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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
Hypothesis
Testing

Type of Test

Binomial

1 Sample z

1 Sample t

2 Sample t -
Indep. Groups

2 Sample t -
Dep. Groups

1

Research
Question

 

Is coin
funny?

Does our sample
differ from pop.?

Does our sample
differ from pop.?

Do our 2 sample
means differ?

Do means for 2
conditions differ?

2

Hypoths.

 

p=q

μ=is known
as is σ.

μ=is known
but σ is not.

μ12

μ12

3

Assumps.

1

HO

HO

HO

HO

HO

2

   -

Random sample

Random sample

Random samples

Random sample

3

   -

DV normally
distributed in pop.

DV normally
distributed in pop.

DV normally
distributed in pop.

DV normally
distributed in pop.

4

   -

   -

   -

Independent grps

Dependent grps

5

   -

   -

   -

Homog. variences

   -

4

Decision
Rules

 

α = 0.05

critical values of
z = ±1.96

t depends on df
where df=N-1
& N=a score

t depends on df,
where df=N1+N2-2

t depends on df
where df=N-1
& N=a pair of scores

5

Comput.

a

Give the %

Give the
sample mean

Give the
sample mean

Give the 2 group
means

Give means for
the 2 conditions

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:


Contents Index APA Style Guide Dr. P's Place Copyright © 1997-2017 M. Plonsky, Ph.D.
Comments? mplonsky@uwsp.edu.