i. Nonparametric tests require no assumptions about the shape of the population distribution.
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 chi-square distribution with large degrees of freedom approaches a normal distribution.
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

Question

i. Nonparametric tests require no assumptions about the shape of the population distribution. 
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 chi-square distribution with large degrees of freedom approaches a normal distribution.
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

Quizplus · Accepted Answer

Nonparametric tests do not assume a specific population distribution. The chi-square distribution varies with degrees of freedom, and with large degrees of freedom, it approximates a normal distribution.

I Nonparametric Tests Require No Assumptions About the Shape of the Population