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# This post does some basic correlation analysis between responses

# to the survey I recently released through R Shiny at:

http://www.econometricsbysimulation.com/2013/11/Shiny-Survey-Tool.html

# I have saved the data from the survey after completing the survey myself.

# This data is incomplete because the survey has been running since I

# saved the survey and because shinyApp.io server automatically resets

# data every so often. Thus survey results are lost sometimes.

# (Something to be remedied at a future time.)

# Let's get our data

Rsurvey <- read.csv(paste0(

"https://raw.github.com/EconometricsBySimulation/",

"Shiny-Demos/master/Survey/sample-results.csv"))

summary(Rsurvey)

# Looking at the data we have 321 responses in total though

# on average it looks like we have closer to 250 responses

# to work with.

# The majority of respondents consider their knowledge of R

# to be either Advanced (119) or Moderate (92).

# The majority of users are aged 26-35 (121) or 36-45 (79).

# The frequency that respondents read R bloggers is

# most frequently daily (164) or weekly (75).

# The frequency of respondents read my blog never (149)

# or monthly (48).

# The self-reported technical knowledge of most users in a

# theoretic stastics/econometrics/pschometrics field was

# most frequently reported as either moderate (103) or

# advanced (97).

# The favorite colors of people was most frequently blue (114)

# and green (66).

# The vast majority of respondents were male (243) compared

# with only 22 females. Looks like R bloggers is not going

# to become a dating website in the near future.

# Of those who selected an area of research the majority

# chose data analysis (150) followed by (statistics).

# As for the user's knowledge of Shiny few had much at all with

# Basic (118) and Non (76) being the most frequent responses.

# Finally, as to the question of "What is the air speed velocity

# of an unladen swallow" the majority of respondents chose

# the correct response to the Monte Python reference (129)

# while the next largest group indicated that "they did not

# know" (98).

# Well let's see if there is any correlation between particular

# outcomes of interest.

# Let's see if there is a correlation between knowledge of R

# and frequency of reading R bloggers.

knowledgeR <- rep(NA, nrow(Rsurvey))

knowledgeR[Rsurvey[,2]=="None"] <- 0

knowledgeR[Rsurvey[,2]=="Basic"] <- 1

knowledgeR[Rsurvey[,2]=="Moderate"] <- 2

knowledgeR[Rsurvey[,2]=="Advanced"] <- 3

knowledgeR[Rsurvey[,2]=="Expert"] <- 4

frequency <- rep(NA, nrow(Rsurvey))

# Convert these rates to number of days per year

# reading R bloggers.

frequency[Rsurvey[,5]=="None"] <- 0

frequency[Rsurvey[,5]=="daily"] <- 360

frequency[Rsurvey[,5]=="weekly"] <- 50

frequency[Rsurvey[,5]=="monthly"] <- 12

cor(frequency, knowledgeR, use="pairwise.complete.obs")

# There seems to be modest correlation beteen # of days spent

# reading R bloggers and self assessment of R expertise.

# Let's see if coldness or warmth allong the color

# spectrum is a useful variable.

warmth <- rep(NA, nrow(Rsurvey))

warmth[Rsurvey[,8]=="blue"] <- 0

warmth[Rsurvey[,8]=="green"] <- 1

warmth[Rsurvey[,8]=="orange"] <- 2

warmth[Rsurvey[,8]=="red"] <- 3

cor(warmth, knowledgeR, use="pairwise.complete.obs")

# There is a slight negative correlation between

# the favorite color warmth of users and self-reported

# knoweldge of R.

# Finally, let's look at success on the Monte Python

# trivia question.

monte <- rep(NA, nrow(Rsurvey))

monte[Rsurvey[,12]=="I don't know!"] <- 0

monte[Rsurvey[,12]=="~50 MPH"] <- 0

monte[Rsurvey[,12]==

"What do you mean? An African or European swallow?"] <- 1

cor(monte, knowledgeR, use="pairwise.complete.obs")

# We see a modest positive correlation between

# knowledge of R and being able to answer Monte Python

# trivia.

knowledgeStats <- rep(NA, nrow(Rsurvey))

knowledgeStats[Rsurvey[,6]=="None"] <- 0

knowledgeStats[Rsurvey[,6]=="Basic"] <- 1

knowledgeStats[Rsurvey[,6]=="Moderate"] <- 2

knowledgeStats[Rsurvey[,6]=="Advanced"] <- 3

knowledgeStats[Rsurvey[,6]=="Expert"] <- 4

cor(knowledgeStats, knowledgeR, use="pairwise.complete.obs")

# There seems to be a very stong correlation with

# self reported knowledge of Statstics and knowedge

# of R.

# In order to see the data points a little more clearly

# I will add some tiny noise to both knowledge sets

knowledgeStatsN <- knowledgeStats + .15*rnorm(nrow(Rsurvey))

knowledgeRN <- knowledgeR + .15*rnorm(nrow(Rsurvey))

plot(knowledgeRN, knowledgeStatsN,

main="Knowledge of Stats against that of R",

xlab="R", ylab="Stats")

# We can see the diagnol elements 2,2 and 3,3 have the most

# frequency.

summary(lm(knowledgeR~warmth+frequency+monte+knowledgeStats))

# Overall, we can see that knowledge of Statistics

# stongly positively predicts knowledge of R.

# Frequency of reading R bloggers also seems to

# have an effect size significant nearly at the

# %5 level.

# The coefficient on frequency is very small but that is because

# the scale is quite large (from 0 to 360). However

# if someone where to start reading R bloggers daily

# (assuming R-bloggers -> R knowledge one directionally)

# Then we would expect a change of R knowledge of:

.0006994*360

# 0.251784

# Not as large a predictor as knowledge of stats but certainy

# there exists some relationship.

# Of course little causal relationships can be inferred from the

# data. We cannot expect reading R bloggers to be independent

# of self-assessed knowledge of R any more than knowledge of

# statistics to be uncorrelated with knowledge of R since

# many users, learn R simultaneously with statistics.

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