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Lecture

# Week 11.docx

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School
Pennsylvania State University
Department
Statistics
Course
STAT 200
Professor
Andrew Wiesner
Semester
Spring

Description
11/2/10 Week 11 Analysis of Variance F= variation among sample means/natural variation within groups One Sample Mean t­test Ex. Student mean GPA to 3.00 Two Sample Mean t­test Ex. Student mean GPA from PSU to OSU Analysis of Variance or ANOVA test Ex. Student mean GPA for PSU, OSU, MSU, Indiana ­ Why not do a series of two sample mean t­tests? ­ Ex. Compare PSU to OSU, PSU to MSU, OSU to MSU, OSU to IND, MSU to  IND (NO) ­ At one time compare PSU, OSU, MSU, and Indiana (YES) H o all means are equal H : not all means are equal or written another way at least one mean differs a Ex. 4 school GPA’s H o M psuM  osu  = In msu H a not all means are equal  3 assumptions for ANOVA test 1. Groups are independent  2. Response (i.e. what you are measuring) is normal distributed 3. Equal variance across all groups. Rule of thumb largest S.D./smallest S.D. is
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