Paired t-test & ANOVA

What are the 4 assumptions you make when performing an ANOVA test

1. each population is independent 2. there are 3+ populations 3. there is a normal 4. variance among population

What are the tests used for a dependent sample

2 measurements: paired-t-test or z-test 3 measurements +: ANOVA

How do you determine how many pairs of data you need for an ANOVA test

K!/((K-2)!*2!)

Give an example of a global test (ANOVA) hypothesis

Null: H0: u1=u2=u3 Ha: at least one of the u is different

What are the 2 decision rules for a ANOVA test

Reject the null if: 1. if f-statistic > F-critical 2. if p-value < alpha

What are the two types of multiple comparisons that are used with ANOVA tests

Tukey & Scheffe

When do you use Tukey vs Scheffe multiple comparison tests (with ANOVA)

Tukey: when sample size is unequal Scheffe: when sample size is equal

When do you use a one-way ANOVA

independent sample divided by 1 factor that has 3 or more groups

Define dependent sample

one population, but an outcome is measured twice

What does a global test (ANOVA) do

tests to see if the population means are the same or not

When do you use a repeated measure ANOVA

with a dependent sample that is divided by time with 3 or more measurments

when do you use a two way ANOVA

with an independent sample that is divided by 2 factors with 4 or more groups

When do you use a paired t-test

with continuous data, when you're measuring the same outcome twice