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29 changes: 10 additions & 19 deletions bikes_analysis.R
Original file line number Diff line number Diff line change
Expand Up @@ -177,24 +177,16 @@ kruskal.test(count ~ windspeed, data=train)
summary(aov(count ~ day, data=train))

summary(aov(count ~ hour, data=train))

summary(aov(count ~ season, data=train))

summary(aov(count ~ weather, data=train))

summary(aov(count ~ day+hour, data=train))
anova.fit <- aov(count ~ day+hour+season, data=train)

summary(aov(count ~ day+hour+season, data=train))

anova.fit <- aov(log(count + 1) ~ day+hour+season+weather+year, data=train)
summary(anova.fit)

print(model.tables(anova.fit,"means"),digits=3)

par(mfrow=c(2,2))
plot(anova.fit)

#pairwise.t.test(train$count, train$day, p.adjust="bonferroni")



Expand Down Expand Up @@ -247,7 +239,7 @@ library(leaps)
library(caret)

train.model.mat <- model.matrix(formula, data=train.data)

set.seed(1)
k.cv = 10
p <- dim(train.model.mat)[2] - 1
Expand Down Expand Up @@ -284,8 +276,9 @@ summary(lm.bestfit)
par(mfrow=c(2,2))
plot(lm.bestfit)


#### Forward selection with log transformed response variable ####
###########################################
#### Log transformed response variable ####
###########################################

# Specify functional form
formulalog <- as.formula(log(count)~.)
Expand Down Expand Up @@ -344,7 +337,7 @@ library(boot)
# 0.89 adj r^2
f <- as.formula(count~(atemp+humidity+windspeed+days.from.start+holiday+day)*hour)
rf <- glm(f, data=train)
cv.glm(train, rf, K = 5)$delta[1]
cvs <- cv.glm(train, rf, K = 10)$delta[1]
summary(lm(f, data=train))

f <- as.formula(log(count)~(atemp+humidity+windspeed+days.from.start+holiday+day)*hour)
Expand All @@ -356,8 +349,8 @@ summary(lm(f, data=train))


f <- as.formula(count~season+atemp+humidity+windspeed+hour+day+days.from.start+weather)
#rf <- glm(f, data=train)
#cv.glm(train, rf, K = 7)$delta[1]
rf <- glm(f, data=train)
cv.glm(train, rf, K = 7)$delta[1]
summary(lm(f, data=train))

f <- as.formula(log(count)~(atemp+humidity+windspeed+days.from.start+holiday+day*hour))
Expand Down Expand Up @@ -404,17 +397,15 @@ lines(lower, lwd=2, col='grey', lty=2)
#######################
library(mgcv)
library(gamclass)
#form <- as.formula(log(count)~s(as.integer(hour))+s(humidity)+s(temp)+s(windspeed)+s(as.integer(days.from.start))
form <- as.formula(log(count)~hour+weather+ns(humidity)+ns(atemp)+ns(windspeed)+s(as.integer(days.from.start)))
gam.fit <- gam(form, data=train)
par(mfrow=c(2,2))
plot(gam.fit)
summary(gam.fit)


gam.cv=CVgam(form, data=train, nfold=10, seed=1)
mean((exp(gam.cv$fitted)-train$count)^2)

par(mfrow=c(2,2))
plot(gam.fit)



Expand Down