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Statistics - Pokemon - Multivariate Analysis Of Variance - Statistics Assignment Help
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Assignment Task: In this assignment, you will be working with a large data set containing the details of every known Pokemon, which is saved as .csv file in the ‘Assignment’ tab on Canvas under the name Pokemon Data .csv . The main aim of the assignment is to use all of the ‘R’ skills you have learnt in the module so far (and some you will learn in the next week or two) to analyse this data set in detail. To be more specific, you will analyse this data set by answering each of the following questions, with written explanations where necessary: Give a brief introduction to describe the data set being analysed with some explanations behind the different variables/columns of the data;- How many Pokemon are there of each type?
- What proportion of the Pokemon are legendary?
- Which Pokemon have the highest overall ‘HP’?
- Determine the sample mean vector for the quantitative variables in this data;
- Which quantitative variable exhibits the greatest level of variation?
- Which two quantitative variables show the highest correlation and what type of correlation do they have?
- Create an informative plot using the pairs.panels() function contained in the "psych" package and explain its different output components.
- Using Q-Q plots, decide if the assumption of multivariate normality is valid for this data set. Analyse, both, the individual variable distributions and the distribution of the entire set of quantitative variables, giving a complete explanation of how and why you have made your decision. Back up your claim by conducting a Shapiro Wilks test on each of the individual variables.
- Assuming that multivariate normality does hold for each observation in this data set, test if the population mean vector of quantitative variables is equal to ? = (70,80,75,73,70,70) .
- If the above hypothesis is rejected, determine which of the variables contributed the most to the rejection.
- Provide a plot of the 6 quantitative variable sample means and test if they are equal
- Conduct a Two-way MANOVA test with Pokemon ‘Type’ as the first factor and ‘Legendary’ status as the second factor. Comment on the results of your findings. i) Conduct a One-way MANOVA test to conclude if there is a significant difference in the quantitative variables between each of the different ‘Types’ of Pokemon. Clearly state the null and alternative hypotheses used in this test.
- If the null hypothesis, H0, was rejected, conduct individual ANOVA tests on each of the variables independently and comment on your findings in relation to the MANOVA test. Comment on the two main problems when taking this approach to assess the variables individually.It is believed that there is a significant difference in the quantitative variables between the Pokmon types ‘Water’ and ‘Fire’, however, it is also believed that the average level of the variables between the two groups is the same. Conduct an appropriate statistical analysis to make an informed comment on both of these 2 Multivariate Statistics - 6PAM1036 claims.
- In a similar way to the One-way test, conduct individual Two-way ANOVA tests on each of the quantitative variables and comment on the results. Make sure to comment, again, on the problems associated with this type of ‘individual’ analysis.
- Finally, give a brief conclusion to the main findings discovered within this multivari - ate analysis.
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