Bob Johnson wrote:
>
> The chi-square distribution with df = 1 is the z-distribution squared. I�ve heard
>it said that it is good for students in introductory statistics courses to see this.
>How important do you feel it is to include this concept in an introductory statistics
>course?
>
If chisquare is used at all in the introductory course then it is
important to make this point.
CONTEXT: Most courses test the hypothesis of equal proportions in
independent samples from two populations using z, and later introduce
chi-square for the k-population situation. Some (I think more should)
introduce chisquare as a goodness of fit procedure when there are more
than 2 response alternatives ("is the die fair?"), after having used z
for the 2 response case ("is the coin fair?").
OBJECTIVE: In these situations it is a good idea to explain why, when
both procedures are applicable, they give the same result. I would not
want students to agonize over the question "should I use z or should I
use chi-square when k = 2?"
If the course never deals with more than 2 populations, or with more
than two categories of response, chi-square might not be mentioned at
all.
Neil Henry
> If the answer to the first is, �it is important�, follow-up questions:
> What is the objective?
> In what context should it be introduced?
>
> Thank you,
>
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