Chapter 11 Flashcards
one-way table
used to show the distribution of a categorical variable for a sample of individuals
chi-square goodness-of-fit test
tests the null hypothesis that a categorical variable has a specified distribution
observed count
the actual count of outcomes in an experiment or study
one-way expected count
predicted count; found by multiplying the specified proportion of the population distribution in the same category by the sample size
ch-square statistic
measures the difference of the observed and expected counts
(observed-expected)^2/
x^2=___=expected
chi-square distribution
multiple distributions that take only positive values and are skewed to the right
Large Sample Size condition
takes place of the Normal condition, approximation of the sampling distribution of the statistic x^2
components
show which terms contribute most to the chi-square statistic
two-way expected count
any cell of a 2 way table when the null hypothesis is true:
expected count= row total(column total)/
table total
chi-square test for homogeneity
used to compare proportions of successes for each of several populations or treatments
chi-square test of association/independence
tests that the null hypothesis does not have an association between the two categorical variables in the population of interest