The SAS System 12:27 Tuesday, April 24, 2007 8 The FREQ Procedure Table of gender by Stress gender Stress Frequency‚ Percent ‚ Row Pct ‚ Col Pct ‚ 1‚ 2‚ 3‚ Total ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ 1 ‚ 83 ‚ 32 ‚ 29 ‚ 144 ‚ 28.33 ‚ 10.92 ‚ 9.90 ‚ 49.15 ‚ 57.64 ‚ 22.22 ‚ 20.14 ‚ ‚ 59.71 ‚ 35.16 ‚ 46.03 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ 2 ‚ 56 ‚ 59 ‚ 34 ‚ 149 ‚ 19.11 ‚ 20.14 ‚ 11.60 ‚ 50.85 ‚ 37.58 ‚ 39.60 ‚ 22.82 ‚ ‚ 40.29 ‚ 64.84 ‚ 53.97 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ Total 139 91 63 293 47.44 31.06 21.50 100.00 Statistics for Table of gender by Stress Statistic DF Value Prob ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ Chi-Square 2 13.5710 0.0011 Likelihood Ratio Chi-Square 2 13.7229 0.0010 Mantel-Haenszel Chi-Square 1 6.0631 0.0138 Phi Coefficient 0.2152 Contingency Coefficient 0.2104 Cramer's V 0.2152 Sample Size = 293 The SAS System 12:27 Tuesday, April 24, 2007 9 The CATMOD Procedure Data Summary Response Stress Response Levels 3 Weight Variable count Populations 6 Data Set STRESS Total Frequency 293 Frequency Missing 0 Observations 53 Population Profiles Sample gender age Sample Size ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ 1 1 1 48 2 1 2 48 3 1 3 48 4 2 1 51 5 2 2 51 6 2 3 47 Response Profiles Response Stress ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ 1 1 2 2 3 3 Maximum Likelihood Analysis Maximum likelihood computations converged. Maximum Likelihood Analysis of Variance Source DF Chi-Square Pr > ChiSq ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ Intercept 2 29.09 <.0001 gender 2 13.20 0.0014 age 4 14.25 0.0065 Likelihood Ratio 4 2.02 0.7327 The SAS System 12:27 Tuesday, April 24, 2007 10 The CATMOD Procedure Analysis of Maximum Likelihood Estimates Function Standard Chi- Parameter Number Estimate Error Square Pr > ChiSq ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ Intercept 1 0.8616 0.1660 26.93 <.0001 2 0.4255 0.1787 5.67 0.0173 gender 1 1 0.2827 0.1575 3.22 0.0726 1 2 -0.2222 0.1689 1.73 0.1883 age 1 1 -0.7053 0.2180 10.47 0.0012 1 2 -0.4646 0.2294 4.10 0.0428 2 1 -0.1606 0.2242 0.51 0.4737 2 2 -0.0945 0.2380 0.16 0.6914 Maximum Likelihood Predicted Values for Response Functions ------Observed------ ------Predicted----- Function Standard Standard gender age Number Function Error Function Error Residual ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ 1 1 1 0.538997 0.336296 0.439 0.287366 0.099997 2 -0.33647 0.414039 -0.26137 0.322756 -0.0751 1 2 1 0.897942 0.357696 0.983683 0.30535 -0.08574 2 -0.09531 0.436931 0.108746 0.341966 -0.20406 1 3 1 2.079442 0.53033 2.010291 0.381125 0.06915 2 1.098612 0.57735 0.762336 0.419042 0.336277 2 1 1 -0.26826 0.368438 -0.12647 0.295969 -0.1418 2 0.211309 0.326255 0.183065 0.291092 0.028244 2 2 1 0.492476 0.382707 0.418216 0.305982 0.07426 2 0.693147 0.369274 0.553182 0.310783 0.139965 2 3 1 1.427116 0.454606 1.444825 0.376026 -0.01771 2 0.980829 0.478714 1.206771 0.394987 -0.22594 The SAS System 12:27 Tuesday, April 24, 2007 11 The CATMOD Procedure Maximum Likelihood Predicted Values for Frequencies -------Observed------ ------Predicted------ Standard Standard gender age Stress Frequency Error Frequency Error Residual ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ 1 1 1 24 3.464102 22.41857 2.877443 1.581431 2 10 2.813657 11.12861 2.306405 -1.12861 3 14 3.149074 14.45282 2.68987 -0.45282 1 2 1 27 3.436932 26.80337 2.833259 0.196629 2 10 2.813657 11.17401 2.297814 -1.17401 3 11 2.911901 10.02262 2.291795 0.97738 1 3 1 32 3.265986 33.77806 2.532299 -1.77806 2 12 3 9.69738 2.159922 2.30262 3 4 1.914854 4.524559 1.521347 -0.52456 2 1 1 13 3.112278 14.58143 2.596963 -1.58143 2 21 3.514675 19.87139 2.983259 1.12861 3 17 3.366502 16.54718 2.883174 0.452821 2 2 1 18 3.412779 18.19663 2.809842 -0.19663 2 22 3.53692 20.82599 3.004799 1.17401 3 11 2.937252 11.97738 2.546948 -0.97738 2 3 1 25 3.420837 23.22194 2.855343 1.778061 2 16 3.248568 18.30262 2.846458 -2.30262 3 6 2.287803 5.475441 1.747519 0.524559