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Experimental Research in IT Analysis – practical part. Hanna Venesvirta. Example analysis etc.
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Experimental Research in ITAnalysis – practical part Hanna Venesvirta
Example analysis etc. Experimental task: select an object as fast as possible.Depend variable: selection time.One independent variable (diameter of an object) with three levels (diameter: 25, 30, and 40 mm).All the participants made the same task: within subject design. one-way within subject ANOVA.
Difference in the means! Is it significant?
Error bars to a graph? (Applies to MS Office 2007 & 2010) - Make the graph - Select the data series from the graph -> ”chart tools” is available - Select ”layout” – ”error bars” – ”more error bars options” - Here we use only ”positive” error bars – select ”plus” - ”Error amount” == ”custom” – select ”specify value” – select from the sheet the values you have calculated for the deviation (e.g., S.E.M.s) for ”positive error value” (MS Office 2013? E.g. http://www.officetooltips.com/excel/tips/adding_error_bars.html )
Data to SPSS? Three ways (at least): 1) Input by hand Might be painful and cause errors 2) Copy-and-paste (from, e.g., Excel) Paste variable names to ”variable view” and data to ”data view” Note: SPSS is picky with variable names – avoid at least spaces and umlauts
Data to SPSS? 3) Open data from, e.g., Excel Open – data – browse to data location – select the file type you are using Note: for the SPSS analysis you use only the data matrix (so no means or deviations etc. are used here)
From the output, find table ”tests of within-subjects effects”
- So there is a difference, but where? -> pairwise comparisons Comparing 25 mm to 30 mm, 25 mm to 40 mm, and 30 mm to 40 mm -> 3 comparisons Two ways: 1) via the GLM menu (showed first) - calculates automatically the Bonferroni correction but does not tell the t-values 2) via pairwise t-tests-menu (2nd) - gives t-values - remember to calculate the B-correction by hand (α/no. of comparisons)
From the output, find ”pairwise comparisons” under ”estimated mariginal means”: Check in which order your columns were and you will find out where the difference is. size 1=25 mm 2=30 mm 3=40 mm
Reporting pairwise comparisons (1) Check in which order your columns were and you will find out where the difference is. 1=25 mm 2=30 mm 3=40 mm ”MD” stands for ”Mean Difference”
Non-parametric one way within subjects analysis of variance:Friedman test
From the output, find ”test statistics” NPar Tests Friedman Test
Post hocs for Friedman: Wilcoxon (Repeated Measures) Signed-Rank test
From the output, find ”test statistics” Wilcoxon Signed Ranks Test
Reporting Wilcoxon test Note: doubleclick the table (twice) and you will see more accurate p-value (on this case p = 0.000517 so it is significant in 0.01 level as 0.01/3=0.0033..).