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THE CONSCIOUSNESS ATLAS
Read. Experiment. Follow the evidence.

ConsciousnessLearn · Explore · Joseph Anady

Chosen statistical significance level

Here α=0.05 denotes the manuscript’s nominal statistical threshold. This α is distinct from the α coefficient in its differential equation. A threshold choice does not correct for dependence, selection effects, or an unvalidated measurement definition.

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eq-ac2539bbb24f73mathematical expression
α=0.05\alpha = 0.05

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Here α=0.05 denotes the manuscript’s nominal statistical threshold. This α is distinct from the α coefficient in its differential equation. A threshold choice does not correct for dependence, selection effects, or an unvalidated measurement definition.

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TermMeaning in this source
α

Nominal significance level in this statistical section

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\textbf{Consciousness Jump Analysis:}
\begin{itemize}
\item Test: Welch's two-sample t-test (unequal variances)
\item Effect size: Cohen's $d = (\mu_2 - \mu_1) / s_{pooled}$
\item Significance threshold: $\alpha = 0.05$ (two-tailed)
\end{itemize}

\textbf{Stability Analysis:}
\begin{itemize}
\item Descriptive statistics: mean, SD, min, max, range
\item Trend test: Mann-Kendall for monotonic trend
\item Stationarity: Augmented Dickey-Fuller test
Exact original notation
\alpha = 0.05

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Sources & provenance

01
manuscript.tex
line 513 · Sep 22, 2026
\alpha = 0.05
02
manuscript.tex
line 511
\alpha = 0.05
03
manuscript.tex
line 513 · Sep 22, 2026
\alpha = 0.05
04
manuscript.tex
line 511
\alpha = 0.05

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