it sounds like your dependent variable is ordinal level and your independent variable is binary (nominal level).I am looking to see if gender affects football game attendance (4 groupings e.g. one game, under 5 games, every 2-3 games, every game), I plan to run independent samples t-test.
here it depends a bit: Is your likert scale transformed to an actual scale? I assume it is.I then want to find if there game attendance effects purchase intentions (measured on Likert scales), for this I plan to run ANOVA.
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