The SAS System The FREQ Procedure Table 1 of D by S Controlling for A=Reject D S Frequency| Expected | Percent |Male |Female | Total ---------+--------+--------+ DeptA | 313 | 19 | 332 | 178.82 | 153.18 | | 11.30 | 0.69 | 11.99 ---------+--------+--------+ DeptB | 207 | 8 | 215 | 115.81 | 99.195 | | 7.47 | 0.29 | 7.76 ---------+--------+--------+ DeptC | 205 | 391 | 596 | 321.02 | 274.98 | | 7.40 | 14.12 | 21.52 ---------+--------+--------+ DeptD | 278 | 244 | 522 | 281.16 | 240.84 | | 10.04 | 8.81 | 18.84 ---------+--------+--------+ DeptE | 138 | 299 | 437 | 235.38 | 201.62 | | 4.98 | 10.79 | 15.78 ---------+--------+--------+ DeptF | 351 | 317 | 668 | 359.8 | 308.2 | | 12.67 | 11.44 | 24.12 ---------+--------+--------+ Total 1492 1278 2770 53.86 46.14 100.00 Statistics for Table 1 of D by S Controlling for A=Reject Statistic DF Value Prob ------------------------------------------------------ Chi-Square 5 552.6134 <.0001 Likelihood Ratio Chi-Square 5 651.5099 <.0001 Mantel-Haenszel Chi-Square 1 182.1051 <.0001 Phi Coefficient 0.4467 Contingency Coefficient 0.4078 Cramer's V 0.4467 Sample Size = 2770 The SAS System The FREQ Procedure Table 2 of D by S Controlling for A=Accept D S Frequency| Expected | Percent |Male |Female | Total ---------+--------+--------+ DeptA | 512 | 89 | 601 | 410.36 | 190.64 | | 29.16 | 5.07 | 34.23 ---------+--------+--------+ DeptB | 353 | 17 | 370 | 252.64 | 117.36 | | 20.10 | 0.97 | 21.07 ---------+--------+--------+ DeptC | 120 | 202 | 322 | 219.86 | 102.14 | | 6.83 | 11.50 | 18.34 ---------+--------+--------+ DeptD | 139 | 131 | 270 | 184.36 | 85.644 | | 7.92 | 7.46 | 15.38 ---------+--------+--------+ DeptE | 53 | 94 | 147 | 100.37 | 46.628 | | 3.02 | 5.35 | 8.37 ---------+--------+--------+ DeptF | 22 | 24 | 46 | 31.409 | 14.591 | | 1.25 | 1.37 | 2.62 ---------+--------+--------+ Total 1199 557 1756 68.28 31.72 100.00 Statistics for Table 2 of D by S Controlling for A=Accept Statistic DF Value Prob ------------------------------------------------------ Chi-Square 5 462.6010 <.0001 Likelihood Ratio Chi-Square 5 496.8442 <.0001 Mantel-Haenszel Chi-Square 1 284.3401 <.0001 Phi Coefficient 0.5133 Contingency Coefficient 0.4566 Cramer's V 0.5133 Sample Size = 1756 The SAS System The FREQ Procedure Summary Statistics for D by S Controlling for A Cochran-Mantel-Haenszel Statistics (Based on Table Scores) Statistic Alternative Hypothesis DF Value Prob --------------------------------------------------------------- 1 Nonzero Correlation 1 419.8134 <.0001 2 Row Mean Scores Differ 5 1010.8996 <.0001 3 General Association 5 1010.8996 <.0001 Total Sample Size = 4526 The SAS System The FREQ Procedure Table of D by S D S Frequency| Percent | Row Pct | Col Pct |Male |Female | Total ---------+--------+--------+ DeptA | 825 | 108 | 933 | 18.23 | 2.39 | 20.61 | 88.42 | 11.58 | | 30.66 | 5.89 | ---------+--------+--------+ DeptB | 560 | 25 | 585 | 12.37 | 0.55 | 12.93 | 95.73 | 4.27 | | 20.81 | 1.36 | ---------+--------+--------+ DeptC | 325 | 593 | 918 | 7.18 | 13.10 | 20.28 | 35.40 | 64.60 | | 12.08 | 32.32 | ---------+--------+--------+ DeptD | 417 | 375 | 792 | 9.21 | 8.29 | 17.50 | 52.65 | 47.35 | | 15.50 | 20.44 | ---------+--------+--------+ DeptE | 191 | 393 | 584 | 4.22 | 8.68 | 12.90 | 32.71 | 67.29 | | 7.10 | 21.42 | ---------+--------+--------+ DeptF | 373 | 341 | 714 | 8.24 | 7.53 | 15.78 | 52.24 | 47.76 | | 13.86 | 18.58 | ---------+--------+--------+ Total 2691 1835 4526 59.46 40.54 100.00 The SAS System The FREQ Procedure Statistics for Table of D by S Statistic DF Value Prob ------------------------------------------------------ Chi-Square 5 1068.3717 <.0001 Likelihood Ratio Chi-Square 5 1220.6148 <.0001 Mantel-Haenszel Chi-Square 1 507.0346 <.0001 Phi Coefficient 0.4859 Contingency Coefficient 0.4370 Cramer's V 0.4859 Sample Size = 4526 The SAS System The GENMOD Procedure Model Information Data Set WORK.BERKELEY Distribution Poisson Link Function Log Dependent Variable count Number of Observations Read 24 Number of Observations Used 24 Class Level Information Class Levels Values D 6 DeptA DeptB DeptC DeptD DeptE DeptF S 2 Male Female A 2 Reject Accept Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 0 0.0000 . Scaled Deviance 0 0.0000 . Pearson Chi-Square 0 0.0000 . Scaled Pearson X2 0 0.0000 . Log Likelihood 20512.5071 Algorithm converged. Analysis Of Parameter Estimates Standard Wald 95% Parameter DF Estimate Error Confidence Limits Intercept 1 3.1781 0.2041 2.7780 3.5781 D DeptA 1 1.3106 0.2300 0.8598 1.7614 D DeptB 1 -0.3448 0.3170 -0.9662 0.2765 D DeptC 1 2.1302 0.2159 1.7070 2.5534 Analysis Of Parameter Estimates Chi- Parameter Square Pr > ChiSq Intercept 242.40 <.0001 D DeptA 32.47 <.0001 D DeptB 1.18 0.2767 D DeptC 97.34 <.0001 The SAS System The GENMOD Procedure Analysis Of Parameter Estimates Standard Wald 95% Parameter DF Estimate Error Confidence Limits D DeptD 1 1.6971 0.2220 1.2620 2.1323 D DeptE 1 1.3652 0.2287 0.9170 1.8135 D DeptF 0 0.0000 0.0000 0.0000 0.0000 S Male 1 -0.0870 0.2952 -0.6655 0.4915 S Female 0 0.0000 0.0000 0.0000 0.0000 A Reject 1 2.5808 0.2117 2.1659 2.9958 A Accept 0 0.0000 0.0000 0.0000 0.0000 D*S DeptA Male 1 1.8367 0.3167 1.2159 2.4575 D*S DeptA Female 0 0.0000 0.0000 0.0000 0.0000 D*S DeptB Male 1 3.1203 0.3857 2.3643 3.8763 D*S DeptB Female 0 0.0000 0.0000 0.0000 0.0000 D*S DeptC Male 1 -0.4338 0.3169 -1.0548 0.1873 D*S DeptC Female 0 0.0000 0.0000 0.0000 0.0000 D*S DeptD Male 1 0.1463 0.3193 -0.4795 0.7721 D*S DeptD Female 0 0.0000 0.0000 0.0000 0.0000 D*S