Question

1) An education researcher surveyed 1000 people about their age and number of years of schooling.

a. Would it be appropriate to use a test for homogeneity or independence? Briefly explain why.

b. Use the data in “education-by-age.csv” to test the hypothesis of no relationship between age and amount of schooling.

For question 1B could you just tell me the sequence of r code inputs I need to answer the question :)

Answer 1

a)Yes , You can use a test for homogeneity or independence because age and number of years of schooling are two independent attributes . For testing of two relation between two independent attributes , we always use chi-square test .

b) Construct Table of  age and number of years of schooling.  

Let , The freq. be a1,a2,a3,a4,b1,b2,b3,b4

a1,a2,a3,a4 are entries in first row

b1,b2,b3,b4 are entries in second row

i.e there are 2 rows & four column

Code for R-software

>x=c(a1,a2,a3,a4,b1,b2,b3,b4)

>m=matrix(x,byrow=2,ncol=4) { You have to write your no. of rows & no. of column }

>chis.test(m)