Assignment 3: Association

Create the Data

• One of the corpora here: https://corpus.byu.edu/corpora.asp
• Collect two bigrams that you can compare using the association measures listed (does not have to be X-Y, Z-Y, but that would help you compare them)
• Create a dataframe like the one from lecture of those bigrams

business = c(83, 24245, 49935, (100000000 - 83 - 24245 - 49935))
action = c(114, 24214, 20143, (100000000 - 114 - 24214 - 20143))
business_action = as.data.frame(rbind(business, action))
colnames(business_action) = c("a", "b", "c", "d")
business_action

##            a     b     c        d
## business  83 24245 49935 99925737
## action   114 24214 20143 99955529

Load the Libraries + Functions

Load all the libraries or functions that you will use to for the rest of the assignment. It is helpful to define your libraries and functions at the top of a report, so that others can know what they need for the report to compile correctly.

library(Rling)

Attraction and Reliance

Calculate the attraction for your bigrams.

attraction = business_action$a / (business_action$a + business_action$c) * 100
attraction

## [1] 0.1659403 0.5627684

Calculate the reliance for your bigrams.

reliance = business_action$a / (business_action$a + business_action$b) * 100
reliance

## [1] 0.3411707 0.4685959

Log Likelihood

Calculate the LL values for your bigrams.

Exp = (business_action$a + business_action$b) * (business_action$a + business_action$c) /
  (business_action$a + business_action$b + business_action$c + business_action$d)

LL = LL.collostr(business_action$a, business_action$b, business_action$c, business_action$d)
LL1 = ifelse(business_action$a < Exp, -LL, LL)
LL1

## [1] 177.3637 499.1375

Pointwise Mutual Information

Calculate the PMI for your bigrams.

PMI = log(business_action$a / Exp)^2
PMI

## [1] 3.68640 9.86739

Odds Ratio

Calculate the OR for your bigrams.

OR = log(business_action$a * business_action$d / (business_action$b * business_action$c))
OR

## [1] 1.924335 3.151136

Interpret your results

Given the statistics you have calculated above, what is the relation of your bigrams? Write a short summary of the results, making sure to answer the following:

• Are they related? Based on the attraction and reliance values, action and plan are related.Business and plan are reated.
• Do they attract or repel each other? The positive log likelihood values shows that they attract each other.
• Are there differences between the separate bigrams? From the results above, we can see that the action plan is more popular than business plan.