348 0.350 0.352 0.354 0.356 0.358 0.360 [181] 0.362 0.364 0.366 0.368 0.370 0.372 0.374 0.376 0.378 0.380 0.382 0.384 [193] 0.386 0.388 0.390 0.392 0.394 0.396 0.398 0.400 0.402 0.404 0.406 0.408 [205] 0.410 0.412 0.414 0.416 0.418 0.420 0.422 0.424 0.426 0.428 0.430 0.432 [217] 0.434 0.436 0.438 0.440 0.442 0.444 0.446 0.448 0.450 0.452 0.454 0.456 [229] 0.458 0.460 0.462 0.464 0.466 0.468 0.470 0.472 0.474 0.476 0.478 0.480 [241] 0.482 0.484 0.486 0.488 0.490 0.492 0.494 0.496 0.498 0.500 $spec [1] 1.516327e+03 7.512846e+02 2.135991e+03 3.662267e+02 5.599136e+01 [6] 1.851806e+02 1.394325e+02 2.267550e+02 2.152338e+02 1.547613e+02 [11] 1.806053e+01 1.043237e+02 7.415714e+01 6.329164e+00 6.383340e+01 [16] 3.048286e+01 1.963463e+01 1.802489e+01 2.477470e+01 3.241972e+00 [21] 6.190400e+00 1.490118e+00 4.196968e-01 1.656781e+01 5.730641e+00 [26] 3.273623e+00 3.224822e+01 9.782529e+00 5.971776e-01 8.551014e+00 [31] 1.858761e+01 3.743074e+00 2.948167e+00 3.693088e+00 6.592370e+00 [36] 3.506019e+00 1.293160e+01 5.820332e+00 1.427985e+00 1.112261e+00 [41] 1.541132e+00 1.454083e+00 1.781362e+00 8.471471e-01 3.240753e-02 [46] 1.536146e+00 3.782249e+00 3.690134e-02 2.527174e+00 4.384915e-01 [51] 4.000514e+00 3.305949e+00 2.060592e+00 9.914984e-01 9.109758e-01 [56] 8.548731e+00 1.147799e+00 1.050335e+00 1.258117e+00 2.499628e+00 [61] 1.192347e+00 1.186016e-01 8.517179e-01 1.770667e+00 1.631756e-01 [66] 4.614552e-01 1.441143e+00 9.508859e-01 1.074447e+00 3.286664e+00 [71] 5.383862e-01 1.035245e+00 1.824096e+00 3.388588e-01 4.862593e-01 [76] 3.751759e-01 2.271964e+00 2.038822e+00 6.250014e-01 3.043025e-01 [81] 6.435735e-01 1.041246e-01 7.648587e-01 2.034838e-02 5.528407e-01 [86] 9.674774e-01 3.824625e+00 2.127665e+00 2.724484e-01 9.321222e-01 [91] 1.054898e+00 1.103218e+00 3.295843e-01 7.254868e-02 7.319229e-02 [96] 1.410266e+00 9.491389e-01 1.175191e+00 9.318655e-01 5.421042e-02 [101] 3.490923e-01 7.913791e-01 1.067742e+00 5.566859e-01 1.642480e-01 [106] 7.878977e-01 2.617005e+00 1.469734e+00 5.821068e-01 1.179726e-01 [111] 1.345944e+00 1.324493e-01 1.282480e-03 1.478189e+00 1.402367e-01 [116] 5.344517e-01 8.816067e-01 1.263339e+00 3.642416e-01 3.132801e-01 [121] 6.622888e-02 4.630491e-01 9.944608e-02 5.102978e-01 6.629165e-01 [126] 3.012265e-01 9.432142e-02 2.808863e+00 7.985004e-01 5.713187e-01 [131] 4.142566e-01 1.379783e+00 2.085735e-01 1.046775e+00 4.673403e-01 [136] 2.230268e-01 7.283060e-02 1.252980e-01 2.638618e-01 5.090573e-02 [141] 5.539710e-01 2.907906e-01 2.936412e-01 3.073110e-01 1.140073e+00 [146] 1.761966e-01 4.035874e-01 9.208250e-01 1.938415e-01 2.303138e-01 [151] 3.012985e-01 2.061759e-01 3.409934e-01 3.029430e-01 4.425080e-01 [156] 2.930043e-02 2.215649e-01 2.574334e-02 1.125968e-01 4.069686e-01 [161] 6.511290e-01 4.532918e-01 1.198213e+00 4.037119e-03 1.216538e-01 [166] 2.502480e-02 5.863421e-01 1.143405e-01 1.855667e-02 1.698314e-01 [171] 1.099991e-01 1.502539e-02 1.925055e-01 3.774650e-01 1.053127e-01 [176] 2.676528e-01 1.888282e-01 1.329789e-01 2.565759e-01 1.236458e-01 [181] 9.122100e-01 8.844779e-01 3.581530e-01 2.143284e-01 2.751341e-01 [186] 9.856338e-01 4.074742e-01 9.388456e-02 1.573076e-03 1.158664e-01 [191] 4.922477e-01 2.445552e-01 8.612755e-02 4.011018e-01 4.809219e-01 [196] 2.041415e-02 3.962762e-03 2.710949e-02 2.013024e-02 2.403177e-01 [201] 6.131551e-02 1.054381e-02 1.626740e-01 2.261040e-01 5.895355e-02 [206] 1.879357e-01 2.266100e-01 5.581589e-01 4.649545e-01 7.356657e-01 [211] 2.777663e-01 6.513074e-02 5.176111e-01 3.739261e-01 3.217371e-01 [216] 1.555677e-01 2.938950e-01 5.717455e-01 8.142945e-02 6.078486e-02 [221] 2.034495e-01 4.271520e-01 2.307109e-02 2.290480e-01 2.143460e-01 [226] 1.090828e+00 1.269334e-01 1.684835e-01 5.235343e-02 5.753167e-01 [231] 2.390591e-02 9.275181e-01 2.862996e-02 2.083877e-01 3.861019e-02 [236] 2.599508e-01 2.504804e-01 3.759271e-01 5.923553e-02 5.508127e-02 [241] 2.966645e-02 1.919302e-01 2.082056e-01 6.411491e-01 1.181464e-01 [246] 3.167692e-01 6.709930e-02 9.754636e-02 4.361206e-01 2.160341e-01 $coh NULL $phase NULL $kernel NULL $df [1] 1.791590 $bandwidth [1] 0.0005773503 $n.used [1] 500 $orig.n [1] 500 $series [1] "x" $snames NULL $method [1] "Raw Periodogram" $taper [1] 0.1 $pad [1] 0 $detrend [1] TRUE $demean [1] FALSE attr(,"class") [1] "spec" > postscript(file="/var/www/html/freestat/rcomp/tmp/3hqjp1228068568.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > cpgram(x,main='Cumulative Periodogram') > dev.off() null device 1 > system("convert tmp/1tdkj1228068568.ps tmp/1tdkj1228068568.png") > system("convert tmp/2yc1p1228068568.ps tmp/2yc1p1228068568.png") > system("convert tmp/3hqjp1228068568.ps tmp/3hqjp1228068568.png") > > > proc.time() user system elapsed 1.073 0.754 1.283