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A preference test was carried out with seven different types of yoghurt. A Friedman test indicated a significant difference between types which were subsequently allocated
A preference test was carried out with seven different types of yoghurt. A Friedman test indicated a significant difference between types which were subsequently allocated to significance groups based upon the LSRD. The results are shown in the table below: Yoghurt Type "D" Type "A" Type "C" Type "E" Type "B" Type "F" Type "G" Rank totals (Tk) Significance group 10 a 18 ab 20 abc 26 bc 28 bc 32 bc 34 Which of the following is true? There is a significant preference for Type "A" over Type "C". There is a significant preference for Type "D" over Type "C". There is a significant preference for Type "E" over Type "D". There is a significant preference for Type "D" over Type "E". 20 panellists rated how much they liked 4 different products using a 9-point hedonic scale. The analyst wanted to dermine if there was a difference in acceptance of the 4 products and carried out a Duncan's Multiple Range Test. Panellist labels were in rows and Product scores were in columns. Below is the summary ANOVA table from the analysis. ANOVA Source of Variation Rows Columns Error SS 103.738 57.6375 176.613 df MS F P-value F crit 19 5.45987 1.76212 0.05167 1.77197 3 19.2125 6.20065 0.00101 2.76644 57 3.09846 Total 337.988 79 Should the analyst carry out pairwise comparisons between products? No, because the p-value for rows is greater than 0.05 Yes, because the SS for columns is less than the SS for rows. O No, because F for columns is greater than df for columns O Yes, because the p-value for colums is less than 0.05 20 panellists rated how much they liked 4 different products using a 9-point hedonic scale. The analyst wanted to dermine if there was a difference in acceptance of the 4 products and carried out a Duncan's Multiple Range Test. Below is the summary ANOVA table from the analysis. ANOVA Source of Variation Rows Columns Error SS 103.738 57.6375 176.613 df MS F P-value 19 5.45987 1.76212 0.05167 3 19.2125 6.20065 0.00101 57 3.09846 F crit 1.77197 2.76644 Total 337.988 79 What is the QD value for when 3 means are compared? 3.0491 3.0981 O 2.9905 2.9805 20 panellists rated how much they liked 4 different products using a 9-point hedonic scale. The analyst wanted to dermine if there was a difference in acceptance of the 4 products and carried out a Duncan's Multiple Range Test. Below is the summary ANOVA table from the analysis. MS ANOVA Source of Variation Rows Columns Error SS 103.738 57.6375 176.613 df F P-value Fcrit 19 5.45987 1.76212 0.05167 1.77197 3 19.2125 6.20065 0.00101 2.76644 57 3.09846 Total 337.988 79 What is the critical Range value for when 3 means are compared? 1.177 O 1.173 O 2.991 2.981
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