Chi-square goodness of fit
1 Categorical Dependent Variable, and 0
Independent Variables
A chi-square goodness of
fit test allows us to test whether the observed proportions for a categorical
variable differ from hypothesized proportions [13].
For example, let's suppose we
believe that the population of Movielens users consists of 10% Hispanic, 10%
Asian, 10% African American and 70% Caucasian people. We perform an experiment
surveying the ethnicity of Movielens users. The Chi-square goodness of fit
tests whether the observed proportions from our sample differ significantly
from the hypothesized proportions.
Values to report:
·
(optional)
number of values satisfying each condition (e.g. number of study participants
from each race)
·
percent of
values satisfying each condition (e.g. percentage of study participants from
each race)
·
Chi-square
statistic
·
degrees of
freedom
·
p value