I Tests of Hypotheses for Nominal or Ordinal Levels of Measurement

question 27

Multiple Choice

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) All statements are false

---

Definitions:

Degrees of Freedom

The number of independent values or quantities that can be assigned to a statistical distribution or to a statistical calculation.

Data Table

A structured arrangement of data organized in rows and columns, which can be used for analysis or presentation.

Degrees of Freedom

The count of distinct values or numbers assignable to a statistical distribution.

Independence

A condition in which two or more variables are not related, meaning the behavior or value of one variable does not affect the other.