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logisticP-1CM2Actual.r
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library(lattice)
eq<-function(x){0.55/(1+exp(10.1*(x-0.19)))}
eq1<-function(x){1558.9*((0.225-x)/(1-0.225))^{7.047}}
eq3<-function(x){38.937*((0.3-x)/(1-0.3))^{5.9}}
x<-seq(0,1,0.0001)
#I
Y<-c(0.020408163,
0.041666667,
0.063829787,
0.086956522,
0.111111111,
0.136363636,
0.162790698,
0.19047619,
0.219512195,
0.25,
0.282051282,
0.315789474,
0.351351351,
0.388888889,
0.428571429,
0.470588235,
0.515151515,
0.5625,
0.612903226,
0.666666667,
0.724137931,
0.785714286,
0.851851852,
0.923076923,
1)
#C-M2 L=100 P(AB)
SY<-c(0.491909385,
0.488865323,
0.478378378,
0.445846477,
0.416483516,
0.377705628,
0.342133052,
0.301262295,
0.251308901,
0.21363174,
0.18140625,
0.13711028,
0.111133574,
0.085964912,
0.052066116,
0.036006547,
0.029803922,
0.021886792,
0.008830022,
0.006550218,
0,
0,
0,
0,
0)
#C-M2 L=115 P(AB)
SY1<-c(00.488076312,
0.485409836,
0.472952087,
0.452677419,
0.421052632,
0.385448916,
0.335347432,
0.279937792,
0.240310192,
0.190373027,
0.155050629,
0.107284768,
0.081603053,
0.056831923,
0.044524669,
0.024526198,
0.018567481,
0.011644351,
0.006179197,
0.002028398,
0,
0,
0.003,
0.005,
0)
#C-M2 L=75 P(AB)
SY2<-c(0.481341448,
0.480906872,
0.47498091,
0.46884127,
0.458288633,
0.435664975,
0.416386492,
0.369475462,
0.331548185,
0.280562347,
0.243843844,
0.208045255,
0.175113901,
0.1434,
0.107986502,
0.088081808,
0.069817401,
0.048515103,
0.037228542,
0.028688525,
0.021319797,
0.016616314,
0.016591252,
0.015037594,
0.011038635)
#C-M1 L=100 P(AB)
SZ1<-c(0.276595745,
0.155688623,
0.080213904,
0.03626943,
0.016293279,
0.008056395,
0.001002004,
0.001001001,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0)
SW1<-c(0.256398929,
0.180439414,
0.140394089,
0.102564103,
0.050660793,
0.034557235,
0.018927445,
0.005122951,
0.00508647,
0.005030181,
0.001004016,
0.002,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0)
#axis(1,at=x,labels=x,las=2,tck=0.02)
#mtext(side=1,text="X axis",line=1.5)
#pach to use 24 or 2, with lwd increase border.
par(lwd=2.5,cex=1.5)
plot(x,eq(x),type="l",lwd=2.5, ylim=c(0.0003,0.5),ylab='',xlab='',tck=0.02)
par(new = TRUE,lwd=1)
plot(Y,SY1,type="p",pch=2, lwd=3.2, col="orange",bg="orange",cex=1.6,ylim=c(0.0003,0.5),axes=FALSE,ylab='',xlab='')
par(new = TRUE)
plot(Y,SY2,type="p",pch=2, lwd=3.2, col="green3",bg="green3",cex=1.6,ylim=c(0.0003,0.5),axes=FALSE,ylab='',xlab='')
par(new = TRUE)
plot(Y,SY,type="p",pch=2, lwd=3.2, col="steelblue",bg="steelblue",cex=1.6,ylim=c(0.0003,0.5),axes=FALSE,ylab='',xlab='')
par(new = TRUE)
plot(x1,eq1(x1),type="l",lwd=2.5,ylim=c(0.0003,0.5),axes=FALSE,ylab='',xlab='',tck=0.02)
par(new = TRUE)
plot(Y,SZ1,type="p",pch=2,lwd=2.5, col="red",bg="red",cex=1.3,ylim=c(0.0003,0.5),axes=FALSE,ylab='',xlab='')
par(new = TRUE)
plot(x1,eq3(x1),type="l",lwd=2.5, ylim=c(0.0003,0.5),axes=FALSE,ylab='',xlab='',tck=0.02)
par(new = TRUE)
plot(Y,SW1,type="p",pch=2, lwd=2.5, col="purple",bg="purple",cex=1.2,ylim=c(0.0003,0.5),axes=FALSE,ylab='',xlab='')
#par(new = TRUE)
legend(0.7,0.2, legend=c("Statistical", "Analytical"),col=c("black", "black"), lty=1:2, cex=0.8)
## Graficamos solo los puntos que no son 0
eq1<-function(x){0.56/(1+exp(10.4*(x-0.22)))}
eq2<-function(x){18.9*((0.225-x)/(1-0.225))^{3.447}}
eq3<-function(x){2.037*((0.3-x)/(1-0.3))^{2.16}}
x1<-seq(0,0.7,0.0001)
#I
Y1<-c(0.020408163,
0.041666667,
0.063829787,
0.086956522,
0.111111111,
0.136363636,
0.162790698,
0.19047619,
0.219512195,
0.25,
0.282051282,
0.315789474,
0.351351351,
0.388888889,
0.428571429,
0.470588235,
0.515151515,
0.5625,
0.612903226,
0.666666667)
#C-M2 L=100 P(AB)
SY1<-c(0.491909385,
0.488865323,
0.458378378,
0.445846477,
0.416483516,
0.377705628,
0.342133052,
0.301262295,
0.251308901,
0.21363174,
0.18140625,
0.13471028,
0.111133574,
0.085964912,
0.052066116,
0.036006547,
0.029803922,
0.021886792,
0.008830022,
0.006550218)
#C-M2 L=115 P(AB)
SY11<-c(0.488076312,
0.475409836,
0.472952087,
0.459677419,
0.421052632,
0.385448916,
0.335347432,
0.279937792,
0.270310192,
0.203730273,
0.170629371,
0.107284768,
0.091603053,
0.056831923,
0.044524669,
0.024526198,
0.026567481,
0.014644351,
0.006179197,
0.002028398)
#axis(1,at=x,labels=x,las=2,tck=0.02)
#mtext(side=1,text="X axis",line=1.5)
plot(x1,eq1(x1),type="l",ylim=c(0.0003,0.5),ylab='',xlab='',tck=0.02)
par(new = TRUE)
plot(x1,eq2(x1),type="l",ylim=c(0.0003,0.5),ylab='',xlab='',tck=0.02)
par(new = TRUE)
plot(x1,eq3(x1),type="l",ylim=c(0.0003,0.5),ylab='',xlab='',tck=0.02)
par(new = TRUE)
plot(Y1,SY11,type="p",ylim=c(0.0003,0.5),axes=FALSE,ylab='',xlab='')
par(new = TRUE)
plot(Y1,SY1,type="p",pch=18,ylim=c(0.0003,0.5),axes=FALSE,ylab='',xlab='')
legend(0.5,0.2, legend=c("Statistical", "Analytical"),col=c("black", "black"), lty=1:2, cex=0.8)
#Determination Coefficient between Y and SY
expf = lm(SY ~ eq(Y))
summary(expf)$r.squared