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. μ1=μ2 μ1=μ2 3 Assumps. 1 HO HO HO HO HO 2 - Random sample Random sample Random samples Random sample 3 - DV normallydistributed in pop. DV normallydistributed in pop. DV normallydistributed in pop. DV normallydistributed 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 groupmeans 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: