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Chi Square Tests

AP Statistics

TermDefinition
choose (GOF) x^2 goodness of fit test, state level of significance and H0 & HA
check (GOF) SRS/random assignment with context, 10% condition only if there is an SRS, Large Counts = all expected values > 5
calculate (all) x^2 = sum of (observed-expected)^2 / expected
finding critical value (GOF) invx^2 (use area not captured by level of significance, ex. 0.05 = 0.95 area and df = # of groups-1)
conclude (all) write sentence about HA always, if rejecting H0 write a follow up analysis
follow up analysis the largest component of x^2 is ____ because the observe counts of ____ were higher/lower than expected
finding p-value normx^2, always greater than because distribution is skewed right
lower df distribution is strongly skewed right
higher df distribution approaches normal but is still skewed right
H0 (GOF) the observed (context) matches the expected (context), the observed and expected values are the same
HA (GOF) the observed (context) do not match the expected (context), the observed and expected values are different
expected counts (GOF) sample size x decimal percentage given by problem
x^2 test for GOF 1 sample, 1 variable, use spreadsheet
expected counts (Hom & Indep) row total x column total / grand total
H0 (Hom) there is no difference between the distributions of the 2 samples/distributions are the same
HA (Hom) there is a difference between the distributions of the 2 samples/distributions are not the same (context)!
degrees of freedom (Hom & Indep) (1- # of rows)(1- # of columns)
x^2 test for homogeneity 2 samples, 1 variable, use matrix
H0 (Indep) there is no association between (context) / the ___ and ____ are independent
HA (Indep) there is an association between (context) / the ___ and the ____ are not independent
x^2 test for independence 1 sample, 2 variables, use matrix
Created by: ts2819
 

 



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