_index.org

z-test

Last edited: August 8, 2025

A z-test is a hypothesis test for statistical significance between two sample proportions. Before it can be conducted, it must meet the conditions for inference for a z-test.

conditions for inference (z-test)

  • has to be random
  • has to be reasonably normal (vis a vi test for normality)
  • each sample has to be independent (or 10% rule)

use a z-statistic to find p-value

  1. Given a sample proportion, calculate the sample proportion standard deviation (given on the formula sheet)
  2. Then, divide the difference between measured and null proportions to figure \(z\)

that is,

zero

Last edited: August 8, 2025

\(0\) is a list of length \(n\) whose coordinates are all zero

Formally—

\begin{equation} 0 = (0,\ldots,0) \end{equation}

Zero-Sum Game

Last edited: August 8, 2025

A Zero-Sum Game happens during the following situation:

We have two distributions \(X\) and \(Y\). A “Zero-Sum Game” is a case where:

\begin{equation} P(success) = P(Y > X) \end{equation}

(because \(Y>X \implies X< Y\), so there’s no case whereby a situation can both “cause success”).

zettlekasten

Last edited: August 8, 2025

A zettlekasten is an atomic notetaking system.

Steps:

Lit notes

  • brief: < 3 sentences
  • write it in your own words

Reference notes

  • Take reference notes?

Fleeting Notes

  • shower notes

Permanent nodes

  • Go through each notes from above, think about how it matters to your research
  • Try to explicitly add value to existing ideas
  • Try to find meaningful connection between ideas

finding connections

  • How does this fit into what I know?
  • Can this be explained?

find keywords

  • not just to store a note, but how to retrieve it
  • “in which circumstance will I need this note”
  • “when and how will I need this idea”

zettlekasten index

Last edited: August 8, 2025

a zettlekasten index is an index in a zettlekasten file format; it keeps track of all lists of notes. Head to Index Index for an index of indexes in this particular zettlekasten.