The SAS System 11:15 Wednesday, January 22, 2014 4 Obs goals freq 1 0 23 2 1 37 3 2 20 4 3 11 5 4 2 6 5 1 7 6 0 8 7 0 9 8 1 The SAS System 11:15 Wednesday, January 22, 2014 5 n ybar ャャャャャャャャャ 95 1.378947 The SAS System 11:15 Wednesday, January 22, 2014 6 Obs x pihat efreq 1 0 0.25183 23.9239 2 1 0.34727 32.9910 3 2 0.23945 22.7473 4 3 0.11007 10.4562 5 4 0.03794 3.6048 6 5 0.01047 0.9942 7 6 0.00241 0.2285 8 7 0.00047 0.0450 9 8 0.00008 0.0078 11:15 Wednesday, January 22, 2014 7 The FREQ Procedure Cumulative Cumulative goals Frequency Percent Frequency Percent ャャャャャャャャャャャャャャャャャャャャャャャャャャャャャ 0 23 24.21 23 24.21 1 37 38.95 60 63.16 2 20 21.05 80 84.21 3 11 11.58 91 95.79 4 2 2.11 93 97.89 5 1 1.05 94 98.95 6 0 0.00 94 98.95 7 0 0.00 94 98.95 8 1 1.05 95 100.00 Chi-Square Test for Equal Proportions Chi-Square 134.7368 DF 8 Pr > ChiSq <.0001 Sample Size = 95 11:15 Wednesday, January 22, 2014 8 Obs goals freq prob efreq1 res1 devres1 G2 1 0 23 0.11111 10.5556 3.83032 5.98554 35.8267 2 1 37 0.11111 10.5556 8.13943 9.63409 92.8157 3 2 20 0.11111 10.5556 2.90694 5.05601 25.5632 4 3 11 0.11111 10.5556 0.13680 0.95255 0.9073 5 4 2 0.11111 10.5556 -2.63334 -2.57954 -6.6540 6 5 1 0.11111 10.5556 -2.94114 -2.17101 -4.7133 7 6 0 0.11111 10.5556 -3.24893 . . 8 7 0 0.11111 10.5556 -3.24893 . . 9 8 1 0.11111 10.5556 -2.94114 -2.17101 -4.7133 11:15 Wednesday, January 22, 2014 9 Obs goals freq freq1 prob efreq1 res1 devres1 1 0 23 23.5 0.11111 11.0556 3.74270 5.95325 2 1 37 37.5 0.11111 11.0556 7.95324 9.57108 3 2 20 20.5 0.11111 11.0556 2.84044 5.03162 4 3 11 11.5 0.11111 11.0556 0.13367 0.95211 5 4 2 2.5 0.11111 11.0556 -2.57311 -2.72639 6 5 1 1.5 0.11111 11.0556 -2.87386 -2.44794 7 6 0 0.5 0.11111 11.0556 -3.17461 -1.75957 8 7 0 0.5 0.11111 11.0556 -3.17461 -1.75957 9 8 1 1.5 0.11111 11.0556 -2.87386 -2.44794 11:15 Wednesday, January 22, 2014 10 The FREQ Procedure Cumulative Cumulative goals Frequency Percent Frequency Percent ャャャャャャャャャャャャャャャャャャャャャャャャャャャャャ 0 23.5 23.62 23.5 23.62 1 37.5 37.69 61 61.31 2 20.5 20.60 81.5 81.91 3 11.5 11.56 93 93.47 4 2.5 2.51 95.5 95.98 5 1.5 1.51 97 97.49 6 0.5 0.50 97.5 97.99 7 0.5 0.50 98 98.49 8 1.5 1.51 99.5 100.00 Chi-Square Test for Equal Proportions Chi-Square 128.6432 DF 8 Pr > ChiSq <.0001 Sample Size = 99.5 11:15 Wednesday, January 22, 2014 11 G2 pval ャャャャャャャャャ 127.6603 0 11:15 Wednesday, January 22, 2014 12 Obs goals efreq freq res2 devres2 1 0 23.9239 23 -0.1889 -1.34596 2 1 32.9910 37 0.6980 2.91316 3 2 22.7473 20 -0.5760 -2.26905 4 3 10.4562 11 0.1682 1.05615 5 4 3.6048 2 -0.8452 -1.53507 6 5 0.9942 1 0.0058 0.10791 7 6 0.2285 0 -0.4780 . 8 7 0.0450 0 -0.2122 . 9 8 0.0078 1 11.2643 3.11732 11:15 Wednesday, January 22, 2014 13 The FREQ Procedure Test Cumulative Cumulative goals Frequency Percent Percent Frequency Percent ャャャャャャャャャャャャャャャャャャャャャャャャャャャャャャャャャャャ 0 23 24.21 25.18 23 24.21 1 37 38.95 34.73 60 63.16 2 20 21.05 23.94 80 84.21 3 11 11.58 11.01 91 95.79 4 2 2.11 3.79 93 97.89 5 1 1.05 1.05 94 98.95 6 0 0.00 0.24 94 98.95 7 0 0.00 0.05 94 98.95 8 1 1.05 0.01 95 100.00 Chi-Square Test for Specified Proportions Chi-Square 128.7877 DF 8 Pr > ChiSq <.0001 WARNING: 56% of the cells have expected counts less than 5. Chi-Square may not be a valid test. Sample Size = 95 11:15 Wednesday, January 22, 2014 14 G2 pval ャャャャャャャャャ 10.01467 0.187743