Dear All:
I have two variables:
X (nominal categorical) has 9 categories.
Y(ordinal categorical) has 4 categories.
 
1-I fit a logistic regression using Y as
the response variable and X as the independent variable. The P VALUE was
0.2373. This tells me that the independent variable X is NOT significant
predictor.
 
 
2- I run a
chi-square test to test if there is a relationship (association ship) between
both X and Y variables. The P VALUE was 0.0013. That is there is statistical
evidence of association between the two variables.
 
3- I collapsed the 4 categories of the Y-variable into 2 categories. I run a
chi-square test to test if there is a difference(s) among proportions of the X-variable (the equality of the 9 proportions). The P VALUE was 0.0037. That is there is statistical
evidence of differences among the 9 proportions.

How
I can explain results of one versustwo, and one versus three. I am not sure if there is a contradiction among these results.
 many
thanks
Ali
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