• Share
  • Email
  • Embed
  • Like
  • Save
  • Private Content
ANOVA
 

ANOVA

on

  • 8,380 views

Explains the principles of ANOVA, starting with explanation of t-tests and includes the design, assumptions, and interpretations for one-way ANOVA, one-way repeated measures ANOVA, factorial ANOVA, ...

Explains the principles of ANOVA, starting with explanation of t-tests and includes the design, assumptions, and interpretations for one-way ANOVA, one-way repeated measures ANOVA, factorial ANOVA, mixed-design ANOVA (SPANOVA), and ANCOVA.

Statistics

Views

Total Views
8,380
Views on SlideShare
6,106
Embed Views
2,274

Actions

Likes
4
Downloads
546
Comments
1

3 Embeds 2,274

http://dohwan.tistory.com 2271
http://editor.daum.net 2
http://www.google.com&_=1392091239074 HTTP 1

Accessibility

Categories

Upload Details

Uploaded via as OpenOffice

Usage Rights

CC Attribution-ShareAlike LicenseCC Attribution-ShareAlike License

Report content

Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel

11 of 1 previous next

  • Full Name Full Name Comment goes here.
    Are you sure you want to
    Your message goes here
    Processing…
  • ขอบคุณมากๆค่ะ
    Are you sure you want to
    Your message goes here
    Processing…
Post Comment
Edit your comment
  • 7126/6667 Survey Research & Design in Psychology Semester 1, 2012, University of Canberra, ACT, Australia James T. Neill Home page: http://ucspace.canberra.edu.au/display/7126 Lecture page: http://en.wikiversity.org/wiki/Survey_research_and_design_in_psychology/Lectures/ANOVA http://ucspace.canberra.edu.au/pages/viewpage.action?pageId=43549230 http://en.wikiversity.org/wiki/ANOVA Image source: http://commons.wikimedia.org/wiki/File:3D_Bar_Graph_Meeting.jpg ' License: Public domain License: CC-by-A 2.0 Author: lumaxart ( http://www.flickr.com/photos/lumaxart/ ) Description: Explains the use of advanced ANOVAs. This lecture is accompanied by a computer-lab based tutorial, the notes for which are available here: http://ucspace.canberra.edu.au/display/7126/Tutorial+-+Multiple+linear+regression
  • Image source: http://commons.wikimedia.org/wiki/File:Information_icon4.svg License: Public domain Assumed knowledge: t-tests and basic ANOVAs
  • Image source: http://commons.wikimedia.org/wiki/File:Information_icon4.svg License: Public domain Assumed knowledge: t-tests and basic ANOVAs
  • Image source: http://commons.wikimedia.org/wiki/File:Information_icon4.svg License: Public domain
  • Correlation/regression techniques reflect the strength of association between continuous variables Tests of group differences ( t -tests, ANOVA) indicate whether significant differences exist between group means
  • In MLR we see world is made of covariation. In ANOVA we see the world as made of differences. In MLR, everywhere we look, we see patterns and relationships. In ANOVA we view everything as having the same, more or less than other things.
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/ “ A t-test is used to determine whether a set or sets of scores are from the same population.” - Coakes & Steed (1999), p.61
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/ Adapted from: http://www.tufts.edu/~gdallal/npar.htm
  • Image source: http://commons.wikimedia.org/wiki/File:Information_icon4.svg License: Public domain
  • “ A t-test is used to determine whether a set or sets of scores are from the same population.” - Coakes & Steed (1999), p.61
  • Image soruce: Unknown
  • Image source: Unknown
  • Also called: One sample t -test
  • Image source: James Neill, Creative Commons Attribution 3.0 Australia, http://creativecommons.org/licenses/by/3.0/au/deed.en Fabricated data
  • Adapted from slide 23 of Howell Ch12 Powerpoint: IV is ordinal / categorical e.g., gender DV is interval / ratio e.g., self-esteem Homogeneity of Variance If variances unequal (Levene’s test), adjustment made Normality t-tests robust to modest departures from normality (often violated without consequences) look at histograms, skewness, & kurtosis; consider use of Mann-Whitney U test if departure from normality is severe, particularly if sample size is small (e.g., < 50) Independence of observations (one participant’s score is not dependent on any other participant’s score)
  • Image source: James Neill, Creative Commons Attribution 3.0 Australia, http://creativecommons.org/licenses/by/3.0/au/deed.en Fabricated data
  • Image source: S;ode 23 pf Howell Ch12 Powerpoint Independent samples t -test
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Also called related samples t-test or repeated measures t-test
  • Also known as: Related samples t -test and Repeated measures t -test How much do you like the colour red? How much do you like the colour blue? Is there a difference between people’s liking of red and blue?
  • Image source: James Neill, Creative Commons Attribution 3.0 Australia, http://creativecommons.org/licenses/by/3.0/au/deed.en Data based on Howell (2010), pp. 485-587dsaf
  • Image source: James Neill, Creative Commons Attribution 3.0 Australia, http://creativecommons.org/licenses/by/3.0/au/deed.en
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/ Data source: Unknown
  • Image source: http://commons.wikimedia.org/wiki/File:Tor_Dilsburg.jpg License: Public domain
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/ Homogeneity of variances assumption appears to be violated, but a useful rule of thumb is that ANOVA is robust when the largest SD is not more than approximately double the smallest SD. Also, remember, ANOVA is more robust with larger N and similar cell sizes.
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • When results are consistent, not of major concern. When results are discrepant, better to go with MANOVA
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • LOC = Locus of Control Interaction: In other words, does any relationship between age and control vary as a function of gender)
  • LOC = Locus of Control Interaction: In other words, does any relationship between age and control vary as a function of gender)
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/ Age main effect
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/ Age main effect
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: Unknown
  • Image source: Unknown
  • Image source: Unknown
  • Check: Random selection
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/ Note: By chance, the means for each level of IV are the same – but not different SE, CIs.
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/
  • Image source: James Neill, Creative Commons Attribution-Share Alike 2.5 Australia, http://creativecommons.org/licenses/by-sa/2.5/au/

ANOVA ANOVA Presentation Transcript