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Summary Different hypothesis tests

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In this table it is worked out what the different hypothesis tests are in statistics. Together with the R code

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Which test? Example Assumptions Calculate df Effect size Calculations In R
HO/Ha
Chi square goodess of H0: All four 1. Variables K-1, where - qchisq(p=0.95, df=3)
fit: we typically use it card suits are K is the
when we have a are chosen categorical number of
research question from a (nominal). levels of
where we want to deck with 2. Data are categorical
determine whether equal observed variables.
some categorical probability. frequencies
observations that we Ha: At least for each
made are occurring at a one of the category.
level different than suit choice 3. The
some pre-specified probabilitie expected
probabilities (chance s is not values of our
level) 0.25. observations
is at least 5.
4.
Observation
s are
independent
.
Chi square H0: all 1. Variables (r-1)(c-1) Cramer’s V: associationTest( formula
association/independen variables are where r is = ~var1+var2, data =…)
ce. This is a test to see are categorical the number
whether there is an independe (nominal). of rows and
association in the nt of one 2. Data are c is the
categorical responses another. observed number of
based on different Ha: there is frequencies columns.
categories. In this case at least one for each
we have a series of pattern category.
hypothesis where all are that we 3. The
true. could expected
identify values of our

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