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13.5 Summary

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This module provides a summary of F Distribution and One-Way ANOVA as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean.
  • A One-Way ANOVA hypothesis test determines if several population means are equal. The distribution for the test is the F distribution with 2 different degrees of freedom.

      Assumptions:

    1. Each population from which a sample is taken is assumed to be normal.
    2. Each sample is randomly selected and independent.
    3. The populations are assumed to have equal standard deviations (or variances)
  • A Test of Two Variances hypothesis test determines if two variances are the same. The distribution for the hypothesis test is the F distribution with 2 different degrees offreedom.

      Assumptions:

    1. The populations from which the two samples are drawn are normally distributed.
    2. The two populations are independent of each other.
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Source:  OpenStax, Collaborative statistics: custom version modified by r. bloom. OpenStax CNX. Nov 15, 2010 Download for free at http://legacy.cnx.org/content/col10617/1.4
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