Fortified Force Field Analysis in Data Mining of One-Way Repeated Measure ANOVA

Comparative Analysis of Barefoot and Shod Running This study investigated the biomechanical difference between running barefoot and shod before and after a barefoot training program (BTP). Foot angles at contact (FA), contact time (CT), stride length (SL), initial contact force (ICF), and total peak force (TPF) in shod and unshod runners was analyzed. Fourteen collegiate runners attended 12 total sessions over a two week period. Subjects performed a baseline trial, running eight (10-20 meter) repetitions, four barefoot and four shod, at three different stations; running over a force plate, running in front of a SONY DCR-HC52 video camera (30fps) and running in front of a Casio Exilim Pro EX-F1 camera (300fps). A Post-Test (PT) was conducted at the end of the BTP. A repeated measure ANOVA showed significance (p<.05) in the Test factor, BTP; lowering participants FA mean from 18.8deg+/-.9deg to 5.6deg+/-15.1deg, CT mean from .221m+/-.02m to .2m+/-.03m, and TPF mean from 1427.4N+/-312.9N to 1348.2N+/-269.4N. A repeated measure ANOVA showed significance (p<.05) in the Condition factor (shod vs. unshod); lowering participants FA mean from 23.1deg+/-12.6deg to 1.3deg+/-14.4deg, SL mean from .9m+/-.1m to .8m+/-.1m, and ICF mean from 1465.3N+/- 369.6N to 1324.7N+/-379.4N. Running barefoot and following a BTP alters running biomechanics in ways that may decrease running related injuries.

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Symmetry Coordinates and Tentative Force Field Analysis of a PMo12O40 Model with the Keggin Structure

Zeitschrift für Naturforschung A ◽

10.1515/zna-1976-1221 ◽

1976 ◽

Vol 31 (12) ◽

pp. 1589-1600 ◽

Cited By ~ 2

Author(s):

Lennart Lyhamn ◽

S. J. Cyvin ◽

B. N. Cyvin ◽

J. Brunvoll

Keyword(s):

Experimental Data ◽

Force Field ◽

Force Constant ◽

Raman Spectra ◽

Vibrational Analysis ◽

Field Analysis ◽

Infrared And Raman Spectra ◽

Symmetry Coordinates ◽

Force Field Analysis ◽

Complex Ion

Abstract A complete vibrational analysis is performed for the 53 atomic PMo12O40 model of Td symmetry. The symmetry coordinates are classified into those of (a) ligand vibrations, (b) framework-ligand couplings, (c) framework vibrations, and (d) interligand vibrations. Simple valence force fields are estimated, and the influence of inclusion of redundancies on the calculated frequencies and symmetry force constants is investigated. Comments are made on calculated symmetry force constant values up to 345 mdyne/Å. Vibrational frequencies are calculated for the Mo3O7 and Mo3O13 units and for the PMo12O403- complex ion. For the latter compound the calculated values are compared with experimental data from infrared and Raman spectra.

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