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Predicting NFL draft pick based on combine stats
\documentclass[12pt]{article}
\usepackage{multirow}
\usepackage[table,xcdraw]{xcolor}
\begin{document}
\begin{table}[h]
\begin{tabular}{|c|c|c|c|}
\hline
\multicolumn{2}{|c|}{} & \multicolumn{2}{c|}{\textbf{Actual}} \\ \cline{3-4}
\multicolumn{2}{|c|}{\multirow{-2}{*}{\textbf{QUARTERBACKS}}} & Drafted & Undrafted \\ \hline
& Drafted & 3 & 3 \\ \cline{2-4}
\multirow{-2}{*}{\textbf{Predicted}} & Undrafted & 13 & 15 \\ \hline
\textit{F1-Score} & {\color[HTML]{3531FF} 27\%} & \textit{Accuracy} & {\color[HTML]{3531FF} 53\%} \\ \hline
\end{tabular}
\vspace{5mm}
\begin{tabular}{|c|c|c|c|}
\hline
\multicolumn{2}{|c|}{} & \multicolumn{2}{c|}{\textbf{Actual}} \\ \cline{3-4}
\multicolumn{2}{|c|}{\multirow{-2}{*}{\textbf{RUNNING BACKS}}} & Drafted & Undrafted \\ \hline
& Drafted & 13 & 12 \\ \cline{2-4}
\multirow{-2}{*}{\textbf{Predicted}} & Undrafted & 15 & 26 \\ \hline
\textit{F1-Score} & {\color[HTML]{3531FF} 49\%} & \textit{Accuracy} & {\color[HTML]{3531FF} 59\%} \\ \hline
\end{tabular}
\vspace{5mm}
\begin{tabular}{|c|c|c|c|}
\hline
\multicolumn{2}{|c|}{} & \multicolumn{2}{c|}{\textbf{Actual}} \\ \cline{3-4}
\multicolumn{2}{|c|}{\multirow{-2}{*}{\textbf{WIDE RECEIVERS}}} & Drafted & Undrafted \\ \hline
& Drafted & 14 & 4 \\ \cline{2-4}
\multirow{-2}{*}{\textbf{Predicted}} & Undrafted & 15 & 51 \\ \hline
\textit{F1-Score} & {\color[HTML]{3531FF} 60\%} & \textit{Accuracy} & {\color[HTML]{3531FF} 77\%} \\ \hline
\end{tabular}
\vspace{5mm}
\begin{tabular}{|c|c|c|c|}
\hline
\multicolumn{2}{|c|}{} & \multicolumn{2}{c|}{\textbf{Actual}} \\ \cline{3-4}
\multicolumn{2}{|c|}{\multirow{-2}{*}{\textbf{QUARTERBACKS}}} & Drafted & Undrafted \\ \hline
& Drafted & 5 & 7 \\ \cline{2-4}
\multirow{-2}{*}{\textbf{Predicted}} & Undrafted & 11 & 11 \\ \hline
\textit{F1-Score} & {\color[HTML]{3531FF} 36\%} & \textit{Accuracy} & {\color[HTML]{3531FF} 47\%} \\ \hline
\end{tabular}
\vspace{5mm}
\begin{tabular}{|c|c|c|c|}
\hline
\multicolumn{2}{|c|}{} & \multicolumn{2}{c|}{\textbf{Actual}} \\ \cline{3-4}
\multicolumn{2}{|c|}{\multirow{-2}{*}{\textbf{RUNNING BACKS}}} & Drafted & Undrafted \\ \hline
& Drafted & 12 & 9 \\ \cline{2-4}
\multirow{-2}{*}{\textbf{Predicted}} & Undrafted & 16 & 29 \\ \hline
\textit{F1-Score} & {\color[HTML]{3531FF} 49\%} & \textit{Accuracy} & {\color[HTML]{3531FF} 62\%} \\ \hline
\end{tabular}
\vspace{5mm}
\begin{tabular}{|c|c|c|c|}
\hline
\multicolumn{2}{|c|}{} & \multicolumn{2}{c|}{\textbf{Actual}} \\ \cline{3-4}
\multicolumn{2}{|c|}{\multirow{-2}{*}{\textbf{WIDE RECEIVERS}}} & Drafted & Undrafted \\ \hline
& Drafted & 14 & 11 \\ \cline{2-4}
\multirow{-2}{*}{\textbf{Predicted}} & Undrafted & 15 & 44 \\ \hline
\textit{F1-Score} & {\color[HTML]{3531FF} 52\%} & \textit{Accuracy} & {\color[HTML]{3531FF} 69\%} \\ \hline
\end{tabular}
\end{table}
\end{document}
library(rpart.plot)
library(randomForest)
library(MASS)
library(class)
library(rpart)
library(ROCR)
getwd()
setwd("C:\\Users\\Ilan Man\\Desktop\\Personal\\513750b0909ba1b06202")
original_data = read.csv('combine.csv')
data_2013 <- original_data[original_data$Year%in%c(2013,2012),
names(original_data)%in% c("Year","Position","FortyYD",
"Bench","Broad","Vertical",
"TwentySS","HeightInchesTotal","PickTotal")]
data <- original_data[original_data$Year<2012,names(original_data)%in% c("Year","Position","FortyYD",
