Editing Psionics (section)

== Statistical Equations ==
=== Central Limit Theorem ===
<math>\bar{X}_n \xrightarrow{d} N(\mu, \sigma^2/n)</math>
* Describes the distribution of sample means, potentially relevant for analyzing experimental data related to psychic phenomena.
* Offers insights into the statistical properties of psychic experiences, including the variability and reproducibility of psi-related outcomes.
* Provides mathematical tools for hypothesis testing and parameter estimation in psi research.

=== Bayes' Theorem ===
<math>P(H|E) = \frac{P(E|H) \cdot P(H)}{P(E)}</math>
* Describes the probability of a hypothesis given evidence, potentially relevant for assessing the strength of empirical support for psi phenomena.
* Offers insights into the Bayesian updating of beliefs based on new psychic experiences or experimental data.
* Provides mathematical formalism for studying the rationality and coherence of belief systems in psi research.

=== Student's t-distribution ===
<math>f(t|n) = \frac{\Gamma((n+1)/2)}{\sqrt{n\pi}\Gamma(n/2)} \left(1 + \frac{t^2}{n}\right)^{-(n+1)/2}</math>
* Describes the distribution of the difference between a sample mean and the population mean, potentially relevant for analyzing experimental data in psi research.
* Offers insights into the uncertainty associated with estimates of psychic effects, including the effects of small sample sizes and measurement error.
* Provides mathematical tools for hypothesis testing and confidence interval estimation in psi experiments.

=== Chi-squared Distribution ===
<math>f(x|k) = \frac{1}{2^{k/2}\Gamma(k/2)} x^{k/2 - 1} e^{-x/2}</math>
* Describes the distribution of the sum of squares of independent standard normal random variables, potentially relevant for analyzing experimental data in psi research.
* Offers insights into the variability of psychic effects across different experimental conditions and populations.
* Provides mathematical tools for assessing the goodness-of-fit of models and the reliability of experimental results in psi research.

=== Hypothesis Testing ===
Various equations from statistical hypothesis testing, such as those for t-tests, F-tests, etc., would be used to analyze experimental data and determine the significance of results.
* Offers rigorous statistical methods for assessing the strength of evidence for psi phenomena against null hypotheses.
* Provides formal procedures for evaluating the reliability and replicability of psychic effects observed in experimental studies.
* Allows for the quantitative comparison of psychic abilities across different experimental conditions and populations.