chi-squared and t-tests (w6) Flashcards
what test to use when proportions with more than 2 levels
chi-squared goodness of fit test
what test to use when comparing proportions across 2 or more groups
chi squared test of association
what test to use when comparing a measure with a fixed value
one sample t test
what test to use when comparing a measure across 2 groups ( independent and paired )
independent: two samples t test
paired: paired t test
what test to use when comparing measure across more than two groups
ANOVA
what is chi squared a test of
test of difference among categorical (nominal and ordinal) variables
what are two types pf chi squared test
goodness of fit
test of association (or test of independence)
what is chi squared goodness of fit test for
how proportions in data fit to fixed (expected) proportions
what is chi squared test of association for
how proportions of two data sets are associated
what is Benford’s law, aka
first digit law
the frequency of first digits of naturally occurring numerical data follow a particular proportion (eg prices, populations, lengths)
what does the chi squared test for Benford’s law test
whether the frequencies of first-digits of the data follow the known proportion
what is null for testing Benford’s law, what does it mean if its rejected
Benford’s law is preserved (i.e. numbers are naturally occurring)
data set is likely fabricated
how to report chi squared goodness of fit test
the X2 value for df followed by p-value
eg: X2 (5) = 12.2, p=0.032
in chi squared goodness of fit test, what does bigger X2 mean
bigger difference
what can descriptive statistics for chi squared test of association be summarised as
contingency table
how to report chi squared test of association results
X2 value with df and N (number of samples) followed by p-value
eg: X2 (2, N=27) = 1.43, p = 0.490
what’s a paired sample
means data points are paired across 2 groups
eg is variables are mom L or R handed and daughter is L or R handed, mom-daughter data need to be paired
when can McNemar’s test be used
only for 2 dichotomous variables (ie 2-by-2 contingency table)