A Statistical Analysis of Ringfort Distribution and Morphology on the ...
A Statistical Analysis of Ringfort Distribution and Morphology on the ...
A Statistical Analysis of Ringfort Distribution and Morphology on the ...
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early Christian date<br />
Fig. 5.22 Line-graph showing <strong>the</strong> variati<strong>on</strong>s in returned r values from nearest<br />
neighbour analysis over a number <str<strong>on</strong>g>of</str<strong>on</strong>g> site types <str<strong>on</strong>g>and</str<strong>on</strong>g> <strong>the</strong> various recalibrati<strong>on</strong>s to<br />
<strong>the</strong> data<br />
Fig. 5.23 Results <str<strong>on</strong>g>of</str<strong>on</strong>g> regular nearest neighbour analysis in comparis<strong>on</strong> with<br />
experimental analysis, allowing for slope<br />
Fig. 5.24 Tabulated data <str<strong>on</strong>g>of</str<strong>on</strong>g> observed vs. Expected frequencies <str<strong>on</strong>g>of</str<strong>on</strong>g> ringforts in<br />
relati<strong>on</strong> to soil types<br />
Fig. 5.25 Tabulated results <str<strong>on</strong>g>of</str<strong>on</strong>g> chi - square test with Yates’ c<strong>on</strong>tinuity correcti<strong>on</strong><br />
<strong>on</strong> normal <str<strong>on</strong>g>and</str<strong>on</strong>g> combined categories <str<strong>on</strong>g>of</str<strong>on</strong>g> soil types<br />
Fig. 5.26 Observed vs. Expected frequencies <str<strong>on</strong>g>of</str<strong>on</strong>g> ringforts re-categorised by<br />
great soil group<br />
Fig. 5.27 Tabulated results <str<strong>on</strong>g>of</str<strong>on</strong>g> chi - square test <str<strong>on</strong>g>and</str<strong>on</strong>g> Yates c<strong>on</strong>tinuity correcti<strong>on</strong><br />
<strong>on</strong> great soil groups<br />
Fig. 5.28 Histogram <str<strong>on</strong>g>of</str<strong>on</strong>g> observed vs. Expected occurrences <str<strong>on</strong>g>of</str<strong>on</strong>g> ringforts <strong>on</strong> <strong>the</strong><br />
various great soil groups<br />
Fig. 5.29 Tabulated results <str<strong>on</strong>g>of</str<strong>on</strong>g> chi - square test <str<strong>on</strong>g>and</str<strong>on</strong>g> with Yates’ c<strong>on</strong>tinuity<br />
correcti<strong>on</strong> for related earthwork sites<br />
Fig. 5.30 Histogram <str<strong>on</strong>g>of</str<strong>on</strong>g> observed vs. Expected occurrences <str<strong>on</strong>g>of</str<strong>on</strong>g> ringforts <str<strong>on</strong>g>and</str<strong>on</strong>g><br />
related sites <strong>on</strong> <strong>the</strong> various great soil groups<br />
Fig. 5.31 Revised histogram <str<strong>on</strong>g>of</str<strong>on</strong>g> observed vs. Expected occurrences <str<strong>on</strong>g>of</str<strong>on</strong>g> ringforts<br />
<strong>on</strong> <strong>the</strong> various great soil groups, re-categorised to indicate site locati<strong>on</strong> within<br />
0.5km <str<strong>on</strong>g>of</str<strong>on</strong>g> brown earths <str<strong>on</strong>g>and</str<strong>on</strong>g> brown podzolics<br />
95<br />
96<br />
98<br />
101<br />
101<br />
102<br />
102<br />
103<br />
103<br />
105<br />
Fig. 6.1 Variables used in <strong>the</strong> cluster analysis procedure 110<br />