"Bench","Broad","Vertical",
"TwentySS","HeightInchesTotal","PickTotal")]
original_data$Picked <- ifelse(original_data$PickTotal==0,0,1)
data$Picked <- ifelse(data$PickTotal==0,0,1)
logistic_model <- function(train, test){
#### LOGISTIC REGRESSION ####
full.fit <- glm(Picked ~., data=train,family='binomial')
backwards = step(full.fit,trace=0)
log.prediction <- predict(backwards,newdata=test,type='response')
return(list(log.prediction,backwards))
}
tree_model <- function(train, test){
#### DECISION TREES ####
tree <- rpart(Picked~.,data=train)
tree.prediction <- predict(tree,test[,-8])
return(list(tree.prediction,tree))
}
rf_model <- function(train, test){
#### RANDOM FOREST ####
forest <- randomForest(factor(Picked)~.,data=train,
importance=TRUE,keep.forest=TRUE,
ytest=as.factor(test$Picked),xtest=test[,-7],norm.votes=TRUE)
return(list(forest$test$votes[,2],forest))
}
knn_model <- function(train,test){
#### K-NEAREST NEIGHBORS ####
numeric.train <- model.matrix(Picked ~. , data=train)
numeric.test <- model.matrix(Picked ~. , data=test)
s.train <- scale(numeric.train[,-1])
s.test <- scale(numeric.test[,-1])
knn.fit <- knn(s.train,s.test,cl = train$Picked,k=5,prob=T)
return(attr(knn.fit,'prob'))
}
create_data <- function(data, position){
'""
Return a list of training and testing sets, and actual class labels, based on the position the user selects
Perform light data clean up by removing the Year of the draft and the actual draft number, if drafted
""'
data = data[data$Position==position,-c(which(names(data) %in% c("Position","Year","PickTotal")))]
## Use 1/3 of the data for training and 2/3 for testing
ind <- sample(rownames(data),floor(nrow(data)/3))
train <- data[rownames(data) %in% ind,]
test <- data[!(rownames(data) %in% ind),]
actual <- as.factor(test[,7])
return(list(train, test, actual))
}
score <- function(predictm,actual,plotting, model){
'""
Returns 3 classification metrics: F1-measure, AUC (Area under the ROC curve) and Accuracy
Optionally, plot the ROC curve and accuracy curve for different false positive and true positive rates
""'
pred <- prediction(as.numeric(predictm),actual)
fperf <- performance(pred,'f')
fm <- max(fperf@y.values[[1]],na.rm=T)
acperf <- performance(pred,'acc')
acc <- max(acperf@y.values[[1]],na.rm=T)
aucm <- performance(pred,'auc')@y.values[[1]]
if(plotting==T){
plot(performance(pred,'tpr','fpr'),main=paste('model roc\n',model))
plot(acperf,main=paste('model accuracy\n',model))
}
return(data.frame(aucm,fm,acc))
}
get_ensemble_results <- function(data, position, plotting){
'""
Return a list consisting of:
1) data frame of results from an ensemble of models used to predict whether or not a player
gets drafted based on their stats from the combine
2) the models
""'
## Pull out data specific to the position
new_data <- create_data(data,position)
train <- new_data[[1]]
test <- new_data[[2]]
actual <- new_data[[3]]
tm <- tree_model(train, test)
lm <- logistic_model(train,test)
km <- knn_model(train, test)
rm <- rf_model(train, test)
## Run scoring function on four models
## Plot ROC and Accuracy curve, optional
tree_output <- score(tm[[1]],actual,plotting,'tree')
logistic_output <- score(lm[[1]],actual,plotting,'logistic')
knn_output <- score(km,actual,plotting,'knn')
rf_output <- score(rm[[1]],actual,plotting,'randomForest')
