Frequencies for Culture with 146 observations. Categories 1.0000 2.0000 Absolute frequencies 69 77 Percentages 47.2603 52.7397 Frequencies for Sex with 146 observations. Categories 1.0000 2.0000 Absolute frequencies 66 80 Percentages 45.2055 54.7945 Frequencies for Year with 146 observations. Categories 1.0000 2.0000 3.0000 4.0000 Absolute frequencies 27 46 40 33 Percentages 18.4932 31.5068 27.3973 22.6027 Frequencies for Learner with 146 observations. Categories 1.0000 2.0000 Absolute frequencies 63 83 Percentages 43.1507 56.8493 Mean of Absence = 16.458905 with 146 observations. Variance = 262.357919 Standard deviation = 16.197466 Skew = 1.523315 Kurtosis = 0.034934 Minimum = 0 Maximum = 81.000002 Two-Way Contingency Table Frequencies, Row PerCents, Column PerCents, Overall PerCents Sex 1 2 Culture 1 31 38 69 44.93 55.07 100.00 46.97 47.50 47.26 21.23 26.03 47.26 2 35 42 77 45.45 54.55 100.00 53.03 52.50 52.74 23.97 28.77 52.74 66 80 146 45.21 54.79 100.00 100.00 100.00 100.00 45.21 54.79 100.00 Log Linear/Logistic Model Mean parameters for Culture 1 2 -0.055 0.055 Mean parameters for Sex 1 2 -0.096 0.096 Association parameters: Culture*Sex Sex 1 2 Culture 1 -0.005 0.005 2 0.005 -0.005 Chi-square = 0.00 with 1 d.f. (p=0.9488) Two-Way Contingency Table Frequencies, Row PerCents, Column PerCents, Overall PerCents Year 1 2 3 4 Culture 1 13 20 20 16 69 18.84 28.99 28.99 23.19 100.00 48.15 43.48 50.00 48.48 47.26 8.90 13.70 13.70 10.96 47.26 2 14 26 20 17 77 18.18 33.77 25.97 22.08 100.00 51.85 56.52 50.00 51.52 52.74 9.59 17.81 13.70 11.64 52.74 27 46 40 33 146 18.49 31.51 27.40 22.60 100.00 100.00 100.00 100.00 100.00 100.00 18.49 31.51 27.40 22.60 100.00 Log Linear/Logistic Model Mean parameters for Culture 1 2 -0.050 0.050 Mean parameters for Year 1 2 3 4 -0.280 0.245 0.114 -0.079 Association parameters: Culture*Year Year 1 2 3 4 Culture 1 0.013 -0.082 0.050 0.019 2 -0.013 0.082 -0.050 -0.019 Chi-square = 0.41 with 3 d.f. (p=0.9374) Two-Way Contingency Table Frequencies, Row PerCents, Column PerCents, Overall PerCents Learner 1 2 Culture 1 29 40 69 42.03 57.97 100.00 46.03 48.19 47.26 19.86 27.40 47.26 2 34 43 77 44.16 55.84 100.00 53.97 51.81 52.74 23.29 29.45 52.74 63 83 146 43.15 56.85 100.00 100.00 100.00 100.00 43.15 56.85 100.00 Log Linear/Logistic Model Mean parameters for Culture 1 2 -0.058 0.058 Mean parameters for Learner 1 2 -0.139 0.139 Association parameters: Culture*Learner Learner 1 2 Culture 1 -0.022 0.022 2 0.022 -0.022 Chi-square = 0.07 with 1 d.f. (p=0.7956) Two-Way Contingency Table Frequencies, Row PerCents, Column PerCents, Overall PerCents Year 1 2 3 4 Sex 1 17 14 21 14 66 25.76 21.21 31.82 21.21 100.00 62.96 30.43 52.50 