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