## Create data frame of results
models = c("Decision Tree","Logistic Regression","K-nearest neighbors","Random Forest")
f1_scores = c(tree_output$fm,logistic_output$fm,knn_output$fm,rf_output$fm)
auc_scores = c(tree_output$aucm,logistic_output$aucm,knn_output$aucm,rf_output$aucm)
acc_scores = c(tree_output$acc,logistic_output$acc,knn_output$acc,rf_output$acc)
ensemble_summary = data.frame(Model=models,
F1=f1_scores,
AUC=auc_scores,
ACC=acc_scores)
return(list(ensemble_summary,tm[[2]],lm[[2]],rm[[2]]))
}
final_results <- function(pos){
for (p in pos){
ensemble_summary = get_ensemble_results(data, position=p,plotting=F)
all_models = ensemble_summary[[1]]
print(p)
t_m = ensemble_summary[[2]]
l_m = ensemble_summary[[3]]
r_m = ensemble_summary[[4]]
d_2013 <- data_2013[data_2013$Position==p,-c(which(names(data_2013) %in% c("Position","Year")))]
d_2013$Picked <- factor(ifelse(d_2013$PickTotal>0,1,0))
d_2013$PickTotal <- NULL
actual_2013 <- ifelse(d_2013$Picked==0,0,1)
rf_prediction <- predict(r_m,d_2013[,-7],'prob')
lm_prediction <- predict(l_m,d_2013,type='response')
tm_prediction <- predict(t_m,d_2013)
results <- rbind(score(rf_prediction[,2],actual_2013,TRUE,'randomForest'),
score(lm_prediction,actual_2013,TRUE,'logistic'),
score(tm_prediction,actual_2013,TRUE,'tree'))
summary_results <- cbind(model=c("Random Forest","Logistic Regression","Decision Trees"),results)
print(summary_results)
}
}
pos = c('QB','RB','WR','CB','OLB')
final_results(pos)
## Compare models to hueristic
h_pos = pos[3]
ensemble_summary = get_ensemble_results(data, position=h_pos,plotting=F)
all_models = ensemble_summary[[1]]
t_m = ensemble_summary[[2]]
l_m = ensemble_summary[[3]]
r_m = ensemble_summary[[4]]
d_2013 <- data_2013[data_2013$Position==h_pos,-c(which(names(data_2013) %in% c("Position","Year")))]
d_2013$Picked <- factor(ifelse(d_2013$PickTotal>0,1,0))
d_2013$PickTotal <- NULL
actual_2013 <- ifelse(d_2013$Picked==0,0,1)
players <- original_data[original_data$Year%in%c(2013,2012),
names(original_data)%in%c("Name","PickTotal","Position")]
players$Picked <- ifelse(players$PickTotal==0,0,1)
players$PickTotal <- NULL
players <- players[players$Position==h_pos,]
rf_prediction <- predict(r_m,d_2013[,-7],'prob')
lm_prediction <- predict(l_m,d_2013,type='response')
tm_prediction <- predict(t_m,d_2013)
rf_class <- predict(r_m,d_2013[,-7],'class')
l_class <- ifelse(lm_prediction>=0.5,1,0)
t_class <- ifelse(tm_prediction>=0.5,1,0)
table(rf_class,players$Picked)
table(l_class,players$Picked)
table(t_class,players$Picked)
high_jumpers <- d_2013$Vertical>median(d_2013$Vertical)
fast <- d_2013$FortyYD<median(d_2013$FortyYD)
hueristic <- ifelse(high_jumpers|fast,1,0)
table(hueristic,players$Picked)
## DATA FOR PLOTTING ROC CURVES IN D3
## Select best model at each position for use in ROC curve
roc_wr <- predict(l_m,actual_2013,type='response')
pred_wr <- prediction(as.numeric(roc_wr),actual_2013)
wr.x <- performance(pred_wr,'tpr','fpr')@x.values[[1]]
wr.y <- performance(pred_wr,'tpr','fpr')@y.values[[1]]
write.csv(cbind(wr.x,wr.y),"wr.csv")
roc_olb <- predict(l_m,d_2013,type='response')
pred_olb <- prediction(as.numeric(roc_olb),actual_2013)
olb.x <- performance(pred_o,'tpr','fpr')@x.values[[1]]
olb.y <- performance(pred_o,'tpr','fpr')@y.values[[1]]
write.csv(cbind(olb.x,olb.y),"olb.csv")
roc_rb <- rf_prediction[,2]
pred_rb <- prediction(as.numeric(roc_rb),actual_2013)
rb.x <- performance(pred_rb,'tpr','fpr')@x.values[[1]]
rb.y <- performance(pred_rb,'tpr','fpr')@y.values[[1]]
write.csv(cbind(rb.x,rb.y),"rb.csv")
roc_qb <- predict(l_m,d_2013)
pred_qb <- prediction(as.numeric(roc_qb),actual_2013)
qb.x <- performance(pred_qb,'tpr','fpr')@x.values[[1]]
qb.y <- performance(pred_qb,'tpr','fpr')@y.values[[1]]
write.csv(cbind(qb.x,qb.y),"qb.csv")
library(ggplot2)
library(gridExtra)
library(grid)
getwd()
setwd("C:\\Users\\Ilan Man\\Desktop\\Personal\\513750b0909ba1b06202")
original_data = read.csv('combine.csv')
levels(data$Position)
WR = original_data[original_data$Position=='WR'&original_data$Year>2005,]
QB = original_data[original_data$Position=='QB'&original_data$Year>2005,]
RB = original_data[original_data$Position=='RB'&original_data$Year>2005,]
CB = original_data[original_data$Position=='CB'&original_data$Year>2005,]
############
# FORTY YARD DASH
############
RB_f <- data.frame(cbind(RB$Year,RB$FortyYD))
names(RB_f) <- c("Year","FortyYD")
RB_f <- RB_f[!RB_f$FortyYD==0,]
rf <- ggplot(RB_f,aes(x=Year,y=FortyYD))+geom_boxplot(aes(group=RB_f$Year))+
ggtitle("Running Back\nFortyYD")+ylab("Seconds")+
scale_x_continuous(breaks = seq(min(RB_f$Year), max(RB_f$Year), by = 1))
QB_f <- data.frame(cbind(QB$Year,QB$FortyYD))
names(QB_f) <- c("Year","FortyYD")
QB_f <- QB_f[!QB_f$FortyYD==0,]
qf <- ggplot(QB_f,aes(x=Year,y=FortyYD))+geom_boxplot(aes(group=QB_f$Year))+
ggtitle("QB FortyYD")+ylab("Seconds")+
scale_x_continuous(breaks = seq(min(QB_f$Year), max(QB_f$Year), by = 1))
CB_f <- data.frame(cbind(CB$Year,CB$FortyYD))
names(CB_f) <- c("Year","FortyYD")
CB_f <- CB_f[!CB_f$FortyYD==0,]
cf <- ggplot(CB_f,aes(x=Year,y=FortyYD))+geom_boxplot(aes(group=CB_f$Year))+
ggtitle("CB FortyYD")+ylab("Seconds")+
scale_x_continuous(breaks = seq(min(CB_f$Year), max(CB_f$Year), by = 1))
WR_f <- data.frame(cbind(WR$Year,WR$FortyYD))
names(WR_f) <- c("Year","FortyYD")
WR_f <- WR_f[!WR_f$FortyYD==0,]
wf <- ggplot(WR_f,aes(x=Year,y=FortyYD))+geom_boxplot(aes(group=WR_f$Year))+
ggtitle("CB FortyYD")+ylab("Seconds")+
scale_x_continuous(breaks = seq(min(WR_f$Year), max(WR_f$Year), by = 1))
grid.arrange(rf,wf,cf,qf)
############
# VERTICAL
############
RB_v <- data.frame(cbind(RB$Year,RB$Vertical))
names(RB_v) <- c("Year","Vertical")
RB_v <- RB_v[!RB_v$Vertical==0,]
rv <- ggplot(RB_v,aes(x=Year,y=Vertical))+geom_boxplot(aes(group=RB_v$Year))+
ggtitle("RB Vertical")+ylab("Inches")+ylim(20,45)+
scale_x_continuous(breaks = seq(min(RB_v$Year), max(RB_v$Year), by = 1))
QB_v <- data.frame(cbind(QB$Year,QB$Vertical))
names(QB_v) <- c("Year","Vertical")
QB_v <- QB_v[!QB_v$Vertical==0,]
qv <- ggplot(QB_v,aes(x=Year,y=Vertical))+geom_boxplot(aes(group=QB_v$Year))+
ggtitle("QB Vertical")+ylab("Inches")+ylim(20,45)+
scale_x_continuous(breaks = seq(min(QB_v$Year), max(QB_v$Year), by = 1))
CB_v <- data.frame(cbind(CB$Year,CB$Vertical))
names(CB_v) <- c("Year","Vertical")
CB_v <- CB_v[!CB_v$Vertical==0,]
cv <- ggplot(CB_v,aes(x=Year,y=Vertical))+geom_boxplot(aes(group=CB_v$Year))+
ggtitle("CB Vertical")+ylab("Inches")+ylim(20,45)+
scale_x_continuous(breaks = seq(min(CB_v$Year), max(CB_v$Year), by = 1))
WR_v <- data.frame(cbind(WR$Year,WR$Vertical))
names(WR_v) <- c("Year","Vertical")
WR_v <- WR_v[!WR_v$Vertical==0,]
wv <- ggplot(WR_v,aes(x=Year,y=Vertical))+geom_boxplot(aes(group=WR_v$Year))+
