Example 7.3.1.----Profile analysis for J goups

y11={41.4, 36.6, 37.0, 36.6, 40.9, 37.2, 40.2, 37.5, 39.2, 37.5};
y12={53.7, 45.0, 50.8, 48.2, 48.3, 51.1, 47.5, 41.8, 47.0, 44.7};
y13={65.9, 68.0, 69.3, 70.1, 66.0, 70.9, 66.0, 63.5, 70.5, 64.8};
y14={57.4, 52.3, 54.9, 54.1, 55.9, 53.3, 55.7, 52.4, 53.3, 53.8};

y21={23.7, 20.7, 20.3, 20.1, 19.0, 19.9, 20.3, 22.1, 21.1, 23.1,
             21.8, 19.3, 19.3, 22.9, 22.5};
y22={28.5, 26.1, 28.4, 30.3, 21.2, 27.8, 27.0, 30.4, 29.4, 31.8,
             30.8, 25.8, 26.4, 27.4, 32.6};
y23={48.9, 44.8, 47.5, 52.8, 47.1, 49.0, 49.7, 49.1, 47.5, 50.6,
             48.7, 50.1, 50.5, 48.0, 52.3};
y24={38.3, 34.8, 38.2, 37.0, 35.9, 36.5, 36.5, 37.9, 36.6, 39.1,
             37.9, 35.8, 35.2, 37.8, 38.2};
y31={32.5, 31.8, 30.8, 28.0, 32.2, 28.7, 34.0, 30.5, 29.3, 27.9,
             29.3, 33.4, 31.7, 27.1};
y32={39.8, 40.9, 37.7, 36.3, 40.6, 35.1, 41.0, 34.5, 37.5, 36.2,
             41.3, 36.4, 39.2, 36.2};
y33={55.7, 63.2, 57.8, 56.3, 62.1, 54.6, 61.2, 56.5, 58.6, 60.2,
             60.2, 55.4, 59.9, 54.8};
y34={47.9, 47.1, 46.4, 44.0, 47.3, 45.3, 48.2, 45.9, 46.0, 45.5,
             46.3, 48.2, 47.4, 44.2};
y41={18.7, 19.5, 18.8, 19.7, 13.4, 20.0, 18.9, 17.7, 23.1, 18.1,
             18.4, 16.0};
y42={20.3, 26.4, 29.2, 25.3, 20.4, 27.8, 26.6, 27.8, 26.7, 26.6,
             25.7, 20.5};
y43={44.1, 50.7, 48.0, 48.0, 42.3, 45.4, 50.5, 47.8, 47.6, 45.4,
             50.6, 43.4};
y44={33.8, 34.6, 36.0, 34.9, 30.0, 33.8, 35.4, 35.8, 36.2, 33.7,
             34.5, 32.5};