'Life is after all a recursive summation, indeed     Let's do some Statistics!

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Old Dominion University
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Paired Sample t-Test
SAS Source: TTEST2.SAS

Description

This example shows how to do t-test by using MEANS procedure with options (instead of using TTEST procedure).

It performs a t-test for a natural paring of the data, testing a hypothesis that the mean change of two values, i.e., before-event and after-event values, of each observation is significantly different from zero. Ideal for the post-audit, comparing seasonal difference, validation of improvement or degredation, etc.

Undelying assumption for this TTEST procedure is that the observations are random samples drawn from two independent and normally distributed populations with an equal variance.

If these assumptions could not be satisfied or ascertained, you *should* use Nonparametric statistics techniques instead for testing your hypothesis. (see NPAR1WAY procedure)

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OPTIONS LINESIZE=80;
TITLE1 'Paried Sample t-Test';
TITLE2 'Seasonal Total Suspended Solid (TSS)';

DATA TSS;
/* @@ means a loop in reading input variable sequence */
INPUT Station Spring Summer @@;
   Change = Summer - Spring;
CARDS;
 1 80 82    2 73 71   3 70 95   4 60 69
 5 88 100   6 84 71   7 60 69   8 37 60
 9 91 95   10 98 99  11 52 65  12 78 83
13 40 60   14 79 86  15 59 62
;
RUN;


/* N = number of observations in the subgroup    */
/*     having nonmissing values for the variable */
/* MEAN = the mean                               */
/* STDERR = the standard error of mean           */
/* T = student's t for testing the hypothesis    */
/*     that the population mean is 0             */
/* PRT = the probability of a greater absolute   */
/*     value for the student's t                 */
PROC MEANS N MEAN STDERR T PRT;
  VAR Change;
RUN;

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SAS User Guide (SUG) for Procedures (PROC) used in the Source

SUG TTEST procedure
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