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What statistical analysis should I use?

The following table shows general guidelines for choosing a statistical analysis. We emphasize that these are general guidelines and should not be construed as hard and fast rules.  Usually your data could be analyzed in multiple ways, each of which could yield legitimate answers. The table below covers a number of common analyses and helps you choose among them based on the number of dependent variables (sometimes referred to as outcome variables), the nature of your independent variables (sometimes referred to as predictors).  You also want to consider the nature of your dependent variable, namely whether it is an interval variable, ordinal or categorical variable, and whether it is normally distributed (see What is the difference between categorical, ordinal and interval variables? for more information on this).  The table then shows one or more statistical tests commonly used given these types of variables (but not necessarily the only type of test that could be used) and links showing how to do such tests using SAS, Stata and SPSS.

Number of
Dependent
Variables

Nature of 
Independent
Variables

Nature of Dependent
Variable(s)

Test(s)

How to
SAS

How to
Stata

How to
SPSS

1

 0 IVs
(1 population)

interval & normal

one-sample t-test

SAS

Stata

SPSS

ordinal or interval

one-sample median

SAS

Stata

SPSS

categorical
 (2 categories)

binomial test

SAS

Stata

SPSS

categorical

 Chi-square goodness-of-fit

SAS

Stata

SPSS

 1 IV with 2 levels 
(independent groups)

interval & normal

2 independent sample t-test

SAS

Stata

SPSS

 ordinal or interval

 

 

 

 

Wilcoxon-Mann Whitney test

SAS

Stata

SPSS

 categorical

 Chi- square test

SAS

Stata

SPSS

Fisher's exact test

SAS

Stata

SPSS

1 IV with 2 or more levels (independent groups)

interval & normal

one-way ANOVA

SAS

Stata

SPSS

ordinal or interval

Kruskal Wallis

SAS

Stata

SPSS

categorical

Chi- square test

SAS

Stata

SPSS

1 IV with 2 levels
(dependent/matched groups)

interval & normal

paired t-test 

SAS

Stata

SPSS

 ordinal or interval

Wilcoxon signed ranks test 

SAS

Stata

SPSS

 categorical

McNemar

SAS

Stata

SPSS

1 IV with 2 or more levels
(dependent/matched groups)

interval & normal

one-way repeated measures ANOVA

SAS

Stata

SPSS

ordinal or interval

Friedman test

SAS

Stata

SPSS

categorical

repeated measures logistic regression

SAS

Stata

SPSS

2 or more IVs
(independent groups)

interval & normal

factorial ANOVA

SAS

Stata

SPSS

ordinal or interval

???

???

???

???

categorical

factorial 
logistic regression

SAS

Stata

SPSS

1 interval IV

interval & normal

correlation 

SAS

Stata

SPSS

simple linear regression

SAS

Stata

SPSS

ordinal or interval

 non-parametric correlation

SAS

Stata

SPSS

categorical

simple logistic regression

SAS

Stata

SPSS

1 or more interval IVs and/or
1 or more categorical IVs

interval & normal

multiple regression

SAS

Stata

SPSS

analysis of covariance

SAS

Stata

SPSS

categorical

multiple logistic regression

SAS

Stata

SPSS

discriminant analysis

SAS

Stata

SPSS

2 or more

1