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Assignment 7 #142

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4 changes: 4 additions & 0 deletions .gitignore
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.Rproj.user
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.RData
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51 changes: 39 additions & 12 deletions Assignment7.Rmd
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Expand Up @@ -11,24 +11,35 @@ In the following assignment you will be looking at data from an one level of an

#Upload data
```{r}

D1<-read.csv("online.data.csv")
```

#Visualization
```{r}
#Start by creating histograms of the distributions for all variables (#HINT: look up "facet" in the ggplot documentation)

library(ggplot2)
library(tidyr)
library(dplyr)
D2 <- D1
D2$level.up <- ifelse(D1$level.up =="yes",1,0)
D3 <- gather(D2,"measure","score",2:7)
p <- ggplot(D3,aes(score)) +
facet_wrap(~measure,scales = "free") +
geom_histogram(stat = "count")
#Then visualize the relationships between variables

pairs(D1)
#Try to capture an intution about the data and the relationships

```
#Classification tree
```{r}
#Create a classification tree that predicts whether a student "levels up" in the online course using three variables of your choice (As we did last time, set all controls to their minimums)

library(rpart)
c.tree1 <- rpart(level.up ~ forum.posts + pre.test.score, method = "class", data = D1, control=rpart.control(minsplit=1, minbucket=1, cp=0.001))
printcp(c.tree)
#Plot and generate a CP table for your tree

plot(c.tree1)
text(c.tree1)
#Generate a probability value that represents the probability that a student levels up based your classification tree

D1$pred <- predict(rp, type = "prob")[,2]#Last class we used type = "class" which predicted the classification for us, this time we are using type = "prob" to see the probability that our classififcation is based on.
Expand All @@ -47,21 +58,27 @@ abline(0, 1, lty = 2)
unlist(slot(performance(Pred2,"auc"), "y.values"))#Unlist liberates the AUC value from the "performance" object created by ROCR

#Now repeat this process, but using the variables you did not use for the previous model and compare the plots & results of your two models. Which one do you think was the better model? Why?
pred.detail2 <- prediction(D1$messages, D1$level.up)
plot(performance(pred.detail2, "tpr", "fpr"))
abline(0, 1, lty = 2)
unlist(slot(performance(pred.detail2,"auc"), "y.values"))
```
## Part III
#Thresholds
```{r}
#Look at the ROC plot for your first model. Based on this plot choose a probability threshold that balances capturing the most correct predictions against false positives. Then generate a new variable in your data set that classifies each student according to your chosen threshold.

threshold.pred1 <-
D1$threshold.pred1 <- ifelse(D1$pred >= 0.6,1,0)
D1$truepos.model1 <- ifelse(D1$level.up == "yes" & D1$threshold.pred1 == "yes", 1, 0)
D1$falsepos.model1 <- ifelse(D1$level.up == "no" & D1$threshold.pred1 == "yes", 1,0)
D1$falseneg.model1 <- ifelse(D1$level.up == "yes" & D1$threshold.pred1 == "no", 1,0)

#Now generate three diagnostics:

D1$accuracy.model1 <-
D1$accuracy.model1 <- mean(ifelse(D1$level.up==D1$threshold.pred1,1,0))
D1$precision.model1 <- sum(D1$truepos.model1)/(sum(D1$truepos.model1)
+ sum(D1$falsepos.model1))
D1$recall.model1 <- sum(D1$truepos.model1)/(sum(D1$truepos.model1) + sum(D1$falseneg.model1))

D1$precision.model1 <-

D1$recall.model1 <-

#Finally, calculate Kappa for your model according to:

Expand All @@ -75,7 +92,17 @@ matrix1 <- as.matrix(table1)
kappa(matrix1, exact = TRUE)/kappa(matrix1)

#Now choose a different threshold value and repeat these diagnostics. What conclusions can you draw about your two thresholds?

D1$threshold.pred2 <- ifelse(D1$pred >= 0.9,1,0)
D1$truepos.model2 <- ifelse(D1$level.up == "yes" & D1$threshold.pred2 == "yes", 1, 0)
D1$falsepos.model2 <- ifelse(D1$level.up == "no" & D1$threshold.pred2 == "yes", 1,0)
D1$falseneg.model2 <- ifelse(D1$level.up == "yes" & D1$threshold.pred2 == "no", 1,0)
D1$accuracy.model2 <- mean(ifelse(D1$level.up==D1$threshold.pred2,1,0))
D1$precision.model2 <- sum(D1$truepos.model2)/(sum(D1$truepos.model2)
+ sum(D1$falsepos.model2))
D1$recall.model2 <- sum(D1$truepos.model2)/(sum(D1$truepos.model2) + sum(D1$falseneg.model2))
table2 <- table(D1$level.up, D1$threshold.pred2)
matrix2 <- as.matrix(table2)
kappa(matrix2, exact = TRUE)/kappa(matrix2)
```

### To Submit Your Assignment
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13 changes: 13 additions & 0 deletions assignment7.Rproj
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