Significance Tests/Inference Flow Chart

1-sample z*-interval

1 categorical variable

Check conditions (random, independent, LCC)

1 sample (1 proportion)

estimate p

1-sample z-test

1 categorical variable

Check conditions (random, independent, LCC)

1 sample (1 proportion)

test Ho vs Ha

2-sample z*-interval

1 categorical variable

Check conditions (random, independent, LCC)

2 samples (2 proportions)

estimate difference between p1-p2

2-sample z-test

1 categorical variable

Check conditions (random, independent, LCC)

2 samples (2 proportions)

test Ho vs Ha

x² Goodness of Fit test

1 categorical variable

Check conditions (random, independent, LCC)

1 sample (one way table/many proportions)

test Ho vs Ha

x² test for Homogeneity

2 categorical variables

given 2+ samples with 1 variable

x² Test for Independence

2 categorical variables

given 1 sample with 2+ variables

Linear Regression t-interval

2 quantitive variables

Regression inference

estimate

Linear Regression t-test

2 quantitive variables

regression inference

test

paired t*-interval

1 quantitive variable

check conditions (random, independent, CLT)

paired sample

estimate μ_d

paired t-test

1 quantitive variable

check conditions (random, independent, CLT)

paired sample

test Ho vs Ha

1-sample t*-interval

1 quantitive variable

check conditions (random, independent, CLT)

1 sample

estimate μ

1-sample t-test

1 quantitive variable

check conditions (random, independent, CLT)

1 sample

test Ho vs Ha

2-sample t*-interval

1 quantitive variable

check conditions (random, independent, CLT)

2 samples

estimate difference μ_1 - μ_2

2-sample t-test

1 quantitive variable

check conditions (random, independent, CLT)

2 samples

test Ho vs Ha