DeptE Male 1 -0.4860 0.3415 -1.1553 0.1834 D*S DeptE Female 0 0.0000 0.0000 0.0000 0.0000 D*S DeptF Male 0 0.0000 0.0000 0.0000 0.0000 D*S DeptF Female 0 0.0000 0.0000 0.0000 0.0000 D*A DeptA Reject 1 -4.1250 0.3297 -4.7712 -3.4789 D*A DeptA Accept 0 0.0000 0.0000 0.0000 0.0000 D*A DeptB Reject 1 -3.3346 0.4782 -4.2718 -2.3974 D*A DeptB Accept 0 0.0000 0.0000 0.0000 0.0000 D*A DeptC Reject 1 -1.9204 0.2288 -2.3688 -1.4721 D*A DeptC Accept 0 0.0000 0.0000 0.0000 0.0000 D*A DeptD Reject 1 -1.9589 0.2378 -2.4250 -1.4928 D*A DeptD Accept 0 0.0000 0.0000 0.0000 0.0000 D*A DeptE Reject 1 -1.4237 0.2425 -1.8990 -0.9484 D*A DeptE Accept 0 0.0000 0.0000 0.0000 0.0000 D*A DeptF Reject 0 0.0000 0.0000 0.0000 0.0000 D*A DeptF Accept 0 0.0000 0.0000 0.0000 0.0000 S*A Male Reject 1 0.1889 0.3052 -0.4092 0.7870 S*A Male Accept 0 0.0000 0.0000 0.0000 0.0000 S*A Female Reject 0 0.0000 0.0000 0.0000 0.0000 S*A Female Accept 0 0.0000 0.0000 0.0000 0.0000 D*S*A DeptA Male Reject 1 0.8632 0.4027 0.0740 1.6524 D*S*A DeptA Male Accept 0 0.0000 0.0000 0.0000 0.0000 D*S*A DeptA Female Reject 0 0.0000 0.0000 0.0000 0.0000 D*S*A DeptA Female Accept 0 0.0000 0.0000 0.0000 0.0000 D*S*A DeptB Male Reject 1 0.0311 0.5335 -1.0145 1.0767 D*S*A DeptB Male Accept 0 0.0000 0.0000 0.0000 0.0000 D*S*A DeptB Female Reject 0 0.0000 0.0000 0.0000 0.0000 D*S*A DeptB Female Accept 0 0.0000 0.0000 0.0000 0.0000 D*S*A DeptC Male Reject 1 -0.3138 0.3374 -0.9751 0.3475 D*S*A DeptC Male Accept 0 0.0000 0.0000 0.0000 0.0000 D*S*A DeptC Female Reject 0 0.0000 0.0000 0.0000 0.0000 D*S*A DeptC Female Accept 0 0.0000 0.0000 0.0000 0.0000 D*S*A DeptD Male Reject 1 -0.1177 0.3401 -0.7842 0.5488 D*S*A DeptD Male Accept 0 0.0000 0.0000 0.0000 0.0000 D*S*A DeptD Female Reject 0 0.0000 0.0000 0.0000 0.0000 D*S*A DeptD Female Accept 0 0.0000 0.0000 0.0000 0.0000 The SAS System The GENMOD Procedure Analysis Of Parameter Estimates Chi- Parameter Square Pr > ChiSq D DeptD 58.42 <.0001 D DeptE 35.63 <.0001 D DeptF . . S Male 0.09 0.7682 S Female . . A Reject 148.61 <.0001 A Accept . . D*S DeptA Male 33.63 <.0001 D*S DeptA Female . . D*S DeptB Male 65.44 <.0001 D*S DeptB Female . . D*S DeptC Male 1.87 0.1710 D*S DeptC Female . . D*S DeptD Male 0.21 0.6468 D*S DeptD Female . . D*S DeptE Male 2.03 0.1547 D*S DeptE Female . . D*S DeptF Male . . D*S DeptF Female . . D*A DeptA Reject 156.56 <.0001 D*A DeptA Accept . . D*A DeptB Reject 48.63 <.0001 D*A DeptB Accept . . D*A DeptC Reject 70.48 <.0001 D*A DeptC Accept . . D*A DeptD Reject 67.85 <.0001 D*A DeptD Accept . . D*A DeptE Reject 34.47 <.0001 D*A DeptE Accept . . D*A DeptF Reject . . D*A DeptF Accept . . S*A Male Reject 0.38 0.5359 S*A Male Accept . . S*A Female Reject . . S*A Female Accept . . D*S*A DeptA Male Reject 4.60 0.0321 D*S*A