i. Tests of hypotheses for nominal or ordinal levels of measurement are called nonparametric or distribution-free tests. ii. There is not one, but a family of chi-square distributions. There is a chi-square distribution for 1 degree of freedom, another for 2 degrees of freedom, another for 3 degrees of freedom, and so on.
iii. The shape of the chi-square distribution depends on the size of the sample.
A) (i), (ii), and (iii) are all correct statements.
B) (i) and (ii) are correct statements but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Question

Quizplus · Accepted Answer

Statement (i) is true as nonparametric tests are used for nominal or ordinal levels of measurement.
Statement (ii) is also true as there are different chi-square distributions for different degrees of freedom.
However, statement (iii) is false as the shape of the chi-square distribution does not depend on the size of the sample, but on the degrees of freedom.

I Tests of Hypotheses for Nominal or Ordinal Levels of Measurement