Page 64 - Quantitative Data Analysis
P. 64

Quantitative Data Analysis
                                              Simply Explained Using SPSS


                             Logic behind Independent t-Test

               One Sample Test Statistics

                                          ̅
                                                    ̅

                                    

                                           √      √  ×

                                                    ̅
                                          ̅



                                           √      √  ×

               Generally:

                   
                                  √
                                                     √         ×
                                                                             
                                              ̅
                                                   ̅


                                                ̅ −   ̅
                                                 
                              ̅


                              ̅


                                ̅ −   ̅
                                 
               If sample size of the two groups is equal (n 1 = n 2) then



                                      ̅ −   ̅   √
                                                   ̅       ̅




               The Theory and Applications of Statistical Inferences           48
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