42.42 45.21 11.64 9.59 14.38 9.59 45.21 2 10 32 19 19 80 12.50 40.00 23.75 23.75 100.00 37.04 69.57 47.50 57.58 54.79 6.85 21.92 13.01 13.01 54.79 27 46 40 33 146 18.49 31.51 27.40 22.60 100.00 100.00 100.00 100.00 100.00 100.00 18.49 31.51 27.40 22.60 100.00 Log Linear/Logistic Model Mean parameters for Sex 1 2 -0.063 0.063 Mean parameters for Year 1 2 3 4 -0.284 0.201 0.143 -0.060 Association parameters: Sex*Year Year 1 2 3 4 Sex 1 0.328 -0.351 0.113 -0.090 2 -0.328 0.351 -0.113 0.090 Chi-square = 8.59 with 3 d.f. (p=0.0353) Two-Way Contingency Table Frequencies, Row PerCents, Column PerCents, Overall PerCents Learner 1 2 Sex 1 23 43 66 34.85 65.15 100.00 36.51 51.81 45.21 15.75 29.45 45.21 2 40 40 80 50.00 50.00 100.00 63.49 48.19 54.79 27.40 27.40 54.79 63 83 146 43.15 56.85 100.00 100.00 100.00 100.00 43.15 56.85 100.00 Log Linear/Logistic Model Mean parameters for Sex 1 2 -0.120 0.120 Mean parameters for Learner 1 2 -0.156 0.156 Association parameters: Sex*Learner Learner 1 2 Sex 1 -0.156 0.156 2 0.156 -0.156 Chi-square = 3.41 with 1 d.f. (p=0.0649) Two-Way Contingency Table Frequencies, Row PerCents, Column PerCents, Overall PerCents Year 1 2 3 4 Learner 1 8 31 24 0 63 12.70 49.21 38.10 0.00 100.00 29.63 67.39 60.00 0.00 43.15 5.48 21.23 16.44 0.00 43.15 2 19 15 16 33 83 22.89 18.07 19.28 39.76 100.00 70.37 32.61 40.00 100.00 56.85 13.01 10.27 10.96 22.60 56.85 27 46 40 33 146 18.49 31.51 27.40 22.60 100.00 100.00 100.00 100.00 100.00 100.00 18.49 31.51 27.40 22.60 100.00 Log Linear/Logistic Model Zero count - Parameter estimates are approximate. Mean parameters for Learner 1 2 -0.534 0.534 Mean parameters for Year 1 2 3 4 0.065 0.624 0.529 -1.218 Association parameters: Learner*Year Year 1 2 3 4 Learner 1 0.101 0.897 0.736 -1.734 2 -0.101 -0.897 -0.736 1.734 Chi-square = 54.91 with 3 d.f. (p=0.0000) Three-Way Contingency Table Frequencies, Row PerCents, Column PerCents, Layer PerCents, Overall PerCents Sub-Table for Sex = 1 Year 1 2 3 4 Learner 1 6 10 7 0 23 26.09 43.48 30.43 0.00 100.00 35.29 71.43 33.33 0.00 34.85 75.00 32.26 29.17 0.00 36.51 4.11 6.85 4.79 0.00 15.75 2 11 4 14 14 43 25.58 9.30 32.56 32.56 100.00 64.71 28.57 66.67 100.00 65.15 57.89 26.67 87.50 42.42 51.81 7.53 2.74 9.59 9.59 29.45 17 14 21 14 66 25.76 21.21 31.82 21.21 100.00 100.00 100.00 100.00 100.00 100.00 62.96 30.43 52.50 42.42 45.21 11.64 9.59 14.38 9.59 45.21 Sub-Table for Sex = 2 Year 1 2 3 4 Learner 1 2 21 17 0 40 5.00 52.50 42.50 0.00 100.00 20.00 65.63 89.47 0.00 50.00 25.00 67.74 70.83 0.00 63.49 1.37 14.38 11.64 0.00 27.40 2 8 11 2 19 40 20.00 27.50 5.00 47.50 100.00 80.00 34.38 10.53 100.00 50.00 42.11 73.33 12.50 57.58 48.19 5.48 7.53 1.37 13.01 27.40 