Statistics › Section K · The chi-square distribution › Topic K.1

The chi-square distribution

Means are compared with t and proportions with z - but counts in categories need a new curve. The chi-square distribution prices how far observed counts depart from expected ones, and this topic meets the family before its tests put it to work.

In this topic

  • A curve for counts
  • The chi-square idea: squared distances
  • The distribution's shape
  • One parameter: degrees of freedom
  • Mean and spread
  • Growth toward symmetry
  • Worked example: reading a statistic against its df
  • Worked example: a first statistic
  • Common mistakes to avoid
  • Key takeaways

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