ggtitle("WR Vertical")+ylab("Inches")+ylim(20,45)+
scale_x_continuous(breaks = seq(min(WR_v$Year), max(WR_v$Year), by = 1))
grid.arrange(qv,rv,cv,wv)
############
# Broad
############
RB_b <- data.frame(cbind(RB$Year,RB$Broad))
names(RB_b) <- c("Year","Broad")
RB_b <- RB_b[!RB_b$Broad==0,]
rb <- ggplot(RB_b,aes(x=Year,y=Broad))+geom_boxplot(aes(group=RB_b$Year))+
ggtitle("RB Broad")+ylab("Inches")+ylim(90,140)+
scale_x_continuous(breaks = seq(min(RB_b$Year), max(RB_b$Year), by = 1))
QB_b <- data.frame(cbind(QB$Year,QB$Broad))
names(QB_b) <- c("Year","Broad")
QB_b <- QB_b[!QB_b$Broad==0,]
qb <- ggplot(QB_b,aes(x=Year,y=Broad))+geom_boxplot(aes(group=QB_b$Year))+
ggtitle("QB Broad")+ylab("Inches")+ylim(90,140)+
scale_x_continuous(breaks = seq(min(QB_b$Year), max(QB_b$Year), by = 1))
CB_b <- data.frame(cbind(CB$Year,CB$Broad))
names(CB_b) <- c("Year","Broad")
CB_b <- CB_b[!CB_b$Broad==0,]
cb <- ggplot(CB_b,aes(x=Year,y=Broad))+geom_boxplot(aes(group=CB_b$Year))+
ggtitle("CB Broad")+ylab("Inches")+ylim(90,140)+
scale_x_continuous(breaks = seq(min(CB_b$Year), max(CB_b$Year), by = 1))
WR_b <- data.frame(cbind(WR$Year,WR$Broad))
names(WR_b) <- c("Year","Broad")
WR_b <- WR_b[!WR_b$Broad==0,]
wb <- ggplot(WR_b,aes(x=Year,y=Broad))+geom_boxplot(aes(group=WR_b$Year))+
ggtitle("WR Broad")+ylab("Inches")+ylim(90,140)+
scale_x_continuous(breaks = seq(min(WR_b$Year), max(WR_b$Year), by = 1))
grid.arrange(qb,rb,cb,wb)
<!DOCTYPE html>
<meta charset="utf-8">
<style> /* set the CSS */
body { font: 12px Arial;}
path {
stroke: steelblue;
stroke-width: 3;
fill: none;
}
.axis path,
.axis line {
fill: none;
stroke: grey;
stroke-width: 2;
shape-rendering: crispEdges;
}
.axis text {
fill:red;
shape-rendering: crispEdges;
}
.d3-tip {
font-family: Verdana;
background: rgba(0, 0, 0, 0.8);
padding: 8px;
color: #fff;
z-index: 5070;
}
</style>
<body>
<!-- load the d3.js library -->
<script src="http://d3js.org/d3.v3.min.js"></script>
<script src="http://labratrevenge.com/d3-tip/javascripts/d3.tip.v0.6.3.js"></script>
<script>
// Set the dimensions of the canvas / graph
var margin = {top: 30, right: 20, bottom: 70, left: 50},
width = 400 - margin.left - margin.right,
height = 350 - margin.top - margin.bottom;
// Set the ranges
var x = d3.scale.linear().range([0, width]);
var y = d3.scale.linear().range([height, 0]);
// Define the axes
var xAxis = d3.svg.axis().scale(x)
.orient("bottom").ticks(5);
var yAxis = d3.svg.axis().scale(y)
.orient("left").ticks(5);
// Define the line
var valueline = d3.svg.line()
.interpolate("basis")
.x(function(d) { return x(d.X); })
.y(function(d) { return y(d.QB); });
var valueline2 = d3.svg.line()
.interpolate("basis")
.x(function(d) { return x(d.X); })
.y(function(d) { return y(d.WR); });
var valueline3 = d3.svg.line()
.interpolate("basis")
.x(function(d) { return x(d.X); })
.y(function(d) { return y(d.OLB); });
var valueline4 = d3.svg.line()
.interpolate("basis")
.x(function(d) { return x(d.X); })
.y(function(d) { return y(d.RB); });
var valueline5 = d3.svg.line()
.interpolate("basis")
.x(function(d) { return x(d.X); })
.y(function(d) { return y(d.USELESS); });
var tip = d3.tip()
.attr('class', 'd3-tip')
.style("visibility","visible")
.offset([-20, 0])
.html(function(d) {
return "Quarterback";
});
var tip2 = d3.tip()
.attr('class', 'd3-tip')
.style("visibility","visible")
.offset([-20, 0])
.html(function(d) {
