Question

I have a statistics question

A health researcher conducted a study to assess the impact of consuming a high protein breakfast on the performance of adolescents during a fitness test. 100 subjects were randomly allocated to receive a high protein breakfast; another third of the subjects received a medium protein breakfast while the other third consumed a low protein breakfast. Information on gender was also collected to examine if this had an effect on the fitness test results. A higher score on the fitness test indicates a higher level of fitness. The data collected is available in protein.csv.

The researcher has a number of interests regarding this research. They would like to know if:

1. “there is a statistically significant effect due to the interaction between the variables the gender of an individual and the level of protein they consume at breakfast on the population mean fitness level?”.
2. “there is evidence to suggest that there is a statistically significant effect on the population mean fitness level due to the amount of protein consumed at breakfast?”
3. “post-hoc tests are required. If they are, perform them and identify all differences. If they are not required, explain why they are not required.”

I have a data set and I need to do it in Rstudio. What would the process be to solve this question including some of the statistics code I might need to use.

Answer 1

Here i have create the counter example

> result=c(2,5,7,3,4,7,8,3)
> breakfast=c("low","High","High","Medium","Medium","High","High","low")
> fittness=c("low","High","High","low","low","High","High","low")
> anova=aov(result~breakfast*fittness)
> summary(anova)
>TukeyHSD(anova)

The necessary codes for your analysis are

>data=read.csv(file.choose())

>attach(data)

> anova=aov(result~breakfast*fittness) # make sure the variable names are same as i have given or change the variable name in the csv so the code will run otherwise change the code according to your data.
> summary(anova)
>TukeyHSD(anova)

( If any difficulty please comment so i can help you in depth, to acheive your analysis, Hope you will like this help , Thank you)