The following data are for 30 observations involving two categorical variables,

Question

The following data are for 30 observations involving two categorical variables, x and y. The categories for x are A, B, and C; the categories for y are 1 and 2.

2

a) Develop a crosstabulation for the data, with x as the row variable and y as the column variable.

b) Compute the row percentages (to 1 decimal).

c) Compute the column percentages (to 1 decimal).

d) Describe the observed relationship between variables x and y.

Category A values for x are Selectalwaysusuallynot usuallynever associated with category 1 values for y.

Category B values for x are Selectalwaysusuallynot usually associated with category 1 values for y.

Category C values for x are Selectalwaysusuallynot usually associated with category 2 values for y.

Observation x y Observation x y 1 A 2 16 C 2 2 C 1 17 B 1 3 C 1 18 C 1 4 B 2 19 B 1 5 C 1 20 C 1 6 B 2 21 B 2 7 C 1 22 C 1 8 B 2 23 B 2 9 A 1 24 A 1 10 C 1 25 C 1 11 A 1 26 B 2 12 C 1 27 B 2 13 B 2 28 A 1 14 B 2 29 C 1 15 B 2 30 C

2

Explanation / Answer

a)

b)

c)

d)

Category B values for x are usually associated with category 1 values for y.

Y 1 2 Grand Total X A 4 1 5 B 2 10 12 C 11 2 13 Grand Total 17 13 30

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