Chi-square Homework

1-Find the frequency of these five competing expressions in the BNC and COCA and put them in this chart:


Corpus of Contemporary American English

British National Corpus

Chi-square

p value

1-why




1-

1-what for



-----

-----

2-keen on




2-

2-interested in



-----

-----

3-little finger




3-

3-pinkie / pinky (add results for both spellings)



-----

-----

4-math




4-

4-maths



-----

-----

5-go to the university




5-

5-go to university



-----

-----



2-For each of the five pairs, use this chi-square calculator page to calculate the chi-square and put that number in the table. (This chi-square calculator is a bit easier to use, but doesn't have the explanatory information. Click on the button for each of the four steps in order to calculate the numbers you need in the next step.)

3-Determine the significance of the chi-square value for each pair according to the table below and copy it into the table above:

Critical values of chi-square (df=1)


If chi-square is:

then p <

smaller than 3.84

is not significant

3.84

0.05

5.02

0.025

6.63

0.01

7.88

0.005

10.83

0.001


(If chi-square is 5.01 then p < .05 because 5.01 hasn't yet reached the p < 0.025 level.)


4-In prose, explain what your corpus search and statistical analysis of the data say about the use of these five pairs of expressions in British and American English. Which expression in each pair is more common in British and American English?



5-Assume someone presented you with this frequency data claiming that it shows an obvious difference between the use of Expressions 1 and 2 in the dialects A and B. Using statistics, confirm or refute this person's claim.



Dialect A

Dialect B

Expression 1

3

6

Expression 2

8

65