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Chi Sqaured GOF and Homogeneity Assumptions and Conditions
Counts (categorical)
Randomization (SRS or Random Assignment)
Pop > 10n (for sample)
These two combine to satisfy the independence requirement (use context)
Expected counts > 5
Chi Sqaured Independence Assumptions and Conditions
Counts (categorical)
Randomization (SRS or Random Assignment)
Pop > 10n (for sample)
These two combine to satisfy the independence requirement (use context)
Expected counts > 5
LinReg T-Test/ Interval Assumptions and Conditions
Linear scatterplot (show scatter plot)
Independent (errors)
Normal Histogram (show histogram)
Equal Variances (show residuals plot)
Randomization
Chi Squared Independent Hypotheses
Ho: The variables are independent of each other
Ha: The variables are not independent of each other
Chi Squared Homogeneity Hypotheses
Ho: The distribution is the same for all populations
Ha: The distribution is not the same for all populations
Chi Squared GOF Hypotheses
Ho: The distribution look a certain way (based on given info)
Ha: The distribution looks different from what was hypothesized
LinReg T-Test Hypotheses
Ho: B=0 The relationship is not linear
Ha: B≠,>,< The relationship is linear
What are unbiased estimators of ⲁ and B
a and b
What are the unbiased estimators of M, 𝜎, and p
Sx, p(hat), and mean
When are standardized Residuals used?
If null hypotheses is rejected to determine which population was most different from the others
What makes homogeneity tests different from Independence tests
Homogeneity tests have groups that are sampled in different groups separately
What makes independence tests different from homogeneity tests?
Independence tests sample people and then split them into groups
What is the purpose of a LinReg test?
Determining if there is a linear association between the two variables
P-value in LinReg Tests
P-value is two-tailed, but to get one-tailed p-value, divide by two
LinReg T-interval Conclusion
I am % confident that the true slope of the regression line…is between…
What is the purpose of X2 Test for Independence
It is used to determine an association between two categorical variables from one population
df equation for x2 tests
df = # of categories - 1
(row -1) (column-1)