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# workshop 5 Vraag 8

*The author of this computation has been verified*
R Software Module: /rwasp_Two Factor ANOVA.wasp (opens new window with default values)
Title produced by software: Two-Way ANOVA
Date of computation: Sun, 30 Oct 2011 10:04:53 -0400

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2011/Oct/30/t1319983521zup68bh7mhwrf0t.htm/, Retrieved Thu, 23 May 2013 08:21:00 +0000

Original text written by user:

IsPrivate?
No (this computation is public)

User-defined keywords:

System-generated keywords (parent):
t1288645075cgfsqx0t70qx6tj (pk = 91119)
Estimated Impact
21

Dataseries X:
» Textfile « » CSV « » Correlation Matrix « » Notched Boxplots «

Output produced by software:

Enter (or paste) a matrix (table) containing all data (time) series. Every column represents a different variable and must be delimited by a space or Tab. Every row represents a period in time (or category) and must be delimited by hard returns. The easiest way to enter data is to copy and paste a block of spreadsheet cells. Please, do not use commas or spaces to seperate groups of digits!

 Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 2 seconds R Server 'Herman Ole Andreas Wold' @ wold.wessa.net

 ANOVA Model Response ~ Treatment_A * Treatment_B means 0.3 0.178 -0.262 0.171 -0.119 -0.209

 ANOVA Statistics Df Sum Sq Mean Sq F value Pr(>F) 2 Treatment_A 2 4.852 2.426 12.601 0 Treatment_B 2 0.105 0.105 0.546 0.462 Treatment_A:Treatment_B 2 0.201 0.101 0.523 0.594 Residuals 111 21.371 0.193

 Tukey Honest Significant Difference Comparisons diff lwr upr p adj F-E 0.122 -0.116 0.359 0.447 H-E -0.353 -0.591 -0.116 0.002 H-F -0.475 -0.708 -0.242 0 V-M 0.061 -0.103 0.224 0.463 F:M-E:M 0.178 -0.211 0.567 0.768 H:M-E:M -0.262 -0.64 0.117 0.347 E:V-E:M 0.171 -0.249 0.59 0.846 F:V-E:M 0.229 -0.19 0.649 0.61 H:V-E:M -0.3 -0.743 0.143 0.371 H:M-F:M -0.44 -0.804 -0.076 0.009 E:V-F:M -0.008 -0.415 0.399 1 F:V-F:M 0.051 -0.356 0.458 0.999 H:V-F:M -0.478 -0.91 -0.047 0.021 E:V-H:M 0.432 0.035 0.829 0.024 F:V-H:M 0.491 0.094 0.888 0.006 H:V-H:M -0.038 -0.46 0.383 1 F:V-E:V 0.059 -0.378 0.495 0.999 H:V-E:V -0.471 -0.93 -0.011 0.041 H:V-F:V -0.529 -0.989 -0.07 0.014

 Levenes Test for Homogeneity of Variance Df F value Pr(>F) Group 5 5.504 0 111

Charts produced by software:
 http://www.freestatistics.org/blog/date/2011/Oct/30/t1319983521zup68bh7mhwrf0t/3xo7x1319983491.png (opens in new window) http://www.freestatistics.org/blog/date/2011/Oct/30/t1319983521zup68bh7mhwrf0t/3xo7x1319983491.ps (opens in new window) Click here to open pdf file.

 http://www.freestatistics.org/blog/date/2011/Oct/30/t1319983521zup68bh7mhwrf0t/4v2ca1319983491.png (opens in new window) http://www.freestatistics.org/blog/date/2011/Oct/30/t1319983521zup68bh7mhwrf0t/4v2ca1319983491.ps (opens in new window) Click here to open pdf file.

 http://www.freestatistics.org/blog/date/2011/Oct/30/t1319983521zup68bh7mhwrf0t/5qgi41319983491.png (opens in new window) http://www.freestatistics.org/blog/date/2011/Oct/30/t1319983521zup68bh7mhwrf0t/5qgi41319983491.ps (opens in new window) Click here to open pdf file.

 http://www.freestatistics.org/blog/date/2011/Oct/30/t1319983521zup68bh7mhwrf0t/60x0g1319983491.png (opens in new window) http://www.freestatistics.org/blog/date/2011/Oct/30/t1319983521zup68bh7mhwrf0t/60x0g1319983491.ps (opens in new window) Click here to open pdf file.

Parameters (Session):

Parameters (R input):

R code (references can be found in the software module):