10 32 19 19 80 12.50 40.00 23.75 23.75 100.00 100.00 100.00 100.00 100.00 100.00 37.04 69.57 47.50 57.58 54.79 6.85 21.92 13.01 13.01 54.79 Layer Totals and PerCents Year 1 2 3 4 Learner 1 8 31 24 0 63 12.70 49.21 38.10 0.00 100.00 29.63 67.39 60.00 0.00 43.15 100.00 100.00 100.00 100.00 100.00 5.48 21.23 16.44 0.00 43.15 2 19 15 16 33 83 22.89 18.07 19.28 39.76 100.00 70.37 32.61 40.00 100.00 56.85 100.00 100.00 100.00 100.00 100.00 13.01 10.27 10.96 22.60 56.85 27 46 40 33 146 18.49 31.51 27.40 22.60 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 18.49 31.51 27.40 22.60 100.00 Log Linear/Logistic Model Chi-square d.f. Prob. Association Sex *Learner 2.68 1 0.1013 Association Sex *Year 7.86 3 0.0490 Association Learner *Year 54.18 3 0.0000 Association Sex *Learner *Year 12.52 3 0.0058 Interaction Model Zero count - Parameter estimates are approximate. Mean parameters: Sex 0.026-0.026 Mean parameters: Learner -0.401 0.401 Mean parameters: Year -0.006 0.537 0.282-0.812 Association Sex*Learner parameters: Learner 1 2 Sex 1 -0.092 0.092 Sex 2 0.092-0.092 Association Sex*Year parameters: Year 1 2 3 4 Sex 1 0.328-0.464 0.239-0.102 Sex 2 -0.328 0.464-0.239 0.102 Association Learner*Year parameters: Year 1 2 3 4 Learne 1 -0.097 0.792 0.763-1.457 Learne 2 0.097-0.792-0.763 1.457 Association Sex*Learner*Year parameters: Year 1 2 3 4 Sex 1 Learne 1 0.287 0.160-0.616 0.169 Sex 2 Learne 1 -0.287-0.160 0.616-0.169 Sex 1 Learne 2 -0.287-0.160 0.616-0.169 Sex 2 Learne 2 0.287 0.160-0.616 0.169 One-Way Analysis of Variance Dependent variable: Absence; Independent variable: Culture Category 1 2 Mean 21.2319 12.1818 S.D. 17.7185 13.5605 Number 69 77 SS MSS d.f. F Prob. Overall effect 38304.2590 264.1673 145 Culture 2980.5118 2980.5118 1 12.15 0.0006 Residual 35323.7473 245.3038 144 One-Way Analysis of Variance Dependent variable: Absence; Independent variable: Sex Category 1 2 Mean 17.9545 15.2250 S.D. 16.6340 15.9310 Number 66 80 SS MSS d.f. F Prob. Overall effect 38304.2590 264.1673 145 Sex 269.4453 269.4453 1 1.02 0.3142 Residual 38034.8137 264.1307 144 One-Way Analysis of Variance Dependent variable: Absence; Independent variable: Year Category 1 2 3 4 Mean 14.8519 11.1522 21.0500 19.6061 S.D. 14.7953 11.6409 20.1366 15.9745 Number 27 46 40 33 SS MSS d.f. F Prob. Overall effect 38304.2590 264.1673 145 Year 2535.1368 845.0456 3 3.35 0.0207 Residual 35769.1223 251.8952 142 One-Way Analysis of Variance Dependent variable: Absence; Independent variable: Learner Category 1 2 Mean 17.3016 15.8193 S.D. 18.9904 13.9101 Number 63 83 SS MSS d.f. F Prob. Overall effect 38304.2590 264.1673 145 Learner 78.6992 78.6992 1 0.30 0.5869 Residual 38225.5598 265.4553 144 