return "Wide Receiver";
});
var tip3 = d3.tip()
.attr('class', 'd3-tip')
.style("visibility","visible")
.offset([-20, 0])
.html(function(d) {
return "Offensive Line Backer";
});
var tip4 = d3.tip()
.attr('class', 'd3-tip')
.style("visibility","visible")
.offset([-20, 0])
.html(function(d) {
return "Running Back";
});
var tip5 = d3.tip()
.attr('class', 'd3-tip')
.style("visibility","visible")
.offset([-20, 0])
.html(function(d) {
return "Useless";
});
// Adds the svg canvas
var svg = d3.select("body")
.append("svg")
.attr("width", width + margin.left + margin.right)
.attr("height", height + margin.top + margin.bottom)
.append("g")
.attr("transform",
"translate(" + margin.left + "," + margin.top + ")");
data = [{"X":"0","WR":"0.2","OLB":"0.36363636","QB":"0.11111111","RB":"0.13157895","USELESS":"0"},
{"X":"0.001","WR":"0.2","OLB":"0.36363636","QB":"0.11111111","RB":"0.13157895","USELESS":"0.001"},
{"X":"0.002","WR":"0.2","OLB":"0.36363636","QB":"0.11111111","RB":"0.13157895","USELESS":"0.002"},
{"X":"0.003","WR":"0.2","OLB":"0.36363636","QB":"0.11111111","RB":"0.13157895","USELESS":"0.003"},
{"X":"0.004","WR":"0.2","OLB":"0.36363636","QB":"0.11111111","RB":"0.13157895","USELESS":"0.004"},
{"X":"0.005","WR":"0.2","OLB":"0.36363636","QB":"0.11111111","RB":"0.13157895","USELESS":"0.005"},
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{"X":"0.958","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.958"},
{"X":"0.959","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.959"},
{"X":"0.96","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.96"},
{"X":"0.961","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.961"},
{"X":"0.962","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.962"},
{"X":"0.963","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.963"},
{"X":"0.964","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.964"},
{"X":"0.965","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.965"},
{"X":"0.966","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.966"},
{"X":"0.967","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.967"},
{"X":"0.968","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.968"},
{"X":"0.969","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.969"},
{"X":"0.97","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.97"},
{"X":"0.971","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.971"},
{"X":"0.972","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.972"},
{"X":"0.973","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.973"},
{"X":"0.974","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.974"},
{"X":"0.975","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.975"},
{"X":"0.976","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.976"},
{"X":"0.977","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.977"},
{"X":"0.978","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.978"},
{"X":"0.979","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.979"},
{"X":"0.98","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.98"},
{"X":"0.981","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.981"},
{"X":"0.982","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.982"},
{"X":"0.983","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.983"},
{"X":"0.984","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.984"},
