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Stats quiz 3 part 4

QuestionAnswer
The chi squared distribution is not symmetric (not bell-shaped about the mean like the normal or t distributions)
The specific shape of a chi-square distribution depends on the degrees of freedom (like t distribution) but in general, the distributions are right skewed and approach the shape of a normal distributuin as df approaches infinity
a chi squared test cannot be negative
Chi squared test is read the same as the t-table
The chi-square goodness of fit test is used to determine whether the observed frequency distribution of a categorical variable differs significantly from the theoretical (expected) distribution
When to use chi square goodness of fit test one categorical variable from a single population. You want to check if the observed data are consistent with the hypothesized proportion for each category
Conditions for the chi square goodness of fit test Random sample, large population (10 times larger than the sample size at least), categorical variable, expected counts: each expected category count is at least 5
Null and alternative for goodness of fit test null: the observed frequencies follow the expected distribution. Alternative: the observed frequencies do not follow expected distribution
Chi square test is always a right tailed test
Bivariate data refers to data collected on two variables for each individual on a sample. Each observation provides a pair of values-one for each variable. Goal: is there relationship or association between the two variables
Bivariate data can be either qualitative or quantitative
When to use chi square test of independence you have two or more qualitative variables you want to compare. You want to know if the variables are related (associated) or independent
Hypotheses for independence test null: the variables are independent. Alternative: the variables are NOT independent
Chi square test of homogeneity This test if a proportion is the same across two independent populations.
Homogeneity hypotheses Null: p1=p2 Alternative: p1 does not equal p2
Created by: user-1996284
 

 



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