Chi-Square significance: what does it mean?

[sasnewbie12]

I am looking for binary outcome "speeding ticket" (1/0)

I have a categorical variable "bright color" which is categorized into 1, 2, 3 and 0.

I will run a chi-sq with speeding ticket*bright color 

On the other hand I make three categorical variables using the same information from bright colors 1, 2, and 3. Each bright color is made into a separate variable:

bright color 1 (1/0)

bright color 2 (1/0)

bright color 3 (1/0)

Then I will run a chi=sq with each variable such as:

bright color 1*speeding ticket

bright color 2*speeding ticket

bright color 3*speeding ticket

Will there be a correlation between running a chi-sq testing bright color as a single variable  vs. speeding ticket with categories 1, 2, 3 and on the other hand running 3 chi-sq testing bright colors as individual variables vs. speeding ticker(bright color1, bright color 2, bright color 3)??

If I find a significant association when running each color as a separate variable, should I expect to find a significant association when running all the colors as one variable with multiple categories?

Thank You

[stat_sas · Accepted solution]

Hi,

If overall chi-square between speeding ticket and bright color is not significant then chi-square at various levels would reflect the same.