Two-Way Analysis of Variance Dependent variable: Absence; Independent variables: Culture Year Culture 1 Year 1 2 3 4 Mean 13.8462 16.5500 31.6500 20.0625 S.D. 11.8592 14.7523 21.9480 14.2196 Number 13 20 20 16 Culture 2 Year 1 2 3 4 Mean 15.7857 7.0000 10.4500 19.1765 S.D. 17.4936 6.1057 10.6794 17.8998 Number 14 26 20 17 Analysis of Variance Table SS MSS d.f. F Prob. Total 38304.2512 264.1672 145 Overall Effect 8092.3458 1156.0495 7 5.28 0.0000 Culture 2720.2891 2720.2891 1 12.43 0.0006 Year 2274.9122 758.3040 3 3.46 0.0181 Interaction 2836.9249 945.6416 3 4.32 0.0060 Within Cells 30211.9069 218.9269 138 Parameter values - Interaction Model Mean 16.8151 Main Effect Culture 3.7121 -3.7121 Main Effect Year -1.9992 -5.0401 4.2349 2.8044 Interaction Effect: Culture*Year Culture 1 -4.6818 1.0629 6.8879 -3.2690 2 4.6818 -1.0629 -6.8879 3.2690 Frequencies for Absence with 146 observations. Categories 2.2500 11.2500 20.2500 29.2500 38.2500 47.2500 56.2500 Absolute frequencies 63 36 16 10 9 6 3 Percentages 43.1507 24.6575 10.9589 6.8493 6.1644 4.1096 2.0548 Categories 65.2500 83.2500 Absolute frequencies 2 1 Percentages 1.3699 0.6849 *** Multinomial Distribution for Absence Category 2.25 11.25 20.25 29.25 38.25 47.25 56.25 Abs. freq. 63 36 16 10 9 6 6 Rel. freq. 0.4315 0.2466 0.1096 0.0685 0.0616 0.0411 0.0411 Log L(Multinomial) = 498.6875697 *** Normal Distribution. Mean = 14.579 Variance = 236.358 Category 2.25 11.25 20.25 29.25 38.25 47.25 56.25 Rel. freq. 0.4315 0.2466 0.1096 0.0685 0.0616 0.0411 0.0411 Prob. 0.1693 0.2281 0.2182 0.1481 0.0714 0.0244 0.0012 Chi2(Normal) = 132.44 with 4 d.f. (p = 0.0000) *** Log Normal Distribution. Mean = 2.056 Variance = 1.369 Category 2.25 11.25 20.25 29.25 38.25 47.25 56.25 Rel. freq. 0.4315 0.2466 0.1096 0.0685 0.0616 0.0411 0.0411 Prob. 0.6127 0.2057 0.0862 0.0440 0.0253 0.0158 0.0363 Chi2(Log Normal) = 14.45 with 4 d.f. (p = 0.0060) *** Inverse Gaussian Distribution. Mean = 14.579 Variance = 0.156 Category 2.25 11.25 20.25 29.25 38.25 47.25 56.25 Rel. freq. 0.4315 0.2466 0.1096 0.0685 0.0616 0.0411 0.0411 Prob. 0.6835 0.1668 0.0684 0.0361 0.0216 0.0140 0.0376 Chi2(Inverse Gaussian) = 30.89 with 4 d.f. (p = 0.0001) *** Trans. Normal Distribution. Mean = 1.184 Variance = 0.012 C = 0.080 Category 2.25 11.25 20.25 29.25 38.25 47.25 56.25 Rel. freq. 0.4315 0.2466 0.1096 0.0685 0.0616 0.0411 0.0411 Prob. 0.5770 0.2198 0.0970 0.0498 0.0282 0.0171 0.0314 Chi2(Trans. Normal) = 9.68 with 3 d.f. (p = 0.0215) *** Exponential Distribution. Mean = 14.579 Category 2.25 11.25 20.25 29.25 38.25 47.25 56.25 Rel. freq. 0.4315 0.2466 0.1096 0.0685 0.0616 0.0411 0.0411 Prob. 0.4668 0.2518 0.1358 0.0733 0.0395 0.0213 0.0153 