Multivariate Analysis of Variance 1st step: IV- Participation in eight levels: Level 1 to Level 8 DV- Judges decisions from Judge 1 to judge 8 Appropriate Statistical Test – Since there are more than multiple dependent variables, the relevant statistical test identified is multivariate analysis of variance (MANOVA) (Nagarsenker & Pillai, 1973)…
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H1: There is no difference in the mean rating of participants by the different judges in the different levels. 4th step: Alpha (level of significance) = .05 5th step: dftotal = 15 – 8 = 7 dfBT = 8 – 8 = 0 dfWT = 15 – 8= 7 6th step: Critical F value = 314.659 Multivariate Testsa Effect Value F Hypothesis df Error df Sig. Partial Eta Squared Noncent. Parameter Observed Powerc Country Pillai's Trace .883 314.659b 7.000 293.000 .000 .883 2202.613 1.000 Wilks' Lambda .117 314.659b 7.000 293.000 .000 .883 2202.613 1.000 Hotelling's Trace 7.517 314.659b 7.000 293.000 .000 .883 2202.613 1.000 Roy's Largest Root 7.517 314.659b 7.000 293.000 .000 .883 2202.613 1.000 7th step: Tests of Within-Subjects Effects Measure: MEASURE_1 Source Type III Sum of Squares df Mean Square F Sig. Partial Eta Squared Noncent. ...
Results it can be concluded that there existed a statistically significant difference between the ratings given by the judges whereby, F (8, 393) = 314.659.74, P=.000 < .0005; Wilk's ? = 0.117, partial ?2 = .883 (see table below) Multivariate Testsa Effect Value F Hypothesis df Error df Sig. Partial Eta Squared Noncent. Parameter Observed Powerc Country Pillai's Trace .883 314.659b 7.000 293.000 .000 .883 2202.613 1.000 Wilks' Lambda .117 314.659b 7.000 293.000 .000 .883 2202.613 1.000 Hotelling's Trace 7.517 314.659b 7.000 293.000 .000 .883 2202.613 1.000 Roy's Largest Root 7.517 314.659b 7.000 293.000 .000 .883 2202.613 1.000 Method Participants the data is a product of the International Pancake-Flipping contest, where eight judges rated the flipping styles of 300 competitors. The number of participants is therefore 300 based on the flipping pancake contest and the respective judges ratings. The judges are randomly referred to as judge 1 to judge 8. The results are for different levels across different countries across the 300 participants who form the study sample. A power analysis revealed that, for a one-way MANOVA with SMALL effect size (?2 = .883) and an alpha of .05, 300 participants yielded a power of 1.0. Design M ANOVA was used to determine whether there was a difference between the participants rating by the judges across the various levels of participation. The independent variables was the level of participation across the different countries while the dependent variable were the judges ranging from judge one to judge 8 in terms of rating, rated as either high or low. Materials The event organizers were submitted with consent
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(Midterm Assignment Example | Topics and Well Written Essays - 750 Words)
“Midterm Assignment Example | Topics and Well Written Essays - 750 Words”, n.d. https://studentshare.org/other/1395206-midterm.
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