F Distribution and ANOVA: Summary 1.3 2008/06/24 12:35:35 GMT-5 2008/10/27 15:03:42.223 GMT-5 Susan Dean deansusan@deanza.edu Barbara Illowsky illowskybarbara@deanza.edu Susan Dean deansusan@deanza.edu Barbara Illowsky illowskybarbara@deanza.edu Connexions cnx@cnx.org elementary statistics This module provides a summary of F Distribution and ANOVA as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean. An 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:Each population from which a sample is taken is assumed to be normal. Each sample is randomly selected and independent. 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 of freedom. Assumptions:The populations from which the two samples are drawn are normally distributed. The two populations are independent of each other.