RESEARCH BASE
Search 3,721 documents across 34 fields — every claim tier-rated by evidence
3,633 are the core, quality-scored corpus (34 lettered sections — see How We Work); the remaining 88 are cross-corpus synthesis documents (68 InterDocs, 12 Connections, 8 Theories) also indexed here.
257 results for "statistical analysis" — page 2 of 13
V_4_09 — Numerical Analysis: Algorithms for Approximate Solutions
Numerical analysis — the study of algorithms for approximately solving mathematical problems that cannot be solved exactly (or cannot be solved exactly in practice due to computational constraints) — is the mathematical
V_4_14 — Wavelets: Multi-Resolution Analysis and Signal Processing
Wavelets — localized, oscillating functions that can be scaled and shifted to analyze signals at multiple resolutions simultaneously — represent one of the most important mathematical developments of the late 20th centur
V_3_15 — Functional Analysis: Infinite-Dimensional Spaces and Operators
Functional analysis — the study of infinite-dimensional vector spaces (function spaces) and the linear operators acting on them — is one of the great unifying frameworks of 20th-century mathematics. It provides the rigor
M_3_10 — Ancient Astronomical Precision: Were They Really That Accurate?
Claims of extraordinary astronomical precision in ancient monuments — temples aligned to specific stars, pyramids oriented to true north within fractions of a degree, megalithic sites encoding the 25,920-year precession
M_1_09 — Voynich Manuscript — Undeciphered Text Analysis
The Voynich Manuscript (Beinecke Rare Book and Manuscript Library, Yale University, catalog number MS 408) is a hand-written, lavishly illustrated codex of approximately 240 vellum pages (c. 234 surviving, some missing)
ZG_5_02 — Narrative Structure: Story Grammar and Discourse Analysis
Narrative structure — the recurring patterns by which humans organize events into stories — is one of the most fundamental and universal features of human cognition and communication. From Aristotle's observation (c. 335
ZG_5_12 — Conversation Analysis: Turn-Taking, Repair, and Sequential Organization
Conversation Analysis (CA) is a rigorous empirical approach to studying the organization of naturally occurring talk-in-interaction, founded by the sociologist Harvey Sacks in collaboration with Emanuel Schegloff and Gai
ZG_5_07 — Discourse Analysis: Conversation Structure, Coherence, and Power
Discourse analysis — the study of language in use beyond the sentence — investigates how sequences of sentences, utterances, and texts are organized, how they create coherence and meaning, and how they relate to social s
ZG_5_09 — Machine Translation: Rule-Based, Statistical, and Neural Approaches
Machine Translation (MT) — the use of computers to translate text or speech from one natural language to another — has been a central problem of computational linguistics and artificial intelligence since the earliest da
G_4_16 — Comparative Mythology as Science — Phylogenetic and Statistical Approaches
Comparative mythology — the systematic study of myths and folktales across cultures to identify shared elements, trace historical relationships, and understand the cognitive and social processes that generate mythologica
G_1_04 — Isotope Analysis and Provenance Studies
Isotope analysis — the measurement of ratios of stable or radiogenic isotopes preserved in human bone, tooth enamel, animal remains, ceramics, metals, and organic residues — has become one of the most powerful tools in m
G_1_13 — Use-Wear Analysis and Residue Studies — Reading Ancient Tools
Use-wear analysis (also called traceology or microwear analysis) and residue studies are complementary methodologies that determine how ancient tools were used — what materials they processed, what motions were involved,
G_1_07 — Stable Isotope Analysis and Ancient Diets
Stable isotope analysis of human and animal remains — primarily the measurement of carbon ($\delta^{13}$C), nitrogen ($\delta^{15}$N), and sulfur ($\delta^{34}$S) isotope ratios in bone collagen, tooth enamel, hair kerat
G_2_13 — Fractal Analysis of Ancient Structures and Settlements
Fractal analysis applies the mathematics of self-similar, scale-invariant geometry — developed by Benoît Mandelbrot (The Fractal Geometry of Nature, 1982) — to the study of ancient architectures, settlement patterns, and
G_2_18 — Digital Humanities and Computational Text Analysis
Digital humanities (DH) encompasses the application of computational methods — text mining, natural language processing (NLP), statistical analysis, data visualization, geographic information systems (GIS), network analy
G_2_09 — Network Analysis in Archaeology — Trade, Communication, Influence
Network analysis — rooted in graph theory and social network analysis (SNA) — provides formal mathematical tools for modeling and analyzing the structure of relationships between archaeological entities: sites, regions,
ZD_4_06 — Mathematical Sociology and Network Analysis
Mathematical sociology applies formal mathematical models — graph theory, probability, game theory, dynamical systems, and statistical mechanics — to understand social structures, collective behavior, and institutional d
ZD_4_09 — Signal Processing and Fourier Analysis
Signal processing — the analysis, modification, and synthesis of signals (time-varying or spatially varying quantities) — is fundamental to telecommunications, audio engineering, image processing, radar, medical imaging,
ZA_4_07 — Boltzmann Brains and Statistical Mechanics Paradoxes
The Boltzmann brain paradox reveals a deep tension between statistical mechanics and cosmology. Ludwig Boltzmann (1896) suggested that the low entropy of the observable universe might be a rare thermal fluctuation from e
V_3_09 — Fourier Analysis: Signal Processing and the Mathematics of Frequency
Fourier analysis — the decomposition of functions into constituent sinusoidal waves — is one of the most transformative mathematical ideas in science and engineering. Joseph Fourier's 1822 insight that any periodic funct
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