ANOVA Test Results Interpretation

This assignment provides a detailed analysis of ANOVA test results, focusing on the interpretation of significance values and the acceptance or rejection of null hypotheses. It includes a breakdown of the interaction effects between different variables and their implications for the study.

Tests of Within-Subjects Effects
Measure: MEASURE_1
Type III Sum of
Squares df Mean Square F Sig.
Partial Eta
Squared
luck Sphericity Assumed 24235.092 2 12117.546 28.788 .000 .178
Greenhouse-Geisser 24235.092 1.676 14462.161 28.788 .000 .178
Huynh-Feldt 24235.092 1.695 14300.747 28.788 .000 .178
Lower-bound 24235.092 1.000 24235.092 28.788 .000 .178
Error(luck) Sphericity Assumed 111967.241 266 420.929
Greenhouse-Geisser 111967.241 222.876 502.375
Huynh-Feldt 111967.241 225.392 496.768
Lower-bound 111967.241 133.000 841.859
equality Sphericity Assumed 17128.757 1 17128.757 14.234 .000 .097
Greenhouse-Geisser 17128.757 1.000 17128.757 14.234 .000 .097
Huynh-Feldt 17128.757 1.000 17128.757 14.234 .000 .097
Lower-bound 17128.757 1.000 17128.757 14.234 .000 .097
Error(equality) Sphericity Assumed 160051.743 133 1203.397
Greenhouse-Geisser 160051.743 133.000 1203.397
Huynh-Feldt 160051.743 133.000 1203.397
Lower-bound 160051.743 133.000 1203.397
luck * equality Sphericity Assumed 1161.873 2 580.937 1.964 .142 .015
Greenhouse-Geisser 1161.873 1.995 582.492 1.964 .142 .015
Huynh-Feldt 1161.873 2.000 580.937 1.964 .142 .015
Lower-bound 1161.873 1.000 1161.873 1.964 .163 .015
Error(luck*equality) Sphericity Assumed 78689.127 266 295.824
Greenhouse-Geisser 78689.127 265.289 296.616
Huynh-Feldt 78689.127 266.000 295.824
Lower-bound 78689.127 133.000 591.648
Greenhouse=
Interaction luck x equality [F(1.995,265.289)=1.964, p > 0.001]
Luck [F(1.676,222.876)=28.788, p < 0.001]
Equality [F(1.000,133.000)=14.234, p <0.001]

Interpretation – The anova test table clearly states that significance value obtained is P= 1.964 which is above 0.001. Therefore, it can
be stated that there is no significant relationship in perceived luck and perceived quality in greenhouse geisser.
Tests of Within-Subjects Effects
Measure: MEASURE_1
Source
Type III Sum of
Squares df Mean Square F Sig.
luck Sphericity Assumed 112.512 2 56.256 .134 .875
Greenhouse-Geisser 112.512 1.680 66.963 .134 .839
Huynh-Feldt 112.512 1.712 65.707 .134 .843
Lower-bound 112.512 1.000 112.512 .134 .715
luck * SDOtotal Sphericity Assumed 926.932 2 463.466 1.102 .334
Greenhouse-Geisser 926.932 1.680 551.674 1.102 .326
Huynh-Feldt 926.932 1.712 541.331 1.102 .327
Lower-bound 926.932 1.000 926.932 1.102 .296
Error(luck) Sphericity Assumed 111040.309 264 420.607
Greenhouse-Geisser 111040.309 221.789 500.658
Huynh-Feldt 111040.309 226.026 491.272
Lower-bound 111040.309 132.000 841.214
equality Sphericity Assumed 442.844 1 442.844 .365 .547
Greenhouse-Geisser 442.844 1.000 442.844 .365 .547
Huynh-Feldt 442.844 1.000 442.844 .365 .547
Lower-bound 442.844 1.000 442.844 .365 .547
equality * SDOtotal Sphericity Assumed 37.862 1 37.862 .031 .860
Greenhouse-Geisser 37.862 1.000 37.862 .031 .860
Huynh-Feldt 37.862 1.000 37.862 .031 .860
Lower-bound 37.862 1.000 37.862 .031 .860
Error(equality) Sphericity Assumed 160013.881 132 1212.226
Greenhouse-Geisser 160013.881 132.000 1212.226
Huynh-Feldt 160013.881 132.000 1212.226
Lower-bound 160013.881 132.000 1212.226
luck * equality Sphericity Assumed 437.543 2 218.772 .736 .480
Greenhouse-Geisser 437.543 1.995 219.321 .736 .480
Huynh-Feldt 437.543 2.000 218.772 .736 .480
Lower-bound 437.543 1.000 437.543 .736 .393
luck * equality * SDOtotal Sphericity Assumed 201.524 2 100.762 .339 .713
Greenhouse-Geisser 201.524 1.995 101.015 .339 .712

Huynh-Feldt 201.524 2.000 100.762 .339 .713
Lower-bound 201.524 1.000 201.524 .339 .561
Error(luck*equality) Sphericity Assumed 78487.602 264 297.302
Greenhouse-Geisser 78487.602 263.338 298.048
Huynh-Feldt 78487.602 264.000 297.302
Lower-bound 78487.602 132.000 594.603
Interaction luck x equality x SDO = [F(1.995,263.338)=.339, p > 0.001]
Interpretation – The anova test table clearly states that significance value obtained is P= .339 which is above 0.001. Therefore, it can
be stated that there is no significant relationship in perceived luck and perceived quality in with social dominance orientation of
greenhouse geisser.

