The SAS System 8 The FREQ Procedure Table of parent by child parent child Frequency‚ Expected ‚ Percent ‚ Row Pct ‚ Col Pct ‚yes ‚no ‚ Total ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ both ‚ 400 ‚ 1380 ‚ 1780 ‚ 332.49 ‚ 1447.5 ‚ ‚ 7.44 ‚ 25.67 ‚ 33.12 ‚ 22.47 ‚ 77.53 ‚ ‚ 39.84 ‚ 31.57 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ one ‚ 416 ‚ 1823 ‚ 2239 ‚ 418.22 ‚ 1820.8 ‚ ‚ 7.74 ‚ 33.92 ‚ 41.66 ‚ 18.58 ‚ 81.42 ‚ ‚ 41.43 ‚ 41.71 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ neither ‚ 188 ‚ 1168 ‚ 1356 ‚ 253.29 ‚ 1102.7 ‚ ‚ 3.50 ‚ 21.73 ‚ 25.23 ‚ 13.86 ‚ 86.14 ‚ ‚ 18.73 ‚ 26.72 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ Total 1004 4371 5375 18.68 81.32 100.00 Statistics for Table of parent by child Statistic DF Value Prob ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ Chi-Square 2 37.5663 <.0001 Likelihood Ratio Chi-Square 2 38.3658 <.0001 Mantel-Haenszel Chi-Square 1 37.4148 <.0001 Phi Coefficient 0.0836 Contingency Coefficient 0.0833 Cramer's V 0.0836 The SAS System 9 The FREQ Procedure Statistics for Table of parent by child Statistic Value ASE ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ Gamma 0.1770 0.0283 Kendall's Tau-b 0.0786 0.0126 Stuart's Tau-c 0.0701 0.0113 Somers' D C|R 0.0536 0.0087 Somers' D R|C 0.1153 0.0185 Pearson Correlation 0.0834 0.0133 Spearman Correlation 0.0832 0.0134 Lambda Asymmetric C|R 0.0000 0.0000 Lambda Asymmetric R|C 0.0000 0.0000 Lambda Symmetric 0.0000 0.0000 Uncertainty Coefficient C|R 0.0074 0.0024 Uncertainty Coefficient R|C 0.0033 0.0011 Uncertainty Coefficient Symmetric 0.0046 0.0015 Sample Size = 5375 Summary Statistics for parent by child Cochran-Mantel-Haenszel Statistics (Based on Table Scores) Statistic Alternative Hypothesis DF Value Prob ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ 1 Nonzero Correlation 1 37.4148 <.0001 2 Row Mean Scores Differ 2 37.5594 <.0001 3 General Association 2 37.5594 <.0001 Total Sample Size = 5375