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Sasakian Finsler structures on pull-back bundles
Under a pull-back approach given by T. Aikou and L. Kozma
and firstly presented by D. Bao, S. S. Chern and Z. Shen, we introduce, in
this paper, the concepts of almost contact and normal almost contact Finsler
structures on the pull-back bundles. Properties of structures partly Sasakians
are studied. Using the hh-curvature tensor of Chern connection given by D.
Bao, S. S. Chern and Z. Shen, we obtain some characterizations of horizontal
Sasakian Finsler structures and K-contact structures via the horizontal Ricci
tensor and the flag curvature.departmental bulletin pape
Measure of departure from marginal point-symmetry for multi-way contingency tables
To analyze two-way contingency tables with ordered categories, Iki
and Tomizawa (2018) proposed a measure to distinguish two kinds of marginal
asymmetry for the midpoint. However, that measure cannot necessarily judge
all of the marginal asymmetries. We improve the measure and give a new
measure for multi-way contingency tables. We also derive an approximate confidence
interval for the measure.departmental bulletin pape
The analysis on basic mathematical achievement of high school students using Item Response Theory
項目反応理論(IRT)には、学力テストの結果から各問題の困難度・識別力と受験者の能力値を同時に推定でき、また異なるテストによる結果でも比較できるといった利点がある。東京理科大学数学教育研究所が実施している「数学基礎学力調査」のIRT による分析でも、従来のテストの合計点や問題の正答率といった指標では捉え切れない、精度の高い学力指標や問題ごとの特性が得られており、本稿では、各問題の項目(困難度・識別力)パラメータとその問題の内容・性質との関連性について論じる。departmental bulletin pape