DeptA Male Accept . . D*S*A DeptA Female Reject . . D*S*A DeptA Female Accept . . D*S*A DeptB Male Reject 0.00 0.9535 D*S*A DeptB Male Accept . . D*S*A DeptB Female Reject . . D*S*A DeptB Female Accept . . D*S*A DeptC Male Reject 0.87 0.3523 D*S*A DeptC Male Accept . . D*S*A DeptC Female Reject . . D*S*A DeptC Female Accept . . D*S*A DeptD Male Reject 0.12 0.7292 D*S*A DeptD Male Accept . . D*S*A DeptD Female Reject . . D*S*A DeptD Female Accept . . The SAS System The GENMOD Procedure Analysis Of Parameter Estimates Standard Wald 95% Parameter DF Estimate Error Confidence Limits D*S*A DeptE Male Reject 1 -0.3891 0.3650 -1.1045 0.3263 D*S*A DeptE Male Accept 0 0.0000 0.0000 0.0000 0.0000 D*S*A DeptE Female Reject 0 0.0000 0.0000 0.0000 0.0000 D*S*A DeptE Female Accept 0 0.0000 0.0000 0.0000 0.0000 D*S*A DeptF Male Reject 0 0.0000 0.0000 0.0000 0.0000 D*S*A DeptF Male Accept 0 0.0000 0.0000 0.0000 0.0000 D*S*A DeptF Female Reject 0 0.0000 0.0000 0.0000 0.0000 D*S*A DeptF Female Accept 0 0.0000 0.0000 0.0000 0.0000 Scale 0 1.0000 0.0000 1.0000 1.0000 Analysis Of Parameter Estimates Chi- Parameter Square Pr > ChiSq D*S*A DeptE Male Reject 1.14 0.2864 D*S*A DeptE Male Accept . . D*S*A DeptE Female Reject . . D*S*A DeptE Female Accept . . D*S*A DeptF Male Reject . . D*S*A DeptF Male Accept . . D*S*A DeptF Female Reject . . D*S*A DeptF Female Accept . . Scale NOTE: The scale parameter was held fixed. The SAS System The GENMOD Procedure Model Information Data Set WORK.BERKELEY Distribution Poisson Link Function Log Dependent Variable count Number of Observations Read 24 Number of Observations Used 24 Class Level Information Class Levels Values D 6 DeptA DeptB DeptC DeptD DeptE DeptF S 2 Male Female A 2 Reject Accept Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 16 2097.1867 131.0742 Scaled Deviance 16 2097.1867 131.0742 Pearson Chi-Square 16 1999.5526 124.9720 Scaled Pearson X2 16 1999.5526 124.9720 Log Likelihood 19463.9137 Algorithm converged. Analysis Of Parameter Estimates Standard Wald 95% Confidence Chi- Parameter DF Estimate Error Limits Square Intercept 1 4.7213 0.0455 4.6320 4.8105 10752.3 D DeptA 1 0.2675 0.0497 0.1701 0.3650 28.95 D DeptB 1 -0.1993 0.0558 -0.3086 -0.0900 12.77 D DeptC 1 0.2513 0.0499 0.1535 0.3491 25.37 Analysis Of Parameter Estimates Parameter Pr > ChiSq Intercept <.0001 D DeptA <.0001 D DeptB 0.0004 D DeptC <.0001 The SAS System The GENMOD Procedure Analysis Of Parameter Estimates Standard Wald 95% Confidence Chi- Parameter DF Estimate Error Limits Square D DeptD 1 0.1037 0.0516 0.0025 0.2048 4.04 D DeptE 1 -0.2010 0.0558 -0.3103 -0.0916 12.98 D DeptF 0 0.0000 0.0000 0.0000 0.0000 . S Male 1 0.3829 0.0303 0.3235 0.4422 159.93 S Female 0 0.0000 0.0000 0.0000 0.0000 . A Reject 1 0.4558 0.0305 