Fig. 6.2 Dendrogram <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> last five cycles <str<strong>on</strong>g>of</str<strong>on</strong>g> ‘Ward’s Method’ for cluster<br />
111<br />
analysis<br />
Fig. 6.3 Cluster I: F-ratios <str<strong>on</strong>g>and</str<strong>on</strong>g> T-values 112<br />
Fig. 6.4 Cluster I Soils 112<br />
Fig. 6.5 Cluster II: F-ratios <str<strong>on</strong>g>and</str<strong>on</strong>g> T-values. 113<br />
Fig. 6.6 Cluster II Soils. 114<br />
Fig. 6.7 Cluster III: F-ratios <str<strong>on</strong>g>and</str<strong>on</strong>g> T-values 114<br />
Fig. 6.8 Cluster III Soils 116<br />
Fig. 6.9 Cluster IV: F-ratios <str<strong>on</strong>g>and</str<strong>on</strong>g> T-values 117<br />
Fig. 6.10 Cluster IV Soils 117<br />
Fig. 6.11 Cluster V: F-ratios <str<strong>on</strong>g>and</str<strong>on</strong>g> T-values 118<br />
Fig. 6.12 Cluster V Soils 119<br />
Fig. 6.13 PCA scattergram for Loop Head area ringforts 122<br />
Fig. 6.14 PCA scattergram <str<strong>on</strong>g>of</str<strong>on</strong>g> variable distributi<strong>on</strong> for ringforts 123<br />
Fig. 6.15 Comparis<strong>on</strong>s between maximum <str<strong>on</strong>g>and</str<strong>on</strong>g> minimum Eigenvalues for<br />
124<br />
Clusters I - V over 1st <str<strong>on</strong>g>and</str<strong>on</strong>g> 2nd Principal Comp<strong>on</strong>ents<br />
Fig. 6.16 Ranges <str<strong>on</strong>g>of</str<strong>on</strong>g> values <str<strong>on</strong>g>of</str<strong>on</strong>g> 1st principal comp<strong>on</strong>ent for Clusters I-V 125<br />
Fig. 6.17 Ranges <str<strong>on</strong>g>of</str<strong>on</strong>g> values <str<strong>on</strong>g>of</str<strong>on</strong>g> 2nd principal comp<strong>on</strong>ent for Clusters I-V 125<br />
Fig. 6.18 Principal comp<strong>on</strong>ents analysis scattergram for Loop Head area<br />
127<br />
ringforts, re-coded by cluster membership<br />
Fig. 6.19 Enlarged secti<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> centroid area <str<strong>on</strong>g>of</str<strong>on</strong>g> principal comp<strong>on</strong>ents analysis<br />
128<br />
scattergram for Loop Head area ringforts, re-coded by cluster membership<br />
Fig. 7.1 L<str<strong>on</strong>g>and</str<strong>on</strong>g> values from Early Irish law 135<br />
Fig. 7.2 Tabulati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> cluster groupings with postulated grade from <strong>the</strong> Early<br />
158<br />
Irish laws<br />
Fig. 7.3 Normative model <str<strong>on</strong>g>of</str<strong>on</strong>g> ringfort distributi<strong>on</strong> for <strong>the</strong> Loop Head peninsula 160<br />
Fig. 7.4 Hypo<strong>the</strong>tical model <str<strong>on</strong>g>of</str<strong>on</strong>g> ringfort distributi<strong>on</strong> for <strong>the</strong> Loop Head peninsula 161<br />
Fig. Gaz. 1 Plan <str<strong>on</strong>g>and</str<strong>on</strong>g> secti<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> Liscr<strong>on</strong>een ringfort (32) 185<br />
Fig. Gaz. 2 Plans <str<strong>on</strong>g>and</str<strong>on</strong>g> secti<strong>on</strong>s <str<strong>on</strong>g>of</str<strong>on</strong>g> Lismaguine (65) <str<strong>on</strong>g>and</str<strong>on</strong>g> Lisheencr<strong>on</strong>y (66)<br />
198<br />
ringforts<br />
x