Week 12 Flashcards
parametric tests
tests that concern parameters and require assumptions about parameters
nonparametric tests
do not require a distribution to meet required assumptions (distribution-free tests)
observed frequency (Chi-square test goodness of fit )
number of individuals from the sample who are classified in a particular category
- only one category per individual
expected frequency (Chi-square test goodness of fit)
value that is predicted from proportions in H0 and n
- the expected frequencies define an ideal sample distribution that would be obtained if the sample proportions were in perfect agreement with proportions in H0
- ƒe = p x n
small value for chi-square goodness of fit
fail to reject H0
large value for chi-square goodness of fit
reject H0
chi-square test for goodness of fit
uses sample data to test hypotheses about the shape or proportions of population distribution
chi-square test for independence
uses frequency data from a sample to evaluate the relationship between 2 variables in the population
Cohen’s W
- measurement for effect size in chi-square
- po = observed proportion = ƒo ÷ n
- pe = expected proportion = ƒe ÷ n
- W = 0.10 – small effect, W = 0.30 – medium effect, W = 0.90 – large effect
phi-coefficient
for dichotomous variables (= both variables have 2 values), in a 2x2 matrix
- ϕ = √x^2 / n
- ϕ = 0.10 – small effect, ϕ = 0.30 – medium effect, ϕ = 0.90 – large effect
Cramer’s V
phi-coefficient for larger matrices
assumptions and restrictions for chi-square tests
- independence of observations: each observed frequency is generated by a different individual
- size of expected frequencies: expected frequencies of any cell has to be at least 5