0.3960 0.5156 223.28 A Accept 0 0.0000 0.0000 0.0000 0.0000 . Scale 0 1.0000 0.0000 1.0000 1.0000 Analysis Of Parameter Estimates Parameter Pr > ChiSq D DeptD 0.0445 D DeptE 0.0003 D DeptF . S Male <.0001 S Female . A Reject <.0001 A Accept . Scale NOTE: The scale parameter was held fixed. The SAS System The GENMOD Procedure Model Information Data Set WORK.BERKELEY Distribution Poisson Link Function Log Dependent Variable count Number of Observations Read 24 Number of Observations Used 24 Class Level Information Class Levels Values D 6 DeptA DeptB DeptC DeptD DeptE DeptF S 2 Male Female A 2 Reject Accept Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 11 876.5719 79.6884 Scaled Deviance 11 876.5719 79.6884 Pearson Chi-Square 11 797.0682 72.4607 Scaled Pearson X2 11 797.0682 72.4607 Log Likelihood 20074.2211 Algorithm converged. Analysis Of Parameter Estimates Standard Wald 95% Chi- Parameter DF Estimate Error Confidence Limits Square Intercept 1 4.8851 0.0573 4.7728 4.9974 7273.23 D DeptA 1 -1.1498 0.1104 -1.3662 -0.9333 108.43 D DeptB 1 -2.6130 0.2072 -3.0191 -2.2069 159.04 D DeptC 1 0.5533 0.0680 0.4201 0.6865 66.28 Analysis Of Parameter Estimates Parameter Pr > ChiSq Intercept <.0001 D DeptA <.0001 D DeptB <.0001 D DeptC <.0001 The SAS System The GENMOD Procedure Analysis Of Parameter Estimates Standard Wald 95% Chi- Parameter DF Estimate Error Confidence Limits Square D DeptD 1 0.0950 0.0748 -0.0516 0.2417 1.61 D DeptE 1 0.1419 0.0740 -0.0031 0.2870 3.68 D DeptF 0 0.0000 0.0000 0.0000 0.0000 . S Male 1 0.0897 0.0749 -0.0572 0.2365 1.43 S Female 0 0.0000 0.0000 0.0000 0.0000 . A Reject 1 0.4558 0.0305 0.3960 0.5156 223.28 A Accept 0 0.0000 0.0000 0.0000 0.0000 . D*S DeptA Male 1 1.9436 0.1268 1.6950 2.1921 234.84 D*S DeptA Female 0 0.0000 0.0000 0.0000 0.0000 . D*S DeptB Male 1 3.0194 0.2177 2.5927 3.4461 192.34 D*S DeptB Female 0 0.0000 0.0000 0.0000 0.0000 . D*S DeptC Male 1 -0.6911 0.1019 -0.8907 -0.4914 46.02 D*S DeptC Female 0 0.0000 0.0000 0.0000 0.0000 . D*S DeptD Male 1 0.0165 0.1033 -0.1861 0.2190 0.03 D*S DeptD Female 0 0.0000 0.0000 0.0000 0.0000 . D*S DeptE Male 1 -0.8112 0.1157 -1.0381 -0.5844 49.14 D*S DeptE Female 0 0.0000 0.0000 0.0000 0.0000 . D*S DeptF Male 0 0.0000 0.0000 0.0000 0.0000 . D*S DeptF Female 0 0.0000 0.0000 0.0000 0.0000 . Scale 0 1.0000 0.0000 1.0000 1.0000 Analysis Of Parameter Estimates Parameter Pr > ChiSq D DeptD 0.2040 D DeptE 0.0551 D DeptF . S Male 0.2312 S Female . A Reject <.0001 A Accept . D*S DeptA Male <.0001 D*S DeptA Female . D*S DeptB Male <.0001 D*S DeptB Female . D*S DeptC Male <.0001 D*S DeptC Female . D*S DeptD Male 0.8734 D*S DeptD Female . D*S DeptE Male <.0001 D*S DeptE Female . D*S DeptF Male . D*S DeptF Female . Scale NOTE: The scale parameter was held fixed.