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One of my variables is standard infection ratios. And the other variable is binary (1 or...

One of my variables is standard infection ratios. And the other variable is binary (1 or 0). Is it possible to run a student t-test if the continuous variable is a ratio? if it is not, can I standardize the standard infection ratios and still do the student t-test?

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Answer #1

It is absolutely fine to run a student t-test if the continuous variable is a ratio.

Student's t distribution is the ratio of standard normal distribution and the rooted mean of Chi-square distribution, where the normal random variables are all fractions.

The necessary condition for using a student's t distribution is to have a continuous variable which is satisfied in the given situation.

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