Comparison of Several Inferential Tests
with regard to the 6 steps of hypothesis testing
This is a summary table to facilitate comparison and study. The test names are linked to the more detailed description of how each is used for hypothesis testing.
6 Steps of 
Type of Test  
1 
Research 
Is coin 
Does our sample 
Does our sample 
Do our 2 sample 
Do means for 2


2 
Hypoths. 
p=q 
μ=is known 
μ=is known 
μ_{1}=μ_{2} 
μ_{1}=μ_{2} 

3 
Assumps. 
1 
H_{O} 
H_{O} 
H_{O} 
H_{O} 
H_{O} 
2 
 
Random sample 
Random sample 
Random samples 
Random sample 

3 
 
DV normally 
DV normally 
DV normally 
DV normally 

4 
 
 
 
Independent grps 
Dependent grps 

5 
 
 
 
Homog. variences 
 

4 
Decision 
α = 0.05 
critical values of 
t depends on df 
t depends on df, 
t depends on df 

5 
Comput. 
a  Give the % 
Give the 
Give the 
Give the 2 group 
Give means for 
b  Pascal's triangle or statistical software to compute probability 
Since the formula is large, it is placed at the bottom of this webpage 

6 
Decision 
a 
Is it funny? 
Does it differ? 
Does it differ? 
Do they differ? 
Do they differ? 
b 
If so, how? 
How (direction)? 
How (direction)? 
How (direction)? 
How (direction)? 
Formula for independent groups t test: