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*   A COMPREHENSIVE, MATRIX FREE ALGORITHM FOR ANALYSIS OF VARIANCE    *
*                           SAMPLE PROBLEMS                            *
*                                                                      *
*  THE FOLLOWING SIMPLE EXAMPLES HAVE BEEN PREPARED PRINCIPALLY TO     *
*  ILLUSTRATE THE DIFFERENT FEATURES OF THE PROGRAM - OPTIONS, MODEL   *
*  SPECIFICATION, COMPUTATIONS, OUTPUT - IN MANY DIFFERENT COMBINA-    *
*  TIONS.  THEY DO NOT NECESSARILY REPRESENT THE MOST LIKELY USE OF    *
*  THE PROGRAM IN ANALYZING EACH SET OF DATA.  THE UNBALANCED DATA     *
*  SETS USED IN THE FIRST TWO EXAMPLES WERE TAKEN FROM LINEAR MODELS   *
*  BY SEARLE.  THE FIRST DATA SET IS USED IN CHAPTER 7 TO ILLUSTRATE   *
*  THE TWO-WAY CLASSIFICATION WITH INTERACTION.  THE SECOND IS USED    *
*  IN CHAPTER 6 TO ILLUSTRATE THE TWO-WAY NESTED CLASSIFICATION.  THE  *
*  THIRD EXAMPLE INVOLVING BALANCED DATA WITH 2 CROSSED FACTORS, 2     *
*  NESTED FACTORS, AND INTERACTION TERMS APPEARS IN APPENDIX B OF STA- *
*  TISTICAL COMPUTATIONS ON A DIGITAL COMPUTER BY HEMMERLE.  THE FINAL *
*  EXAMPLE, A LATIN SQUARE, WAS EXTRACTED FROM STATISTICAL METHODS BY  *
*  SNEDECOR (5TH EDITION, PAGE 308).  THESE SAMPLE PROBLEMS HAVE ALL   *
*  BEEN RUN IN BATCH MODE.                                             *
*     THE DATA BEGINS AFTER THE NEXT LINE.                             *
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