Select the Question no 5. Instead of using SPSS software as used in the text, si

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Select the Question no 5. Instead of using SPSS software as used in the text, simply write out the steps you would take to accomplish your answer. first picture shows questions no 5 and the second picture shows data set

this is the data set table for the above question..................... the picture below shows data set

Thickness pleasantness Thick 1 Thick 3 Thick 2 Thick 3 Thick 4 Thick 4 Thick 5 Thick 4 Thick 3 Thick 4 Thick 3 Thick 2 Thick 2 Thick 3 Thick 3 Thick 4 Thick 5 Thick 4 Thick 3 Thick 2 Medium 3 Medium 4 Medium 3 Medium 2 Medium 3 Medium 4 Medium 4 Medium 4 Medium 3 Medium 3 Medium 3 Medium 4 Medium 5 Medium 4 Medium 3 Medium 4 Medium 3 Medium 3 Medium 2 Medium 3 Thin 1 Thin 3 Thin 2 Thin 1 Thin 1 Thin 1 Thin 2 Thin 2 Thin 3 Thin 2 Thin 1 Thin 1 Thin 2 Thin 2 Thin 3 Thin 3 Thin 2 Thin 1 Thin 2 hnique le one- exam es you the test 251 Chapter 13 Two Groups Too Many? 3. Using the data in Chapter 13 Data Set 2 and SPSS, compute the F ratio for a comparison among the three levels representing the aver- Video 13.6 age amount of time that swimmers practice weekly 15, 15-25, and 25 hours), with the outcome variable being their time for the 100-yard freestyle. Answer the question of whether practice time makes a difference. Don't forget to use the Options feature to get the means for the groups. 4. The data in Chapter 13 Data Set 3 were collected by a researcher who wants to know whether the amount of stress is different for three Video 13 groups of employees. Group 1 employees work the morning day shift, Group 2 employees work the day/evening shift, and Group 3 employees work the night shift. The null hypothesis is that there is no difference in the amount of stress between groups. Test this in SPSS and provide your conclusion 5. The Noodle company wants to know what thickness of noodle con- sumers find most pleasing to their palate (on a scale on 1 to 5, with Video 13.8 1 being most pleasing), so the food manufacturer put it to the test. The data are found in Chapter 13 Data Set 4. Turns out that there is a significant difference (F 19.398, p .001), and thin noodles are most preferred. But (2,57) about differences among thin, medium, what and thick noodles? Post hoc analysis to the rescue! STUDENT STUDY SITE for additional exercises Go to 13, Two Groups Too Many?, for and study resources. Select Chapter chapter-specific activities. Media Links Flash Cards Data Sets Chapter Quiz SAGE Journal Articles Author Video

Explanation / Answer

We shall provide the solution using the open source statistical package R.

Please note that if the results of the anova are signifcant, only then we conduct a post hoc analysis. The reason is that anova is an omnibus test , which means it only tells that atleast 2 groups are different it doesnt tell which groups are different. We shall conduct TukeyHSD to find out which groups are different.

The complete R snippet is as follows

# read the data into R dataframe
data.df<- read.csv("C:\Users\586645\Downloads\Chegg\thickness.csv",header=TRUE)
str(data.df)

# perform anova analysis
a<- aov(lm(pleasantness~ Thickness,data=data.df))

summary(a)

# post hoc analysis
TukeyHSD(a)

The results are

> summary(a)
Df Sum Sq Mean Sq F value Pr(>F)
Thickness 2 29.23 14.617 19.4 3.75e-07 *** (exactly as shown in the book) , as the p value is less than 0.05 , hence anova results are significant and we shall conduct post hoc
Residuals 57 42.95 0.754
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
> TukeyHSD(a)
Tukey multiple comparisons of means
95% family-wise confidence level

Fit: aov(formula = lm(pleasantness ~ Thickness, data = data.df))

$Thickness
diff lwr upr p adj
Thick-Medium -0.15 -0.8105645 0.5105645 0.8487005 , as this p value is higher than 0.05 hence not signifcant
Thin-Medium -1.55 -2.2105645 -0.8894355 0.0000016
Thin-Thick -1.40 -2.0605645 -0.7394355 0.0000119

only groups thin-medium and thin thick are statistically signifcant in terms of differences as there p values are less than 0.05

Hope this helps

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Select the Question no 5. Instead of using SPSS software as used in the text, si

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