Chi2(Exponential) = 8.15 with 5 d.f. (p = 0.1481) *** Gamma Distribution. Mean = 15.613 Shape Parameter = 0.934 Category 2.25 11.25 20.25 29.25 38.25 47.25 56.25 Rel. freq. 0.4315 0.2466 0.1096 0.0685 0.0616 0.0411 0.0411 Prob. 0.4804 0.2426 0.1311 0.0719 0.0397 0.0220 0.0174 Chi2(Gamma) = 6.64 with 4 d.f. (p = 0.1561) *** Weibull Distribution. Mean = 14.084 Shape Parameter = 0.932 Category 2.25 11.25 20.25 29.25 38.25 47.25 56.25 Rel. freq. 0.4315 0.2466 0.1096 0.0685 0.0616 0.0411 0.0411 Prob. 0.4954 0.2365 0.1258 0.0691 0.0387 0.0220 0.0199 Chi2(Weibull) = 5.65 with 4 d.f. (p = 0.2271) *** Extreme Value Distribution. Mean = 0.440 Shape Parameter = -0.102 Category 2.25 11.25 20.25 29.25 38.25 47.25 56.25 Rel. freq. 0.4315 0.2466 0.1096 0.0685 0.0616 0.0411 0.0411 Prob. 0.2729 0.3223 0.1981 0.0939 0.0401 0.0164 0.0044 Chi2(Extreme Value) = 58.74 with 4 d.f. (p = 0.0000) One-Way Analysis of Variance Dependent variable: TrAbsence; Independent variable: Culture Category 1 2 Mean 1.2263 1.0694 S.D. 0.1752 0.3770 Number 69 77 SS MSS d.f. F Prob. Overall effect 13.7873 0.0951 145 Culture 0.8966 0.8966 1 10.02 0.0019 Residual 12.8907 0.0895 144 One-Way Analysis of Variance Dependent variable: TrAbsence; Independent variable: Sex Category 1 2 Mean 1.1234 1.1601 S.D. 0.3684 0.2495 Number 66 80 SS MSS d.f. F Prob. Overall effect 13.7873 0.0951 145 Sex 0.0487 0.0487 1 0.51 0.4761 Residual 13.7386 0.0954 144 One-Way Analysis of Variance Dependent variable: TrAbsence; Independent variable: Year Category 1 2 3 4 Mean 1.1263 1.1129 1.1729 1.1648 S.D. 0.3351 0.3060 0.2937 0.3157 Number 27 46 40 33 SS MSS d.f. F Prob. Overall effect 13.7873 0.0951 145 Year 0.1007 0.0336 3 0.35 0.7905 Residual 13.6866 0.0964 142 One-Way Analysis of Variance Dependent variable: TrAbsence; Independent variable: Learner Category 1 2 Mean 1.1413 1.1453 S.D. 0.3145 0.3055 Number 63 83 SS MSS d.f. F Prob. Overall effect 13.7873 0.0951 145 Learner 0.0006 0.0006 1 0.01 0.9375 Residual 13.7867 0.0957 144 Two-Way Analysis of Variance Dependent variable: TrAbsence; Independent variables: Culture Year Culture 1 Year 1 2 3 4 Mean 1.2034 1.2237 1.2886 1.1704 S.D. 0.0865 0.0770 0.0930 0.3251 Number 13 20 20 16 Culture 2 Year 1 2 3 4 Mean 1.0547 1.0277 1.0572 1.1595 S.D. 0.4541 0.3829 0.3745 0.3165 Number 14 26 20 17 Analysis of Variance Table SS MSS d.f. F Prob. Total 13.7873 0.0951 145 Overall Effect 1.2206 0.1744 7 1.91 0.0716 Culture 0.8710 0.8710 1 9.56 0.0024 Year 0.0751 0.0250 3 0.28 0.8434 Interaction 0.2489 0.0830 3 0.91 0.4375 Within Cells 12.5667 0.0911 138 Parameter values - No Interaction Model Mean 1.1481 Main Effect Culture 0.0775 -0.0775 Main Effect Year -0.0189 -0.0251 0.0248 0.0191