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Statistics

Data

Nominal Data                Interval / Ratio Data
I======================I   I========================================================I
I  +-----------------+ I   I                                  +-------------------+ I
I  | Test for        | I   I                                  | Test for a mean   | I
I  | Proportion      | I   I                                  |                   | I
I  +-----------------+ I   I                                  +-------------------+ I
I                      I   I                                                        I
I  +-----------------+ I   I +-------------------------+                            I
I  | Difference of   | I   I | difference of two means |                            I
I  | two proportions | I   I | (independent samples)   |                            I
I  +-----------------+ I   I +-------------------------+                            I
I                      I   I                                                        I
I  +-----------------+ I   I +-------------------------+      +-------------------+ I
I  | Chi-sq test for | I   I | Regression analysis     |      | Difference of two | I
I  | independence    | I   I |                         |      | means (paired)    | I
I  +-----------------+ I   I +-------------------------+      +-------------------+ I
I======================I   I========================================================I

Samples

One Sample
I===================================================================================I
I  +-----------------+                                        +-------------------+ I
I  | Test for        |                                        | Test for a mean   | I
I  | Proportion      |                                        |                   | I
I  +-----------------+                                        +-------------------+ I
I===================================================================================I
Two Samples
I===================================================================================I
I  +-----------------+       +-------------------------+                            I
I  | Difference of   |       | difference of two means |                            I
I  | two proportions |       | (independent samples)   |                            I
I  +-----------------+       +-------------------------+                            I
I===================================================================================I
One Sample, Two Measures
I===================================================================================I
I  +-----------------+       +-------------------------+      +-------------------+ I
I  | Chi-sq test for |       | Regression analysis     |      | Difference of two | I
I  | independence    |       |                         |      | means (paired)    | I
I  +-----------------+       +-------------------------+      +-------------------+ I
I===================================================================================I

Purpose

Testing against a value
I===================================================================================I
I  +-----------------+                                        +-------------------+ I
I  | Test for        |                                        | Test for a mean   | I
I  | Proportion      |                                        |                   | I
I  +-----------------+                                        +-------------------+ I
I===================================================================================I
Comparing two statistics
I                        I
I===================================================================================I
I  +-----------------+     +-------------------------+  I  I                        I
I  | Difference of   |     | difference of two means |  I  I                        I
I  | two proportions |     | (independent samples)   |  I  I                        I
I  +-----------------+     +-------------------------+  I  I                        I
I=======================================================I                           I
Looking for relationships
I                        I
I=======================================================I                           I
I  +-----------------+     +-------------------------+  I  I  +-------------------+ I
I  | Chi-sq test for |     | Regression analysis     |  I  I  | Difference of two | I
I  | independence    |     |                         |  I  I  | means (paired)    | I
I  +-----------------+     +-------------------------+  I  I  +-------------------+ I
I===================================================================================I