Tests of Within-Subjects Effects
Measure: MEASURE_1
Source
Type III Sum of
Squares df Mean Square F Sig.
luck Sphericity Assumed 3768.807 2 1884.404 4.516 .012
Greenhouse-Geisser 3768.807 1.668 2259.065 4.516 .017
Huynh-Feldt 3768.807 1.700 2217.057 4.516 .016
Lower-bound 3768.807 1.000 3768.807 4.516 .035
luck * politics1 Sphericity Assumed 1818.162 2 909.081 2.179 .115
Greenhouse-Geisser 1818.162 1.668 1089.827 2.179 .125
Huynh-Feldt 1818.162 1.700 1069.561 2.179 .124
Lower-bound 1818.162 1.000 1818.162 2.179 .142
Error(luck) Sphericity Assumed 110149.079 264 417.231
Greenhouse-Geisser 110149.079 220.216 500.186
Huynh-Feldt 110149.079 224.389 490.885
Lower-bound 110149.079 132.000 834.463
equality Sphericity Assumed 8527.766 1 8527.766 7.071 .009
Greenhouse-Geisser 8527.766 1.000 8527.766 7.071 .009
Huynh-Feldt 8527.766 1.000 8527.766 7.071 .009
Lower-bound 8527.766 1.000 8527.766 7.071 .009
equality * politics1 Sphericity Assumed 847.754 1 847.754 .703 .403
Greenhouse-Geisser 847.754 1.000 847.754 .703 .403
Huynh-Feldt 847.754 1.000 847.754 .703 .403
Lower-bound 847.754 1.000 847.754 .703 .403
Error(equality) Sphericity Assumed 159203.989 132 1206.091
Greenhouse-Geisser 159203.989 132.000 1206.091
Huynh-Feldt 159203.989 132.000 1206.091
Lower-bound 159203.989 132.000 1206.091
luck * equality Sphericity Assumed 109.542 2 54.771 .184 .832
Greenhouse-Geisser 109.542 1.994 54.924 .184 .831
Huynh-Feldt 109.542 2.000 54.771 .184 .832

Lower-bound 109.542 1.000 109.542 .184 .668
luck * equality * politics1 Sphericity Assumed 220.551 2 110.275 .371 .690
Greenhouse-Geisser 220.551 1.994 110.583 .371 .690
Huynh-Feldt 220.551 2.000 110.275 .371 .690
Lower-bound 220.551 1.000 220.551 .371 .544
Error(luck*equality) Sphericity Assumed 78468.576 264 297.229
Greenhouse-Geisser 78468.576 263.266 298.058
Huynh-Feldt 78468.576 264.000 297.229
Lower-bound 78468.576 132.000 594.459
Interaction luck x equality x politics 1. [F(1.994, 263.266)=.371, p > 0.001]
Interpretation – The anova test table clearly states that significance value obtained is P= .371 which is above 0.001. Therefore, it can
be stated that there is no significant relationship in perceived luck and perceived quality in greenhouse geisser and politics 1.

Tests of Within-Subjects Effects
Measure: MEASURE_1
Source
Type III Sum of
Squares df Mean Square F Sig.
luck Sphericity Assumed 1323.674 2 661.837 1.561 .212
Greenhouse-Geisser 1323.674 1.675 790.096 1.561 .215
Huynh-Feldt 1323.674 1.707 775.333 1.561 .215
Lower-bound 1323.674 1.000 1323.674 1.561 .214
luck * politics2 Sphericity Assumed 58.157 2 29.078 .069 .934
Greenhouse-Geisser 58.157 1.675 34.713 .069 .906
Huynh-Feldt 58.157 1.707 34.065 .069 .909
Lower-bound 58.157 1.000 58.157 .069 .794
Error(luck) Sphericity Assumed 111909.085 264 423.898
Greenhouse-Geisser 111909.085 221.144 506.046
Huynh-Feldt 111909.085 225.355 496.590
Lower-bound 111909.085 132.000 847.796
equality Sphericity Assumed 2817.903 1 2817.903 2.329 .129
Greenhouse-Geisser 2817.903 1.000 2817.903 2.329 .129
Huynh-Feldt 2817.903 1.000 2817.903 2.329 .129
Lower-bound 2817.903 1.000 2817.903 2.329 .129
equality * politics2 Sphericity Assumed 371.150 1 371.150 .307 .581
Greenhouse-Geisser 371.150 1.000 371.150 .307 .581
Huynh-Feldt 371.150 1.000 371.150 .307 .581
Lower-bound 371.150 1.000 371.150 .307 .581
Error(equality) Sphericity Assumed 159680.593 132 1209.701
Greenhouse-Geisser 159680.593 132.000 1209.701
Huynh-Feldt 159680.593 132.000 1209.701
Lower-bound 159680.593 132.000 1209.701
luck * equality Sphericity Assumed 1301.788 2 650.894 2.208 .112
Greenhouse-Geisser 1301.788 1.994 652.993 2.208 .112
Huynh-Feldt 1301.788 2.000 650.894 2.208 .112