{"X":"0.985","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.985"},
{"X":"0.986","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.986"},
{"X":"0.987","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.987"},
{"X":"0.988","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.988"},
{"X":"0.989","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.989"},
{"X":"0.99","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.99"},
{"X":"0.991","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.991"},
{"X":"0.992","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.992"},
{"X":"0.993","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.993"},
{"X":"0.994","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.994"},
{"X":"0.995","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.995"},
{"X":"0.996","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.996"},
{"X":"0.997","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.997"},
{"X":"0.998","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.998"},
{"X":"0.999","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"0.999"},
{"X":"1","WR":"1","OLB":"1","QB":"1","RB":"1","USELESS":"1"}]
// Scale the range of the data
x.domain([0, 1]);
y.domain([0, 1]);
svg.call(tip);
svg.call(tip2);
svg.call(tip3);
svg.call(tip4);
svg.call(tip5);
// Add the valueline path.
svg.append("path")
.attr("class", "line")
.attr("d", valueline(data))
.on('mouseover', tip.show)
.on("mousemove", function(){return tip.style("top", (event.pageY-10)+"px").
style("left",(event.pageX+10)+"px");})
.on('mouseout', tip.hide);
svg.append("path")
.style("stroke", "red")
.attr("d", valueline2(data))
.on('mouseover', tip2.show)
.on("mousemove", function(){return tip2.style("top", (event.pageY-10)+"px").
style("left",(event.pageX+10)+"px");})
.on('mouseout', tip2.hide);
svg.append("path")
.style("stroke", "green")
.attr("d", valueline3(data))
.on('mouseover', tip3.show)
.on("mousemove", function(){return tip3.style("top", (event.pageY-10)+"px").
style("left",(event.pageX+10)+"px");})
.on('mouseout', tip3.hide);
svg.append("path")
.style("stroke", "purple")
.attr("d", valueline4(data))
.on('mouseover', tip4.show)
.on("mousemove", function(){return tip4.style("top", (event.pageY-10)+"px").
style("left",(event.pageX+10)+"px");})
.on('mouseout', tip4.hide);
svg.append("path")
.style("stroke", "black")
.attr("d", valueline5(data))
.on('mouseover', tip5.show)
.on("mousemove", function(){return tip5.style("top", (event.pageY-10)+"px").
style("left",(event.pageX+10)+"px");})
.on('mouseout', tip5.hide);
// Add the X Axis
svg.append("g")
.attr("class", "x axis")
.attr("transform", "translate(0," + height + ")")
.call(xAxis)
.append("text")
.attr("x", width / 2)
.attr("y", 40 )
.style("text-anchor", "middle")
.text("1 - False Negative Rate");
// Add the Y Axis
svg.append("g")
.attr("class", "y axis")
.call(yAxis)
.append("text")
.attr("transform", "rotate(-90)")
.attr("y", 0 - margin.left + 10 )
.attr("x", 0 - height/1.6 )
.style("font-size","12px")
.style("text-anchor", "left")
.text("True Positive Rate");
svg.append("text")
.attr("x", (width / 2))
.attr("y", 0 - (margin.top / 2))
.attr("text-anchor", "middle")
.style("font-size", "16px")
.text("ROC Curve for by Position");
//});
</script>
</body>
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