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Can ANOVA be used for proportions?
In general, common parametric tests like t-test and anova shouldn’t be used when the dependent variable is proportion data, since proportion data is by its nature bound at 0 and 1, and is often not normally distributed or homoscedastic.
Can you do ANOVA with binary variables?
One-way ANOVA with binary data is used for comparing means of three or more groups of binary data. Its outcome variable is supposed to follow Bernoulli distribution. And its overall test uses a likelihood ratio test statistics.
Can you do ANOVA with categorical data?
A one-way analysis of variance (ANOVA) is used when you have a categorical independent variable (with two or more categories) and a normally distributed interval dependent variable and you wish to test for differences in the means of the dependent variable broken down by the levels of the independent variable.
Can ANOVA be used for binomial data?
We have already discussed tests suitable for binomial data, but for the cases where we have 2 or more predictor variables we can also run an ANOVA using the output from a generalized linear model referencing logistic regression and the binomial distribution.
Which is the dependent variable in one way ANOVA?
THE ONE-WAY ANOVA PAGE 2. The (continuous) dependent variable is defined as the variable that is, or is presumed to be, the result of manipulating the independent variable. In the One-way ANOVA, there is only one dependent variable – and hypotheses are formulated about the means of the groups on that dependent variable.
What’s the difference between ANOVA and factorial ANOVA?
A one-way ANOVA compares the effects of an independent variable (a factor that influences other things) on multiple dependent variables. Two-way ANOVA does the same thing, but with more than one independent variable, while a factorial ANOVA extends the number of independent variables even further.
How to calculate proportion as a dependent variable?
The nominal variable has 5 categories. Unless somebody has a better idea, I would probably use glm with my proportion as the dependent variable and the nominal variable as independent, and then report the F or chi-square value and/or the p-value for it. I’d be curious to see if the results were very different from what Anova gave you.
Do you use ANOVA for categorical predictor variable?
In this case I would not use ANOVA. Logistic regression with some form of coding (perhaps dummy coding) for the categorical predictor variable is the obvious choice if you are conceptualising the binary variable as the dependent variable (otherwise you could do chi-square).