Lower-bound 1301.788 1.000 1301.788 2.208 .140
luck * equality * politics2 Sphericity Assumed 870.382 2 435.191 1.476 .230
Greenhouse-Geisser 870.382 1.994 436.594 1.476 .230
Huynh-Feldt 870.382 2.000 435.191 1.476 .230
Lower-bound 870.382 1.000 870.382 1.476 .227
Error(luck*equality) Sphericity Assumed 77818.745 264 294.768
Greenhouse-Geisser 77818.745 263.152 295.718
Huynh-Feldt 77818.745 264.000 294.768
Lower-bound 77818.745 132.000 589.536
Interaction luck x equality x politics 2 [F(1.994, 263.152)=1.476, p > 0.001]
Interpretation – The anova test table clearly states that significance value obtained is P= 1.476 which is above 0.001. Therefore, it can
be stated that there is no significant relationship in perceived luck and perceived quality in greenhouse geisser and politics 2.

Tests of Within-Subjects Effects
Measure: MEASURE_1
Source
Type III Sum of
Squares df Mean Square F Sig.
luck Sphericity Assumed 5459.664 2 2729.832 6.443 .002
Greenhouse-Geisser 5459.664 1.675 3259.386 6.443 .003
Huynh-Feldt 5459.664 1.707 3198.494 6.443 .003
Lower-bound 5459.664 1.000 5459.664 6.443 .012
luck * politics3 Sphericity Assumed 120.159 2 60.080 .142 .868
Greenhouse-Geisser 120.159 1.675 71.734 .142 .831
Huynh-Feldt 120.159 1.707 70.394 .142 .835
Lower-bound 120.159 1.000 120.159 .142 .707
Error(luck) Sphericity Assumed 111847.082 264 423.663
Greenhouse-Geisser 111847.082 221.108 505.849
Huynh-Feldt 111847.082 225.317 496.398
Lower-bound 111847.082 132.000 847.326
equality Sphericity Assumed 372.885 1 372.885 .313 .577
Greenhouse-Geisser 372.885 1.000 372.885 .313 .577
Huynh-Feldt 372.885 1.000 372.885 .313 .577
Lower-bound 372.885 1.000 372.885 .313 .577
equality * politics3 Sphericity Assumed 3027.722 1 3027.722 2.545 .113
Greenhouse-Geisser 3027.722 1.000 3027.722 2.545 .113
Huynh-Feldt 3027.722 1.000 3027.722 2.545 .113
Lower-bound 3027.722 1.000 3027.722 2.545 .113
Error(equality) Sphericity Assumed 157024.021 132 1189.576
Greenhouse-Geisser 157024.021 132.000 1189.576
Huynh-Feldt 157024.021 132.000 1189.576
Lower-bound 157024.021 132.000 1189.576
luck * equality Sphericity Assumed 820.350 2 410.175 1.382 .253

Greenhouse-Geisser 820.350 1.994 411.463 1.382 .253
Huynh-Feldt 820.350 2.000 410.175 1.382 .253
Lower-bound 820.350 1.000 820.350 1.382 .242
luck * equality * politics3 Sphericity Assumed 341.987 2 170.994 .576 .563
Greenhouse-Geisser 341.987 1.994 171.531 .576 .562
Huynh-Feldt 341.987 2.000 170.994 .576 .563
Lower-bound 341.987 1.000 341.987 .576 .449
Error(luck*equality) Sphericity Assumed 78347.140 264 296.769
Greenhouse-Geisser 78347.140 263.174 297.701
Huynh-Feldt 78347.140 264.000 296.769
Lower-bound 78347.140 132.000 593.539
Interaction luck x equality x politics 3 [F(1.994, 263.174)=.576, p > 0.001]
Interpretation – The anova test table clearly states that significance value obtained is P= .576 which is above 0.001. Therefore, it can
be stated that there is no significant relationship in perceived luck and perceived quality in greenhouse geisser and politics 3.

Summary of all table:-
Source Type III Sum
of Squares df
Mean
Square F Sig.
Partial Eta
Squared
luck * equality Greenhouse-
Geisser
1161.873 1.995 582.492 1.964 .142 .015 p > 0.001
Null
hypothesis
is
accepted
luck * equality
* SDOtotal Greenhouse-
Geisser
201.524 1.995 101.015 .339 .712 p > 0.001
Null
hypothesis
is accepted
luck * equality
* politics1 Greenhouse-
Geisser
220.551 1.994 110.583 .371 .690 p > 0.001
Null
hypothesis
is accepted
luck * equality
* politics2 Greenhouse-
Geisser
870.382 1.994 436.594 1.476 .230 p > 0.001
Null
hypothesis
is accepted
luck * equality
* politics3 Greenhouse-
Geisser
341.987 1.994 171.531 .576 .562 p > 0.001
Null
hypothesis
is accepted